Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 6 - Work and Energy - Questions: 23

Answer

When one goes straight up, a large force is needed to counteract gravity (which acts straight downward), and a large power is also needed. If one takes a zigzag trail, the required force is smaller (it must be applied over a longer distance, to do the same amount of work) and less power is required (assuming the climbing time is longer).

Work Step by Step

If the mountain has height h and the climber has mass m and weight mg, the amount of work done to lift the climber to the top is mgh. If the entire process requires a time T, then the power supplied is $\frac{mgh}{T}$. Taking more time to do the work in the zigzag path and taking steps that are less steep requires less power output from the climber.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.