# Lesson Worksheet: Newton’s Law of Gravitation Physics • 9th Grade

In this worksheet, we will practice using Newton’s law of gravitation to calculate the force due to gravity between two massive objects.

Q1:

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

• A
• B
• C
• D
• E

Q2:

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 m3/kg⋅s2 for the universal gravitational constant. Give your answer in scientific notation to two decimal places.

• A m
• B m
• C m
• D m
• E m

Q3:

Two asteroids, A and B, are in deep space. Asteroid A has a mass of kg, and asteroid B 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 m3/kg⋅s2 for the universal gravitational constant. Give your answer in scientific notation to two decimal places.

• A m
• B m
• C m
• D m
• E m

Q4:

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 m3/kg⋅s2 for the universal gravitational constant. Give your answer to the nearest newton.

Q5:

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 m3/kg⋅s2 for the universal gravitational constant. Give your answer in scientific notation to two decimal places.

• A N
• B N
• C N
• D N
• E N

Q6:

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 toward object A due to their gravitational interaction? Use a value of m3/kg⋅s2 for the universal gravitational constant. Give your answer in scientific notation to two decimal places.

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2

Q7:

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 m3/kg⋅s2 for the universal gravitational constant. Give your answer to the nearest kilogram.

Q8:

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 m3/kg⋅s2 for the universal gravitational constant. Give your answer in scientific notation to two decimal places. The grid lines on the grid are spaced 1 m apart. • A N
• B N
• C N
• D N
• E N

Q9:

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 m3/kg⋅s2 for the universal gravitational constant. Give your answer in scientific notation to two decimal places. The grid lines on the grid are spaced 1 m apart. • A N
• B N
• C N
• D N
• E N

Q10:

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