Question

Two cyclists, who weigh the same and have identical bicycles, ride up the same mountain, both starting at the same time. Joe rides straight up the mountain, and Bob rides up the longer road that has a lower grade. Joe gets to the top before Bob. Which statement is true?
A) Ignoring friction and wind resistance, Bob and Joe exerted the same amount of work, and the average power of each cyclist was also the same.
B) Ignoring friction and wind resistance, the amount of work done by Joe is equal to the amount of work done by Bob, but the average power exerted by Joe is greater than that of Bob.
C) Ignoring friction and wind resistance, the average power exerted by Bob and Joe was the same, but Joe exerted more work in getting there.
D) Ignoring friction and wind resistance, the amount of work done by Joe is greater than the amount of work done by Bob, and the average power exerted by Joe is greater than that of Bob.

Answer 1

Answer:

Option-A

Explanation:

In the given question, two cyclists of equal weight are riding the same mountain with cycles of the same weight but Joe reaches the top before Bob.

This scenario can be explained in terms of power and if we ignore the force of wind resistance and friction. Power refers to the work done per unit time, therefore, P= W/t. Since Joe rides up straight earlier than Bob shows that Joe has exerted more power than Bob that is the amount of work done by the Joe is greater than Bob.

Thus, Option-A is the correct answer.