Final answer:
To rank the power inputs of the four students, calculate their power outputs by dividing work done by time taken.
Step-by-step explanation:
To rank the power inputs of the four students, we need to compare their power outputs. Power is calculated by dividing work done by time taken. Work done can be calculated using the formula W = mgh, where m is the mass of the student, g is the acceleration due to gravity, and h is the vertical height of the stairs. Let's assume the mass of each student is the same and calculate their power outputs.
- Calculate the work done for each student using the formula W = mgh.
- Divide the work done by the time taken for each student to climb the stairs to calculate their power outputs.
- Rank the power inputs from largest to smallest based on the power outputs calculated in step 2.