Which label of the roller coaster is incorrect?

(1 point)
Responses

The roller coaster would only have kinetic energy at the point labeled "gravitational potential energy and kinetic energy" because it will be accelerating at this point.
The roller coaster would only have kinetic energy at the point labeled "gravitational potential energy and kinetic energy" because it will be accelerating at this point.

The roller coaster would only have potential energy at the point labeled "gravitational potential energy and kinetic energy" because it is still above the ground at this point.
The roller coaster would only have potential energy at the point labeled "gravitational potential energy and kinetic energy" because it is still above the ground at this point.

The label indicating "maximum gravitational potential energy" because this should be at the lowest point on the track.
The label indicating "maximum gravitational potential energy" because this should be at the lowest point on the track.

The point labeled "maximum kinetic energy" because this is not the lowest point on the track.

The label indicating "maximum gravitational potential energy" because this should be at the lowest point on the track.

The label that is incorrect is the one indicating "maximum kinetic energy" because this is not the lowest point on the track.

To determine which label of the roller coaster is incorrect, we need to consider the concepts of kinetic energy and potential energy.

Kinetic energy is the energy of an object due to its motion, and potential energy is the energy an object possesses because of its position or condition.

Looking at the labels, we can see the following statements:

1) "The roller coaster would only have kinetic energy at the point labeled 'gravitational potential energy and kinetic energy' because it will be accelerating at this point."
2) "The roller coaster would only have potential energy at the point labeled 'gravitational potential energy and kinetic energy' because it is still above the ground at this point."
3) "The label indicating 'maximum gravitational potential energy' because this should be at the lowest point on the track."
4) "The point labeled 'maximum kinetic energy' because this is not the lowest point on the track."

To determine which label is incorrect, let's analyze each statement:

Statement 1 and 2 both express that the roller coaster would only have kinetic energy at the point labeled "gravitational potential energy and kinetic energy" because it will be accelerating and above the ground. Both statements are similar and agree with the principles of energy.

Statement 3 states that the label indicating "maximum gravitational potential energy" should be at the lowest point on the track. This statement is correct because, at the lowest point on the track, the roller coaster has maximum gravitational potential energy and minimum kinetic energy.

Statement 4 claims that the point labeled "maximum kinetic energy" is incorrect because it is not the lowest point on the track. This statement is incorrect because the point of maximum kinetic energy could occur anywhere along the track where the roller coaster has its highest speed.

From the analysis, we can conclude that the label indicating "maximum kinetic energy" is the incorrect label because it contradicts the understanding that maximum kinetic energy does not necessarily have to be at the lowest point on the track.