Question 1

A 4,000 kg satellite is traveling in a circular orbit 200 km above the surface of the Earth.A 3.00 gram marble is dropped inside the satellite.What is the acceleration of the marble as viewed by the observers on the Earth? (Me = 5.98 $\times$ 1024 kg,Re = 6.37 $\times$ 106 m,G = 6.67 $\times$ 10-11 N.m2/kg2)

Accepted Answer

A)  9.80 m/s2 
B)  9.24 m/s2 
C)  8.90 m/s2 
D)  8.62 m/s2 
E)  7.95 m/s2

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.

Question 3

A conical pendulum is constructed with a string 2.00 m in length.The pendulum is set in horizontal circular path the vertical axis.If the angle the string makes with the vertical axis is 45.0 degrees,then the angular velocity of the conical pendulum is

Accepted Answer

A)  4.00 rad/s. 
B)  3.55 rad/s. 
C)  3.04 rad/s. 
D)  2.63 rad/s. 
E)  2.01 rad/s.

Question 4

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 tangential velocity of a point on the circumference is

Accepted Answer

A)  1.76 m/s. 
B)  1.54 m/s. 
C)  1.41 m/s 
D)  1.26 m/s. 
E)  1.07 m/s.

Question 5

An object is moving in a circular path with a radius of 5.00 m.If the object moves through an angle of 270 degrees,then the tangential distance traveled by the object is

Accepted Answer

A)  4.71 m. 
B)  15.2 m. 
C)  23.6 m. 
D)  40.2 m.

Question 6

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 velocity 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.

Question 7

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 velocity of the satellite as it orbits the Earth is (Me = 5.98 $\times$ 1024 kg, Re = 6.37 $\times$ 106 m, G = 6.67 $\times$ 10-11 N.m2/kg2)

Accepted Answer

A)  9.50 $\times$ 10-4 rad/s. 
B)  1.04 $\times$ 10-3 rad/s. 
C)  1.44 $\times$ 10-3 rad/s. 
D)  1.90 $\times$ 10-3 rad/s. 
E)  2.20 $\times$ 10-3 rad/s.

Question 8

A CD has a diameter of 12.0 cm.If the CD is rotating at a constant angular velocity of 20.0 radians per seconds,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.

Question 9

A car travels around an unbanked curve at 17 m/s.If the static friction coefficient between the tires and the road is 0.45,what is the minimum radius curve that the car can take at this speed without slipping?

Accepted Answer

A)  65 m 
B)  3.9 m 
C)  15 m 
D)  8.1 m

Question 10

A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant tangential velocity of 6.20 m/sec.The centripetal force on the mass is

Accepted Answer

A)  40.2 N. 
B)  48.1 N. 
C)  50.5 N. 
D)  59.0 N. 
E)  62.3 N.

Question 11

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 deceleration.What is the angular distance traveled by a point 4.00 cm from the center,at the time 10.0 seconds from the start?

Accepted Answer

A)  27.6 rad 
B)  37.5 rad 
C)  40.7 rad 
D)  48.2 rad 
E)  51.2 rad

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

Question 13

An object is moving in a circular path of radius R.If the object moves through an angle of 30.0 degrees,then the angle is

Accepted Answer

A)  0.22 radians. 
B)  0.52 radians. 
C)  0.75 radians. 
D)  1.30 radians. 
E)  1.75 radians.

Question 14

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.

Question 15

Two planets travel in circular orbits about a star.The period of planet A is T,while that of planet B is 3T.What is the ratio of the orbital radii,RA/RB?

Accepted Answer

A)  0.33 
B)  0.19 
C)  0.48 
D)  0.69

Question 16

An airplane flies in a semi-circular arc in order to simulate "weightlessness" for its occupants.If the radius of the semicircular path it flies is 3500 m,what is the speed at which the plane flies?

Accepted Answer

A)  357 m/s 
B)  580 m/s 
C)  185 m/s 
D)  1180 m/s

Question 17

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

Question 18

A 5,000 kg satellite is orbiting the Earth in a geostationary orbit.The height of the satellite above the surface of the Earth is (Me = 5.98 $\times$ 1024 kg, Re = 6.37 $\times$ 106 m, G = 6.67 $\times$ 10-11 N.m2/kg2)

Accepted Answer

A)  8.29 $\times$107 m. 
B)  6.35 $\times$ 107 m. 
C)  3.59 $\times$ 107 m. 
D)  2.95 $\times$ 107 m. 
E)  1.40 $\times$ 107 m.

Question 19

A CD has a diameter of 12.0 cm.If the CD starts from rest and has a constant angular acceleration of 2.00 rad/sec2,then the centripetal acceleration of a point 3.00 cm from the center of the CD after 3.00 sec is

Accepted Answer

A)  0.950 m/s2. 
B)  1.08 m/s2. 
C)  1.25 m/s2. 
D)  1.58 m/s2. 
E)  1.83 m/s2.

Question 20

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 deceleration.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

Exam 5: Circular Motion

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 conical pendulum is constructed with a string 2.00 m in length.The pendulum is set in horizontal circular path the vertical axis.If the angle the string makes with the vertical axis is 45.0 degrees,then the angular velocity of the conical pendulum is

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 tangential velocity of a point on the circumference is

An object is moving in a circular path with a radius of 5.00 m.If the object moves through an angle of 270 degrees,then the tangential distance traveled by the object is

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 velocity of the stone when it leaves the circular path 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 velocity of the satellite as it orbits the Earth is (Me = 5.98 $\times$ 10²⁴ kg, Re = 6.37 $\times$ 10⁶ m, G = 6.67 $\times$ 10^-11 N.m²/kg²)

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

A car travels around an unbanked curve at 17 m/s.If the static friction coefficient between the tires and the road is 0.45,what is the minimum radius curve that the car can take at this speed without slipping?

A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant tangential velocity of 6.20 m/sec.The centripetal force on the mass 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?

An object is moving in a circular path of radius R.If the object moves through an angle of 30.0 degrees,then the angle 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

Two planets travel in circular orbits about a star.The period of planet A is T,while that of planet B is 3T.What is the ratio of the orbital radii,R_A/R_B?

An airplane flies in a semi-circular arc in order to simulate "weightlessness" for its occupants.If the radius of the semicircular path it flies is 3500 m,what is the speed at which the plane flies?

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 5,000 kg satellite is orbiting the Earth in a geostationary orbit.The height of the satellite above the surface of the Earth is (Me = 5.98 $\times$ 10²⁴ kg, Re = 6.37 $\times$ 10⁶ m, G = 6.67 $\times$ 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 2.00 rad/sec²,then the centripetal acceleration of a point 3.00 cm from the center of the CD after 3.00 sec is

Exam 5: Circular Motion

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 conical pendulum is constructed with a string 2.00 m in length.The pendulum is set in horizontal circular path the vertical axis.If the angle the string makes with the vertical axis is 45.0 degrees,then the angular velocity of the conical pendulum is

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 tangential velocity of a point on the circumference is

An object is moving in a circular path with a radius of 5.00 m.If the object moves through an angle of 270 degrees,then the tangential distance traveled by the object is

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 velocity of the stone when it leaves the circular path 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 velocity of the satellite as it orbits the Earth is (Me = 5.98 ×\times× 1024 kg, Re = 6.37 ×\times× 106 m, G = 6.67 ×\times× 10-11 N.m2/kg2)

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

A car travels around an unbanked curve at 17 m/s.If the static friction coefficient between the tires and the road is 0.45,what is the minimum radius curve that the car can take at this speed without slipping?

A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant tangential velocity of 6.20 m/sec.The centripetal force on the mass 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?

An object is moving in a circular path of radius R.If the object moves through an angle of 30.0 degrees,then the angle 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

Two planets travel in circular orbits about a star.The period of planet A is T,while that of planet B is 3T.What is the ratio of the orbital radii,RA/RB?

An airplane flies in a semi-circular arc in order to simulate "weightlessness" for its occupants.If the radius of the semicircular path it flies is 3500 m,what is the speed at which the plane flies?

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 5,000 kg satellite is orbiting the Earth in a geostationary orbit.The height of the satellite above the surface of the Earth is (Me = 5.98 ×\times× 1024 kg, Re = 6.37 ×\times× 106 m, G = 6.67 ×\times× 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 2.00 rad/sec2,then the centripetal acceleration of a point 3.00 cm from the center of the CD after 3.00 sec 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 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 angular velocity of the satellite as it orbits the Earth is (Me = 5.98 $\times$ 10²⁴ kg, Re = 6.37 $\times$ 10⁶ m, G = 6.67 $\times$ 10^-11 N.m²/kg²)

Two planets travel in circular orbits about a star.The period of planet A is T,while that of planet B is 3T.What is the ratio of the orbital radii,R_A/R_B?

A 5,000 kg satellite is orbiting the Earth in a geostationary orbit.The height of the satellite above the surface of the Earth is (Me = 5.98 $\times$ 10²⁴ kg, Re = 6.37 $\times$ 10⁶ m, G = 6.67 $\times$ 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 2.00 rad/sec²,then the centripetal acceleration of a point 3.00 cm from the center of the CD after 3.00 sec is