Question 1

A 75.0 kg skier, starting from rest, slides down a 75.0 m high slope without friction. The velocity of the skier at the bottom of the slope is

Accepted Answer

A)  20.6 m/s. 
B)  29.7 m/s. 
C)  38.3 m/s. 
D)  40.5 m/s. 
E)  50.0 m/s. 
A)  20.6 m/s. 
B)  29.7 m/s. 
C)  38.3 m/s. 
D)  40.5 m/s. 
E)  50.0 m/s.

Question 2

The graph shows the force on an object as it moves a distance x. What is the work done by the force as the object moves from 2.0 m to 8.0 m?

Accepted Answer

A)  35 J 
B)  48 J 
C)  50 J 
D)  52 J 
E)  60 J 
A)  35 J 
B)  48 J 
C)  50 J 
D)  52 J 
E)  60 J

Question 3

A spring with a spring constant of 8.0 N/m is compressed to 20 cm. If the spring was uncompressed initially, then the work done (by the compressing force) is

Accepted Answer

A)  0.12 J. 
B)  0.16 J. 
C)  0.19 J. 
D)  0.22 J. 
E)  0.26 J. 
A)  0.12 J. 
B)  0.16 J. 
C)  0.19 J. 
D)  0.22 J. 
E)  0.26 J.

Question 4

A 2000 kg car accelerates from rest to a velocity of 20 m/s in 10 seconds. The average power of the engine during this acceleration is

Accepted Answer

A)  50 kW. 
B)  40 kW. 
C)  30 kW. 
D)  20 kW. 
E)  10 kW. 
A)  50 kW. 
B)  40 kW. 
C)  30 kW. 
D)  20 kW. 
E)  10 kW.

Question 5

A ski lift carries passengers up a 150 m high slope at the rate of one chair every 30.0 seconds. If the chair will hold two passengers with a combined total mass of 190 kg, then the power output of the engine that powers the ski lift is

Accepted Answer

A)  6.96 kW. 
B)  7.83 kW. 
C)  8.75 kW. 
D)  9.31 kW. 
E)  9.90 kW. 
A)  6.96 kW. 
B)  7.83 kW. 
C)  8.75 kW. 
D)  9.31 kW. 
E)  9.90 kW.

Question 6

The most fundamental forms of energy are

Accepted Answer

A)  elastic, gravitational, internal. 
B)  kinetic, potential, rest. 
C)  electromagnetic, chemical, nuclear. 
D)  translational, rotational, vibrational. 
A)  elastic, gravitational, internal. 
B)  kinetic, potential, rest. 
C)  electromagnetic, chemical, nuclear. 
D)  translational, rotational, vibrational.

Question 7

A 2.00 kg pendulum bob on a string 2.00 m long, is released with a velocity of 1.50 m/s when the support string makes an angle of 30.0 degrees with the vertical. What is the tangential acceleration of the bob at the highest point of its motion?

Accepted Answer

A)  5.33 m/s2 
B)  5.77 m/s2 
C)  6.25 m/s2 
D)  7.00 m/s2 
E)  7.25 m/s2 
A)  5.33 m/s2 
B)  5.77 m/s2 
C)  6.25 m/s2 
D)  7.00 m/s2 
E)  7.25 m/s2

Question 8

The explosion in a cannon exerts an average force of 30,000 N for 2.00 meters. The velocity of a 2.00 kg projectile shot from the cannon is

Accepted Answer

A)  198 m/s. 
B)  245 m/s. 
C)  302 m/s. 
D)  354 m/s. 
E)  412 m/s. 
A)  198 m/s. 
B)  245 m/s. 
C)  302 m/s. 
D)  354 m/s. 
E)  412 m/s.

Question 9

A 2500 kg car accelerates from rest to a velocity of 10 m/s in 5.0 seconds. The average power of the engine during this acceleration is

Accepted Answer

A)  50 kW. 
B)  47 kW. 
C)  40 kW. 
D)  31 kW. 
E)  25 kW. 
A)  50 kW. 
B)  47 kW. 
C)  40 kW. 
D)  31 kW. 
E)  25 kW.

Question 10

A 20.0 kg box slides up a 12.0 m long incline at an angle of 30.0 degrees with the horizontal. A force of 150 N is applied to the box to pull it up the incline. The applied force makes an angle of 10.0 degrees to the incline and above the incline. If the incline has a coefficient of kinetic friction of 0.100, then the increase in the kinetic energy of the box is

Accepted Answer

A)  424 J. 
B)  395 J. 
C)  344 J. 
D)  297 J. 
E)  250 J. 
A)  424 J. 
B)  395 J. 
C)  344 J. 
D)  297 J. 
E)  250 J.

Question 11

A 20.0 kg box slides down a 12.0 m long incline at an angle of 30.0 degrees with the horizontal. A force of 50.0 N is applied to the box in the upward direction. The applied force F makes an angle of 0.00 to the incline. If the incline is frictionless, then the increase in the kinetic energy of the box is

Accepted Answer

A)  620 J. 
B)  576 J. 
C)  542 J. 
D)  500 J. 
E)  475 J. 
A)  620 J. 
B)  576 J. 
C)  542 J. 
D)  500 J. 
E)  475 J.

Question 12

A 2.00 kg pendulum bob on a string 1.50 m long, is released with a velocity of 3.00 m/s when the support string makes an angle of 45.0 degrees with the vertical. What is the angle with the vertical the bob makes at the highest point of its motion?

Accepted Answer

A)  47.5 degrees 
B)  50.0 degrees 
C)  59.8 degrees 
D)  66.4 degrees 
E)  75.3 degrees 
A)  47.5 degrees 
B)  50.0 degrees 
C)  59.8 degrees 
D)  66.4 degrees 
E)  75.3 degrees

Question 13

A spring-powered dart gun is unstretched and has a spring constant 100 N/m. The spring is compressed by 8.00 cm and a 5.00 gram projectile is placed in the gun. The maximum height of the projectile when it is shot straight up from the gun is

Accepted Answer

A)  7.57 m. 
B)  7.00 m. 
C)  6.53 m. 
D)  6.00 m. 
E)  5.50 m. 
A)  7.57 m. 
B)  7.00 m. 
C)  6.53 m. 
D)  6.00 m. 
E)  5.50 m.

Question 14

A 2,000 kg car traveling at 30.0 mi/h skids to a stop in 60.0 meters. The force of friction during the skid is (1.0 mi/h = 0.447 m/s)

Accepted Answer

A)  4,500 N. 
B)  4,200 N. 
C)  3,750 N. 
D)  3,000 N. 
E)  2,400 N. 
A)  4,500 N. 
B)  4,200 N. 
C)  3,750 N. 
D)  3,000 N. 
E)  2,400 N.

Question 15

A spring-powered dart gun is unstretched and has a spring constant 12.0 N/m. The spring is compressed by 8.00 cm and a 5.00 gram projectile is placed in the gun. The velocity of the projectile when it is shot from the gun is

Accepted Answer

A)  1.52 m/s. 
B)  2.54 m/s. 
C)  3.92 m/s. 
D)  4.24 m/s. 
E)  5.02 m/s. 
A)  1.52 m/s. 
B)  2.54 m/s. 
C)  3.92 m/s. 
D)  4.24 m/s. 
E)  5.02 m/s.

Question 16

An 8000 kg satellite is launched from the surface of the Earth into outer space. What initial kinetic energy is needed by the satellite in order to reach a great (i.e., infinite) distance from the Earth, neglecting the effects of air resistance in the atmosphere? (G = 6.67 × 10−11 N·m2/kg2, ME = 5.97 × 1024 kg, RE = 6.37 × 106 m.)

Accepted Answer

A)  5.00 × 1011 J. 
B)  4.03 × 1011 J. 
C)  3.57 × 1011 J. 
D)  3.00 × 1011 J. 
E)  2.35 × 1011 J. 
A)  5.00 × 1011 J. 
B)  4.03 × 1011 J. 
C)  3.57 × 1011 J. 
D)  3.00 × 1011 J. 
E)  2.35 × 1011 J.

Question 17

An 8000 kg satellite is launched from the surface of the Earth and injected into a circular orbit at an altitude of 100 km above the surface of the Earth. The gravitational potential energy of the satellite in the circular orbit is (G = 6.67 × 10−11 N·m2/kg2, ME = 5.97 × 1024 kg, RE = 6.37 × 106 m)

Accepted Answer

A)  −5.01 × 1011 J. 
B)  −4.92 × 1011 J. 
C)  −4.75 × 1011 J. 
D)  −4.02 × 1011 J. 
E)  −3.85 × 1011 J. 
A)  −5.01 × 1011 J. 
B)  −4.92 × 1011 J. 
C)  −4.75 × 1011 J. 
D)  −4.02 × 1011 J. 
E)  −3.85 × 1011 J.

Question 18

A 3.00 kg pendulum bob on a string 2.00 m long, is released with a velocity of 2.00 m/s when the support string makes an angle of 45.0 degrees with the vertical. What is the tangential acceleration of the bob at the highest point of its motion?

Accepted Answer

A)  6.04 m/s2 
B)  6.89 m/s2 
C)  7.80 m/s2 
D)  8.20 m/s2 
E)  9.02 m/s2 
A)  6.04 m/s2 
B)  6.89 m/s2 
C)  7.80 m/s2 
D)  8.20 m/s2 
E)  9.02 m/s2

Question 19

In order to conserve fuel, you modify your car by removing 100 kg of excess weight. How much energy is saved each time you drive up a 3 km high mountain?

Accepted Answer

A)  2.94 × 106 J 
B)  2.86 × 104 J 
C)  3.86 × 106 J 
D)  3.00 × 105 J 
A)  2.94 × 106 J 
B)  2.86 × 104 J 
C)  3.86 × 106 J 
D)  3.00 × 105 J

Question 20

A car has a mass of 2,000 kg and travels at 20.0 m/s. If the drag force is 100 N, then the power the engines have to provide to keep moving at constant speed is

Accepted Answer

A)  2.0 kW. 
B)  2.9 kW. 
C)  3.4 kW. 
D)  3.9 kW. 
E)  4.2 kW. 
A)  2.0 kW. 
B)  2.9 kW. 
C)  3.4 kW. 
D)  3.9 kW. 
E)  4.2 kW.

Exam 6: Conservation of Energy

A 75.0 kg skier, starting from rest, slides down a 75.0 m high slope without friction. The velocity of the skier at the bottom of the slope is

The graph shows the force on an object as it moves a distance x. What is the work done by the force as the object moves from 2.0 m to 8.0 m?

A spring with a spring constant of 8.0 N/m is compressed to 20 cm. If the spring was uncompressed initially, then the work done (by the compressing force) is

A 2000 kg car accelerates from rest to a velocity of 20 m/s in 10 seconds. The average power of the engine during this acceleration is

A ski lift carries passengers up a 150 m high slope at the rate of one chair every 30.0 seconds. If the chair will hold two passengers with a combined total mass of 190 kg, then the power output of the engine that powers the ski lift is

The most fundamental forms of energy are

A 2.00 kg pendulum bob on a string 2.00 m long, is released with a velocity of 1.50 m/s when the support string makes an angle of 30.0 degrees with the vertical. What is the tangential acceleration of the bob at the highest point of its motion?

The explosion in a cannon exerts an average force of 30,000 N for 2.00 meters. The velocity of a 2.00 kg projectile shot from the cannon is

A 2500 kg car accelerates from rest to a velocity of 10 m/s in 5.0 seconds. The average power of the engine during this acceleration is

A 2.00 kg pendulum bob on a string 1.50 m long, is released with a velocity of 3.00 m/s when the support string makes an angle of 45.0 degrees with the vertical. What is the angle with the vertical the bob makes at the highest point of its motion?

A spring-powered dart gun is unstretched and has a spring constant 100 N/m. The spring is compressed by 8.00 cm and a 5.00 gram projectile is placed in the gun. The maximum height of the projectile when it is shot straight up from the gun is

A 2,000 kg car traveling at 30.0 mi/h skids to a stop in 60.0 meters. The force of friction during the skid is (1.0 mi/h = 0.447 m/s)

A spring-powered dart gun is unstretched and has a spring constant 12.0 N/m. The spring is compressed by 8.00 cm and a 5.00 gram projectile is placed in the gun. The velocity of the projectile when it is shot from the gun is

A 3.00 kg pendulum bob on a string 2.00 m long, is released with a velocity of 2.00 m/s when the support string makes an angle of 45.0 degrees with the vertical. What is the tangential acceleration of the bob at the highest point of its motion?

In order to conserve fuel, you modify your car by removing 100 kg of excess weight. How much energy is saved each time you drive up a 3 km high mountain?

A car has a mass of 2,000 kg and travels at 20.0 m/s. If the drag force is 100 N, then the power the engines have to provide to keep moving at constant speed is

Introduction

Motion Along a Line

Motion in a Plane

Force and Newtons Laws of Motion

Circular Motion

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

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