Question 1

A ball rolls on the ground at a speed of 3.0 m/s without slipping. If the radius of the ball is 10 cm, what is the angular speed of the ball?

Accepted Answer

A)  30 rad/s 
B)  0.30 rad/s 
C)  90 rad/s 
D)  3.3 rad/s 
A)  30 rad/s 
B)  0.30 rad/s 
C)  90 rad/s 
D)  3.3 rad/s

Question 2

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec2, then the tangential acceleration of a point 3.0 cm from the center of the CD after 3.0 sec is

Accepted Answer

A)  0.40 m/s2. 
B)  0.25 m/s2. 
C)  0.10 m/s2. 
D)  0.06 m/s2. 
E)  0.03 m/s2. 
A)  0.40 m/s2. 
B)  0.25 m/s2. 
C)  0.10 m/s2. 
D)  0.06 m/s2. 
E)  0.03 m/s2.

Question 3

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The time it takes for the satellite to travel around the Earth is (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

Accepted Answer

A)  0.750 hours. 
B)  0.950 hours. 
C)  1.25 hours. 
D)  1.68 hours. 
E)  2.01 hours. 
A)  0.750 hours. 
B)  0.950 hours. 
C)  1.25 hours. 
D)  1.68 hours. 
E)  2.01 hours.

Question 4

A figure skater spins at the end of her routine and slows down with an angular acceleration of 1.2 radians per second squared. If she initially spun with a period of 0.2 seconds, how many turns does she go through while slowing to a stop?

Accepted Answer

A)  65 
B)  6 
C)  33 
D)  15 
A)  65 
B)  6 
C)  33 
D)  15

Question 5

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec2 acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the magnitude of the (total) acceleration of a point 4.00 cm from the center at the time 10.0 seconds from the start?

Accepted Answer

A)  0.65 m/s2 
B)  1.00 m/s2 
C)  1.25 m/s2 
D)  1.37 m/s2 
E)  1.86 m/s2 
A)  0.65 m/s2 
B)  1.00 m/s2 
C)  1.25 m/s2 
D)  1.37 m/s2 
E)  1.86 m/s2

Question 6

A 1.00 kg stone attached to a 1.00 m long string is traveling in a vertical circular path. What is the minimum linear speed needed at the top of the circle to keep the string from going slack?

Accepted Answer

A)  5.63 m/s 
B)  5.31 m/s 
C)  5.00 m/s 
D)  4.50 m/s 
E)  3.13 m/s 
A)  5.63 m/s 
B)  5.31 m/s 
C)  5.00 m/s 
D)  4.50 m/s 
E)  3.13 m/s

Question 7

A 2.0 kg mass is moving in a circular path with a radius of 5.00 cm. The mass starts from rest and, with constant angular acceleration, obtains an angular velocity of 6.00 rad/sec in 3.00 sec. The mass then comes to a stop with constant angular acceleration in 4.00 sec. The radial component of acceleration of the mass at 5.00 sec after the start is

Accepted Answer

A)  2.50 m/s2. 
B)  2.03 m/s2. 
C)  1.25 m/s2. 
D)  0.980 m/s2. 
E)  0.450 m/s2. 
A)  2.50 m/s2. 
B)  2.03 m/s2. 
C)  1.25 m/s2. 
D)  0.980 m/s2. 
E)  0.450 m/s2.

Question 8

Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete one orbit?

Accepted Answer

A)  320 days 
B)  160 days 
C)  20 days 
D)  80 days 
A)  320 days 
B)  160 days 
C)  20 days 
D)  80 days

Question 9

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec2, then the angular velocity of the CD after 3.0 sec is

Accepted Answer

A)  12 rad/s. 
B)  10 rad/s. 
C)  9.0 rad/s. 
D)  8.0 rad/s. 
E)  6.0 rad/s. 
A)  12 rad/s. 
B)  10 rad/s. 
C)  9.0 rad/s. 
D)  8.0 rad/s. 
E)  6.0 rad/s.

Question 10

An object is moving in a circular path of radius 4.00 m. If the object moves through an angle of 30.0 degrees, then the tangential distance traveled by the object is

Accepted Answer

A)  3.66 m. 
B)  3.21 m. 
C)  2.84 m. 
D)  2.09 m. 
E)  1.75 m. 
A)  3.66 m. 
B)  3.21 m. 
C)  2.84 m. 
D)  2.09 m. 
E)  1.75 m.

Question 11

A 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth. A 30.0 gram marble is dropped inside the satellite. What is the force of gravity on the marble as viewed by the observers on the Earth? (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

Accepted Answer

A)  0.405 N 
B)  0.362 N 
C)  0.277 N 
D)  0.202 N 
E)  0.185 N 
A)  0.405 N 
B)  0.362 N 
C)  0.277 N 
D)  0.202 N 
E)  0.185 N

Question 12

A 35.0 kg child swings on a rope with a length of 6.50 m that is hanging from a tree. At the bottom of the swing the child is moving at a speed of 4.20 m/s. What is the tension in the rope?

Accepted Answer

A)  95.0 N 
B)  438 N 
C)  343 N 
D)  366 N 
A)  95.0 N 
B)  438 N 
C)  343 N 
D)  366 N

Question 13

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.00 rad/sec2 acquires an angular velocity of 5.00 rad/sec. The CD continues rotating at 5.00 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the angular distance traveled by a point 4.00 cm from the center, at the time 25.0 seconds from the start?

Accepted Answer

A)  107 rad 
B)  193 rad 
C)  205 rad 
D)  237 rad 
E)  274 rad 
A)  107 rad 
B)  193 rad 
C)  205 rad 
D)  237 rad 
E)  274 rad

Question 14

A 2000 kg car is traveling on a curved, icy road without sliding. The velocity of the car is 32.0 m/s and the road is banked at an angle of 20.0 degrees. The radius of curvature of the road is

Accepted Answer

A)  125 m. 
B)  210 m. 
C)  287 m. 
D)  310 m. 
E)  350 m. 
A)  125 m. 
B)  210 m. 
C)  287 m. 
D)  310 m. 
E)  350 m.

Question 15

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 20.0 radians per second, then the period of the rotational motion is

Accepted Answer

A)  0.143 s. 
B)  0.224 s. 
C)  0.314 s. 
D)  0.421 s. 
E)  0.558 s. 
A)  0.143 s. 
B)  0.224 s. 
C)  0.314 s. 
D)  0.421 s. 
E)  0.558 s.

Question 16

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The angular speed of the satellite as it orbits the Earth is (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

Accepted Answer

A)  9.50 × 10−4 rad/s. 
B)  1.04 × 10−3 rad/s. 
C)  1.44 × 10−3 rad/s. 
D)  1.90 × 10−3 rad/s. 
E)  2.20 × 10−3 rad/s. 
A)  9.50 × 10−4 rad/s. 
B)  1.04 × 10−3 rad/s. 
C)  1.44 × 10−3 rad/s. 
D)  1.90 × 10−3 rad/s. 
E)  2.20 × 10−3 rad/s.

Question 17

A 2000 kg car is traveling on a banked, curved, icy road. The speed of the car is 25.0 m/s and the road has a radius of curvature of 500 m. If the car is to travel on the icy road without sliding, then the angle of the banked road should be

Accepted Answer

A)  25.7 degrees. 
B)  21.0 degrees. 
C)  12.7 degrees. 
D)  10.5 degrees. 
E)  7.27 degrees. 
A)  25.7 degrees. 
B)  21.0 degrees. 
C)  12.7 degrees. 
D)  10.5 degrees. 
E)  7.27 degrees.

Question 18

A 0.500 kg stone is moving in a vertical circular path attached to a string that is 75.0 cm long. The stone is moving around the path at a constant frequency of 1.50 rev/sec. At the moment the stone is overhead, the stone is released. The speed of the stone when it leaves the circular path is

Accepted Answer

A)  5.55 m/s. 
B)  7.07 m/s. 
C)  7.75 m/s. 
D)  8.35 m/s. 
E)  9.00 m/s. 
A)  5.55 m/s. 
B)  7.07 m/s. 
C)  7.75 m/s. 
D)  8.35 m/s. 
E)  9.00 m/s.

Question 19

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec2, then the linear speed of a point 3.0 cm from the center of the CD after 3.0 sec is

Accepted Answer

A)  18 cm/s. 
B)  21 cm/s. 
C)  25 cm/s. 
D)  32 cm/s. 
E)  45 cm/s. 
A)  18 cm/s. 
B)  21 cm/s. 
C)  25 cm/s. 
D)  32 cm/s. 
E)  45 cm/s.

Question 20

A circular space station (shaped like a big wheel) rotates 100 times in one hour. The apparent weight of an astronaut standing on the inside surface of the outer wall is equal to her weight on earth. How far from the axis of rotation is the inside surface of the station's outer wall?

Accepted Answer

A)  322 m 
B)  102 m 
C)  56 m 
D)  1012 m 
A)  322 m 
B)  102 m 
C)  56 m 
D)  1012 m

Exam 5: Circular Motion

A ball rolls on the ground at a speed of 3.0 m/s without slipping. If the radius of the ball is 10 cm, what is the angular speed of the ball?

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec2, then the tangential acceleration of a point 3.0 cm from the center of the CD after 3.0 sec is

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The time it takes for the satellite to travel around the Earth is (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

A figure skater spins at the end of her routine and slows down with an angular acceleration of 1.2 radians per second squared. If she initially spun with a period of 0.2 seconds, how many turns does she go through while slowing to a stop?

A 1.00 kg stone attached to a 1.00 m long string is traveling in a vertical circular path. What is the minimum linear speed needed at the top of the circle to keep the string from going slack?

Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete one orbit?

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec2, then the angular velocity of the CD after 3.0 sec is

An object is moving in a circular path of radius 4.00 m. If the object moves through an angle of 30.0 degrees, then the tangential distance traveled by the object is

A 35.0 kg child swings on a rope with a length of 6.50 m that is hanging from a tree. At the bottom of the swing the child is moving at a speed of 4.20 m/s. What is the tension in the rope?

A 2000 kg car is traveling on a curved, icy road without sliding. The velocity of the car is 32.0 m/s and the road is banked at an angle of 20.0 degrees. The radius of curvature of the road is

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 20.0 radians per second, then the period of the rotational motion is

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The angular speed of the satellite as it orbits the Earth is (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

A 2000 kg car is traveling on a banked, curved, icy road. The speed of the car is 25.0 m/s and the road has a radius of curvature of 500 m. If the car is to travel on the icy road without sliding, then the angle of the banked road should be

A 0.500 kg stone is moving in a vertical circular path attached to a string that is 75.0 cm long. The stone is moving around the path at a constant frequency of 1.50 rev/sec. At the moment the stone is overhead, the stone is released. The speed of the stone when it leaves the circular path is

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec2, then the linear speed of a point 3.0 cm from the center of the CD after 3.0 sec is

A circular space station (shaped like a big wheel) rotates 100 times in one hour. The apparent weight of an astronaut standing on the inside surface of the outer wall is equal to her weight on earth. How far from the axis of rotation is the inside surface of the station's outer wall?

Introduction

Motion Along a Line

Motion in a Plane

Force and Newtons Laws of Motion

Conservation of Energy

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

Filters

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec², then the tangential acceleration of a point 3.0 cm from the center of the CD after 3.0 sec is

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The time it takes for the satellite to travel around the Earth is (M_E = 5.98 × 10²⁴ kg, R_E = 6.37 × 10⁶ m, G = 6.67 × 10⁻¹¹ N·m²/kg²)

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec², then the angular velocity of the CD after 3.0 sec is

A 5,000 kg satellite is orbiting the Earth in a circular path. The height of the satellite above the surface of the Earth is 800 km. The angular speed of the satellite as it orbits the Earth is (M_E = 5.98 × 10²⁴ kg, R_E = 6.37 × 10⁶ m, G = 6.67 × 10⁻¹¹ N·m²/kg²)

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 2.0 rad/sec², then the linear speed of a point 3.0 cm from the center of the CD after 3.0 sec is