# Lesson Worksheet: Potential Energy Science

In this worksheet, we will practice determining the potential energy for an object due to the gravitational force acting on it.

**Q1: **

A ball moves slowly when at the top of a slope. At the bottom of the slope, the speed of the ball is much greater. What category of energy decreased as the kinetic energy of the ball increased?

- AGravitational potential energy
- BElastic potential energy
- CElectrical potential energy

**Q2: **

The three balls shown all have the same mass but are at different heights above the ground.

For which color ball is the gravitational potential energy greatest?

- AOrange
- BBlue
- CGreen

For which color ball is the gravitational potential energy least?

- AOrange
- BGreen
- CBlue

**Q3: **

Two balls have the same mass and are at the same height above the ground. The green ball is held by a string and does not move. The blue ball is moving upward. Which of the following correctly relates the gravitational potential energies of the balls?

- AThe gravitational potential energy of both balls is the same.
- BThe gravitational potential energy of the green ball is greater.
- CThe gravitational potential energy of the blue ball is greater.

**Q4: **

The formula for gravitational potential energy is . In the formula, is the height of an object above the ground and is the mass of the object. Which of the following is ?

- AThe acceleration due to gravity
- BThe density of the object
- CThe speed of the object

**Q5: **

Three balls all have different masses. The balls are at the same height above the ground. Which of the following is true about the gravitational potential energies of the balls?

- AThe gravitational potential energy is the same for each ball.
- BThe gravitational potential energy is greatest for the ball with the greatest mass.
- CThe gravitational potential energy is greatest for the ball with the least mass.

**Q6: **

Which of the following is equal to the gravitational potential energy of an object?

- AWeight of object height of object above the ground
- BWeight of object height of object above the ground

**Q7: **

A tree is in a strong wind that blows dead leaves and branches out of the tree, reducing the weight of the tree. Which of the following correctly describes the change in the gravitational potential energy for the tree?

- AThe gravitational potential energy increases.
- BThe gravitational potential energy does not change.
- CThe gravitational potential energy decreases.

**Q8: **

The formula for gravitational potential energy is . In the formula,
is the height of an object above the ground, is the mass of the object, and
is the acceleration due to gravity. An object with a mass of
1 kilogram is
1 meter above the ground, accelerating downward at
1 m/s^{2}.

Which of the following is the value of the acceleration due to gravity, rounded to the nearest meter per second squared?

- A2 m/s
^{2} - B100 m/s
^{2} - C5 m/s
^{2} - D10 m/s
^{2} - E20 m/s
^{2}

Which of the following is closest to the gravitational potential energy for the object?

- A3 joules
- B5 joules
- C10 joules
- D100 joules
- E1 joule

**Q9: **

The gravitational potential energy for an object on top of a building is 55 joules. The object has a mass of
2 kilograms. The object is thrown 4 meters upward. Find the gravitational potential energy for the object when it is at its maximum height. Answer to the nearest
joule. Use
9.8 m/s^{2} for the acceleration due to gravity.

**Q10: **

An object at a height of 1 meter above Earth has the same mass as an object that is 1 meter above the Moon. Which of the following correctly relates the gravitational potential energies for the objects?

- AThe gravitational potential energy is greater for the object on the Moon.
- BThe gravitational potential energy is greater for the object on Earth.
- CThe gravitational potential energy is the same for each object.