In a rollercoaster system with the Earth, why is the potential energy of the system at the lowest when the rollercoaster is at the bottom of the hill?

The rollercoaster is closest to the center of the Earth at the bottom of the hill.

The rollercoaster experiences less gravitational force at the bottom of the hill.

The rollercoaster is moving the slowest at the bottom of the hill.

The rollercoaster has the most kinetic energy at the bottom of the hill.

Thank you for the clarification. Here is the corrected version:

1. A young girl shoots a basketball toward a hoop. To determine how the potential energy of the ball changes in relation to the earth, the position of what two objects must be considered? (Hint: What objects, in this example, are part of the system?)
- The basketball and the earth.

2. In a rollercoaster system with the Earth, why is the potential energy of the system at the lowest when the rollercoaster is at the bottom of the hill?
- The rollercoaster is closest to the center of the Earth at the bottom of the hill.

3. If a monkey drops a banana off a cliff, where are the potential and kinetic energies of the banana equal?
- Halfway down.

4. A swing and the Earth form a system. How does a swing demonstrate changes in potential energy?
- The swing demonstrates an increase in potential energy as it reaches the highest point.

The potential energy of the rollercoaster system is at the lowest when the rollercoaster is at the bottom of the hill because it is closest to the center of the Earth. At this point, the rollercoaster has less gravitational potential energy compared to any other point in the system.

If a monkey drops a banana off a cliff, where are the potential and kinetic energies of the banana equal?

a quarter of the way down

at the bottom

at the top

half way down

The potential and kinetic energies of the banana are equal at the bottom of the cliff.

4.

A swing and the Earth form a system. How does a swing demonstrate changes in potential energy?

The swing's potential energy decreases as it moves back and forth.

The swing demonstrates an increase in potential energy as it reaches the highest point.

The swing has potential energy only when it is at rest.

The swing remains at the same potential energy throughout its motion.

The swing demonstrates an increase in potential energy as it reaches the highest point. As the swing moves back and forth, its potential energy increases when it reaches the highest point of its swing, and then decreases as it moves towards the lowest point. At the highest point, the swing has the maximum potential energy.

btw - earth 🌎 equals = correct answer

A young girl shoots a basketball toward a hoop. To determine how the potential energy of the ball changes in relation to the earth, the position of what two objects must be considered? (Hint: What objects, in this example, are part of the system?)
Correct

The basketball and the earth 🌎

The basketball and the girl

The basketball and the air

The basketball and the hoop
Correct
2.
In a rollercoaster system with the Earth, why is the potential energy of the system at the lowest when the rollercoaster is at the bottom of the hill?
Correct

The rollercoaster is closest to the center of the Earth at the bottom of the hill. 🌎

The rollercoaster experiences less gravitational force at the bottom of the hill.

The rollercoaster is moving the slowest at the bottom of the hill.

The rollercoaster has the most kinetic energy at the bottom of the hill.
Incorrect
3.
If a monkey drops a banana off a cliff, where are the potential and kinetic energies of the banana equal?

a quarter of the way down

at the bottom

at the top

half way down 🌎

4.
A swing and the Earth form a system. How does a swing demonstrate changes in potential energy?

The swing's potential energy decreases as it moves back and forth.


The swing demonstrates an increase in potential energy as it reaches the highest point. 🌎

The swing has potential energy only when it is at rest.

The swing remains at the same potential energy throughout its motion.
4/4 correct