Question
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)
Responses
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 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 work done by the friend is less than the work done by the student.
Responses
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 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 work done by the friend is less than the work done by the student.
Answers
GPT-4o mini
To determine the true statement, let's analyze the relevant concepts:
1. **Work** is defined as the product of force and distance. In this case, both the student and the friend are walking up the same hill with the same mass, which means they are performing the same amount of work against gravity (assuming they are both moving vertically the same distance).
2. **Power** is defined as the rate at which work is done, calculated as work divided by time.
Since the friend completes the journey in less time but is performing the same amount of work (as both are climbing the same hill), the friend must be exerting more power.
Thus, the correct statement is:
**The power of the friend is greater than the power of the student.**
1. **Work** is defined as the product of force and distance. In this case, both the student and the friend are walking up the same hill with the same mass, which means they are performing the same amount of work against gravity (assuming they are both moving vertically the same distance).
2. **Power** is defined as the rate at which work is done, calculated as work divided by time.
Since the friend completes the journey in less time but is performing the same amount of work (as both are climbing the same hill), the friend must be exerting more power.
Thus, the correct statement is:
**The power of the friend is greater than the power of the student.**