# Worksheet: Newton's Law of Gravitation

In this worksheet, we will practice using Newton's Law of Gravitation to calculate the force due to gravity between two massive objects.

**Q1: **

Earth has a mass of
kg,
and the Moon has a mass of
kg.
The average distance between the center of Earth and the center of the Moon is
384,000 km.
What is the magnitude of the gravitational force between Earth and the Moon?
Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

- A N
- B N
- C N
- D N
- E N

**Q2: **

Two spaceships are in deep space.
The distance between the centers of mass of the two spaceships is
300 m,
and the force between them is
N.
If one spaceship has a mass of
24,000 kg,
what is the mass of the other spaceship? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

**Q3: **

A man,
who is standing on the surface of Earth,
has a mass of
72 kg.
Earth has a mass of
kg and a radius of
6,370 km.
What is the magnitude of the gravitational force between the man and Earth? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant.
Give your answer to 3 significant figures.

**Q4: **

Titan is the largest moon of Saturn.
It has a mass of
kg.
Saturn has a mass of
kg.
If the magnitude of the gravitational force between them is
N,
what is the distance between the centers of mass of Saturn and Titan? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

- A m
- B m
- C m
- D m
- E m

**Q5: **

Which of the following is the correct formula for Newton’s law of gravitation?

- A
- B
- C
- D
- E

**Q6: **

Two asteroids,
and
, are in deep space.
Asteroid has a mass of
kg,
and asteroid has a mass of
kg.
If the magnitude of the gravitational force between them is
0.370 N,
what is the distance between the centers of mass of the two asteroids? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

**Q7: **

Two objects,
A and
B,
are in deep space.
Object A has a mass of
15,000 kg
and object B has a mass of
26,000 kg.
The distance between the centers of mass of the two objects is
25 m.
What is the acceleration of object B towards object A
due to their gravitational interaction? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

- A m/s
^{2} - B m/s
^{2} - C m/s
^{2} - D m/s
^{2} - E m/s
^{2}

**Q8: **

Which of the following relations shows how the magnitude of the gravitational force between two objects, , varies with the masses of the two objects, and ?

- A
- B
- C
- D
- E

**Q9: **

The figure shows two large rocks in outer space.
Each rock has a mass of
480 kg.
What is the magnitude of the gravitational force between the two rocks?
Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.
The grid lines on the grid are spaced
1 m apart.

- A N
- B N
- C N
- D N
- E N

**Q10: **

The figure shows two large rocks in outer space.
Each rock has a mass of 150 kg.
What is the magnitude of the gravitational force between the two rocks? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.
The grid lines on the grid are spaced
1 m apart.

- A N
- B N
- C N
- D N
- E N

**Q11: **

Earth has a mass of kg
and orbits the Sun at a distance of
m.
The magnitude of the gravitational force between Earth and the Sun is
N.
What is the mass of the Sun? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

- A kg
- B kg
- C kg
- D kg
- E kg

**Q12: **

Which of the lines on the graph shows how the magnitude of the gravitational force between two objects varies with the distance between their centers of mass?

- AThe black line
- BThe red line
- CThe purple line
- DThe green line
- EThe blue line

**Q13: **

The figure shows two large rocks in outer space.
One rock has a mass of
500 kg;
the other has a mass of
800 kg.
What is the magnitude of the gravitational force between the two rocks? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant.
Give your answer to 3 significant figures. The grid lines on the grid are spaced
1 m apart.

- A N
- B N
- C N
- D N
- E N

**Q14: **

Which of the following relations shows how the magnitude of the gravitational force between two objects, , varies with the distance between their centers of mass, ?

- A
- B
- C
- D
- E

**Q15: **

Each of the following figures shows two rocks in outer space. Which figure correctly shows the direction of the gravitational force exerted on each rock?

- A
- B
- C
- D
- E

**Q16: **

A 1p coin has a mass of 3.56 g.
What is the magnitude of the gravitational force between two 1p coins if the
distance between the centers of the two coins is 10 cm?
Use a value of m^{3}/kg⋅s^{2} for the universal gravitational constant. Give your answer to 3 significant figures.

- A N
- B N
- C N
- D N
- E N

**Q17: **

Two objects, A and B,
are in deep space.
The distance between the centers of mass of the two objects is
20 m.
Object A has a mass of
30,000 kg
and object B has a mass of
55,000 kg.
What is the magnitude of the gravitational force between them? Use a value of
m^{3}/kg⋅s^{2}
for the universal gravitational constant. Give your answer to 3 significant figures.

- A N
- B N
- C N
- D N
- E N