Two men of the same mass climb the same flight of stairs. The first man climbs the stairs for 25 seconds, while the seconds person takes 35 seconds. Which man does the most work?

Work = F*d = Mg * d.

Their wt. and distance was the same;
therefore, they did the same amount of work.

To determine which man does the most work, we need to understand the concept of work and how it is related to the time taken to climb the stairs.

Work is defined as the amount of energy transferred by a force over a certain distance. In the context of climbing stairs, work is done against the force of gravity.

The amount of work done is given by the equation: work = force × distance × cos(θ), where force is the force exerted (in this case, the weight of the person), distance is the distance traveled (the height of the stairs), and θ is the angle between the force and the direction of travel (which is 0 degrees when climbing stairs vertically).

Since the two men have the same mass, their weights are equal, and therefore, the force exerted is the same for both of them. The distance traveled (the height of the stairs) is the same for both as well.

Thus, the only difference between the two men is the time taken. Assuming they exert the same force to climb the stairs, the work done can be related to the time taken.

We can calculate the work done by dividing the distance traveled by the time taken. Let's assume the distance is D. For the first man, the work done is D/25 seconds, and for the second man, the work done is D/35 seconds.

Comparing the two, we can see that the first man completes the same amount of work in a shorter time than the second man. Therefore, the first man does more work, as he completes the same task in a shorter duration.