As the bicyclist rides from right to left, at which of the three points, if any, is the bicyclist’s potential energy increasing? (1 point) Responses The potential energy is increasing at point C because the bicyclist is increasing in elevation at that point. The potential energy is increasing at point C because the bicyclist is increasing in elevation at that point. The potential energy is increasing at point A because the bicyclist is moving fastest at that point. The potential energy is increasing at point A because the bicyclist is moving fastest at that point. The potential energy is increasing at point B because the bicyclist is highest there. The potential energy is increasing at point B because the bicyclist is highest there. The potential energy is always decreasing because the bicyclist continues to move forward.

1 answer

To determine where the bicyclist's potential energy is increasing, we need to consider the relationship between height (elevation) and potential energy. Potential energy (PE) is typically calculated using the formula:

\[ PE = mgh \]

where \( m \) is mass, \( g \) is the acceleration due to gravity, and \( h \) is the height above a reference point.

As the bicyclist moves, their potential energy increases when their elevation (height) increases.

  • At point A: If the bicyclist is moving fastest here, it does not necessarily correlate with an increase in potential energy. Speed relates more to kinetic energy, but unless point A is elevated relative to other points, we cannot say PE is increasing there.

  • At point B: If it is specified that point B is the highest point, then the potential energy is increasing at this point due to the elevation gain, assuming the bicyclist is moving upwards.

  • At point C: If point C involves an elevation gain, then potential energy increases here as well.

Given the responses provided, the most accurate option is:

"The potential energy is increasing at point B because the bicyclist is highest there."

This assumes that point B is indeed the highest point relative to the others. If point C is also elevated, then that point could also lead to an increase in PE. However, based on the phrasing in the options, point B is the most straightforward choice.