Question

A student observes a roller coaster at locations A, B, C, and D on the track.




Which statement is true according to the bar graph?

(1 point)
Responses

The roller coaster creates potential energy, but kinetic energy does not change.
The roller coaster creates potential energy, but kinetic energy does not change.

The roller coaster destroys potential energy.
The roller coaster destroys potential energy.

The roller coaster creates kinetic energy.
The roller coaster creates kinetic energy.

Both potential and kinetic energy change, but total energy does not change.
Both potential and kinetic energy change, but total energy does not change.
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To determine which statement is true according to the bar graph (not provided), we need to consider the principles of energy conservation in a roller coaster system, which involves both potential and kinetic energy.

1. **Potential Energy:** This energy is highest at the top of the roller coaster (e.g., locations A or C) where the height is greatest.
2. **Kinetic Energy:** This energy is highest at the lowest points of the roller coaster (e.g., locations B or D) where the speed is greatest.

In a perfect roller coaster with no friction or energy loss:
- As the coaster descends from a height, potential energy is converted into kinetic energy.
- As it ascends, kinetic energy is converted back into potential energy.
- The total energy of the system remains constant if we neglect friction and air resistance.

Now, let's analyze the statements:

1. **The roller coaster creates potential energy, but kinetic energy does not change.**
- This is not true because potential and kinetic energy convert into each other.

2. **The roller coaster destroys potential energy.**
- This is not true, as energy can't be created or destroyed; it changes form.

3. **The roller coaster creates kinetic energy.**
- This is not true because kinetic energy is gained from the conversion of potential energy, not created.

4. **Both potential and kinetic energy change, but total energy does not change.**
- This statement aligns with the law of conservation of energy, where energy changes forms but the total remains constant.

Based on this analysis, the true statement is **"Both potential and kinetic energy change, but total energy does not change."**