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School: UNC
Equilibrium of Forces Acting at a Point Phys 104LSection 435 Lin Letian September 13, 2006 Josh Kahn Lab partner: Shanley Morgan UNC Honor Pledge: _ Abstract In this experiment, we investigated the hypothesis that forces exhibit additive properties and al
School: UNC
NAME: _ Physics 100 Fall 2012 Homework 3 Answer Sheet: Due 9/14 in class: Show your work on these sheets for all sections 1. Chapter 2, Case 2 (See textbooks Student Companion Site) Do not write in boxes below. They are for grades. a. Explain The door nee
School: UNC
Part 1 Angle of Incidence (degrees) Refraction 1 0 10 20 30 40 50 60 70 80 Refraction 2 0 5 12 19 25 30 35 39 41 0 8 15 21 22 32 37 40 42
School: UNC
Part 1: Mass of hollow ring = .1002 kg +/- 0.0001 kg Ring was 108.05mm +/- 0.01 mm in diameter from inside to inside Height from bottom of ramp to tray = H = 0.765 +/- 0.001 m h (meters) of h (meters) (meters) x3 (meters) x1 x2 (meters) x4(meters) Mean x
School: UNC
h 4.00E15 6.408E034 stoppingpotential(1st) stoppingpotential(2nd) 0.775 0.764 0.897 0.886 1.495 1.479 1.705 1.685 1.961 1.981 e Um Uh b Fo m h 1.3371 2.1420342E019 334275000000000 3.00E15 4.806E034 Ub U Ufo e Um Uh b Fo 0.5613 8.992026E020 187100000000000
School: UNC
Ohms Law and Electrical Currents Suneet Bhansali February 3, 2010 TA: Ryan Partners: Caroline, Logan, Jennie, Trey Phys 105 Section 413 Pledge Abstract: In this experiment, we measure the current-voltage qualities of a resister in order to determine if th
School: UNC
School: UNC
School: UNC
Space-time displacement Space and time form the space-time displacement 4-vector X = (ct, x, y,z) The coordinates of this 4-vector X transform following the Lorentzs transformations: & x " = #x $ #%ct (1) ' (ct " = #ct $ #%x ! ! ! ! ! ! v with " = . c The
School: UNC
V Doppler effect: There are two contributions to the Doppler effect: one due to the time dilation and the one due to the movement of the source parallel to the line of sight. The first effect will always be present, not matter how the source moves with re
School: UNC
School: UNC
Lecture 7 Notes hapter 16: Temperature and Heat Temperature scales: T(Kelvin) = T(Celsius) + 273.15 T(Fahrenheit) = (9/5)T(Celsius) + 32 Heat is a transfer of energy due to a temperature difference. A calorie is the amount of heat needed to raise the temp
School: UNC
Course: Electronics
Paper Topics Phil 165 Spring 08 Paper Due: 1st April 08 3) For a wide range of cases we do not recognize a physicians right to refuse treatment on moral grounds. For example, a Jehovahs Witness doctor would not be permitted to refuse to give blood transfu
School: UNC
Course: Electronics
Bohlen Peter Bohlen Ben Sammons English 101 Sept. 18, 2006 Diversity through Writing Styles 1 Dear Publisher, It has come to my attention that the two magazines In Touch and OK! have recently been criticized for publishing similar articles that cover the
School: UNC
Course: Electronics
Bohlen Peter Bohlen Ben Sammons English 101 Sept. 18, 2006 Diversity through Writing Styles 1 Dear Publisher, It has come to my attention that the two magazines In Touch and OK! have recently been criticized for publishing similar articles that cover the
School: UNC
Course: PHYSICS MECHANICS
Dynamics How the action (force) change the motion (kinematics) of the object Newtonian dynamics: Newtons laws of motion determine the dynamics of a object. Force, mass, and momentum Force F : the action on the body that changes its velocity. Force is a v
School: UNC
Course: PHYSICS MECHANICS
How skateboard jump http:/www.youtube.com/watch?v=bUsgp6Z7AQ&feature=player_embedded Lecture 13 Last lecture: Conservation of energy Today: Center of mass Newtons 2nd law for a system of particles Momentum Next lecture: Collision and impulse Center of Ma
School: UNC
Course: PHYSICS MECHANICS
Lecture 1 Today: (Chap. 1) Measurements and units Time, length, mass, etc Orders of magnitude Position, velocity, and accelerations Next lecture: (2-1 to 2-7) Motion along straight line Free falling body The nature of physics Physics is a science in whic
School: UNC
Course: PHYSICS MECHANICS
Lecture 8 Last lecture: Mass, momentum, and force Newtons three laws of motion Today: Inertial/Non-inertial frames Analyzing forces in action Applying Newtons laws Next lecture More on Newtons law Force, mass, and momentum Force F : the action on the bod
School: UNC
Course: PHYSICS MECHANICS
Lecture 1 Today: (Chap. 1) Measurements and units Time, length, mass, etc Orders of magnitude Next lecture: (2-1 to 2-7) Motion along straight line Kinematics: position, velocity, and accelerations SI units of measurements Time: second (s) Atomic standar
School: UNC
Course: PHYSICS MECHANICS
Lecture 31, April 7, 2010 Last lecture: Gravitation Today: Static Fluid: pressure Fluid in motion Next lecture: (Chapter 14) Static Fluid Fluid in motion Fluids A gaseous or liquid fluid Can only sustain forces directed to its surface Flows to fill its
School: UNC
Course: PHYSICS MECHANICS
5/2/08, 12:00-3:00pm PHYS 116 Sec. 003, Lu Final Exam Your Name _PID _Row # _ All your work should be shown on these sheets. If you need more space, work on the back of the pages and indicate where the extra work can be found. You are expected to sign the
School: UNC
Shaleen Shukla - Physics 12 Spring 2009 Copy of Practice Exam #1 1 Going to Innity /res/prenhall/walker/Physics_2E/Chap20/jsw-prob2028.problem 1) E 7.99 [7.8321049014542,8.15178265253396] Sig 0 - 15 2) A 1.58 [1.55004156021701,1.61330856267485] Sig 0 - 15
School: UNC
Physics 25 Lab Exam SAMPLE Name: _ Student ID# _ Date: _ Time: _ Lab Instructor: _ Instructions: Work individually to complete each exercise to the best of your ability, show all your work, and clearly explain your answers in the spaces provided or on the
School: UNC
1. 4.0 J of work are performed in stretching a spring with a spring constant of 2500N/m. How much is the spring stretched? a. 3.2 cm b. 3.2 m c. 0.3 cm d. 5.7 m e. 5.7 cm 2. A 20-N horizontal force pushes an object along a rough floor so that the obj
School: UNC
The Absolutely Perfect Study Guide CHAPTER ONE 1. You're riding on a playground swing. You're traveling back and forth once every few seconds. At what point(s) in your motion is your velocity zero? a. Answer: At the end or peak of each swing. Why: As the
School: UNC
School: UNC
NAME: _ Physics 100 Fall 2012 Homework 3 Answer Sheet: Due 9/14 in class: Show your work on these sheets for all sections 1. Chapter 2, Case 2 (See textbooks Student Companion Site) Do not write in boxes below. They are for grades. a. Explain The door nee
School: UNC
NAME: _ Physics 100 Fall 2011 Homework 2 Answer Sheet: Due 9/9 in class: Show Your Work for All Problems To access How Things Work cases, go to: <http:/bcs.wiley.com/he-bcs/Books?action=index&bcsId=4824&itemId=0470223995> 1. Chapter 1, Case 1. Youre ridin
School: UNC
School: UNC
School: UNC
School: UNC
School: UNC
Equilibrium of Forces Acting at a Point Phys 104LSection 435 Lin Letian September 13, 2006 Josh Kahn Lab partner: Shanley Morgan UNC Honor Pledge: _ Abstract In this experiment, we investigated the hypothesis that forces exhibit additive properties and al
School: UNC
Part 1 Angle of Incidence (degrees) Refraction 1 0 10 20 30 40 50 60 70 80 Refraction 2 0 5 12 19 25 30 35 39 41 0 8 15 21 22 32 37 40 42
School: UNC
Part 1: Mass of hollow ring = .1002 kg +/- 0.0001 kg Ring was 108.05mm +/- 0.01 mm in diameter from inside to inside Height from bottom of ramp to tray = H = 0.765 +/- 0.001 m h (meters) of h (meters) (meters) x3 (meters) x1 x2 (meters) x4(meters) Mean x
School: UNC
h 4.00E15 6.408E034 stoppingpotential(1st) stoppingpotential(2nd) 0.775 0.764 0.897 0.886 1.495 1.479 1.705 1.685 1.961 1.981 e Um Uh b Fo m h 1.3371 2.1420342E019 334275000000000 3.00E15 4.806E034 Ub U Ufo e Um Uh b Fo 0.5613 8.992026E020 187100000000000
School: UNC
Ohms Law and Electrical Currents Suneet Bhansali February 3, 2010 TA: Ryan Partners: Caroline, Logan, Jennie, Trey Phys 105 Section 413 Pledge Abstract: In this experiment, we measure the current-voltage qualities of a resister in order to determine if th
School: UNC
Reflection, Refraction and Polarization Lab Suneet Bhansali February 24, 2010 TA: Ryan Partners: Carolina, Logan, and Trey Phys 105 Section 413 Pledge _ Abstract: In this lab we investigated the refraction and reflection by experimentally determining the
School: UNC
Course: QUANTUM MECHANICS
C. Wassgren Chapter 12: Gas Dynamics 564 Last Updated: 14 Aug 2010
School: UNC
Course: QUANTUM MECHANICS
(Figure from: Liepmann, H.W. and Roshko, A., Elements of Gasdynamics, Wiley.) C. Wassgren Chapter 12: Gas Dynamics 547 Last Updated: 14 Aug 2010
School: UNC
Course: QUANTUM MECHANICS
3. Over-speeding the diffuser is often impractical. For example, consider a diffuser designed to operate at a Mach number of 1.7 (Ai/A* = Ai/At = 1.338). The critical Mach number for swallowing the shock will be: Ma,crit > 1 Note: A2* = At 1 2 1 1 Ma 2 2
School: UNC
Course: QUANTUM MECHANICS
As the upstream Mach number increases, the sonic area approaches the throat area, i.e. A* At, and the shock moves closer to the inlet (the shock gets weaker and less flow needs to be diverted around the diffuser). Eventually well reach design conditions b
School: UNC
Course: QUANTUM MECHANICS
Supersonic Diffuser Design Another application where the efficient deceleration of a supersonic flow is of interest is a supersonic diffuser at the inlet of aircraft jet engines. The flow entering a jet engine typically needs to be subsonic in order to av
School: UNC
Course: QUANTUM MECHANICS
Example: Consider a supersonic wind tunnel starting as shown in the figure below. The upstream nozzle throat area is 1.25 ft2, and the test section design Mach number is 2.50. As the tunnel starts, a normal shock stands in the divergence of the nozzle whe
School: UNC
Equilibrium of Forces Acting at a Point Phys 104LSection 435 Lin Letian September 13, 2006 Josh Kahn Lab partner: Shanley Morgan UNC Honor Pledge: _ Abstract In this experiment, we investigated the hypothesis that forces exhibit additive properties and al
School: UNC
NAME: _ Physics 100 Fall 2012 Homework 3 Answer Sheet: Due 9/14 in class: Show your work on these sheets for all sections 1. Chapter 2, Case 2 (See textbooks Student Companion Site) Do not write in boxes below. They are for grades. a. Explain The door nee
School: UNC
Part 1 Angle of Incidence (degrees) Refraction 1 0 10 20 30 40 50 60 70 80 Refraction 2 0 5 12 19 25 30 35 39 41 0 8 15 21 22 32 37 40 42
School: UNC
Part 1: Mass of hollow ring = .1002 kg +/- 0.0001 kg Ring was 108.05mm +/- 0.01 mm in diameter from inside to inside Height from bottom of ramp to tray = H = 0.765 +/- 0.001 m h (meters) of h (meters) (meters) x3 (meters) x1 x2 (meters) x4(meters) Mean x
School: UNC
h 4.00E15 6.408E034 stoppingpotential(1st) stoppingpotential(2nd) 0.775 0.764 0.897 0.886 1.495 1.479 1.705 1.685 1.961 1.981 e Um Uh b Fo m h 1.3371 2.1420342E019 334275000000000 3.00E15 4.806E034 Ub U Ufo e Um Uh b Fo 0.5613 8.992026E020 187100000000000
School: UNC
Ohms Law and Electrical Currents Suneet Bhansali February 3, 2010 TA: Ryan Partners: Caroline, Logan, Jennie, Trey Phys 105 Section 413 Pledge Abstract: In this experiment, we measure the current-voltage qualities of a resister in order to determine if th
School: UNC
Stephen Harper Tuesday, November 15, 2005 Prelab questions: Rydberg Constant 1. The helium tube is used instead of just the hydrogen tube because the helium spectrum has 7 easily distinguished colors to hydrogens 3. 2. Taking measurements on both the left
School: UNC
Course: PHYSICS MECHANICS
5/2/08, 12:00-3:00pm PHYS 116 Sec. 003, Lu Final Exam Your Name _PID _Row # _ All your work should be shown on these sheets. If you need more space, work on the back of the pages and indicate where the extra work can be found. You are expected to sign the
School: UNC
Reflection, Refraction and Polarization Lab Suneet Bhansali February 24, 2010 TA: Ryan Partners: Carolina, Logan, and Trey Phys 105 Section 413 Pledge _ Abstract: In this lab we investigated the refraction and reflection by experimentally determining the
School: UNC
TABLE 1 Helium Color Deep Blue Blue Blue-Green Green Yellow Red Red TABLE 2 Hydrogen Color First order Blue (m=1) Blue-Green (m=1) Red (m=1) Second Order Blue (m=2) Blue-Green (m=2) Red (m=2) Wavelength X R (meters) X L (meters) Average D 4.471E-07 0.130
School: UNC
Reflection, Refraction & Polarization Pre-lab 1. Which one quantity is being measured by several different methods in this experiment? The index of refraction will be measured by several different methods in this experiment. 2. How will you determine whic
School: UNC
NAME: _ Physics 100 Fall 2011 Homework 2 Answer Sheet: Due 9/9 in class: Show Your Work for All Problems To access How Things Work cases, go to: <http:/bcs.wiley.com/he-bcs/Books?action=index&bcsId=4824&itemId=0470223995> 1. Chapter 1, Case 1. Youre ridin
School: UNC
Section 450 SUNEET BHANSALI Lab 2: Motion in One Dimension 13 February 2009 Partners: Liz Goodman and Wei Ji Luke Osborne Honor Pledge Data and Results: Part 1: t2 vs. Position Collected Data X (m) T1(s) T2(s) T3(s) T4(s) .4 1.26 1.31 1.32 1.32 Average 1.
School: UNC
Thin Lenses and Lens Systems Section 422, B.J. Anderson Stephen Harper Partner: Sarah Bass Tuesday, November 8, 2005 The work presented in this report is my own, and the data were obtained by my lab partners and myself during the lab period. Abstract: In
School: UNC
Work and Energy Phys 104 444 and TA: Pengyi Zhang February 21, 2008 Sheryl Payne Partner: Ben Wright The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period. _ Abstract The purpose o
School: UNC
Shaleen Shukla - Physics 12 Spring 2009 Copy of Practice Exam #1 1 Going to Innity /res/prenhall/walker/Physics_2E/Chap20/jsw-prob2028.problem 1) E 7.99 [7.8321049014542,8.15178265253396] Sig 0 - 15 2) A 1.58 [1.55004156021701,1.61330856267485] Sig 0 - 15
School: UNC
Abstract (10 pts.) Provide an abstract for this experiment here. The purpose of this experiment was to measure the e/m ratio of an electron, the ratio of an electron's charge to its mass, and compare it to the currently accepted value of e/m. A DC power s
School: UNC
Abstract In this experiment, we investigated the hypothesis that resistors satisfy Ohms law. In part one, an ohmmeter was used to measure the resistance of three resistors separately, in series, and in parallel. In the second part of the experiment, a cur
School: UNC
The Electric Field and Potential Section 422, B.J. Anderson Stephen Harper Partners: Tuesday, September 13, 2005 . The work presented in this report is my own, and the data were obtained by my lab partners and myself during the lab period. Abstract: The o
School: UNC
Lab 3 Projectile Motion Section 442 Arada Malekian Thursday, February 17, 2011 Alec Rubenstein Partner: Andres Novoa Pledge: Abstract: The goal of this experiment is to study the motion of a freely-falling projectile launched at both a zero launch angle a
School: UNC
Measuring the Rydberg Constant Section 422, B.J. Anderson Stephen Harper Partner: Sarah Bass Tuesday, November 29, 2005 The work presented in this report is my own, and the data were obtained by my lab partners and myself during the lab period. Abstract:
School: UNC
Empirical Analysis of a Ring Pendulum Part 1: Table I m1= 99.4 g m2= 104.8 g m3= 35.0 g Ring m1 m2 m3 T1 T2 T3 T4 T5 Average T 0.259 0.258 0.260 0.258 0.259 0.260 0.259 0.259 0.258 0.258 0.261 0.254 0.254 0.254 0.254 0.259 0.259 0.255 standard error of T
School: UNC
Motion in One Dimension Physics 104 444 and TA: Pengyi Zhang February 7, 2008 Sheryl Payne Partner: Ben Wright The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period. _ Abstract The
School: UNC
1. What possible values of n might we expect for this experiment? What kind of relationship between the rings diameter and period would correspond to each of these values (linear, quadratic, etc.)? n is the constant in the equation T = A*d^n that relates
School: UNC
Physics 25 Lab Exam SAMPLE Name: _ Student ID# _ Date: _ Time: _ Lab Instructor: _ Instructions: Work individually to complete each exercise to the best of your ability, show all your work, and clearly explain your answers in the spaces provided or on the
School: UNC
Reflection, Refraction and Polarization Part 1. Snell's Law and Index of Refraction Angle of Incidence Refraction1 Refraction2 Sin(Incidence Angle) Sin(Refracted Angle 1) Sin(Refracted Angle 2) 0 0 0 0 0 0 10 6 7 0.1736481777 0.1045284633 0.1218693434 20
School: UNC
Electric Fields and Potentials Physics 105 Lab Section 432: Daniel Keever January 24, 2007 Josh Kahn Lab Partner: Carl Anderson "I pledge that I have neither given nor received any unauthorized assistance on this assignment. Signed:_" Abstract In this exp
School: UNC
Reflection, Refraction Lab Abstract The purpose of this lab was to investigate the phenomenon of refracted and reflected light by experimentally determining the index of refraction for an acrylic substance. In each part of the experiment, a HeNe laser bea
School: UNC
Work and Energy Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga Date Lab Performed: 2/14/12 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract In this lab, the work-kinet
School: UNC
PHYS105. EXP2: Ohms Law and Electric Circuits Prelab Questions: 1. How can you tell from an I-V curve if a device is ohmic? A device is ohmic if it satisfies Ohms law: V = IR. An IV curve can indicate if this relationship is valid by displaying I vs. V. I
School: UNC
Alec Rubenstein March 16, 2011 Pre-Lab 6: Pre-Lab 6: Questions 1. The objective of this lab is to experiment with translational kinetic energy and rotational kinetic energy to calculate the geometric factor k for a rotating object. We are also trying to c
School: UNC
Course: PHYSICS INTRO 104
Lab 6: Energy of a Rolling Object Elliot Blau Lab Partner: Taylor Gammons 3/26/2008 TA: Zheng Ren Section 434, 4:00-5:30PM Pledge: I pledge that no unauthorized assistance has been given or received in the completion of the work presented in this re
School: UNC
Rotational Inertia Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga, Katherine Heyde Date Lab Performed: 3/13/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract The p
School: UNC
Rectilinear Motion with Constant Acceleration Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga Date Lab Performed: 1/24/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abst
School: UNC
Equilibrium of Forces Acting at a Point Physics 104 444 and TA: Pengyi Zhang January 24, 2008 Sheryl Payne Partner: Ben Wright The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period.
School: UNC
Uniform Circular Motion Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga, Katherine Heyde Date Lab Performed: 2/21/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract
School: UNC
Projectile Motion Phys 104 444 and TA: Pengyi Zhang February 14, 2008 Sheryl Payne Partner: Ben Wright The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period. _ Abstract The purpose
School: UNC
Alec Rubenstein Lab 7 Pre-Lab Empirical Analysis of a Ring Pendulum 2, 4, 6, 8: Part 2 of 5 2. I do not think that varying the mass will affect the period of oscillation. Because the pendulum is based off the force of gravity and all objects fall at the s
School: UNC
1. 4.0 J of work are performed in stretching a spring with a spring constant of 2500N/m. How much is the spring stretched? a. 3.2 cm b. 3.2 m c. 0.3 cm d. 5.7 m e. 5.7 cm 2. A 20-N horizontal force pushes an object along a rough floor so that the obj
School: UNC
Uniform Circular Motion Phys 104 444 and TA: Pengyi Zhang February 28, 2008 Sheryl Payne Partner: Ben Wright The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period. Sheryl Payne Ab
School: UNC
1. The Earths magnetic field has a strength of about 0.5 gauss. What magnetic field strength must be produced by the coils so that the Earths magnetic field has less than a 1% effect on this experiment? How much current through the coils is needed to prod
School: UNC
The Absolutely Perfect Study Guide CHAPTER ONE 1. You're riding on a playground swing. You're traveling back and forth once every few seconds. At what point(s) in your motion is your velocity zero? a. Answer: At the end or peak of each swing. Why: As the
School: UNC
Course: QUANTUM MECHANICS
C. Wassgren Chapter 12: Gas Dynamics 564 Last Updated: 14 Aug 2010
School: UNC
Course: QUANTUM MECHANICS
(Figure from: Liepmann, H.W. and Roshko, A., Elements of Gasdynamics, Wiley.) C. Wassgren Chapter 12: Gas Dynamics 547 Last Updated: 14 Aug 2010
School: UNC
Course: QUANTUM MECHANICS
3. Over-speeding the diffuser is often impractical. For example, consider a diffuser designed to operate at a Mach number of 1.7 (Ai/A* = Ai/At = 1.338). The critical Mach number for swallowing the shock will be: Ma,crit > 1 Note: A2* = At 1 2 1 1 Ma 2 2
School: UNC
Course: QUANTUM MECHANICS
As the upstream Mach number increases, the sonic area approaches the throat area, i.e. A* At, and the shock moves closer to the inlet (the shock gets weaker and less flow needs to be diverted around the diffuser). Eventually well reach design conditions b
School: UNC
Course: QUANTUM MECHANICS
Supersonic Diffuser Design Another application where the efficient deceleration of a supersonic flow is of interest is a supersonic diffuser at the inlet of aircraft jet engines. The flow entering a jet engine typically needs to be subsonic in order to av
School: UNC
Course: QUANTUM MECHANICS
Example: Consider a supersonic wind tunnel starting as shown in the figure below. The upstream nozzle throat area is 1.25 ft2, and the test section design Mach number is 2.50. As the tunnel starts, a normal shock stands in the divergence of the nozzle whe
School: UNC
Course: QUANTUM MECHANICS
5. In real nozzles flows, the flow will typically separate from the nozzle walls as a result of the large adverse pressure gradient occurring across a shock wave. Interaction of the shock with the separated boundary layer results in a more gradual pressur
School: UNC
Course: QUANTUM MECHANICS
Once the wind tunnel is running and weve decreased the 2nd throat area, we should try to minimize the stagnation pressure loss through the shock wave in the 2nd diverging section (and, hence, increase the tunnel efficiency). To do this we increase the bac
School: UNC
Course: QUANTUM MECHANICS
and we decrease the back pressure further, then the shock will be swallowed by the 2nd throat and the flow within the test section will, at last, be supersonic (shown below). Mat2 > 1 Mat1 = 1 p01 MaTS > 1 Ma < 1 Ma < 1 pback At1 = A1* p/p01 1 p*/p01 1st
School: UNC
Course: QUANTUM MECHANICS
Now consider what happens if we make the 2nd throat just a little bit larger than the 1st throat. As we decrease the back pressure we will reach a case where the flow in the 1st throat becomes choked and a shock wave forms in the diverging section of the
School: UNC
Course: QUANTUM MECHANICS
Continuous-Duty Wind Tunnels Continuous duty wind tunnels utilize a compressor to produce the driving pressure gradient for the flow. In order to minimize the required compressor power, the wind tunnel should operate as efficiently as possible, i.e. as cl
School: UNC
Course: QUANTUM MECHANICS
Image from: http:/history.nasa.gov/SP-440/ch5-6.htm Notes: 1. There is a fixed amount of time for which the device will operate at the design test section Mach number, MaTS, since the tank mass will decrease with time. To extend the duration of the test,
School: UNC
Course: QUANTUM MECHANICS
Again, in order to minimize the compressor power requirements, the losses in the system should be minimized. The ideal case (shown below) is to have an isentropic deceleration from supersonic to subsonic speeds. Mat2 = 1 Mat1 = 1 MaTS > 1 p01 Ma < 1 Ma <
School: UNC
Course: QUANTUM MECHANICS
Example: A blowdown wind tunnel exhausting to atmospheric pressure (14.7 psia) is to be designed. The test section cross-sectional area is specified to be 1 ft2, and the desired test section Mach number is 2.0. The supply tank can be pressurized to 150 ps
School: UNC
Course: QUANTUM MECHANICS
Supersonic Wind Tunnel Design There are three common designs for supersonic wind tunnels: 1. high-pressure gas storage tanks (and/or vacuum tanks) for blowdown wind tunnels, 2. a compressor and diffuser for continuous-duty wind tunnels, and 3. shock tubes
School: UNC
Course: QUANTUM MECHANICS
Example: A converging-diverging nozzle, with an exit to throat area ratio, Ae/At, of 1.633, is designed to operate with atmospheric pressure at the exit plane, pe = patm. a. Determine the range(s) of stagnation pressures for which the nozzle will be free
School: UNC
Course: QUANTUM MECHANICS
A converging-diverging nozzle with pressure taps along the length of the device. The flow is from left to right. The pressure ratio as a function of the axial distance in the CD nozzle for various back pressures. Note the gradual pressure rise due to the
School: UNC
Course: QUANTUM MECHANICS
4. The location of a shock wave for a back pressure in the range corresponding to case 3 and case 5 can be determined through iteration. a. Assume a location for the shock wave (e.g. pick a value for A/At since the geometry is known). b. Determine the Mac
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Space-time displacement Space and time form the space-time displacement 4-vector X = (ct, x, y,z) The coordinates of this 4-vector X transform following the Lorentzs transformations: & x " = #x $ #%ct (1) ' (ct " = #ct $ #%x ! ! ! ! ! ! v with " = . c The
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V Doppler effect: There are two contributions to the Doppler effect: one due to the time dilation and the one due to the movement of the source parallel to the line of sight. The first effect will always be present, not matter how the source moves with re
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Lecture 7 Notes hapter 16: Temperature and Heat Temperature scales: T(Kelvin) = T(Celsius) + 273.15 T(Fahrenheit) = (9/5)T(Celsius) + 32 Heat is a transfer of energy due to a temperature difference. A calorie is the amount of heat needed to raise the temp
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Lecture 7 Notes hapter 16: Temperature and Heat Temperature scales: T(Kelvin) = T(Celsius) + 273.15 T(Fahrenheit) = (9/5)T(Celsius) + 32 Heat is a transfer of energy due to a temperature difference. A calorie is the amount of heat needed to raise the temp
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Lecture 2 Notes Chapter 15: Fluids Density = Mass/Volume Pressure = Force/Area 1 Pa = 1 N/m^2 P = Po + Dgh Gauge pressure is the pressure above atmospheric pressure (i.e. the measurement you would expect to read from a pressure gauge). Pascal's principle:
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Course: General Physics I
Work & Energy Review Questions 1. Is it possible to do work on an object that remains at rest? 1)Yes 2) No 2. A box is being pulled across a rough floor at a constant speed. What can you say about the work done by friction? 1) friction does no work at all
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Course: Electronics
The 1972 Biological and Toxin Weapons Convention extended the ban to almost all production, storage and transport. However, the Soviet Union continued research and production of offensive biological weapons in a program called biopreparat, despite having
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Course: Electronics
Paper Topics Phil 165 Spring 08 Paper Due: 1st April 08 3) For a wide range of cases we do not recognize a physicians right to refuse treatment on moral grounds. For example, a Jehovahs Witness doctor would not be permitted to refuse to give blood transfu
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Course: Electronics
Bohlen Peter Bohlen Ben Sammons English 101 Sept. 18, 2006 Diversity through Writing Styles 1 Dear Publisher, It has come to my attention that the two magazines In Touch and OK! have recently been criticized for publishing similar articles that cover the
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Course: Electronics
Bohlen Peter Bohlen Ben Sammons English 101 Sept. 18, 2006 Diversity through Writing Styles 1 Dear Publisher, It has come to my attention that the two magazines In Touch and OK! have recently been criticized for publishing similar articles that cover the
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Course: PHYSICS MECHANICS
Dynamics How the action (force) change the motion (kinematics) of the object Newtonian dynamics: Newtons laws of motion determine the dynamics of a object. Force, mass, and momentum Force F : the action on the body that changes its velocity. Force is a v
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Course: PHYSICS MECHANICS
How skateboard jump http:/www.youtube.com/watch?v=bUsgp6Z7AQ&feature=player_embedded Lecture 13 Last lecture: Conservation of energy Today: Center of mass Newtons 2nd law for a system of particles Momentum Next lecture: Collision and impulse Center of Ma
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Course: PHYSICS MECHANICS
Lecture 1 Today: (Chap. 1) Measurements and units Time, length, mass, etc Orders of magnitude Position, velocity, and accelerations Next lecture: (2-1 to 2-7) Motion along straight line Free falling body The nature of physics Physics is a science in whic
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Course: PHYSICS MECHANICS
Lecture 8 Last lecture: Mass, momentum, and force Newtons three laws of motion Today: Inertial/Non-inertial frames Analyzing forces in action Applying Newtons laws Next lecture More on Newtons law Force, mass, and momentum Force F : the action on the bod
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Course: PHYSICS MECHANICS
Lecture 1 Today: (Chap. 1) Measurements and units Time, length, mass, etc Orders of magnitude Next lecture: (2-1 to 2-7) Motion along straight line Kinematics: position, velocity, and accelerations SI units of measurements Time: second (s) Atomic standar
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Course: PHYSICS MECHANICS
Lecture 31, April 7, 2010 Last lecture: Gravitation Today: Static Fluid: pressure Fluid in motion Next lecture: (Chapter 14) Static Fluid Fluid in motion Fluids A gaseous or liquid fluid Can only sustain forces directed to its surface Flows to fill its
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Course: PHYSICS MECHANICS
Feb. 20, 2010 Last lecture: Conservation of energy Today: Center of mass Newtons 2nd law for a system of particles Next lecture: Momentum Collision and impulse Hour exam 2: Monday March 1, 2010, cover chapter 5-8. An elevator is rising at constant speed.
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Course: PHYSICS MECHANICS
5/2/08, 12:00-3:00pm PHYS 116 Sec. 003, Lu Final Exam Your Name _PID _Row # _ All your work should be shown on these sheets. If you need more space, work on the back of the pages and indicate where the extra work can be found. You are expected to sign the
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Shaleen Shukla - Physics 12 Spring 2009 Copy of Practice Exam #1 1 Going to Innity /res/prenhall/walker/Physics_2E/Chap20/jsw-prob2028.problem 1) E 7.99 [7.8321049014542,8.15178265253396] Sig 0 - 15 2) A 1.58 [1.55004156021701,1.61330856267485] Sig 0 - 15
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Physics 25 Lab Exam SAMPLE Name: _ Student ID# _ Date: _ Time: _ Lab Instructor: _ Instructions: Work individually to complete each exercise to the best of your ability, show all your work, and clearly explain your answers in the spaces provided or on the
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1. 4.0 J of work are performed in stretching a spring with a spring constant of 2500N/m. How much is the spring stretched? a. 3.2 cm b. 3.2 m c. 0.3 cm d. 5.7 m e. 5.7 cm 2. A 20-N horizontal force pushes an object along a rough floor so that the obj
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The Absolutely Perfect Study Guide CHAPTER ONE 1. You're riding on a playground swing. You're traveling back and forth once every few seconds. At what point(s) in your motion is your velocity zero? a. Answer: At the end or peak of each swing. Why: As the
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Skip Navigation Single Sign-On Onyen -or- UNC Guest ID: Forgot Username: Onyen | UNC Guest ID Password: Forgot Password: Onyen | UNC Guest ID Sign in Learn more about:Onyen | UNC Guest ID IMPORTANT: To protect your personal information, you must close eve
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Course: PHYSICS MECHANICS
Measurement Uncertainty Quiz Caution: This quiz is not a standardized diagnostic instrument and has not been tested for reliability and validity. A similar but more complete diagnostic test is being developed, but the subject of measurement uncertainty do
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Physics Final Exam Cases 1. Case 1.2 a. You have 10 m to fall; after 1 second you'll be at 4.9 m and after 2 seconds you'll be at 19.6 m. At a constant speed it would take about 1 and 1/3 seconds, but since you are covering distance more and more quickly
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Final Exam Cases 1. Diving boards and platforms offer a nearly ideal opportunity in which to experience the various laws of motion. When you jump off the high diving board, you are a falling object and, if you can keep your presence of mind as you fall, y
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Phys24-001, Fall 2001 Exam 3 Name _ PID: _ Sequence Number: 101 Honor Pledge and signature: I have neither given nor received unauthorized aid on this examination. _ Instructions: This exam is closed book, closed notes. However, you may use a calculator.
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Phys24-001, Spring 2003 Exam 2 Name _ PID: _ Sequence Number: 102 Honor Pledge and signature: I have neither given nor received unauthorized aid on this examination. _ Instructions: This exam is closed book, closed notes. However, you may use a calculator
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Phys24-001, Spring 2003, Exam 1 Student Name: _ Seat Number: _ Sequence Number: 101 Honor Pledge and signature: I have neither given nor received unauthorized aid on this examination. _ Instructions: This exam is closed book, closed notes. However, you ma
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Measurement Uncertainty Quiz 1) Rank the following measurements in order from the most precise to the least precise based on the relative uncertainty implied by each value: 9.7 m, 13 m, 1.45 m, 2.1 m, 0.005 m (A > B means A is more precise than B, and A =
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Physics study guide: Exam #2 Chapter 5 Cases: 1. Alargeshipfloatsmotionlessatthesurfaceofastillsea, supportedbythebuoyantforce.Itsaveragedensity, includingtheairitcontains,islessthanthatofthe seawater. Whatisthenetforce a. Because the ship not acceleratin
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Physics 24 Lab Exam SAMPLE (with answers) Name: _ Student ID# _ Date: _ Time: _ Lab Instructor: _ Instructions: Work individually to complete each exercise to the best of your ability, show all your work, and clearly explain your answers in the spaces pro
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Physics 25 Lab Exam SAMPLE (with answers) Name: _ Student ID# _ Date: _ Time: _ Lab Instructor: _ Instructions: Work individually to complete each exercise to the best of your ability, show all your work, and clearly explain your answers in the spaces pro
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Shaleen Shukla - Physics 105 Spring 2009 12 Copy of Practice Exam #1 1 1 pt A charge of 3.20 C is held xed at the origin. A second charge of 3.20 C is released from rest at the position (1.05 m, 0.552 m). If the mass of the second charge is 2.43 g, what i
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Course: PHYSICS MECHANICS
4/7/08, 12:00-12:50pm PHYS 116 Sec. 003, Lu Hour Exam #3 Your Name _PID _Row # _ All your work should be shown on these sheets. If you need more space, work on the back of the pages and indicate where the extra work can be found. You are expected to sign
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Course: PHYSICS MECHANICS
February 1, 2008 Physics 116 Section 003, Lu Hour Exam #1 Your Name _PID _Seat # _ All your work should be shown on these sheets. If you need more space, work on the back of the pages and indicate where the extra work can be found. You are expected to sig
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Course: Electronics
UNC: APPL 480 / BMME 580 NCSU: BME 495I Microcontroller applications I Teacher: Richard Goldberg Dept of Biomedical Engineering Which of the devices on the following slides have a microcontroller? Goals In this class, you will develop several biomedical
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Phys24-001, Spring 2003 Exam 3 Name _ PID: _ Sequence Number: 101 Honor Pledge and signature: I have neither given nor received unauthorized aid on this examination. _ Instructions: This exam is closed book, closed notes. However, you may use a calc
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Phys24-001, Spring 2003, Exam 1 Student Name: _ Seat Number: _ Sequence Number: 101 Honor Pledge and signature: I have neither given nor received unauthorized aid on this examination. _ Instructions: This exam is closed book, closed notes. However, y
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1. How large a force is required to accelerate a 1600 kg car from rest to a speed of 25 m/s in a distance of 200 m? Answer: 2500 N 2. A horizontal force of 40 N pushes an object of mass 5.0 kg up an inclined plane through a distance of 1.6 m measur
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Physics 104, Third Exam 1. A space vehicle is orbiting Earth in a circular orbit with a radius of 10,300,000 m. What is the minimum increase in speed that is needed for the vehicle to escape Earths gravitational field? The mass of Earth is 5.97x102
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NAME: _ Physics 100 Fall 2012 Homework 3 Answer Sheet: Due 9/14 in class: Show your work on these sheets for all sections 1. Chapter 2, Case 2 (See textbooks Student Companion Site) Do not write in boxes below. They are for grades. a. Explain The door nee
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NAME: _ Physics 100 Fall 2011 Homework 2 Answer Sheet: Due 9/9 in class: Show Your Work for All Problems To access How Things Work cases, go to: <http:/bcs.wiley.com/he-bcs/Books?action=index&bcsId=4824&itemId=0470223995> 1. Chapter 1, Case 1. Youre ridin
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Physics 21 Fall, 2012 Solution to HW-17 29-7 The current in the long, straight wire AB shown in the gure is upward and is increasing steadily at a rate di/dt. (a,b) At an instant when the current is i, what are the magnitude and direction of the eld B at
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Physics 21 Fall, 2012 Solution to HW-16 28-56 The current in the windings of a toroidal solenoid is 2.400 A. There are N = 500 turns and the mean radius is r = 25.00 cm. The toroidal solenoid is lled with a magnetic material. The magnetic eld inside the w
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Physics 21 Fall, 2012 Solution to HW-18 30-18 An air-lled toroidal solenoid has 320 turns of wire, a mean radius of R = 13.0 cm, and a cross-sectional area of A = 4.60 cm2 . (a) If the current is 5.9 A, calculate the magnetic eld in the solenoid. (b) Calc
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Physics 21 Fall, 2012 Solution to HW-15 28-37 Calculate the magnitude of the magnetic eld at point P of the gure in terms of R, I1 , and I2 . What does your expression give when I1 = I2 ? direction of the positive z axis, we can write the total B at P as
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Physics 21 Fall, 2012 Solution to HW-7 evaluating the line integral of the electric eld. We will evaluate f Vf Vi = 24-12 A cylindrical capacitor has an inner conductor with a radius of 1.8 mm and an outer conductor with a radius of 3.7 mm. The two condu
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Physics 21 Fall, 2012 Solution to HW-14 22-31 An innitely long cylindrical conductor has radius R and uniform surface charge density . (a) In terms of R and , what is the charge per unit length for the cylinder? (b) In terms of , what is the magnitude of
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Physics 21 Fall, 2012 Solution to HW-10 27-4 A particle with mass m = 1.81103 kg and a charge of q = 1.22 108 C has, at a given instant, a velocity v = (3.00 104 m/s) (a) What is the magnitude of the j. particles acceleration produced by a uniform magneti
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Physics 21 Fall, 2012 Solution to HW-13 28-14 Two parallel wires are 5.00 cm apart and carry currents in opposite directions, as shown in the gure. Find the magnitude and direction of the magnetic eld at point P due to two 1.50-mm segments of wire that ar
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Physics 21 Fall, 2012 Solution to HW-12 27-40 A straight, vertical wire carries a current of I = 1.19 A downward in a region between the poles of a large superconducting electromagnet, where the magnetic eld B has a magnitude of B = 0.591 T and is horizon
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Physics 21 Fall, 2012 Solution to HW-9 26-32 In the circuit shown in the gure both batteries have insignicant internal resistance and the idealized ammeter reads 1.60 A in the direction shown. (a) Find the emf of the battery. (b) Is the polarity shown cor
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Course: PHYSICS MECHANICS
13.3 13.4 13.14 13.17 13.23 13.27 13.29 13.33 13.43 13.47 13.54
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Course: PHYSICS MECHANICS
Chapter 12 Homework 5, 8, 12, 18, 20, 30, 32, 53, 58*, 60, 64* P5. Calculate the mass needed in order to suspend the leg shown in Fig.12-53. Assume the leg (with cast) has a mass of 15.0 kg, and its CG is 35.0 cm from The hip joint; the sling is 80.5 cm f
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NAME: _ Physics 100 Fa2012 HW Assignment #7 Answer Sheet: Due 10/22 in class: Show Your Work for All Problems 1. Chapter 8 Case 3 a. Circle One , Then Explain: Salt and Water Salt Water b. c. d. e. NAME: _ Physics 100 Fa2012 2. A dehumidifier removes mois
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NAME: Physics 100 Fa2012 HW Assignment #8 Answer Sheet: Due 11/2 in class: Show Your Work for All Problems 1. Chapter 9 Case 4 a. Exerting a minimal force on the jumper is important, and this can be done best with a stretchy cord. This slows the fall over
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NAME: _Physics 100 Fall 2012 Homework 1 Answer Sheet Due 8/31 in class: Show Your Work for All Problems 1. HTW 1E6 (HTW1E6 means How Things Work Textbook Chapter 1 Exercise 6) The car come to a sudden stop because something pushes it backwards. Because th
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NAME: _ Physics 100 Fall 2012 Homework 2 Answer Sheet: Due 9/7 in class: Show Your Work for All Problems To access How Things Work cases, go to: <http:/bcs.wiley.com/he-bcs/Books?action=index&bcsId=4824&itemId=0470223995> 1. Chapter 1, Case 1. Youre ridin
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NAME: _ Physics 100, Fall 2012 Homework 4 Answer Sheet: Due 9/21 in class: Show Your Work for All Problems 1. Chapter 3 Case 1. (See cases on HTW Student Companion Site) a. Circle one and Explain! Correct weight more less When you step on the scale, as so
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October 5, 2012 NAME: _Physics 100 Fall 2012 H omework 5 Answer Sheet: D ue 1 0/5 i n class: Show Your Work for All Problems 1. Chapter 5, case 1 For this case, replace the words average density with weight a. Net Force = 0 Explanation! Because the ship i
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NAME: _Physics 100 Fall 2012 Homework 6 Answer Sheet: Due in Class on 10/12; Show your work on all problems 1. Chapter 7 Case 7 (EXPLAIN all answers!) a. Energy enters as: electrical energy Energy leaves as: electromagnetic radiation Explain b. How much p
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NAME:_Physics 100 Fa2012 Homework 9 Answer Sheet: Due 11/9 in class Show Your Work for All Problems 1. chapter 10, case 2 a. The outside of the sphere offers more area for the electrons to disperse. If they stayed near the belt, then the new electrons bei
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NAME:_Physics 100 Fa2012 Homework 10 Answer Sheet: Due 11/30 in class: Show Your Work for All Problems 1. chapter 10, case 5 a. The electrons flowing through the wire collide with the particles in the resistor, transferring kinetic energy. Temperature is
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NAME: Michael Valore_Physics 100 Fall 2011 Homework 1 Answer Sheet Due 9/2 in class: Show Your Work for All Problems 1. HTW 1E6 (HTW1E6 means How Things Work Textbook Chapter 1 Exercise 6) a. Because the driver is an individual mass separate from the car
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Michael Valore September 23, 2011 Philosophy The Problem of Evil & A Response One of the most common arguments that is used to make an attempt at disproving the existence of God is the problem of evil (39). Although this idea may advocate for the belief o
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Shaleen Shukla - Physics 12 Spring 2009 Practice Problems #3 1 1 pt In Youngs two-slit experiment, the rst dark fringe above the central bright fringe occurs at an angle of 0.267. What is the ratio of the slit separation, d, to the wavelength of the light
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Shaleen Shukla - Physics 12 Spring 2009 Practice Problems #3 1 Relativistic Momentum Two Slits /res/fsu/giancolilib /Chap26_SpecialTheoryRelativity /gcprob2626.problem /res/prenhall/walker/Physics_2E/Chap28 /jsw-prob2814.problem 20) E 3.37E+03 [3305.42079
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Shaleen Shukla - Physics 12 Spring 2009 Practice Problems 2 (UNC) 1 1 pt A single conducting loop of wire has an area of 7.31E-2 m2 and a resistance of 117 . Perpendicular to the plane of the loop is a magnetic eld of strength 0.112 T. At what rate (in T/
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Shaleen Shukla - Physics 12 Spring 2009 Practice Problems 2 (UNC) 1 Induced Current /res/prenhall/walker/Physics_2E/Chap23/jsw-prob2314.problem 1) A 4.10E+02 [401.545280437756,417.93488372093] Sig 0 - 15 Loop of Wire in a Field Unit: T/s /res/msu/physicsl
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Course: Physics100
NAME: _ Physics 100 Fa2010 Homework 6 Answer Sheet: Due 10/15 in class: Show Your Work for All Problems Chapter 7, Case 7. EXPLAIN all answers! a. Energy enters as: electrical energy in the current carried through the bulb Energy leaves as: thermal energy
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Course: Electronics
9 8 7 6 5 4 3 2 1 wave number 1 2 3 4 5 6 7 the square root of the spring constant 8 9 With increasing odd spring constants, the dominant wave number increases logarithmically (which appears linearly when we graph the square root of the spring constant).
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Course: Electronics
5 0 -5 5 0 -5 -5 -5 -2.5 0 2.5 ParametricPlot3D[cfw_u Sin[u] Cos [v], u Cos[u] Cos[v], u Sin[v], cfw_u, -2 , 2 , cfw_v, -2 , 2 ] 5 2 1 0 -1 -2 -1 0 1 2 0 -2 ParametricPlot3D[cfw_u Sin[u] Cos [v], u Cos[u] Cos[v], u Sin[v], cfw_u, -2 , 2 , cfw_v, -2 , 2 ]
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Course: ELECTROMAGNETIC
Physics 117: HW- 7: Ch- 28; Due on 10- 6/7 before the class begins Problem 1. A wire of negligible resistance is bent into a rectangle as shown in the Figure with a battery and resisted connected as shown. The right-hand side of the circuit extends i
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Equilibrium of Forces Acting at a Point Phys 104LSection 435 Lin Letian September 13, 2006 Josh Kahn Lab partner: Shanley Morgan UNC Honor Pledge: _ Abstract In this experiment, we investigated the hypothesis that forces exhibit additive properties and al
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Part 1 Angle of Incidence (degrees) Refraction 1 0 10 20 30 40 50 60 70 80 Refraction 2 0 5 12 19 25 30 35 39 41 0 8 15 21 22 32 37 40 42
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Part 1: Mass of hollow ring = .1002 kg +/- 0.0001 kg Ring was 108.05mm +/- 0.01 mm in diameter from inside to inside Height from bottom of ramp to tray = H = 0.765 +/- 0.001 m h (meters) of h (meters) (meters) x3 (meters) x1 x2 (meters) x4(meters) Mean x
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h 4.00E15 6.408E034 stoppingpotential(1st) stoppingpotential(2nd) 0.775 0.764 0.897 0.886 1.495 1.479 1.705 1.685 1.961 1.981 e Um Uh b Fo m h 1.3371 2.1420342E019 334275000000000 3.00E15 4.806E034 Ub U Ufo e Um Uh b Fo 0.5613 8.992026E020 187100000000000
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Ohms Law and Electrical Currents Suneet Bhansali February 3, 2010 TA: Ryan Partners: Caroline, Logan, Jennie, Trey Phys 105 Section 413 Pledge Abstract: In this experiment, we measure the current-voltage qualities of a resister in order to determine if th
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Reflection, Refraction and Polarization Lab Suneet Bhansali February 24, 2010 TA: Ryan Partners: Carolina, Logan, and Trey Phys 105 Section 413 Pledge _ Abstract: In this lab we investigated the refraction and reflection by experimentally determining the
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Section 450 SUNEET BHANSALI Lab 2: Motion in One Dimension 13 February 2009 Partners: Liz Goodman and Wei Ji Luke Osborne Honor Pledge Data and Results: Part 1: t2 vs. Position Collected Data X (m) T1(s) T2(s) T3(s) T4(s) .4 1.26 1.31 1.32 1.32 Average 1.
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Lab 3 Projectile Motion Section 442 Arada Malekian Thursday, February 17, 2011 Alec Rubenstein Partner: Andres Novoa Pledge: Abstract: The goal of this experiment is to study the motion of a freely-falling projectile launched at both a zero launch angle a
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Empirical Analysis of a Ring Pendulum Part 1: Table I m1= 99.4 g m2= 104.8 g m3= 35.0 g Ring m1 m2 m3 T1 T2 T3 T4 T5 Average T 0.259 0.258 0.260 0.258 0.259 0.260 0.259 0.259 0.258 0.258 0.261 0.254 0.254 0.254 0.254 0.259 0.259 0.255 standard error of T
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1. What possible values of n might we expect for this experiment? What kind of relationship between the rings diameter and period would correspond to each of these values (linear, quadratic, etc.)? n is the constant in the equation T = A*d^n that relates
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Electric Fields and Potentials Physics 105 Lab Section 432: Daniel Keever January 24, 2007 Josh Kahn Lab Partner: Carl Anderson "I pledge that I have neither given nor received any unauthorized assistance on this assignment. Signed:_" Abstract In this exp
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Reflection, Refraction Lab Abstract The purpose of this lab was to investigate the phenomenon of refracted and reflected light by experimentally determining the index of refraction for an acrylic substance. In each part of the experiment, a HeNe laser bea
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Work and Energy Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga Date Lab Performed: 2/14/12 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract In this lab, the work-kinet
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PHYS105. EXP2: Ohms Law and Electric Circuits Prelab Questions: 1. How can you tell from an I-V curve if a device is ohmic? A device is ohmic if it satisfies Ohms law: V = IR. An IV curve can indicate if this relationship is valid by displaying I vs. V. I
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Alec Rubenstein March 16, 2011 Pre-Lab 6: Pre-Lab 6: Questions 1. The objective of this lab is to experiment with translational kinetic energy and rotational kinetic energy to calculate the geometric factor k for a rotating object. We are also trying to c
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Course: PHYSICS INTRO 104
Lab 6: Energy of a Rolling Object Elliot Blau Lab Partner: Taylor Gammons 3/26/2008 TA: Zheng Ren Section 434, 4:00-5:30PM Pledge: I pledge that no unauthorized assistance has been given or received in the completion of the work presented in this re
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Rotational Inertia Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga, Katherine Heyde Date Lab Performed: 3/13/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract The p
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Rectilinear Motion with Constant Acceleration Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga Date Lab Performed: 1/24/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abst
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Equilibrium of Forces Acting at a Point Physics 104 444 and TA: Pengyi Zhang January 24, 2008 Sheryl Payne Partner: Ben Wright The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period.
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Uniform Circular Motion Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga, Katherine Heyde Date Lab Performed: 2/21/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract
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Alec Rubenstein Lab 7 Pre-Lab Empirical Analysis of a Ring Pendulum 2, 4, 6, 8: Part 2 of 5 2. I do not think that varying the mass will affect the period of oscillation. Because the pendulum is based off the force of gravity and all objects fall at the s
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1. The Earths magnetic field has a strength of about 0.5 gauss. What magnetic field strength must be produced by the coils so that the Earths magnetic field has less than a 1% effect on this experiment? How much current through the coils is needed to prod
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Course: Electromagnetism And Optics
Magnetic Fields from Currents Josh Fuchs Date of Experiment: 2/26/2014 Grishma Alakkat Lab Partners: Molly Quillin, Chris Miller I have neither given nor received unauthorized aid on this assignment. _ Abstract The purpose of this experiment was to examin
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Course: PHYSICS MECHANICS
Instructions for Sample Lab Experimental Investigation of C/D Introduction: How is the circumference of a circle related to its diameter? In this lab, you design an experiment to test a hypothesis about the geometry of circles. This activity is an introdu
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Course: PHYSICS MECHANICS
Motion in two directions Force Laboratory Theory: The block on the table weighs 111 N and the weight of the hanging block is 258 N. Ignore all frictional effects. Assume the pulley to be massless. Find the acceleration of the two blocks and the tension in
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Course: PHYSICS MECHANICS
Rectilinear Motion with Constant Acceleration Physics 116 Section 426 John Corn September 6, 2011 Ekaterina Khvostova Partners: Tim Angle and Max Harlacher The work presented in this report is my own, and the data were obtained by my lab partner and mysel
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Conservation of Linear Momentum Physics 116 Section 426 John Corn October 11, 2011 Ekaterina Khvostova Partners: Tim Angle, Max Harlacher, and Charles Manker The work presented in this report is my own, and the data were obtained by my lab partner and mys
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Course: PHYSICS MECHANICS
Projectile Motion Physics 116 Section 426 John Corn September 20, 2011 Ekaterina Khvostova Partners: Tim Angle and Max Harlacher The work presented in this report is my own, and the data were obtained by my lab partner and myself during the lab period. Ab
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Course: PHYSICS MECHANICS
Uniform Circular Motion Physics 116 Section 426 John Corn October 4, 2011 Ekaterina Khvostova Partners: Tim Angle, Max Harlacher, and Charles Manker The work presented in this report is my own, and the data were obtained by my lab partner and myself durin
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Course: PHYSICS MECHANICS
Work and Energy Physics 116 Section 426 John Corn September 27, 2011 Ekaterina Khvostova Partners: Tim Angle, Max Harlacher, and Charles Manker The work presented in this report is my own, and the data were obtained by my lab partner and myself during the
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Lab 2: Motion in One Dimension Lab Section: 422 Experiment Date: January 22, 2013 TA: Tristan Name: Ashli Huynh Partners: Precious Boston, Richard Sun, Christine Ha Honor Pledge: Ashli Huynh ABSTRACT The objective of this lab is to gain a better understan
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Ben Stevenson _ Honor Code: Physics 116 Lab, Section 432 Investigation of Uniform Circular Motion Introduction In this lab, we examined the angular velocity of an object with varying centripetal forces. We achieved this using a Uniform Circular Motion App
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Ben Stevenson Physics 116 Lab Section 432 Investigation of Projectile Motion Introduction In this lab we examined the behavior of a projectile in free-fall after it was given an initial velocity at various angles. For Part 1, we used the time and distance
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Ben Stevenson Physics 116 Lab Investigation of Acceleration of Free-Falling Bodies Introduction In this lab, we examined the acceleration of a weight in free-fall and varying masses attached to a glider on an air track. For the weight dragging paper throu
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Rectilinear Motion with Constant Acceleration Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga Date Lab Performed: 1/24/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abst
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Projectile Motion Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga Date Lab Performed: 1/31/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long Abstract In this investigation,
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Conservation of Linear Momentum Lab Report TA: Mark Moog Lab Section: 422 Lab Partners: Sloane Miller, Noah Haga, Katherine Heyde Date Lab Performed: 2/28/2012 On my honor, I have neither given nor received unauthorized aid on this assignment. Clay Long A
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Lab 8 Sound Waves Section 442 Arada Malekian Thursday, April 7, 2011 Alec Rubenstein Partners: Andres Novoa Pledge: Data & Analysis: Part A: Tuning Fork Rubber Mallet Model C256 B480 Amplitude 0.0109 0.120 Frequency (Hz) 253.91 478.52 Tuning Fork Plastic
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Lab 6 Energy of a Rolling Object Section 442 Arada Malekian Thursday, March 17th, 2011 Alec Rubenstein Partner: Andres Novoa Pledge: Abstract: The purpose of this experiment is to explore the Law of Conservation of Energy and to obtain the geometric facto
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Raw Data h (m) X1 (m) 0.310 0.280 0.250 0.230 0.200 0.652 0.620 0.578 0.564 0.545 X2 (m) X3 (m) 0.644 0.641 0.618 0.613 0.580 0.587 0.571 0.560 0.532 0.528 0.416907 0.380698 0.338351 0.319246 0.286278 0.425104 0.3844 0.334084 0.318096 0.297025 0.414736 0.
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Lab 4 Work and Energy Section 442 Arada Malekian Thursday, February 24, 2011 Alec Rubenstein Partners: Andres Novoa Pledge: Abstract: The purpose of this lab is to compare the energy of a system during different phases and examine the validity of the work
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Alec Rubenstein Experiment 5-Uniform Circular Motion Pre-Lab 1, 3, 4, 6, 7 1. The acceleration of a rotating object is not zero for uniform circular motion because velocity is a vector term which means that it has a magnitude and direction. If either the
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Section 450 Suneet Bhansali Equilibrium of Forces Acting on a Point January 30, 2009 Chris and Liz Goodman Luke Osborne Honor Pledge Experimental Data Mass (g) Weight 1 Weight 2 Weight 3 Degrees () 166.0 +/- 0.1 166.1 +/- 0.1 165.8 +/- 8.0 Uncertainty of
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Equilibrium of Forces Acting at a Point Name: Suneet Bhansali Section: Date Partners: TA Part 1: Finding the required force magnitude and direction to reach equilibrium (3 Pulleys) Measurements Pulley 1 Mass (kg) : um (kg) : Angle (rads) : u (radians) : C
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Section 450 SUNEET BHANSALI Lab 6: Energy of a Rolling Object March 20, 2009 Partners: Liz Goodman and Wei Ji TA: Luke Osborne Honor Pledge Abstract: The purpose of the rolling objects lab was to apply the Law of Conservation of Energy to determine k valu
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Periods 1.4534 1.57 1.18 1.4506 1.5798 1.18 1.4535 1.5815 1.181 1.4427 1.5817 1.1783 1.429 1.5838 1.1792 1.4229 1.5824 1.1793 1.423 1.5765 1.1742 1.4298 1.5866 1.1717 1.4397 1.5873 1.1714 Avg 1.438289 1.581067 1.177233 Stdev 0.012558 0.005294 0.003537 sta
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Trial 1 2 3 4 5 Period 1 Period 2 Period 3 Trial 1.075 1.1414 1.0814 1.0806 1.0774 1.073 0.8482 1.0731 1.181 1.3652 1.0096 1.126 0.9556 1.0706 1.0856 0.193283 0.046672 0.044938 0.086439 0.020872 0.020097 1 2 3 4 5 Period 4 Period 5 Period 6 1.436 0.8123 2
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4.479 6.4373 8.336 11.34 16.24 Spring Constant 20 For c e ( ne wt ons ) 0 0.0042 0.006 0.0089 0.0115 15 10 5 0 0 0.002 0.004 0.006 0.008 Change in x (met ers) 0.01 0.012 0.014 Mass Distance Force 0.01 5.886 0.017 9.81 0.022 13.734 0.03 17.658 0.033 21.582
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Section 450 SUNEET BHANSALI Lab 3: Projectile Motion February 20, 2009 Partners: Liz Goodman, Wei Ji, Ben Kane TA: Luke Osborne Honor Pledge Experimental Data: Part 1 Time of Flight vs. Initial Velocity Experimental Data Part 0:Projectile Motion Setup Par
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Part 0:Projectile Motion Setup Part Height (m) Angle () 1 1.066 2 1.066 Gravity (m/s)= uH (m) 0 30 (rad) u () 0.00533 0 0.00533 0.523599 x (m) = 9.8 1 u (rad) 0.0174532925 0.096 Part 1: Time of Flight vs. Initial Velocity Experimental Data Measurements (
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t^2 x(m) 1.69650625 2.4336 3.3856 4.1209 5.25555625 t^2 vs x average t(sec) 2x 0.4 1.30 0.6 1.56 0.8 1.84 1 2.03 1.2 2.29 a 0.8 0.471557 1.2 0.493097 1.6 0.47259 2 0.485331 2.4 0.45666 t^2 vs. X 6 f(x) = 4.4027x - 0.1437275 R = 0.994487212 t ^2 5 4 3 2 1
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Voltage Over Time for Discharging of Capacitor 12 Volt a g e ( Volt s ) 10 f(x) = 9.4988757540.9901114298^x R = 0.9949820931 8 6 4 2 0 0 50 100 150 200 250 300 350 400 450 500 450 500 T ime (Seconds) ln(Vc/Vo) vs. Time for Discharging of Capacitor 0 = -0.
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Abstract (10 pts.) Provide an abstract for this experiment here. In this experiment, we investigated the different ways to determine the time constant RC. By observing the change in voltage over time in two simple circuits of a resistor and a capacitor in
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4.) According to the equation E = F/q, E=0 when F=0. Experimentally, we are able to tell where E = 0 whenever the net force acting on a positive test charge equals zero. By placing an object in the electric field and testing the charge on it, we are able
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1. What is the meaning of the time constant, RC? The time constant, RC, is a characteristic of all exponential curves and gives an indication of the rate of change of the current. It indicates, for an exponential situation, the length of time required for
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General Lab Report Grading Rubric for Introductory Physics Labs at UNC-CH Effective Fall 2001, last revised: 8/22/01 Name: _ Lab: _ Note: The weight assigned to each of the categories below is the same for all lab sections (numbers in bold); however, the
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PHYS104. EXP5: Conservation of Momentum Experiment Date, Lab Partners Date of Experiment: 10/09/06 Names of Lab Partners Mary Shanley Morgan Abstract (10 pts.) Provide an abstract for this experiment here. In this experiment, we investigated the hypothesi
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In this investigation, we studied the motion of a projectile and investigated the hypothesis that horizontal motion is independent of vertical velocity. We measured the initial velocities of a ball, shooting it at a short and a long range setting. Measure
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Time of flight: (Part 1 Prediction) 1 y = y 0 + v 0 t gt 2 2 Part 2 Prediction 1 y = y 0 + v 0 t gt 2 2 1 h f = h0 + v 0 sin t gt 2 2 12 gt 2 1 0 = 1.06 + 3.29 sin ( 30 ) t (9.8)t 2 2 1 0 = 1.06 + 3.358 sin ( 30 ) t (9.8)t 2 2 Using the quadratic equation
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t^2 vs x t 0.4 0.6 0.8 1 1.2 2x 1.177 1.413 1.723 1.91 2.15 a 0.8 0.5774802 1.2 0.6010311 1.6 0.5389512 2 0.5482306 2.4 0.5191996 average a: 0.5569785 Part 1: T ime Squared vs. X 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 0 0.4 t ^2 t^2 x 1.385329 1.996569 2.968729 3.
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Course: QUANTUM MECHANICS
C. Wassgren Chapter 12: Gas Dynamics 564 Last Updated: 14 Aug 2010
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Course: QUANTUM MECHANICS
(Figure from: Liepmann, H.W. and Roshko, A., Elements of Gasdynamics, Wiley.) C. Wassgren Chapter 12: Gas Dynamics 547 Last Updated: 14 Aug 2010
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Course: QUANTUM MECHANICS
3. Over-speeding the diffuser is often impractical. For example, consider a diffuser designed to operate at a Mach number of 1.7 (Ai/A* = Ai/At = 1.338). The critical Mach number for swallowing the shock will be: Ma,crit > 1 Note: A2* = At 1 2 1 1 Ma 2 2
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Course: QUANTUM MECHANICS
As the upstream Mach number increases, the sonic area approaches the throat area, i.e. A* At, and the shock moves closer to the inlet (the shock gets weaker and less flow needs to be diverted around the diffuser). Eventually well reach design conditions b
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Course: QUANTUM MECHANICS
Supersonic Diffuser Design Another application where the efficient deceleration of a supersonic flow is of interest is a supersonic diffuser at the inlet of aircraft jet engines. The flow entering a jet engine typically needs to be subsonic in order to av
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Course: QUANTUM MECHANICS
Example: Consider a supersonic wind tunnel starting as shown in the figure below. The upstream nozzle throat area is 1.25 ft2, and the test section design Mach number is 2.50. As the tunnel starts, a normal shock stands in the divergence of the nozzle whe
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Course: QUANTUM MECHANICS
5. In real nozzles flows, the flow will typically separate from the nozzle walls as a result of the large adverse pressure gradient occurring across a shock wave. Interaction of the shock with the separated boundary layer results in a more gradual pressur
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Course: QUANTUM MECHANICS
Once the wind tunnel is running and weve decreased the 2nd throat area, we should try to minimize the stagnation pressure loss through the shock wave in the 2nd diverging section (and, hence, increase the tunnel efficiency). To do this we increase the bac
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Course: QUANTUM MECHANICS
and we decrease the back pressure further, then the shock will be swallowed by the 2nd throat and the flow within the test section will, at last, be supersonic (shown below). Mat2 > 1 Mat1 = 1 p01 MaTS > 1 Ma < 1 Ma < 1 pback At1 = A1* p/p01 1 p*/p01 1st
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Course: QUANTUM MECHANICS
Now consider what happens if we make the 2nd throat just a little bit larger than the 1st throat. As we decrease the back pressure we will reach a case where the flow in the 1st throat becomes choked and a shock wave forms in the diverging section of the
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Course: QUANTUM MECHANICS
Continuous-Duty Wind Tunnels Continuous duty wind tunnels utilize a compressor to produce the driving pressure gradient for the flow. In order to minimize the required compressor power, the wind tunnel should operate as efficiently as possible, i.e. as cl
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Course: QUANTUM MECHANICS
Image from: http:/history.nasa.gov/SP-440/ch5-6.htm Notes: 1. There is a fixed amount of time for which the device will operate at the design test section Mach number, MaTS, since the tank mass will decrease with time. To extend the duration of the test,
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Course: QUANTUM MECHANICS
Again, in order to minimize the compressor power requirements, the losses in the system should be minimized. The ideal case (shown below) is to have an isentropic deceleration from supersonic to subsonic speeds. Mat2 = 1 Mat1 = 1 MaTS > 1 p01 Ma < 1 Ma <
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Course: QUANTUM MECHANICS
Example: A blowdown wind tunnel exhausting to atmospheric pressure (14.7 psia) is to be designed. The test section cross-sectional area is specified to be 1 ft2, and the desired test section Mach number is 2.0. The supply tank can be pressurized to 150 ps
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Course: QUANTUM MECHANICS
Supersonic Wind Tunnel Design There are three common designs for supersonic wind tunnels: 1. high-pressure gas storage tanks (and/or vacuum tanks) for blowdown wind tunnels, 2. a compressor and diffuser for continuous-duty wind tunnels, and 3. shock tubes
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Course: QUANTUM MECHANICS
Example: A converging-diverging nozzle, with an exit to throat area ratio, Ae/At, of 1.633, is designed to operate with atmospheric pressure at the exit plane, pe = patm. a. Determine the range(s) of stagnation pressures for which the nozzle will be free
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Course: QUANTUM MECHANICS
A converging-diverging nozzle with pressure taps along the length of the device. The flow is from left to right. The pressure ratio as a function of the axial distance in the CD nozzle for various back pressures. Note the gradual pressure rise due to the
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Course: QUANTUM MECHANICS
4. The location of a shock wave for a back pressure in the range corresponding to case 3 and case 5 can be determined through iteration. a. Assume a location for the shock wave (e.g. pick a value for A/At since the geometry is known). b. Determine the Mac
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Course: QUANTUM MECHANICS
Example: A converging-diverging nozzle, with Ae/At = 1.633, is designed to operate with atmospheric pressure at the exit plane. Determine the range(s) of stagnation pressures for which the nozzle will be free from normal shocks. C. Wassgren Chapter 12: Ga
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Course: QUANTUM MECHANICS
Notes: 1. The critical back pressure ratio corresponding to case 3 can be found from the isentropic relations (the flow throughout the entire device is isentropic). Assume that the geometry, and hence the exit-tothroat area ratio, Ae/At, is given. Since f
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Course: QUANTUM MECHANICS
Example: According to a newspaper article, at the center of a 12,600 lbm Daisy-Cutter bomb explosion the overpressure in the air is approximately 1000 psi. Estimate: a. the speed of the resulting shock wave into the surrounding air, b. the wind speed foll
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Course: QUANTUM MECHANICS
10. Flow in Converging-Diverging Nozzles Consider flow through a converging-diverging nozzle (aka a deLaval nozzle) as shown below. p0, T0, 0 V0 pB pE x Athroat, pthroat Lets hold the stagnation pressure, p0, fixed and vary the back pressure, pB. The plot
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Course: QUANTUM MECHANICS
5. On a T-s diagram, the states across a shock wave correspond to the intersection of the Fanno and Rayleigh lines for the flow: T, temperature downstream state (state 2) Fanno line Rayleigh line upstream state (state 1) s, entropy The reason for this is
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Course: QUANTUM MECHANICS
3. Plots of equations (12.198)-(12.202) as a function of Ma1 are shown below: 5 values 4 Ma2 T2/T1 p2/p1 r2/r1 p02/p01 A2*/A1* 3 2 V2/V1 1 0 1.0 1.5 2.0 2.5 3.0 Ma1 The plot shows the following relations: T2 > T1 and T2/T1 as Ma1 p2 > p1 and p2/p1 as Ma1
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Course: QUANTUM MECHANICS
Example: A model solid propellant rocket has a mass of 69.6 gm, of which 12.5 gm is fuel. The rocket produces 1.3 lbf of thrust for a duration of 1.7 sec. For these conditions, calculate the maximum speed and height attainable in the absence of air resist
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Course: QUANTUM MECHANICS
Since the cart acceleration is constant (= a), we may write: U = at (Note that U(t = 0) = 0 since the cart starts from rest.) (3.112) Note that Eqn. (3.112) is only true when a = constant. Otherwise, if a = a(t) one must write the velocity as: t U = U 0 +
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Course: QUANTUM MECHANICS
The time derivative of the xyz basis vectors is found from geometric considerations. Consider the drawing shown below of the change in the x-basis vector as a function of time. For simplicity, well assume that the rotation only occurs in the xy plane (i.e
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Course: QUANTUM MECHANICS
where d dt u dV 0 x CV (The cart has zero velocity in this frame of reference. The fluid in the control volume does accelerate in this frame of reference; however, its mass is assumed to be much smaller than the cart mass. Hence, the rate of change of th
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Course: QUANTUM MECHANICS
Example: The tank shown rolls along a level track. Water received from a jet is retained in the tank. The tank is to accelerate from rest toward the right with constant acceleration, a. Neglect wind and rolling resistance. Find an algebraic expression for
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Course: QUANTUM MECHANICS
The remaining Lagrangian term can be simplified by changing the volume integral to a mass integral and noting that the mass of the system doesnt change with time: D u xyz / XYZ + xyz / XYZ rxyz dV Dt Vsystem ( ) D = u xyz / XYZ + xyz / XYZ rxyz dm D
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Course: QUANTUM MECHANICS
xyz / XYZ ( d rxyz e xyz ) ( = xyz / XYZ u xyz + xyz / XYZ rxyz dt ) (3.98) XYZ ( = xyz / XYZ u xyz + xyz / XYZ xyz / XYZ rxyz ) Substituting Eqns. (3.97) and (3.98) into Eqn. (3.96) and simplifying gives: a XYZ rectilinear acceleration of particle in f
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Course: QUANTUM MECHANICS
Example: A jet of water is deflected by a vane mounted on a cart. The water jet has an area, A, everywhere and is turned an angle with respect to the horizontal. The pressure everywhere within the jet is atmospheric. The incoming jet velocity with respect
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Course: QUANTUM MECHANICS
Example: A variable mesh screen produces a linear and axi-symmetric velocity profile as shown in the figure. The static pressure upstream and downstream of the screen are p1 and p2 respectively (and are uniformly distributed). If the flow upstream of the
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Course: QUANTUM MECHANICS
The LME for Non-Inertial Frames of Reference Recall that Newtons 2nd law holds strictly for inertial (non-accelerating) frames of reference. Now lets consider frames of reference that are non-inertial (accelerating). First lets examine how we can describe
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Course: QUANTUM MECHANICS
Example: Incompressible fluid of negligible viscosity is pumped, at total volume flow rate Q, through a porous surface into the small gap between closely spaced parallel plates as shown. The fluid has only horizontal motion in the gap. Assume uniform flow
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Course: QUANTUM MECHANICS
Now apply the linear momentum equation in the X-direction to the same control volume. d u X dV + u X ( u rel dA ) = FB, X + FS , X dt where d dt CV CV u X (3.82) dV = 0 CV r=R u X ( u rel dA ) = V12 R 2 + CV left side = dA 2 3 r 2 V1 ( 2 rdr ) R r =0 r
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Course: QUANTUM MECHANICS
Substitute. Fx = 2 V 2 RH (3.75) To determine V, apply conservation of mass to the same control volume. d dV + u rel dA = 0 dt where d dt CV CS dV = 0 (3.76) (steady flow) CV = dA = u rel dA = Q + inlet CS V Rd H = Q + V RH =0 outlet Substitute and s
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Course: QUANTUM MECHANICS
Now apply the linear momentum equation in the X-direction to the same control volume. d u X dV + CS u X ( urel dA ) = FBX + FSX dt CV where d u X dV = 0 (steady flow) dt CV d d dA ) = V 2 hw + ( V 2 hw ) ( 1 dx ) + V 2 hw + ( V 2 hw ) ( 1 dx ) 2 2 d
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Course: QUANTUM MECHANICS
Example: Water is sprayed radially outward through 180 as shown in the figure. The jet sheet is in the horizontal plane and has thickness, H. If the jet volumetric flow rate is Q, determine the resultant horizontal anchoring force required to hold the noz
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Course: QUANTUM MECHANICS
Substitute and re-arrange. 2 D12 D2 D12 V12 + V22 = p1,gage + Fbolts 4 4 4 2 D12 D2 D12 Fbolts = V12 + V22 p1,gage 4 4 4 (3.70) To determine V2, apply conservation of mass to the same control volume. d dV + u rel dA = 0 dt where d dt CV Cs (3.71)