Answer to Question #142209 in Physics for Mimi Awina

Question

Calculate work done by a man of mass 60kg who climbs up a stair consisting of 15 step.Given of each steps is 30cm.

Answer 1

The weight of the man (and, thus, the foce he applies against the gravity) is:

$$P = mg = 60kg\cdot 9.81m/s^2 = 588.6N$$

The work done by this force while climbing on one step is:

$$A_1 = Ph = 588.6N\times 0.3m = 176.58\space J$$

where $h = 30cm = 0.3m$ is a height of the step. The work done on the whole stair is:

$$A = 15\times A_1 = 2648.7\space J$$

Answer. 2648.7 J