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CHAPTER 7 Conservation of Energy 1* What are the advantages and disadvantages of using the conservation of mechanical energy rather than Newtons laws to solve problems? Generally simpler, involving only scalars; cannot obtain some details, e.g., trajectories. 2 Two objects of unequal mass are connected by a massless cord passing over a frictionless peg. After the objects are released from rest, which of the following statements are true? ( U = gravitational potential energy, K = kinetic energy of the system.) ( a ) U < 0 and K > 0 ( b ) U = 0 and K > 0 ( c ) U < 0 and K = 0 ( d ) U = 0 and K = 0 ( e ) U > 0 and K < 0 ( a ) 3 Two stones are thrown with the same initial speed at the same instant from the roof of a building. One stone is thrown at an angle of 30 o above the horizontal, the other is thrown horizontally. (Neglect air resistance.) Which statement is true? ( a ) The stones strike the ground at the same time and with equal speeds. ( b ) The stones strike the ground at the same time with different speeds. ( c )The stones strike the ground at different times with equal speeds. ( d ) The stones strike the ground at different times with different speeds. ( c ) Their kinetic energies are equal. 4 A block of mass m is pushed up against a spring, compressing it a distance x , and the block is then released. The spring projects the block along a frictionless horizontal surface, giving the block a speed v . The same spring projects a second block of mass 4 m , giving it a speed of 3 v . What distance was the spring compressed in the second case? K 1 = 1/2 mv 2 = 1/2 kx 2 ; mv 2 = kx 1 2 ; kx 2 2 = (4 m )(3 v ) 2 = 36 mv 2 = 36 kx 1 2 ; x 2 = 6 x 1 . 5* A woman on a bicycle traveling at 10 m/s on a horizontal road stops pedaling as she starts up a hill inclined at 3.0 o to the horizontal. Ignoring friction forces, how far up the hill will she travel before stopping? ( a ) 5.1 m ( b ) 30 m ( c ) 97 m ( d ) 10.2 m ( e ) The answer depends on the mass of the woman. ( c ) h = v 2 /2 g = 50/9.81 m = 5.1 m; d = (5.1/sin 3.0 o ) m = 97.4 m. 6 A pendulum of length L with a bob of mass m is pulled aside until the bob is a distance L /4 above its equilibrium position. The bob is then released. Find the speed of the bob as it passes the equilibrium position. 1/2 mv 2 = mg h ; h = L /4; v = ( gL /2) 1/2 . 7 When she hosts a garden party, Julie likes to launch bagels to her guests with a spring device that she has devised. She places one of her 200-g bagels against a horizontal spring mounted on her gazebo. The force constant of the spring Chapter 7 Conservation of Energy is 300 N/m, and she compresses it 9 cm. ( a ) Find the work done by Julie and the spring when Julie launches a bagel.

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Maryland - PHYS - 260

Lecture 19 Interaction of 2 systems at differenttemperatures Irreversible processes: 2nd Law ofThermodynamicsThermal interactions T's change via collisions at boundary (not mechanicalinteraction) elastic collision (total energy conserved)

Maryland - PHYS - 161,260,27

CHAPTER19Heat and the First Law of Thermodynamics1* Body A has twice the mass and twice the specific heat of body B. If they are supplied with equal amounts of heat, CA = 4CB; TA = TB/4how do the subsequent changes in their temperatures com

Maryland - PHYS - 260

Lecture 8 Sinusoidal waves Wave speed on a string 2D/3D waves Sound and LightSinusoidal waves (graphical) generated by source in SHM snapshot and history graphs sinusoidal/periodic in space, time Wavelength (): spatial analog of T, distance

Maryland - PHYS - 260

Lecture 10 this week:superposition (combination of 2 or more waves) applications to lasers, musical instruments. today:basic principle standing waves (2 waves traveling in opposite direction) Principle of SuperpositionTwo particles can't o

Maryland - PHYS - 260

Lecture 22 Maximum efficiency for a perfectlyreversible engine conditions for perfectly reversible engine efficiency for Carnot cycleWhat's most efficient heat engine/refrigerator operating between hot and cold reservoirs at temperatures TC

Maryland - PHYS - 260

Lecture 11: Interference superposition of waves in same directiongraphical and mathematical phase and path-length difference application to thin films in 2/3 D standing waves: superposition of waves traveling in opposite direction (not a tra

Maryland - PHYS - 260

Lecture 23 limits on efficiency, calculate efficiency ofCarnot cycle Electricity: chapters 25-31Proof by Contradiction: I want to prove statement "A" is not true assume A is true, find a violation of basic law assumption is incorrect, A is

Maryland - PHYS - 260

Lecture 7 Traveling Waves (I) particles (localized, individual, discrete) andwave (collective, continuous): two fundamental models of physics This week: (single) traveling waves (gooutward from source thru' medium), e.g. ripples on water, wave

Maryland - MATH - 240

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Maryland - MATH - 240

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Maryland - MATH - 240

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Maryland - PHYS - 261

David O'Brien Prelab #2t l m w2. tx = mgsin( ) ty = mgcos( ) Fx = tx = (mgsin( )*l 3. (sin( )- )/ .01 = 0% .1 = .1% .2 = .1% .3 =1.5% .4 = 2.6% .5 = 4.1% .6 = 5.9% .7 = 8.0% .8 = 10.3% .9 = 13.0% 1.0 = 15.9% 1.1= 19.0% 1.2 = 22.3% 1.3 = 25.9% 1.

Maryland - PHYS - 261

David O'Brien Prelab 7 1) pv = nRT => n = pv/RT n = (1.013x10^5)(100cm^3)/(300*8.3145) = 4061 moles 2) p1v1 = p2v2 20(30) = 10*p2 p2=60lbs/in2 3) Anytime the temperature drops below freezing.

Columbia - IEOR - 4106

IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2004, Professor Whitt, Final Exam Chapters 4-7 and 10 in Ross, Tuesday, May 11, 9:00am-12:00noon Open Book: but only the Ross textbook plus three 8 11 pages of notesJustify yo

Maryland - GEOG - 202

Essay: 1.2. 3.Briefly discuss what geographers mean by the site and situation of a place "or" its absolute and relative location. a. Site is related to absolute location, whereas situation is related to relative location. Site deals with the inte

Maryland - MATH - 241

Maryland - MATH - 241

Maryland - MATH - 241

Maryland - MATH - 241

Maryland - MATH - 241

Maryland - MATH - 241

Maryland - PHYS - 260

Lecture 13 Temperature scales, absolute zero Phase changes, equilibrium, diagram Ideal gas model temperature is related to system's thermal energy(kinetic and potential energy of atoms)Temperature measured by thermometer: small system under

Maryland - ENES - 220

Problem H.02: The rigid bar ABCD shown below is supported by four identical, equally spaced wires. Find the tension in each of the wires in terms of the applied load P. Assume P and L are known quantities.Problem 4.47:Problem 4.48:Problem 4.49:

Maryland - ENES - 220

Problem 13.15:Problem 13.20:Problem 13.20: (con't)Problem 13.23:Problem 13.28:Problem 13.31:Problem 13.34:Problem 13.37:Problem 13.38:

Maryland - ENES - 220

Problem 11.13:Problem 11.14:Problem 11.15:Problem 11.20:Problem H.03:Problem H.04:Problem H.05:Problem H.06:

Maryland - ENES - 220

Problem 13.43:Problem 13.44:Problem 13.49:Problem 13.49: (con't)Problem 13.52:Problem 12.1(a):Problem 12.2(b):Problem 12.3:--Problem 5.18:

Maryland - MATH - 240

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Maryland - ENES - 220

Problem 10.22:-Problem 10.23:Problem 10.24:Problem 10.26:Problem H.13:Problem H.14:Problem H.14: (con't.)Problem 13.6(b):Problem 13.14:

Maryland - ENES - 220

Problem 12.4(a):Problem 12.5:Problem 12.6:Problem 12.7(a):Problem 12.8:Problem 12.9:Problem 12.10:Problem 12.12:Problem 12.13:Problem 12.14:Problem H.15:Problem H.16:

Maryland - ENES - 220

Problem 14.2:-Problem 14.4:Problem 14.8:Problem 14.12:Problem 14.15:Problem 14.17:Problem 14.18:Problem 14.21:

Maryland - MATH - 240

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Maryland - ENES - 220

Problem H.07:Problem H.08:Problem H.09:Problem H.10:Problem H.11:Problem H.11: (con't.)Problem H.12:Problem 10.28:Problem 10.30:Problem 10.31:Problem 10.32:Problem 10.35:Problem 10.36:

Maryland - ENES - 220

Problem 12.29 & 30:Problem 12.29 & 30: (con't)Problem 12.31:Problem 12.31: (con't)Problem 12.32:Problem 12.33:Problem 12.34:Problem 12.34: (con't)Problem 12.35:Problem 12.36:Problem 12.36: (con't)

Maryland - ENES - 220

Problem 5.19:-Problem 5.22:Problem 5.24:Problem 5.26:Problem 4.36:--Problem 11.18:Problem 10.44:Problem 10.45:

Maryland - MATH - 240

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Maryland - PHYS - 161,260,27

CHAPTER5Applications of Newton's Laws1* Various objects lie on the floor of a truck moving along a horizontal road. If the truck accelerates, what force acts on the objects to cause them to accelerate? Force of friction between the objects and

Maryland - PHYS - 161,260,27

CHAPTER6Work and Energy1* True or false: (a) Only the net force acting on an object can do work. (b) No work is done on a particle that remains at rest. (c) A force that is always perpendicular to the velocity of a particle never does work on

Maryland - PHYS - 161,260,27

CHAPTER Alternating-Current Circuits31Note: Unless otherwise indicated, the symbols I, V, E, and P denote the rms values of I, V, and E and the average power. 2 1* A 200-turn coil has an area of 4 cm and rotates in a magnetic field of 0.5 T. (a)

Maryland - PHYS - 161,260,27

CHAPTER9Rotation1* Two points are on a disk turning at constant angular velocity, one point on the rim and the other halfway between the rim and the axis. Which point moves the greater distance in a given time? Which turns through the greater

Maryland - PHYS - 161,260,27

CHAPTER10Conservation of Angular Momentum1* True or false: (a) If two vectors are parallel, their cross product must be zero. (b) When a disk rotates about its symmetry axis, is along the axis. (c) The torque exerted by a force is always perp

Maryland - PHYS - 161,260,27

CHAPTER18Temperature and the Kinetic Theory of Gases1* True or false:(a) Two objects in thermal equilibrium with each other must be in thermal equilibrium with a third object. (b) The Fahrenheit and Celsius temperature scales differ only in t

Maryland - PHYS - 161,260,27

CHAPTER Properties of Light331* Why is helium needed in a heliumneon laser? Why not just use neon? The population inversion between the state E2,Ne and the state 1.96 eV below it (see Figure 33-9) is achieved by inelastic collisions between neon

Maryland - PHYS - 161,260,27

CHAPTER8Systems of Particles and Conservation of Momentum1* Give an example of a three-dimensional object that has no mass at its center of mass. A hollow sphere. 2 Three point masses of 2 kg each are located on the x axis at the origin, x =

Maryland - PHYS - 161,260,27

CHAPTER20The Second Law of Thermodynamics1* Where does the energy come from in an internal-combustion engine? In a steam engine? steam.Internal combustion engine: From the heat of combustion (see Problems 19-106 to 19-109). Steam engine: Fr

Maryland - PHYS - 161,260,27

CHAPTER12Static Equilibrium and Elasticity1* True or false: (a) F = 0 is sufficient for static equilibrium to exist. (b) F = 0 is necessary for static equilibrium to exist. (c) In static equilibrium, the net torque about any point is zero. (

Maryland - PHYS - 161,260,27

CHAPTER2Motion in One Dimension1* What is the approximate average velocity of the race cars during the Indianapolis 500?Since the cars go around a closed circuit and return nearly to the starting point, the displacement is nearly zero, and

Maryland - PHYS - 161,260,27

CHAPTER1Systems of Measurement1* Which of the following is not one of the fundamental physical quantities in the SI system?(a) mass (b) length (c) force (d) time (e) All of the above are fundamental physical quantities. (c) Force is not a f

Maryland - PHYS - 161,260,27

CHAPTER11Gravity1* True or false: (a) Kepler's law of equal areas implies that gravity varies inversely with the square of the distance. (b) The planet closest to the sun, on the average, has the shortest period of revolution about the sun. (a

Maryland - PHYS - 161,260,27

CHAPTER Maxwell's Equations and Electromagnetic Waves321* A parallel-plate capacitor in air has circular plates of radius 2.3 cm separated by 1.1 mm. Charge is flowing onto the upper plate and off the lower plate at a rate of 5 A. (a) Find the t

Maryland - PHYS - 161,260,27

CHAPTER24Electric Potential1* A uniform electric field of 2 kN/C is in the x direction. A positive point charge Q = 3 C is released fromrest at the origin. (a) What is the potential difference V(4 m) V(0)? (b) What is the change in the pot

Maryland - PHYS - 161,260,27

CHAPTER22The Electric Field I: Discrete Charge Distributions1* If the sign convention for charge were changed so that the charge on the electron were positive and the charge on the proton were negative, would Coulomb's law still be written the

Maryland - PHYS - 161,260,27

CHAPTER23The Electric Field II: Continuous Charge Distributions1* A uniform line charge of linear charge density = 3.5 nC/m extends from x = 0 to x = 5 m. (a) What is the total charge? Find the electric field on the x axis at (b) x = 6 m, (c)

Maryland - PHYS - 161,260,27

CHAPTER27The Microscopic Theory of Electrical Conduction1* In the classical model of conduction, the electron loses energy on average in a collision because it loses the drift velocity it had picked up since the last collision. Where does this

Maryland - PHYS - 161,260,27

CHAPTER4Newton's LawsNote: For all problems we shall take the upward direction as positive unless otherwise stated. 1* 2 How can you tell if a particular reference frame is an inertial reference frame? Suppose you find that an object in a par

Maryland - PHYS - 161,260,27

CHAPTER The Magnetic Field281* When a cathode-ray tube is placed horizontally in a magnetic field that is directed vertically upward, the electrons emitted from the cathode follow one of the dashed paths to the face of the tube in Figure 28-30.

Maryland - PHYS - 161,260,27

CHAPTER3Motion in Two and Three Dimensions1* Can the magnitude of the displacement of a particle be less than the distance traveled by the particle along its path? Can its magnitude be more than the distance traveled? Explain. The magnitude of

Maryland - PHYS - 161,260,27

CHAPTER25Electrostatic Energy and Capacitance1* Three point charges are on the x axis: q1 at the origin, q2 at x = 3 m, and q3 at x = 6 m. Find the electrostatic potential energy for (a) q1 = q2 = q3 = 2 C, (b) q1 = q2 = 2 C and q3 = 2 C, and

Maryland - PHYS - 161,260,27

CHAPTER26Electric Current and Direct-Current Circuits1* In our study of electrostatics, we concluded that there is no electric field within a conductor in electrostatic equilibrium. How is it that we can now discuss electric fields inside a co

Maryland - PHYS - 161,260,27

CHAPTER Sources of the Magnetic Field291* Compare the directions of the electric and magnetic forces between two positive charges, which move along parallel paths (a) in the same direction, and (b) in opposite directions. (a) The electric forces

Maryland - ENME - 400

% ENME400 HW 3 d1=40;E1=25;v1=.45;d2=5.5;E2=200;v2=.3; Pmax=250; %A% % syms F a=(3/8)^(1/3)*(1-.3^2)/200E9+(1-.45^2)/25E9)/(1/.0055+1/.04)^(1/3)*F^(1/3) % a = 5966547068436287/147573952589676412928*F^(1/3) P=(3/(2*pi)*F/a^2 % P = 10398263182555662570

Maryland - PHYS - 261

David O'Brien Section : 0106 Experiment #1 1. f=a-b df/da = 1 and df/db = 1 f = [(df/da*a)2 + (df/db*b)2]1/2 = sqrt(.52 + .52)=.7071 error = .2 +/- .7071 f = [1*(.5/11.5)2 + 1*(.5/11.3)2]1/2 = .0631 11.5/11.3 = 1.018 1.018 +/- .0631 2. (11.0+11.4+1