# Your Own a person climbing and descending stairs.

## Problem 67PE Chapter 7

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 67PE

Your Own a person climbing and descending stairs. Construct a problem in which you calculate the long-term rate at which stairs can be climbed considering the mass of the person, his ability to generate power with his legs, and the height of a single stair step. Also consider why the same person can descend stairs at a faster rate for a nearly unlimited time in spite of the fact that very similar forces are exerted going down as going up. (This points to a fundamentally different process for descending versus climbing stairs.)

Step-by-Step Solution:

Step-by-step solution Step 1 of 4 Consider a man climbing up a continuous flight of stairs. If he weighs 76 kg and each stair is 47 cm high, then find out the long term rate at which he can climb the stairs. Assume that the man under consideration can generate a maximum power of 400 W with his legs. Step 2 of 4 The rate at which work done is known as power, and it is given by: The power generated by man’s leg is 350 W, so he can generate energy of 400 Joules per second. The amount of energy spent in taking one stair will be the work done against gravitational force. So, where is the energy spent in climbing on e stair, is the mass, g is the acceleration due to gravity and h is the height of the stair.

Step 3 of 4

Step 4 of 4

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