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School: UCLA
Course: Physics 1A Mechanics
Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Name: Student I.D.# Signature: Please do the following 4 problems. Show all work and reasoning. U
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Midterm-2: Chapters: 5, 6, 7, and 8 Chapter 9 1 2 9.4 Rotational Kinetic Energy A rotating rigid body consists of mass in motion so it has a kinetic energy. For a rigid bodies, systems of particles in which particles com
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Chapter 9 1 Introduction A wind turbine, a CD, a ceiling fan, and a Ferris wheel all involve rotating rigid objects. All points in a rigid body rotate with the same angular velocity and same angular acceleration. Real-
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 2 8.3 Collisions The term collision represents an event during which two particles come close to each other and interact by means of forces. The interaction forces are assumed to be much greater than an
School: UCLA
Course: Physics 1a
Displacement: 1-D 3-D r = r2 r1 r r2 r1 = = t t 2 t1 Average Velocity: v avg Instantaneous Velocity: r v = lim = t 0 t Average Acceleration: v v 2 v1 a avg = = t 2 t1 t Instantaneous Acceleration: v dv a = lim = t 0 t dt dr dt 1 Useful Equations f
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 Problem 2.9 from Serway & Jewett (Chap. 2, Problem 55, page 67) 2 Solution: total time = rock time down + sound up so t=tr+ts Equation for rock 12 12 yr = yi + vi t r gt r yr yi = gt r = h 0 = h 2 2 assume g
School: UCLA
Course: Physics 1a
Displacement: 1-D 3-D r = r2 r1 r r2 r1 = = t t 2 t1 Average Velocity: v avg Instantaneous Velocity: r v = lim = t 0 t Average Acceleration: v v 2 v1 a avg = = t 2 t1 t Instantaneous Acceleration: v dv a = lim = t 0 t dt dr dt 1 Useful Equations f
School: UCLA
Course: Physics 1a
phermi What is phermi? Interesting problems What's new? Insightful solutions Our strategy for determining the launch angle will be to determine the paths of the wrench and of Sandra as viewed in the inertial frame. We compute these paths as a function of
School: UCLA
2nd Midterm Friday, February 20, 2014 4-5:50 p.m. Chapter 5 Summary Although it came originally from Chapter 4, you need to know Newtons Second Law: F ma Fx ma x , Newtons second law, vector form Fy ma y Newtons second law, component form Two types: St
School: UCLA
School: UCLA
School: UCLA
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Midterm-2: Chapters: 5, 6, 7, and 8 Chapter 9 1 2 9.4 Rotational Kinetic Energy A rotating rigid body consists of mass in motion so it has a kinetic energy. For a rigid bodies, systems of particles in which particles com
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Chapter 9 1 Introduction A wind turbine, a CD, a ceiling fan, and a Ferris wheel all involve rotating rigid objects. All points in a rigid body rotate with the same angular velocity and same angular acceleration. Real-
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 2 8.3 Collisions The term collision represents an event during which two particles come close to each other and interact by means of forces. The interaction forces are assumed to be much greater than an
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 Problem 2.9 from Serway & Jewett (Chap. 2, Problem 55, page 67) 2 Solution: total time = rock time down + sound up so t=tr+ts Equation for rock 12 12 yr = yi + vi t r gt r yr yi = gt r = h 0 = h 2 2 assume g
School: UCLA
Course: Physics 1a
Chapter 11 Equilibrium and Elasticity You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If needed Review Friday 15, From 0500pm to 0630 pm PAB 1425 Chapter 11 1 2 3 4 5 11.3 S
School: UCLA
Course: Physics 1a
Chapter 13 Gravitation IT'S TIME TO EVALUATE YOUR INSTRUCTORS! You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If you have not done so please fill out the online evaluations
School: UCLA
Course: Physics 1A Mechanics
Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Name: Student I.D.# Signature: Please do the following 4 problems. Show all work and reasoning. U
School: UCLA
Course: Physics 1a
Physics 1A -Winter 2013 FINAL PRACTICE TEST - Friday, March 8, 2013 Notice that this is a practice exam only for the subjects not covered in the midterm exams. The actual nal exam on Friday March 22, from 11:30 and to 1:30 pm, will cover everything we hav
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 20 Cars B and C are at rest with their breaks o. Car A plows into car B at high speed, pushing B into C. If the collisions are completely inelastic (i.e. the cars stick together) what fraction of the initial energy
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 18 A small cube of mass m slides down a circular path of radius R cut into a large block of mass M . The block of mass M rests on a table, and both the cube and the block move without friction and are initially at
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 19 A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/5 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of th
School: UCLA
Course: Physics 1a
Systematics of Force Problems 1. Identify the objects in the problem whose motions you are interested in. Newtons Laws will eventually be applied to each such object. Sometimes, youll need to consider more objects than just the ones whose motions you are
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 17 N women, each of mass m, stand on a railway atcar of mass M . They jump o one end of the atcar with velocity u relative to the car. The car rolls in the opposite direction without friction. (a) What is the nal v
School: UCLA
Course: Physics 1a
Extra Problems from Chapter 6, 7, and 8 6.33. I DE NT I F Y : The springs obey Hooks law and balance the downward force of gravity. S E T U P : Use coordinates with + y upward. Label the masses 1, 2, and 3 and call the amounts the springs are stretched x1
School: UCLA
Course: Physics 1A
Waves and Vibrations: Define and calculate: waves wavelength, period, frequency, and speed. Wave interference. Define evaporation, condensation, freezing and melting. 1. Explain some applications regarding changes between phases. 2. Identify the different
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Wednesday, March - Friday, June 12 Lectures: MWRF, 4:00 PM - 5:00 PM, PAB 1425 Instructor Josh Samani jsamani@physics.ucla.edu Oce: PAB 1-707L Teaching Assistants Albert Brown anbrown@physics.ucla.edu Oce: PAB 1-704A Jonathan Kernes
School: UCLA
Course: Physics 1a
PHYSICS 1A Physics for Scientists and Engineers: Mechanics Winter 2013 Lecture 4 Instructor: Dr. Mostafa El Alaoui Office: 3854 Slichter Hall E-mail: mostafa@igpp.ucla.edu Discussion T.A.: Li, Yi e-mail: yli@physics.ucla.edu Textbook : Young and Freedm
School: UCLA
1 Lecture 4 Syllabus Winter 2014 Physics 1A - Physics for Scientists and Engineers: Mechanics Enforced requisites: Mathematics 31A, 31B. Enforced corequisite: Mathematics 32A. Recommended corequisite: Mathematics 32B. Mostafa El Alaoui Office: 3854 Slicht
School: UCLA
Course: Physics 1A
Physics 1A: Winter 2012 Lecture Meets: MTWF Instructor: Oce: Phone: Oce Hours: Dr. Brent Corbin PAB 1-707M 267-4686 TBA Text: University Physics, Vol 1 2:00 - 2:50 PM Exam Schedule: Friday, 3 February 2012 2:00-2:50 pm Friday, 2 March 2012 2:00-2:50 pm Mo
School: UCLA
Course: Physics 1A Mechanics
Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Name: Student I.D.# Signature: Please do the following 4 problems. Show all work and reasoning. U
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Midterm-2: Chapters: 5, 6, 7, and 8 Chapter 9 1 2 9.4 Rotational Kinetic Energy A rotating rigid body consists of mass in motion so it has a kinetic energy. For a rigid bodies, systems of particles in which particles com
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Chapter 9 1 Introduction A wind turbine, a CD, a ceiling fan, and a Ferris wheel all involve rotating rigid objects. All points in a rigid body rotate with the same angular velocity and same angular acceleration. Real-
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 2 8.3 Collisions The term collision represents an event during which two particles come close to each other and interact by means of forces. The interaction forces are assumed to be much greater than an
School: UCLA
Course: Physics 1a
Displacement: 1-D 3-D r = r2 r1 r r2 r1 = = t t 2 t1 Average Velocity: v avg Instantaneous Velocity: r v = lim = t 0 t Average Acceleration: v v 2 v1 a avg = = t 2 t1 t Instantaneous Acceleration: v dv a = lim = t 0 t dt dr dt 1 Useful Equations f
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 Problem 2.9 from Serway & Jewett (Chap. 2, Problem 55, page 67) 2 Solution: total time = rock time down + sound up so t=tr+ts Equation for rock 12 12 yr = yi + vi t r gt r yr yi = gt r = h 0 = h 2 2 assume g
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 20 Cars B and C are at rest with their breaks o. Car A plows into car B at high speed, pushing B into C. If the collisions are completely inelastic (i.e. the cars stick together) what fraction of the initial energy
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 18 A small cube of mass m slides down a circular path of radius R cut into a large block of mass M . The block of mass M rests on a table, and both the cube and the block move without friction and are initially at
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 19 A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/5 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of th
School: UCLA
Course: Physics 1a
phermi What is phermi? Interesting problems What's new? Insightful solutions Our strategy for determining the launch angle will be to determine the paths of the wrench and of Sandra as viewed in the inertial frame. We compute these paths as a function of
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Wednesday, March - Friday, June 12 Lectures: MWRF, 4:00 PM - 5:00 PM, PAB 1425 Instructor Josh Samani jsamani@physics.ucla.edu Oce: PAB 1-707L Teaching Assistants Albert Brown anbrown@physics.ucla.edu Oce: PAB 1-704A Jonathan Kernes
School: UCLA
Course: Physics 1a
Systematics of Force Problems 1. Identify the objects in the problem whose motions you are interested in. Newtons Laws will eventually be applied to each such object. Sometimes, youll need to consider more objects than just the ones whose motions you are
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 17 N women, each of mass m, stand on a railway atcar of mass M . They jump o one end of the atcar with velocity u relative to the car. The car rolls in the opposite direction without friction. (a) What is the nal v
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 15 A system is composed of two blocks of mass m1 and m2 connected by a massless spring with spring constant k. The blocks slide on a frictionless plane. The unstretched length of the spring is 0 . Initially, mass m
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 16 A freight car of mass M contains a mass of sand m. At t = 0, a constant, horizontal force of magnitude F starts being applied, and at the same time a port in the bottom is opened to let the sand ow out at a cons
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 14 This problem was designed for you to explore one of the simplest, most important, and most ubiquitous systems in all of physics: the classical harmonic oscillator. Consider a block of mass m sliding on a frictio
School: UCLA
Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 13 An instrument-carrying projectile accidentally explodes at the top of its trajectory. The horizontal distance between the launch point and the point of explosion is L. The projectile breaks into two pieces which
School: UCLA
Course: Physics 1a
Chapter 11 Equilibrium and Elasticity You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If needed Review Friday 15, From 0500pm to 0630 pm PAB 1425 Chapter 11 1 2 3 4 5 11.3 S
School: UCLA
Course: Physics 1a
PHYSICS 1A Physics for Scientists and Engineers: Mechanics Winter 2013 Lecture 4 Instructor: Dr. Mostafa El Alaoui Office: 3854 Slichter Hall E-mail: mostafa@igpp.ucla.edu Discussion T.A.: Li, Yi e-mail: yli@physics.ucla.edu Textbook : Young and Freedm
School: UCLA
Course: Physics 1a
Chapter 13 Gravitation IT'S TIME TO EVALUATE YOUR INSTRUCTORS! You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If you have not done so please fill out the online evaluations
School: UCLA
Course: Physics 1a
Chapter 13 Gravitation IT'S TIME TO EVALUATE YOUR INSTRUCTORS! You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If you have not done so please fill out the online evaluations
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion Chapter 10 1 10.4 Work and Power in Rotational Motion A rigid body rotates about an axis through O under the action of an external force F applied at P. The object rotates through an infinitesimal angle d about a f
School: UCLA
Course: Physics 1a
Chapter 11 Equilibrium and Elasticity You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4.\ Chapter 11 1 Goals for Chapter 11 To study the conditions for equilibrium of a body
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion Chapter 10 1 We know use conservation of angular momentum Li = L f I i = 9.0kg.m 2 I f = 3.54kg.m 2 I ii = I f f i = 0.75rad / s f = 1.91rad / s 2 3 4 5 6 7 8 9 Example: Two blocks (m1 = 10.0 kg, m2 = 3.00 kg) are
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion In chapter 9, we have studied rotational motion analogs to translational motion in the areas of kinematics and energy. Let us now consider the analog to force by investigating the cause of changes in rotational mot
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion In chapter 9, we have studied rotational motion analogs to translational motion in the areas of kinematics and energy. Let us now consider the analog to force by investigating the cause of changes in rotational mot
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 Example Two particles with masses m and 3m are moving toward each other along the x-axis with the same initial speeds vi. The particle with mass m is traveling to the left, and particle 3m is traveling
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 Momentum, Impulse, and Collisions Let us consider the following situation and see if we can solve it with the models we have developed so far: A 60-kg archer stands at rest on frictionless ice and fires
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies For Midterm-2: Chapters: 5, 6, 7, and 8 Chapter 9 1 2 9.35. Identify and Set Up: I = mi ri2 I implies = I rim + Ispokes Execute: I rim = = kg)(0.300 m)2 = kg m 2 MR 2 (1.40 0.126 Each spoke can be treated as a slender ro
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 The Center of Mass (system of many particles) We can extend the concept of center of mass to a system of many particles in three dimensions. xCM = M = mi i m x i i M i yCM ; yCM = m y i i M i ; zCM = m
School: UCLA
Course: Physics 1a
Chapter 7 Potential Energy and Energy Conservation Chp-07 1 2 Lec 17 Chap 7 3 7.3 Conservative and Non-conservative Forces A conservative force allows conversion between kinetic and potential energy. Gravity and the spring force are conservative. The wo
School: UCLA
Course: Physics 1a
Chapter 7 Potential Energy and Energy Conservation Chp-07 1 Gravitational Potential energy for motion along curved path To find the work done by the gravitational force during an arbitrarydisplacement , we divide the path into small segment s . s = x + y
School: UCLA
Course: Physics 1a
Chapter 6 Work and Kinetic Energy Midterm-2 will be Tuesday, February 26, 2013 4-4:50 p.m. Room: WGYOUNG CS50 Chp-06 1 6.5 Power The definition of work makes no reference to the passage of time. If you lift a box weighing 100N through a vertical distance
School: UCLA
Course: Physics 1a
Chapter 6 Work and Kinetic Energy Midterm-2 will be Tuesday, February 26, 2013 4-4:50 p.m. Room: WGYOUNG CS50 Chp-06 1 Introduction The simple methods weve learned using Newtons laws are inadequate when the forces are not constant. In this chapter, the
School: UCLA
Course: Physics 1a
Chapter 6 Work and Kinetic Energy Midterm-2 will be Tuesday, February 26, 2013 4-4:50 p.m. Room: WGYOUNG CS50 Chp-06 1 Work Done by a Spring Forces exerted by springs represent a prime example of forces varying with position. If the block is moved, thereb
School: UCLA
Course: Physics 1a
Review for Midterm 1 Physics 1A Winter 2013 Mostafa El Alaoui Covers Chapters 1 through 5 in Principles of Physics Young and Freedman: University Physics, Volume 1 Chapter 1 Units Use SI system of units, also known as the MKS system: Length [L] meters (m)
School: UCLA
Course: Physics 1a
Chapter 5 Applying Newtons Law Chp-05 1 Example 5.2 (from Serway and Jewett) a) How is the coefficient of static friction related to the critical angle c at which the block begins to move? b) How could we find the coefficient of kinetic friction? A block
School: UCLA
Course: Physics 1a
Chapter 5 Applying Newtons Law In this chapter we will first extend the applications of Newtons law to other situations and then we will introduce frictional forces and examine how they in conjunction with the constant forces already examined affect moti
School: UCLA
Course: Physics 1a
Chapter 5 Applying Newtons Law In this chapter we will first extend the applications of Newtons law to other situations and then we will introduce frictional forces and examine how they in conjunction with the constant forces already examined affect moti
School: UCLA
Course: Physics 1a
Chapter 4 Newtons Laws of Motion Chp-04 1 Problem 4.11 from University Physics, p. 129 Use Newtons second law in component form (Eq. 4.8) to calculate the acceleration produced by the force. Use constant acceleration equations to calculate the effect of t
School: UCLA
Course: Physics 1a
Chapter 4 Newtons Laws of Motion Chp-04 1 Chapter 4 Newtons Laws of Motion Introduction: Up until now our study of mechanics has been limited to the mathematical description of motion. We now introduce the concepts of force and mass. Mechanics is the bran
School: UCLA
Course: Physics 1a
Chapter 3 Motion in Two or Three Dimensions Chp-03 1 v1 v2 3.4 Uniform Circular Motion in the Horizontal Plane ac r2 r1 Although the particle moves with constant speed, v1 = v2 , it still has an acceleration, called the centripetal acceleration ac Uniform
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 Problem 2.9 from Serway & Jewett (Chap. 2, Problem 55, page 67) 2 Solution: total time = rock time down + sound up so t=tr+ts Equation for rock 1 2 1 2 yr = yi + vi t r gt r yr yi = gt r = h 0 = h 2 2 assume
School: UCLA
Course: Physics 1a
Chapter 3 Motion in Two or Three Dimensions Chp-03 1 Projectile Motion cont. Plugging eqts (3.15), (3.16), (3.18), and (3.19) into the above equations and assume for simplicity that xo=yo=0 at t=0 x = v o cos o t y = v sin t 1 gt 2 o o 2 (3.20) (3.21) Ve
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 2.4 Motion with Constant Acceleration For constant acceleration vx increases uniformally with time as time varies from 0 to t. Use eqt (2.4) and replace: v2 by vx, t2 by t, t1 by to, and aav-x by ax Use eqt
School: UCLA
Course: Physics 1a
Chapter 1 Units, Physical Quantities, and Vectors Chp-01 1 Goals for Chapter 1 To learn three fundamental quantities of physics and the units to measure them To keep track of significant figures in calculations To understand vectors and scalars and how
School: UCLA
Course: Physics 1a
Chapter 1 Units, Physical Quantities, and Vectors Lecture 2 Chp-01 1 1.5 Coordinate Systems Describing the position of an object, or the motion of an object in space requires specifying its location. In general, a coordinate system consists of 3 things: 1
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 Motion Along A Straight Line (1-dimensional motion) Classical Mechanics deals with the relation of: Force Matter Motion Kinematics is the aspect of mechanics that describes motion while ignoring forces and m
School: UCLA
Course: Physics 1a
Extra Problems from Chapter 6, 7, and 8 6.33. I DE NT I F Y : The springs obey Hooks law and balance the downward force of gravity. S E T U P : Use coordinates with + y upward. Label the masses 1, 2, and 3 and call the amounts the springs are stretched x1
School: UCLA
Course: Physics 1a
Physics 1A -Winter 2013 FINAL PRACTICE TEST - Friday, March 8, 2013 Notice that this is a practice exam only for the subjects not covered in the midterm exams. The actual nal exam on Friday March 22, from 11:30 and to 1:30 pm, will cover everything we hav
School: UCLA
Course: Physics 1a
Physics 1A -Winter 2013 2nd MIDTERM PRACTICE TEST - Thursday Feb. 15, 2013 The actual exam will be Thursday Feb. 21, 2013, during the usual lecture time 10:00 am to 10:50pm- The students whose family names starts with letters A to L will take the exam in
School: UCLA
Course: Physics 1a
11.67. I DE NT I F Y : The torques must balance since the person is not rotating. S E T U P : Figure 11.67a shows the distances and angles. + = 90. = 56.3 and= 33.7. The distances x1 and x2 are x1 (90 cm)cos 50.0 cm and x2 (135 cm)cos 112 cm. The free-bod
School: UCLA
Course: Physics 1a
10.12. I DE NT I F Y : Apply z = z to the wheel. The acceleration a of a point on the cord and the angular I acceleration of the wheel are related by a = R . S E T U P : Let the direction of rotation of the wheel be positive. The wheel has the shape of a
School: UCLA
Course: Physics 1a
9.49.I DE NT I F Y : With constant acceleration, we can use kinematics to find the speed of the falling object. Then we can apply the work-energy expression to the entire system and find the moment of inertia of the wheel. Finally, using its radius we can
School: UCLA
Course: Physics 1a
Student Registration In this course you will be using MasteringPhysics, an online tutorial and homework program. Note: If you have joined a MasteringPhysics course before with the same textbook, save time by following the guide for joining another course
School: UCLA
Course: Physics 1a
Displacement: 1-D 3-D r = r2 r1 r r2 r1 = = t t 2 t1 Average Velocity: v avg Instantaneous Velocity: r v = lim = t 0 t Average Acceleration: v v 2 v1 a avg = = t 2 t1 t Instantaneous Acceleration: v dv a = lim = t 0 t dt dr dt 1 Useful Equations f
School: UCLA
Course: Physics 1a
phermi What is phermi? Interesting problems What's new? Insightful solutions Our strategy for determining the launch angle will be to determine the paths of the wrench and of Sandra as viewed in the inertial frame. We compute these paths as a function of
School: UCLA
2nd Midterm Friday, February 20, 2014 4-5:50 p.m. Chapter 5 Summary Although it came originally from Chapter 4, you need to know Newtons Second Law: F ma Fx ma x , Newtons second law, vector form Fy ma y Newtons second law, component form Two types: St
School: UCLA
School: UCLA
School: UCLA
School: UCLA
School: UCLA
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Midterm-2: Chapters: 5, 6, 7, and 8 Chapter 9 1 2 9.4 Rotational Kinetic Energy A rotating rigid body consists of mass in motion so it has a kinetic energy. For a rigid bodies, systems of particles in which particles com
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies Chapter 9 1 Introduction A wind turbine, a CD, a ceiling fan, and a Ferris wheel all involve rotating rigid objects. All points in a rigid body rotate with the same angular velocity and same angular acceleration. Real-
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 2 8.3 Collisions The term collision represents an event during which two particles come close to each other and interact by means of forces. The interaction forces are assumed to be much greater than an
School: UCLA
Course: Physics 1a
Chapter 2 Motion Along a Straight Line Chp-02 1 Problem 2.9 from Serway & Jewett (Chap. 2, Problem 55, page 67) 2 Solution: total time = rock time down + sound up so t=tr+ts Equation for rock 12 12 yr = yi + vi t r gt r yr yi = gt r = h 0 = h 2 2 assume g
School: UCLA
Course: Physics 1a
Chapter 11 Equilibrium and Elasticity You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If needed Review Friday 15, From 0500pm to 0630 pm PAB 1425 Chapter 11 1 2 3 4 5 11.3 S
School: UCLA
Course: Physics 1a
Chapter 13 Gravitation IT'S TIME TO EVALUATE YOUR INSTRUCTORS! You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If you have not done so please fill out the online evaluations
School: UCLA
Course: Physics 1a
Chapter 13 Gravitation IT'S TIME TO EVALUATE YOUR INSTRUCTORS! You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4. If you have not done so please fill out the online evaluations
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion Chapter 10 1 10.4 Work and Power in Rotational Motion A rigid body rotates about an axis through O under the action of an external force F applied at P. The object rotates through an infinitesimal angle d about a f
School: UCLA
Course: Physics 1a
Chapter 11 Equilibrium and Elasticity You have until 8:00 AM Saturday, March 16 to log into MyUCLA to complete your evaluations for this course : PHYSICS 1A section 4.\ Chapter 11 1 Goals for Chapter 11 To study the conditions for equilibrium of a body
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion Chapter 10 1 We know use conservation of angular momentum Li = L f I i = 9.0kg.m 2 I f = 3.54kg.m 2 I ii = I f f i = 0.75rad / s f = 1.91rad / s 2 3 4 5 6 7 8 9 Example: Two blocks (m1 = 10.0 kg, m2 = 3.00 kg) are
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion In chapter 9, we have studied rotational motion analogs to translational motion in the areas of kinematics and energy. Let us now consider the analog to force by investigating the cause of changes in rotational mot
School: UCLA
Course: Physics 1a
Chapter 10 Dynamics of Rotational Motion In chapter 9, we have studied rotational motion analogs to translational motion in the areas of kinematics and energy. Let us now consider the analog to force by investigating the cause of changes in rotational mot
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 Example Two particles with masses m and 3m are moving toward each other along the x-axis with the same initial speeds vi. The particle with mass m is traveling to the left, and particle 3m is traveling
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 Momentum, Impulse, and Collisions Let us consider the following situation and see if we can solve it with the models we have developed so far: A 60-kg archer stands at rest on frictionless ice and fires
School: UCLA
Course: Physics 1a
Chapter 9 Rotation of Rigid Bodies For Midterm-2: Chapters: 5, 6, 7, and 8 Chapter 9 1 2 9.35. Identify and Set Up: I = mi ri2 I implies = I rim + Ispokes Execute: I rim = = kg)(0.300 m)2 = kg m 2 MR 2 (1.40 0.126 Each spoke can be treated as a slender ro
School: UCLA
Course: Physics 1a
Chapter 8 Momentum, Impulse, and Collisions Chp-08 1 The Center of Mass (system of many particles) We can extend the concept of center of mass to a system of many particles in three dimensions. xCM = M = mi i m x i i M i yCM ; yCM = m y i i M i ; zCM = m
School: UCLA
Course: Physics 1a
Chapter 7 Potential Energy and Energy Conservation Chp-07 1 2 Lec 17 Chap 7 3 7.3 Conservative and Non-conservative Forces A conservative force allows conversion between kinetic and potential energy. Gravity and the spring force are conservative. The wo
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Chapter 7 Potential Energy and Energy Conservation Chp-07 1 Gravitational Potential energy for motion along curved path To find the work done by the gravitational force during an arbitrarydisplacement , we divide the path into small segment s . s = x + y
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Chapter 6 Work and Kinetic Energy Midterm-2 will be Tuesday, February 26, 2013 4-4:50 p.m. Room: WGYOUNG CS50 Chp-06 1 6.5 Power The definition of work makes no reference to the passage of time. If you lift a box weighing 100N through a vertical distance
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Course: Physics 1a
Chapter 6 Work and Kinetic Energy Midterm-2 will be Tuesday, February 26, 2013 4-4:50 p.m. Room: WGYOUNG CS50 Chp-06 1 Introduction The simple methods weve learned using Newtons laws are inadequate when the forces are not constant. In this chapter, the
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Chapter 6 Work and Kinetic Energy Midterm-2 will be Tuesday, February 26, 2013 4-4:50 p.m. Room: WGYOUNG CS50 Chp-06 1 Work Done by a Spring Forces exerted by springs represent a prime example of forces varying with position. If the block is moved, thereb
School: UCLA
Course: Physics 1a
Review for Midterm 1 Physics 1A Winter 2013 Mostafa El Alaoui Covers Chapters 1 through 5 in Principles of Physics Young and Freedman: University Physics, Volume 1 Chapter 1 Units Use SI system of units, also known as the MKS system: Length [L] meters (m)
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Chapter 5 Applying Newtons Law Chp-05 1 Example 5.2 (from Serway and Jewett) a) How is the coefficient of static friction related to the critical angle c at which the block begins to move? b) How could we find the coefficient of kinetic friction? A block
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Chapter 5 Applying Newtons Law In this chapter we will first extend the applications of Newtons law to other situations and then we will introduce frictional forces and examine how they in conjunction with the constant forces already examined affect moti
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Course: Physics 1a
Chapter 5 Applying Newtons Law In this chapter we will first extend the applications of Newtons law to other situations and then we will introduce frictional forces and examine how they in conjunction with the constant forces already examined affect moti
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Course: Physics 1a
Chapter 4 Newtons Laws of Motion Chp-04 1 Problem 4.11 from University Physics, p. 129 Use Newtons second law in component form (Eq. 4.8) to calculate the acceleration produced by the force. Use constant acceleration equations to calculate the effect of t
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Chapter 4 Newtons Laws of Motion Chp-04 1 Chapter 4 Newtons Laws of Motion Introduction: Up until now our study of mechanics has been limited to the mathematical description of motion. We now introduce the concepts of force and mass. Mechanics is the bran
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Chapter 3 Motion in Two or Three Dimensions Chp-03 1 v1 v2 3.4 Uniform Circular Motion in the Horizontal Plane ac r2 r1 Although the particle moves with constant speed, v1 = v2 , it still has an acceleration, called the centripetal acceleration ac Uniform
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Chapter 2 Motion Along a Straight Line Chp-02 1 Problem 2.9 from Serway & Jewett (Chap. 2, Problem 55, page 67) 2 Solution: total time = rock time down + sound up so t=tr+ts Equation for rock 1 2 1 2 yr = yi + vi t r gt r yr yi = gt r = h 0 = h 2 2 assume
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Chapter 3 Motion in Two or Three Dimensions Chp-03 1 Projectile Motion cont. Plugging eqts (3.15), (3.16), (3.18), and (3.19) into the above equations and assume for simplicity that xo=yo=0 at t=0 x = v o cos o t y = v sin t 1 gt 2 o o 2 (3.20) (3.21) Ve
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Chapter 2 Motion Along a Straight Line Chp-02 1 2.4 Motion with Constant Acceleration For constant acceleration vx increases uniformally with time as time varies from 0 to t. Use eqt (2.4) and replace: v2 by vx, t2 by t, t1 by to, and aav-x by ax Use eqt
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Chapter 1 Units, Physical Quantities, and Vectors Chp-01 1 Goals for Chapter 1 To learn three fundamental quantities of physics and the units to measure them To keep track of significant figures in calculations To understand vectors and scalars and how
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Chapter 1 Units, Physical Quantities, and Vectors Lecture 2 Chp-01 1 1.5 Coordinate Systems Describing the position of an object, or the motion of an object in space requires specifying its location. In general, a coordinate system consists of 3 things: 1
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Chapter 2 Motion Along a Straight Line Chp-02 1 Motion Along A Straight Line (1-dimensional motion) Classical Mechanics deals with the relation of: Force Matter Motion Kinematics is the aspect of mechanics that describes motion while ignoring forces and m
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Chapter 9 Rotation of Rigid Bodies Mostafa El Alaoui Chp-09 A wind turbine, a CD, a ceiling fan, and a Ferris wheel all involve rotating rigid objects. All points in a rigid body rotate with the same angular velocity and same angular acceleration. Rotatio
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Chapter 5 Applying Newtons Laws Mostafa El Alaoui Chp-05 1 5.1 Using Newtons First Law: Particles in Equilibrium Particle in equilibrium Particle in equilibrium, component form 2 Problem 5.14 Page 169 University Physics 3 5.2 Using Newtons Second Law: Dyn
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Chapter 6 Work and Kinetic Energy Mostafa El Alaoui Chp-06 1 Introduction We now turn to quantities that are conserved in an isolated physical system: energy and momentum. We begin to consider energy in this chapter. When forces are not constant, solvin
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Chapter 7 Potential Energy and Energy Conservation Mostafa El Alaoui Chp-07 Gravitational Potential Energy Energy associated with position is called potential energy. Consider the weight force. Suppose a body with mass m moves vertically. The work done by
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Course: Physics 1A Mechanics
Lecture 33: Resonance Consider a circumstance where we add energy to a harmonic oscillator. Assume that we drive a system with a periodic external force of the form, Fext : Fext = F0 sin (f t) (1) where F0 is the amplitude of the driving force and f is it
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Course: Physics 1A Mechanics
Lecture 34: Dissipation in Harmonic Motion For a real harmonic oscillator, there are always loss terms as energy is dissipated into the surroundings. Often, one can approximate the loss as an eect on the speed so that if there is no driving force: d2 x dx
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Course: Physics 1A Mechanics
Lecture 25 The Origin of the Earths Internal Heat We consider a key question for understanding our planet: the origin of the Earths interior heat. 1 The Heat Flow from the Interior It is clear from volcanos and temperature gradients in deep mines and dril
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Lecture 32 The Pendulum: Extended Objects and Energy Considerations 1 Extended Objects Consider two elaborations of the simple pendulum. First consider a system more complicated than a bob at the end of a massless rod. Assume, instead, a pendulum where th
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Course: Physics 1A Mechanics
Lecture 26: Equation of Continuity Our goal is to describe the dynamics of uids an essential aspect of physics. In a uid, the mean free path of a particle is much less than the characteristic size of interest. We therefore do not follow individual particl
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Course: Physics 1A Mechanics
Lecture 24 Dark Matter There is strong evidence that there is a substantial amount of matter in the universe which exerts a gravitational force but does not emit much light. This material is called Dark Matter. One important line of evidence is provided b
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Course: Physics 1A Mechanics
Lecture 22 Planetary Interiors + Oscillations Previously, we showed that outside a spherical shell, the gravitational potential can be computed as if the entire mass is concentrated at the center of the shell. Inside the shell, the gravitational potential
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Course: Physics 1A Mechanics
Lecture 23 Black Holes and Gravitational Accretion 1 Black Holes A simple image of a black hole is an object of mass M where the escape velocity is greater than the speed of light, c. In this case, the radius, r, must be: r = 2GM c2 (1) Every mass has a S
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Lecture 29 Rotational Dynamics I We can now consider the dynamical evolution of rotating objects. One example is an isolated system whose total angular momentum, L, is conserved. We can write for the scaler quantities that L = I (1) where I is the moment
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Lecture 28 Moment of Inertia To compute the angular momentum and rotational energy of an extended object, we need to introduce the moment of inertia. For a point mass, M , in circular motion or radius, R, we write that the angular momentum, J is: J = M R2
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MIDTERM 2 PHYSICS 1A Name: Student ID N0.: Signature: Specify here if you want your exam returned privately: Each question is worth 25 points. The exam is Closed book; no notes or calculators. If necessary, use the back of the page. If you
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Course: Physics 1A Mechanics
Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Midterm #1 Solution Physics 1A - Dr. Mostafa El Alaoui Winter January 29, 2013 Name: Student I.D.# Signature: Please do the following 4 problems. Show all work and reasoning. U
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Physics 1A -Winter 2013 FINAL PRACTICE TEST - Friday, March 8, 2013 Notice that this is a practice exam only for the subjects not covered in the midterm exams. The actual nal exam on Friday March 22, from 11:30 and to 1:30 pm, will cover everything we hav
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Course: Physics 1a
Physics 1A -Winter 2013 2nd MIDTERM PRACTICE TEST - Thursday Feb. 15, 2013 The actual exam will be Thursday Feb. 21, 2013, during the usual lecture time 10:00 am to 10:50pm- The students whose family names starts with letters A to L will take the exam in
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Course: Physics 1a
11.67. I DE NT I F Y : The torques must balance since the person is not rotating. S E T U P : Figure 11.67a shows the distances and angles. + = 90. = 56.3 and= 33.7. The distances x1 and x2 are x1 (90 cm)cos 50.0 cm and x2 (135 cm)cos 112 cm. The free-bod
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10.12. I DE NT I F Y : Apply z = z to the wheel. The acceleration a of a point on the cord and the angular I acceleration of the wheel are related by a = R . S E T U P : Let the direction of rotation of the wheel be positive. The wheel has the shape of a
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Course: Physics 1a
9.49.I DE NT I F Y : With constant acceleration, we can use kinematics to find the speed of the falling object. Then we can apply the work-energy expression to the entire system and find the moment of inertia of the wheel. Finally, using its radius we can
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Course: Physics 1a
Student Registration In this course you will be using MasteringPhysics, an online tutorial and homework program. Note: If you have joined a MasteringPhysics course before with the same textbook, save time by following the guide for joining another course
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Midterm #2 Solution Physics 1A - Dr. Mostafa El Alaoui Winter February 26, 2013 Midterm #2 Solution Physics 1A - Dr. Mostafa El Alaoui Winter Tuesday February 26, 2013 Name: Student I.D.# Signature: Please do the following 4 problems. Show all work and re
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Math 32B Practice Midterm 2 Name: Looking over this practice midterm, I think the actually one will be a little harder, but in a similar spirit. Also #4 is a bit too similar to computations we did in class. 1. Let F = V be a conservative vector eld on a d
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Course: Physics 1A
Name: _ Class: _ Date: _ ID: A Conceptual Physics Circular Motion and Gravitation Practice Exam 2010-2011 Multiple Choice (1 point each) Identify the choice that best completes the statement or answers the question. _ 1. Which has more rotational inertia,
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Physics 1A FINAL 1) Consider the motion of the 3 kg block on the horizontal surface when acted upon by the force F = 10 N indicated. The coefficient of friction, u^, between the block and the horizontal surface is 0.20. If the 3kg mass starts from rest, h
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Physics 1A Spring 2015 Challenge Problem 20 Cars B and C are at rest with their breaks o. Car A plows into car B at high speed, pushing B into C. If the collisions are completely inelastic (i.e. the cars stick together) what fraction of the initial energy
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Physics 1A Spring 2015 Challenge Problem 18 A small cube of mass m slides down a circular path of radius R cut into a large block of mass M . The block of mass M rests on a table, and both the cube and the block move without friction and are initially at
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Physics 1A Spring 2015 Challenge Problem 19 A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/5 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of th
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Systematics of Force Problems 1. Identify the objects in the problem whose motions you are interested in. Newtons Laws will eventually be applied to each such object. Sometimes, youll need to consider more objects than just the ones whose motions you are
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Course: Physics 1a
Physics 1A Spring 2015 Challenge Problem 17 N women, each of mass m, stand on a railway atcar of mass M . They jump o one end of the atcar with velocity u relative to the car. The car rolls in the opposite direction without friction. (a) What is the nal v
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Physics 1A Spring 2015 Challenge Problem 15 A system is composed of two blocks of mass m1 and m2 connected by a massless spring with spring constant k. The blocks slide on a frictionless plane. The unstretched length of the spring is 0 . Initially, mass m
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Physics 1A Spring 2015 Challenge Problem 16 A freight car of mass M contains a mass of sand m. At t = 0, a constant, horizontal force of magnitude F starts being applied, and at the same time a port in the bottom is opened to let the sand ow out at a cons
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Physics 1A Spring 2015 Challenge Problem 14 This problem was designed for you to explore one of the simplest, most important, and most ubiquitous systems in all of physics: the classical harmonic oscillator. Consider a block of mass m sliding on a frictio
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Physics 1A Spring 2015 Challenge Problem 13 An instrument-carrying projectile accidentally explodes at the top of its trajectory. The horizontal distance between the launch point and the point of explosion is L. The projectile breaks into two pieces which
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Homework-06 Physics 1A Winter 2013 Mostafa El Alaoui Solution Homework-6 8.8.IDENTIFY: The change in momentum, the impulse and the average force are related by Eq. 8.9. SET UP: Let the direction in which the batted ball is traveling be the x direction, so
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Course: Physics 1A
Name _ Period _ Chapter 21 Temperature, Heat, and Expansion Worksheet #2 Instructions: Show all work, including given, unknown, equation and final answer. 1. What would be the final temperature of the mixture of 50 g of 20C water and 50 g of 40C water? 2.
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Chapter 15 Homework: 2,6,11,18,22,26,32,40,46,52,and 60.
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t A 7 'f A -? c? = 2- As 1 -> 3 c). -? T y jA o o p -, V f x ^ f 5n bs = \ ^To -f = 5 u f r r, L f\ -I B O B h 0 H
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Course: PHYSICS 1A
TV A n e -f <A a / p y 3 r Fov- -t^e P^Hfv HA r r =. r T = ^ T- D~b D D- t ~ D - >i C D _b \J * c- n r A- "^ r
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Course: PHYSICS 1A
5 3 - 1T^'H ' ,-*,. & *S IA V or.- - 0. 6 ~(5 t 5 of i4 fi) APf)y p, -t- -f p
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Course: Physics 1a
Extra Problems from Chapter 6, 7, and 8 6.33. I DE NT I F Y : The springs obey Hooks law and balance the downward force of gravity. S E T U P : Use coordinates with + y upward. Label the masses 1, 2, and 3 and call the amounts the springs are stretched x1
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Waves and Vibrations: Define and calculate: waves wavelength, period, frequency, and speed. Wave interference. Define evaporation, condensation, freezing and melting. 1. Explain some applications regarding changes between phases. 2. Identify the different
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Course: Physics 1a
Physics 1A Spring 2015 Wednesday, March - Friday, June 12 Lectures: MWRF, 4:00 PM - 5:00 PM, PAB 1425 Instructor Josh Samani jsamani@physics.ucla.edu Oce: PAB 1-707L Teaching Assistants Albert Brown anbrown@physics.ucla.edu Oce: PAB 1-704A Jonathan Kernes
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PHYSICS 1A Physics for Scientists and Engineers: Mechanics Winter 2013 Lecture 4 Instructor: Dr. Mostafa El Alaoui Office: 3854 Slichter Hall E-mail: mostafa@igpp.ucla.edu Discussion T.A.: Li, Yi e-mail: yli@physics.ucla.edu Textbook : Young and Freedm
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1 Lecture 4 Syllabus Winter 2014 Physics 1A - Physics for Scientists and Engineers: Mechanics Enforced requisites: Mathematics 31A, 31B. Enforced corequisite: Mathematics 32A. Recommended corequisite: Mathematics 32B. Mostafa El Alaoui Office: 3854 Slicht
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Physics 1A: Winter 2012 Lecture Meets: MTWF Instructor: Oce: Phone: Oce Hours: Dr. Brent Corbin PAB 1-707M 267-4686 TBA Text: University Physics, Vol 1 2:00 - 2:50 PM Exam Schedule: Friday, 3 February 2012 2:00-2:50 pm Friday, 2 March 2012 2:00-2:50 pm Mo