Question 1

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 200 revolutions per minute, then the linear speed of a point on the circumference is

Accepted Answer

A)  1.06 m/s. 
B)  1.26 m/s. 
C)  1.39 m/s. 
D)  1.62 m/s. 
E)  1.32 m/s. 
A)  1.06 m/s. 
B)  1.26 m/s. 
C)  1.39 m/s. 
D)  1.62 m/s. 
E)  1.32 m/s.

Question 2

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the linear speed of a point 4.0 cm from the center at the time 25.0 seconds from the start?

Accepted Answer

A)  0.10 m/s 
B)  0.017 m/s 
C)  0.083 m/s 
D)  0.00 m/s 
E)  0.12 m/s 
A)  0.10 m/s 
B)  0.017 m/s 
C)  0.083 m/s 
D)  0.00 m/s 
E)  0.12 m/s

Question 3

A 4.00 kg mass is moving in a circular path of radius 4.10 m with a constant angular speed of 5.00 rad/sec. The radial force on the mass is

Accepted Answer

A)  267 N toward the center. 
B)  294 N toward the center. 
C)  302 N toward the center. 
D)  350 N toward the center. 
E)  410 N toward the center. 
A)  267 N toward the center. 
B)  294 N toward the center. 
C)  302 N toward the center. 
D)  350 N toward the center. 
E)  410 N toward the center.

Question 4

An object is moving in a circular path of radius 4.00 m. If the object moves through a tangential distance of 3.00 meters, then the angle the object travels through is

Accepted Answer

A)  0.750 radians. 
B)  1.05 radians. 
C)  1.46 radians. 
D)  1.75 radians. 
E)  1.90 radians. 
A)  0.750 radians. 
B)  1.05 radians. 
C)  1.46 radians. 
D)  1.75 radians. 
E)  1.90 radians.

Question 5

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 25 radians per second, then the linear speed of a point on the circumference is

Accepted Answer

A)  1.0 m/s. 
B)  1.5 m/s. 
C)  2.0 m/s. 
D)  2.5 m/s. 
E)  3.0 m/s. 
A)  1.0 m/s. 
B)  1.5 m/s. 
C)  2.0 m/s. 
D)  2.5 m/s. 
E)  3.0 m/s.

Question 6

An object moving in a circle at a constant speed is

Accepted Answer

A)  accelerating in the direction of motion. 
B)  accelerating toward the center of the circle. 
C)  accelerating away from the center of the circle. 
D)  not accelerating because its speed is constant. 
A)  accelerating in the direction of motion. 
B)  accelerating toward the center of the circle. 
C)  accelerating away from the center of the circle. 
D)  not accelerating because its speed is constant.

Question 7

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15 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 4.0 cm from the center, at the time 2.0 seconds from the start?

Accepted Answer

A)  2.0 rad 
B)  4.0 rad 
C)  6.0 rad 
D)  8.0 rad 
E)  10.0 rad 
A)  2.0 rad 
B)  4.0 rad 
C)  6.0 rad 
D)  8.0 rad 
E)  10.0 rad

Question 8

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 speed of the satellite is (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

Accepted Answer

A)  7,460 m/s. 
B)  6,830 m/s. 
C)  6,430 m/s. 
D)  5,950 m/s. 
E)  5,350 m/s. 
A)  7,460 m/s. 
B)  6,830 m/s. 
C)  6,430 m/s. 
D)  5,950 m/s. 
E)  5,350 m/s.

Question 9

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the radial acceleration of a point 4.0 cm from the center at the time 25.0 seconds from the start?

Accepted Answer

A)  0.47 m/s2 
B)  0.40 m/s2 
C)  0.34 m/s2 
D)  0.24 m/s2 
E)  0.20 m/s2 
A)  0.47 m/s2 
B)  0.40 m/s2 
C)  0.34 m/s2 
D)  0.24 m/s2 
E)  0.20 m/s2

Question 10

A car travels on a road that, if viewed from the side, has a semicircular dip. When at the bottom of the dip, the occupants of the car feel as though they weigh twice their normal weight. What is the radius of the semicircle if the speed of the car is 27 m/s?

Accepted Answer

A)  37 m 
B)  132 m 
C)  149 m 
D)  74 m 
A)  37 m 
B)  132 m 
C)  149 m 
D)  74 m

Question 11

Two planets travel in circular orbits about a star at radii of ra = 2R and rb = R, respectively. What is the ratio of their periods Ta/Tb?

Accepted Answer

A)  1.6 
B)  2.8 
C)  1.3 
D)  1.4 
E)  2.0 
A)  1.6 
B)  2.8 
C)  1.3 
D)  1.4 
E)  2.0

Question 12

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 0.600 rad/sec2, then the magnitude of the (total) acceleration of a point 3.00 cm from the center of the CD after 1.30 sec is

Accepted Answer

A)  0.0256 m/s2. 
B)  0.0306 m/s2. 
C)  0.0415 m/s2. 
D)  0.0472 m/s2. 
E)  0.0502 m/s2. 
A)  0.0256 m/s2. 
B)  0.0306 m/s2. 
C)  0.0415 m/s2. 
D)  0.0472 m/s2. 
E)  0.0502 m/s2.

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 magnitude of the (total) acceleration of a point 4.00 cm from the center at the time 2.00 seconds from the start?

Accepted Answer

A)  0.450 m/s2 
B)  0.314 m/s2 
C)  0.215 m/s2 
D)  0.165 m/s2 
E)  0.100 m/s2 
A)  0.450 m/s2 
B)  0.314 m/s2 
C)  0.215 m/s2 
D)  0.165 m/s2 
E)  0.100 m/s2

Question 14

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant frequency of 4.00 rotations per second, then the period of the rotational motion is

Accepted Answer

A)  0.250 s. 
B)  0.500 s. 
C)  0.750 s. 
D)  1.00 s. 
E)  1.25 s. 
A)  0.250 s. 
B)  0.500 s. 
C)  0.750 s. 
D)  1.00 s. 
E)  1.25 s.

Question 15

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the linear speed of a point 4.0 cm from the center at the time 2.0 seconds from the start?

Accepted Answer

A)  0.060 m/s 
B)  0.080 m/s 
C)  0.10 m/s 
D)  0.14 m/s 
E)  0.18 m/s 
A)  0.060 m/s 
B)  0.080 m/s 
C)  0.10 m/s 
D)  0.14 m/s 
E)  0.18 m/s

Question 16

An airplane flies in a vertical, semicircular arc in order to simulate "weightlessness" for its occupants. If the speed at which the plane flies is 750 km/hr, what is the radius of the semicircular path it flies in?

Accepted Answer

A)  57 km 
B)  1.6 km 
C)  4.4 km 
D)  2.2 km 
E)  76 km 
A)  57 km 
B)  1.6 km 
C)  4.4 km 
D)  2.2 km 
E)  76 km

Question 17

A planet of mass M orbits a star in a circular orbit of radius R, with orbital period T. What would be the orbital period of another planet, orbiting at radius R, but having mass 2M?

Accepted Answer

A)  0.71T 
B)  T 
C)  1.4T 
D)  2T 
E)  0.50T 
A)  0.71T 
B)  T 
C)  1.4T 
D)  2T 
E)  0.50T

Question 18

The Crab Pulsar is a neutron star, rotating with a period of 33.085 ms. It is estimated to have an equatorial radius of 15 km, about average for a neutron star. What is the radial acceleration of an object on the surface at the equator of the pulsar?

Accepted Answer

A)  5.4 x 108 m/s2 
B)  2.7 x 108 m/s2 
C)  8.9 x 108 m/s2 
D)  6.7 x 108 m/s2 
A)  5.4 x 108 m/s2 
B)  2.7 x 108 m/s2 
C)  8.9 x 108 m/s2 
D)  6.7 x 108 m/s2

Question 19

A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.20 m/s. The radial force on the mass is

Accepted Answer

A)  40.2 N away from the center. 
B)  48.1 N toward the center. 
C)  50.5 N away from the center. 
D)  59.0 N toward the center. 
E)  62.3 N away from the center. 
A)  40.2 N away from the center. 
B)  48.1 N toward the center. 
C)  50.5 N away from the center. 
D)  59.0 N toward the center. 
E)  62.3 N away from the center.

Question 20

A 2000 kg car is traveling on curved, icy road. The road is banked at an angle of 12.0 degrees and has a radius of curvature of 500 m. The speed of the car necessary to travel on the icy road without sliding is

Accepted Answer

A)  32.3 m/s. 
B)  40.5 m/s. 
C)  42.8 m/s. 
D)  49.5 m/s. 
E)  50.2 m/s. 
A)  32.3 m/s. 
B)  40.5 m/s. 
C)  42.8 m/s. 
D)  49.5 m/s. 
E)  50.2 m/s.

Exam 5: Circular Motion

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 200 revolutions per minute, then the linear speed of a point on the circumference is

A 4.00 kg mass is moving in a circular path of radius 4.10 m with a constant angular speed of 5.00 rad/sec. The radial force on the mass is

An object is moving in a circular path of radius 4.00 m. If the object moves through a tangential distance of 3.00 meters, then the angle the object travels through is

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 25 radians per second, then the linear speed of a point on the circumference is

An object moving in a circle at a constant speed 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 speed of the satellite is (ME = 5.98 × 1024 kg, RE = 6.37 × 106 m, G = 6.67 × 10−11 N·m2/kg2)

A car travels on a road that, if viewed from the side, has a semicircular dip. When at the bottom of the dip, the occupants of the car feel as though they weigh twice their normal weight. What is the radius of the semicircle if the speed of the car is 27 m/s?

Two planets travel in circular orbits about a star at radii of ra = 2R and rb = R, respectively. What is the ratio of their periods Ta/Tb?

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 0.600 rad/sec2, then the magnitude of the (total) acceleration of a point 3.00 cm from the center of the CD after 1.30 sec is

A CD has a diameter of 12.0 cm. If the CD is rotating at a constant frequency of 4.00 rotations per second, then the period of the rotational motion is

An airplane flies in a vertical, semicircular arc in order to simulate "weightlessness" for its occupants. If the speed at which the plane flies is 750 km/hr, what is the radius of the semicircular path it flies in?

A planet of mass M orbits a star in a circular orbit of radius R, with orbital period T. What would be the orbital period of another planet, orbiting at radius R, but having mass 2M?

The Crab Pulsar is a neutron star, rotating with a period of 33.085 ms. It is estimated to have an equatorial radius of 15 km, about average for a neutron star. What is the radial acceleration of an object on the surface at the equator of the pulsar?

A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.20 m/s. The radial force on the mass is

A 2000 kg car is traveling on curved, icy road. The road is banked at an angle of 12.0 degrees and has a radius of curvature of 500 m. The speed of the car necessary to travel on the icy road without sliding is

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 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 speed of the satellite is (M_E = 5.98 × 10²⁴ kg, R_E = 6.37 × 10⁶m, G = 6.67 × 10⁻¹¹ N·m²/kg²)

Two planets travel in circular orbits about a star at radii of r_a = 2R and r_b = R, respectively. What is the ratio of their periods T_a/T_b?

A CD has a diameter of 12.0 cm. If the CD starts from rest and has a constant angular acceleration of 0.600 rad/sec², then the magnitude of the (total) acceleration of a point 3.00 cm from the center of the CD after 1.30 sec is