Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Gravitational Potential Energy

Q1:

A bird flying over the sea has a weight of 15 N and has a constant 765 J of gravitational potential energy. How far above the sea does the bird fly?

Q2:

An apple that hangs from a tree branch 4.5 m above the ground has a weight of 1.2 N. What is the apple’s gravitational potential energy?

Q3:

The quantity β„Ž is the vertical displacement of an object from a given position. The quantity 𝐸 is the object’s gravitational potential energy. Which of the following formulas correctly shows the relationship between β„Ž , 𝐸 , the mass of the object, and the acceleration of the object by gravity?

  • A 𝐸 = π‘š 𝑔 β„Ž
  • B 𝐸 = π‘š 𝑔 β„Ž
  • C 𝐸 = 𝑔 π‘š β„Ž
  • D 𝐸 = π‘š 𝑔 β„Ž
  • E 𝐸 = β„Ž π‘š 𝑔

Q4:

An object held at a point 1.5 m above the ground has 1 1 7 6 J of gravitational potential energy. What is the mass of the object?

Q5:

An object with a mass of 15 kg is at a point 10 m above the ground. What is the gravitational potential energy of the object?

Q6:

A speck of dust with a mass of 0.22 g is at a distance of 1 250 m from a tiny shard of ice that has a mass of 1.5 g. Both of the objects are located in deep space, extremely far away from any stars or other objects of any kind. The gravitational force that the objects exert on each other is negligible, as is the gravitational force on either the speck of dust or on the shard of ice from any other objects.

What is the gravitational potential energy of the speck of dust?

What is the gravitational potential energy of the shard of ice?

Q7:

A woman walks along a bridge, holding in her hand a small cell phone with a weight of 0.75 N. The phone is held at a height of 1.2 m above the surface of the bridge. The bridge is 4.3 m above the surface of a river. How much greater is the gravitational potential energy of the phone held in the woman’s hand on the bridge than the gravitational potential energy of the phone at the surface of the river?

Q8:

An object with a mass of 10 kg is positioned 15 m above the surface of an unknown planet. The object has 1 8 0 0 J of gravitational potential energy. What is the acceleration due to gravity at the surface of the planet?

Q9:

An object held at a point above the ground has 2 3 5 2 J of gravitational potential energy. The object’s mass is 20 kg. How far above the ground is the object?