Free Printable AP Physics C Gravitation

1.

Two moons of equal mass are in circular orbits around a planet. Moon 1 orbits with a radius r and Moon 2 orbits with a radius 3r. What is the ratio of the gravitational force of planet on Moon 1: gravitational force on planet to Moon 2?

\frac{F\ on\ 1}{F\ on\ 2}

?

a)

9/1

b)

1/3

c)

3/1

d)

1/9

2.

A comet moves in an elliptical orbit around the sun. Which of the following is a maximum when the comet is at its further distance from the Sun?

a)

Speed of the comet

b)

Acceleration of the comet

c)

Gravitational potential energy of the Sun-comet system

d)

Total energy of the Sun-comet system

3.

Identical satellites X and Y of mass m are in circular orbit around a planet of mass M and radius R. Satellite X has an orbital radius of 3R, and Y has one of 3R. The kinetic energy of satellite X is K. What is the gravitational potential energy of the planet-satellite X system?

a)

-2K

b)

-K

c)

-K/2

d)

K/2

4.

Identical satellites X and Y of mass m are in circular orbit around a planet of mass M and radius R. Satellite X has an orbital radius of 3R, and Y has one of 3R. The kinetic energy of satellite X is K. What is the kinetic energy of satellite Y?

a)

K/4

b)

3K/4

c)

K

d)

4K/3

5.

Identical satellites X and Y of mass m are in circular orbit around a planet of mass M and radius R. Satellite X has an orbital radius of 3R, and Y has one of 3R. The kinetic energy of satellite X is K. Satellite X is moved to the same orbit as satellite Y by a force doing work. What is the work done on the satellite?

a)

$\frac{GMm}{24R}$

b)

$-\frac{GMm}{24R}$

c)

$-\frac{7GMm}{12R}$

d)

$\frac{7GMm}{12R}$

6.

A projectile is launch from the surface of a planet with a mass M and radius R. What minimum launch speed if required if the projectile is to rise a height of 4R above the surface of the planet?

a)

$\sqrt{\frac{4GM}{3R}}$

b)

$\sqrt{\frac{8GM}{5R}}$

c)

$\sqrt{\frac{4GM}{5R}}$

d)

$\sqrt{\frac{3GM}{4R}}$

7.

That’s no moon. That’s a massive rod in space of mass and length as shown in the diagram. The rod lies along the y-axis, with its center at the origin. A small point mass of mass m lies along the x-axis a distance of away. Which of the following expression would, when evaluated give the force of gravity between the two objects?

a)

b)

c)

d)

AP Physics C Gravitation

Total questions: 7

Worksheet time: 8mins

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