A student walks up a hill. The student’s friend has the same mass and walks up the same hill, but completes the journey in less time. Which statement is true about the situation?(1 point)

Question

Responses

The power of the friend is less than the power of the student.
The power of the friend is less than the power of the student.

The work done by the friend is greater than the work done by the student.
The work done by the friend is greater than the work done by the student.

The power of the friend is greater than the power of the student.
The power of the friend is greater than the power of the student.

The work done by the friend is less than the work done by the student.

Answer 1

To answer this question, we need to analyze the concepts of work and power.

1. Work: Work done against gravity when walking up a hill depends on the vertical height gained and the mass of the person doing the work. Since the student and their friend have the same mass and are walking up the same hill, they both do the same amount of work in moving to the same height. Thus, the work done by the friend is equal to the work done by the student.

2. Power: Power is defined as the rate at which work is done, or the amount of work done per unit of time. Since the friend completes the journey in less time than the student, the power exerted by the friend is greater since they perform the same amount of work in a shorter duration.

Considering this information:

• The first statement about power is false.
• The second statement about work is false.
• The third statement about power is true: “The power of the friend is greater than the power of the student.”
• The fourth statement about work is false.

Therefore, the correct answer is:

The power of the friend is greater than the power of the student.