Question 1

State Kepler's third law.

Accepted Answer

The square of the orbital peri

Question 2

Marilyn (M) Figure 7-1
 
 Which of the following is true?

Accepted Answer

A)  They have different speeds, and different angular velocities. 
B)  They have the same speed and the same angular velocity. 
C)  They have the same speed, but their angular velocity is different. 
D)  They have different speeds, but the same angular velocity. 
A)  They have different speeds, and different angular velocities. 
B)  They have the same speed and the same angular velocity. 
C)  They have the same speed, but their angular velocity is different. 
D)  They have different speeds, but the same angular velocity.

Question 3

The escape velocity is how many times the orbital velocity?

Accepted Answer

A)  4 
B)  2
  
C)  2 
D) 
  
E) 
  
A)  4 
B)  2
  
C)  2 
D) 
  
E)

Question 4

What is the arc length subtended by an angle of 30° on a circle of radius 10 cm?

Accepted Answer

The answer of What is the arc length subtended by...

Question 5

The total energy of a circularly orbiting satellite is ________ the kinetic energy.

Accepted Answer

A)  three times 
B)  twice 
C)  the same as 
D)  half 
E)    times 
A)  three times 
B)  twice 
C)  the same as 
D)  half 
E)    times

Question 6

Our second closest star, Alpha Centauri, is 4.0 lightyears distant. On a particular night, it is located 37.° up from the horizon, in a vertical plane. What are its x and y coordinates in this plane?

Accepted Answer

x = 3.2 ly

Question 7

A satellite orbits the Earth once every 6.0 hours in a circle. What is the acceleration of the satellite (direction too)?

Accepted Answer

1.4 m/s² to

Question 8

What is the angular speed of a record that rotates at 33-1/3 rpm?

Accepted Answer

A)  33.3 $\pi$ rad/s 
B)  2.77 rad/s 
C)  33.3/ $\pi$ rad/s 
D)  3.49 rad/s 
E)  1.74 rad/s 
A)  33.3 $\pi$ rad/s 
B)  2.77 rad/s 
C)  33.3/ $\pi$ rad/s 
D)  3.49 rad/s 
E)  1.74 rad/s

Question 9

For a spacecraft going from the earth toward the sun, at what point will the gravitational forces due to the sun and the Earth cancel?
[Earth's mass: me = 5.98 × 1024 kg
sun's mass: ms = 1.99 × 1030 kg
Earth-sun distance: r = 1.50 × 1011 m]

Accepted Answer

2.60 × 10⁸

Question 10

A satellite orbits the Earth once every 6.0 hours in a circle. What is its angular velocity (in radians/s)?

Accepted Answer

The answer of A satellite orbits the Earth once every...

Question 11

Why do the two different expressions for gravitational potential energy (+mgh and -GmM/r) have Different signs?

Accepted Answer

The reference level for zero gravitation

Question 12

A mass which weighs 19.6 Newtons on Earth is 2.3 meters away from a 2.00 kg mass.
(a) Determine their mutual gravitational attraction to each other.
(b) How much work would have to be done to put a very large distance between the two masses?

Accepted Answer

(a) 5.0 ×

Question 13

Two asteroids, of the same mass, have a gravitational potential energy U. If a third asteroid, of the same mass, moves toward them, to a position such that the distances between the three asteroids are the same, the gravitational potential energy of the system will have changed by

Accepted Answer

A)  4U. 
B)  U. 
C)  2U. 
D)  3U. 
E)  5U. 
A)  4U. 
B)  U. 
C)  2U. 
D)  3U. 
E)  5U.

Exam 7: Circular Motion and Gravitation

State Kepler's third law.

Marilyn (M) Figure 7-1 Which of the following is true?

The escape velocity is how many times the orbital velocity?

What is the arc length subtended by an angle of 30° on a circle of radius 10 cm?

The total energy of a circularly orbiting satellite is ________ the kinetic energy.

Our second closest star, Alpha Centauri, is 4.0 lightyears distant. On a particular night, it is located 37.° up from the horizon, in a vertical plane. What are its x and y coordinates in this plane?

A satellite orbits the Earth once every 6.0 hours in a circle. What is the acceleration of the satellite (direction too)?

What is the angular speed of a record that rotates at 33-1/3 rpm?

For a spacecraft going from the earth toward the sun, at what point will the gravitational forces due to the sun and the Earth cancel? [Earth's mass: me = 5.98 × 1024 kg sun's mass: ms = 1.99 × 1030 kg Earth-sun distance: r = 1.50 × 1011 m]

A satellite orbits the Earth once every 6.0 hours in a circle. What is its angular velocity (in radians/s)?

Why do the two different expressions for gravitational potential energy (+mgh and -GmM/r) have Different signs?

A mass which weighs 19.6 Newtons on Earth is 2.3 meters away from a 2.00 kg mass. (a) Determine their mutual gravitational attraction to each other. (b) How much work would have to be done to put a very large distance between the two masses?

Two asteroids, of the same mass, have a gravitational potential energy U. If a third asteroid, of the same mass, moves toward them, to a position such that the distances between the three asteroids are the same, the gravitational potential energy of the system will have changed by

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For a spacecraft going from the earth toward the sun, at what point will the gravitational forces due to the sun and the Earth cancel? [Earth's mass: me = 5.98 × 10²⁴ kg sun's mass: ms = 1.99 × 10³⁰ kg Earth-sun distance: r = 1.50 × 10¹¹ m]