Question 1

A spring stretches by 21.0 cm when a 135 N object is attached. What is the weight of a fish that would stretch the spring by 31 cm?

Accepted Answer

A)  199 N 
B)  91.0 N 
C)  145 N 
D)  279 N 
A)  199 N 
B)  91.0 N 
C)  145 N 
D)  279 N A

Question 2

Jacques and George meet in the middle of a lake while paddling in their canoes. They come to a complete stop and talk for a while. When they are ready to leave, Jacques pushes George's canoe with a force   to separate the two canoes. What is correct to say about the final momentum and kinetic energy of the system if we can neglect any resistance due to the water?

Accepted Answer

A)  The final momentum is in the direction of   but the final kinetic energy is zero. 
B)  The final momentum is in the direction opposite of   but the final kinetic energy is zero. 
C)  The final momentum is in the direction of   and the final kinetic energy is positive. 
D)  The final momentum is zero and the final kinetic energy is zero. 
E)  The final momentum is zero but the final kinetic energy is positive. 
A)  The final momentum is in the direction of   but the final kinetic energy is zero. 
B)  The final momentum is in the direction opposite of   but the final kinetic energy is zero. 
C)  The final momentum is in the direction of   and the final kinetic energy is positive. 
D)  The final momentum is zero and the final kinetic energy is zero. 
E)  The final momentum is zero but the final kinetic energy is positive. B

Question 3

A baseball is thrown vertically upward and feels no air resistance. As it is rising

Accepted Answer

A)  both its momentum and its mechanical energy are conserved. 
B)  its momentum is not conserved, but its mechanical energy is conserved. 
C)  both its momentum and its kinetic energy are conserved. 
D)  its kinetic energy is conserved, but its momentum is not conserved. 
E)  its gravitational potential energy is not conserved, buts its momentum is conserved. 
A)  both its momentum and its mechanical energy are conserved. 
B)  its momentum is not conserved, but its mechanical energy is conserved. 
C)  both its momentum and its kinetic energy are conserved. 
D)  its kinetic energy is conserved, but its momentum is not conserved. 
E)  its gravitational potential energy is not conserved, buts its momentum is conserved. B

Question 4

A 2.3-kg object traveling at 6.1 m/s collides head-on with a 3.5-kg object traveling in the opposite direction at 4.8 m/s. If the collision is perfectly elastic, what is the final speed of the 2.3-kg object?

Accepted Answer

A)  0.48 m/s 
B)  7.1 m/s 
C)  3.8 m/s 
D)  4.3 m/s 
E)  6.6 m/s 
A)  0.48 m/s 
B)  7.1 m/s 
C)  3.8 m/s 
D)  4.3 m/s 
E)  6.6 m/s

Question 5

In an INELASTIC collision between two objects

Accepted Answer

A)  the momentum of each object is conserved. 
B)  the kinetic energy of each object is conserved. 
C)  the momentum of the system is conserved but the kinetic energy of the system is not conserved. 
D)  both the momentum and the kinetic energy of the system are conserved. 
E)  the kinetic energy of the system is conserved, but the momentum of the system is not conserved. 
A)  the momentum of each object is conserved. 
B)  the kinetic energy of each object is conserved. 
C)  the momentum of the system is conserved but the kinetic energy of the system is not conserved. 
D)  both the momentum and the kinetic energy of the system are conserved. 
E)  the kinetic energy of the system is conserved, but the momentum of the system is not conserved.

Question 6

In a perfectly ELASTIC collision between two perfectly rigid objects

Accepted Answer

A)  the momentum of each object is conserved. 
B)  the kinetic energy of each object is conserved. 
C)  the momentum of the system is conserved but the kinetic energy of the system is not conserved. 
D)  both the momentum and the kinetic energy of the system are conserved. 
E)  the kinetic energy of the system is conserved, but the momentum of the system is not conserved. 
A)  the momentum of each object is conserved. 
B)  the kinetic energy of each object is conserved. 
C)  the momentum of the system is conserved but the kinetic energy of the system is not conserved. 
D)  both the momentum and the kinetic energy of the system are conserved. 
E)  the kinetic energy of the system is conserved, but the momentum of the system is not conserved.

Question 7

The coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. For an object with a coefficient of 0.78, what fraction of the object's kinetic energy is lost during a single collision?

Accepted Answer

A)  39% 
B)  16% 
C)  47% 
D)  61% 
A)  39% 
B)  16% 
C)  47% 
D)  61%

Question 8

A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the speed of the initially stationary billiard ball after the collision?

Accepted Answer

A)  2.00 m/s 
B)  0.866 m/s 
C)  1.50 m/s 
D)  2.59 m/s 
E)  0.750 m/s 
A)  2.00 m/s 
B)  0.866 m/s 
C)  1.50 m/s 
D)  2.59 m/s 
E)  0.750 m/s

Question 9

How much energy is needed to change the speed of a 1600 kg sport utility vehicle from 15.0 m/s to 40.0 m/s?

Accepted Answer

A)  1.10 MJ 
B)  10.0 kJ 
C)  20.0 kJ 
D)  40.0 kJ 
E)  0.960 MJ 
A)  1.10 MJ 
B)  10.0 kJ 
C)  20.0 kJ 
D)  40.0 kJ 
E)  0.960 MJ

Question 10

A 620-g object traveling at 2.1 m/s collides head-on with a 320-g object traveling in the opposite direction at 3.8 m/s. If the collision is perfectly elastic, what is the change in the kinetic energy of the 620-g object?

Accepted Answer

A)  It loses 0.23 J. 
B)  It gains 0.69 J. 
C)  It loses 0.47 J. 
D)  It loses 1.4 J. 
E)  It doesn't lose any kinetic energy because the collision is elastic. 
A)  It loses 0.23 J. 
B)  It gains 0.69 J. 
C)  It loses 0.47 J. 
D)  It loses 1.4 J. 
E)  It doesn't lose any kinetic energy because the collision is elastic.

Question 11

Which of the graphs in the figure illustrates Hooke's Law?

Accepted Answer

A)  Graph a 
B)  Graph b 
C)  Graph c 
D)  graph d 
A)  Graph a 
B)  Graph b 
C)  Graph c 
D)  graph d

Question 12

A force on a particle depends on position such that F(x) = (3.00 N/m2)x2 + (6.00 N/m)x for a particle constrained to move along the x-axis. What work is done by this force on a particle that moves from
X = 0.00 m to x = 2.00 m?

Accepted Answer

A)  10.0 J 
B)  20.0 J 
C)  -48.0 J 
D)  24.0 J 
E)  48.0 J 
A)  10.0 J 
B)  20.0 J 
C)  -48.0 J 
D)  24.0 J 
E)  48.0 J

Question 13

A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. In the figure, the energy released by the explosion is closest to

Accepted Answer

A)  0.20 J. 
B)  0.24 J. 
C)  0.28 J. 
D)  0.32 J. 
E)  0.36 J. 
A)  0.20 J. 
B)  0.24 J. 
C)  0.28 J. 
D)  0.32 J. 
E)  0.36 J.

Question 14

On a frictionless horizontal table, two blocks (A of mass 2.00 kg and B of mass 3.00 kg) are pressed together against an ideal massless spring that stores 75.0 J of elastic potential energy. The blocks are not attached to the spring and are free to move free of it once they are released from rest. The maximum speed achieved by each block is closest to:

Accepted Answer

A)  6.71 m/s (
A) , 4.47 m/s (
B)  
B)  4.47 m/s (
A) , 6.71 m/s (
B)  
C)  5.48 m/s for both 
D)  6.12 m/s (
A) , 5.00 m/s (
B)  
E)  5.00 m/s (
A) , 6.12 m/s (
B)  
A)  6.71 m/s (
A) , 4.47 m/s (
B)  
B)  4.47 m/s (
A) , 6.71 m/s (
B)  
C)  5.48 m/s for both 
D)  6.12 m/s (
A) , 5.00 m/s (
B)  
E)  5.00 m/s (
A) , 6.12 m/s (
B)

Question 15

A shell explodes into two fragments, one fragment 25 times heavier than the other. If any gas from the explosion has negligible mass, then

Accepted Answer

A)  the momentum change of the lighter fragment is 25 times as great as the momentum change of the heavier fragment. 
B)  the momentum change of the heavier fragment is 25 times as great as the momentum change of the lighter fragment. 
C)  the momentum change of the lighter fragment is exactly the same as the momentum change of the heavier fragment. 
D)  the kinetic energy change of the heavier fragment is 25 times as great as the kinetic energy change of the lighter fragment. 
E)  the kinetic energy change of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragment. 
A)  the momentum change of the lighter fragment is 25 times as great as the momentum change of the heavier fragment. 
B)  the momentum change of the heavier fragment is 25 times as great as the momentum change of the lighter fragment. 
C)  the momentum change of the lighter fragment is exactly the same as the momentum change of the heavier fragment. 
D)  the kinetic energy change of the heavier fragment is 25 times as great as the kinetic energy change of the lighter fragment. 
E)  the kinetic energy change of the lighter fragment is 25 times as great as the kinetic energy change of the heavier fragment.

Question 16

A car of mass 1689 kg collides head-on with a parked truck of mass 2000 kg. Spring mounted bumpers ensure that the collision is essentially elastic. If the velocity of the truck is 17 km/h (in the same direction as the car's initial velocity) after the collision, what was the initial speed of the car?

Accepted Answer

A)  19 km/h 
B)  38 km/h 
C)  29 km/h 
D)  10 km/h 
A)  19 km/h 
B)  38 km/h 
C)  29 km/h 
D)  10 km/h

Question 17

It requires 49 J of work to stretch an ideal very light spring from a length of 1.4 m to a length of 2.9 m. What is the value of the spring constant of this spring?

Accepted Answer

A)  15 N/m 
B)  44 N/m 
C)  29 N/m 
D)  22 N/m 
A)  15 N/m 
B)  44 N/m 
C)  29 N/m 
D)  22 N/m

Question 18

A force F = bx3 acts in the x direction, where the value of b is 3.7 N/m3. How much work is done by this force in moving an object from x = 0.00 m to x = 2.6 m?

Accepted Answer

A)  42 J 
B)  13 J 
C)  50 J 
D)  57 J 
A)  42 J 
B)  13 J 
C)  50 J 
D)  57 J

Question 19

A 5.00-kg ball is hanging from a long but very light flexible wire when it is struck by a 1.50-kg stone traveling horizontally to the right at 12.0 m/s. The stone rebounds to the left with a speed of 8.50 m/s, and the ball swings to a maximum height h above its original level. The value of h is closest to

Accepted Answer

A)  0.0563 m. 
B)  1.10 m. 
C)  1.93 m. 
D)  2.20 m. 
E)  3.69 m. 
A)  0.0563 m. 
B)  1.10 m. 
C)  1.93 m. 
D)  2.20 m. 
E)  3.69 m.

Question 20

An 8.0-g bullet is shot into a 4.0-kg block, at rest on a frictionless horizontal surface (see the figure). The bullet remains lodged in the block. The block moves into an ideal massless spring and compresses it by 8.7 cm. The spring constant of the spring is 2400 N/m. The initial velocity of the bullet is closest to

Accepted Answer

A)  1100 m/s. 
B)  1200 m/s. 
C)  900 m/s. 
D)  1300 m/s. 
E)  1000 m/s. 
A)  1100 m/s. 
B)  1200 m/s. 
C)  900 m/s. 
D)  1300 m/s. 
E)  1000 m/s.

Exam 10: Energy

A spring stretches by 21.0 cm when a 135 N object is attached. What is the weight of a fish that would stretch the spring by 31 cm?

A baseball is thrown vertically upward and feels no air resistance. As it is rising

A 2.3-kg object traveling at 6.1 m/s collides head-on with a 3.5-kg object traveling in the opposite direction at 4.8 m/s. If the collision is perfectly elastic, what is the final speed of the 2.3-kg object?

In an INELASTIC collision between two objects

In a perfectly ELASTIC collision between two perfectly rigid objects

The coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. For an object with a coefficient of 0.78, what fraction of the object's kinetic energy is lost during a single collision?

A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the speed of the initially stationary billiard ball after the collision?

How much energy is needed to change the speed of a 1600 kg sport utility vehicle from 15.0 m/s to 40.0 m/s?

A 620-g object traveling at 2.1 m/s collides head-on with a 320-g object traveling in the opposite direction at 3.8 m/s. If the collision is perfectly elastic, what is the change in the kinetic energy of the 620-g object?

Which of the graphs in the figure illustrates Hooke's Law?

A force on a particle depends on position such that F(x) = (3.00 N/m2)x2 + (6.00 N/m)x for a particle constrained to move along the x-axis. What work is done by this force on a particle that moves from X = 0.00 m to x = 2.00 m?

A shell explodes into two fragments, one fragment 25 times heavier than the other. If any gas from the explosion has negligible mass, then

It requires 49 J of work to stretch an ideal very light spring from a length of 1.4 m to a length of 2.9 m. What is the value of the spring constant of this spring?

A force F = bx3 acts in the x direction, where the value of b is 3.7 N/m3. How much work is done by this force in moving an object from x = 0.00 m to x = 2.6 m?

Concepts of Motion

Kinematics in One Dimension

Vectors and Coordinate Systems

Kinematics in Two Dimensions

Force and Motion

Dynamics I: Motion Along a Line

Newtons Third Law

Dynamics Ii: Motion in a Plane

Impulse and Momentum

Work

Rotation of a Rigid Body

Newtons Theory of Gravity

Oscillations

Fluids and Elasticity

A Macroscopic Description of Matter

Work, Heat, and the First Law of Thermodynamics

The Micromacro Connection

Heat Engines and Refrigerators

Traveling Waves

Superpositions

Wave Optics

Ray Optics

Optical Instruments

Electric Charges and Forces

The Electric Field

Gausss Law

The Electric Potential

Potential and Field

Current and Resistance

Fundamentals of Circuits

The Magnetic Field

Electromagnetic Induction

Electromagnetic Fields and Waves

Ac Circuits

Relativity

The Foundations of Modern Physics

Quantization

Wave Functions and Uncertainty

One-Dimensional Quantum Mechanics

Atomic Physics

Nuclear Physics

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A force on a particle depends on position such that F(x) = (3.00 N/m²)x² + (6.00 N/m)x for a particle constrained to move along the x-axis. What work is done by this force on a particle that moves from X = 0.00 m to x = 2.00 m?

A force F = bx³ acts in the x direction, where the value of b is 3.7 N/m³. How much work is done by this force in moving an object from x = 0.00 m to x = 2.6 m?