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Physics / Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3 / Chapter 11 / Problem 7CQ

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight

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QUESTION:

Problem 7CQ

You need to raise a heavy block by pulling it with a massless rope. You can either (a) pull the block straight up height h, or (b) pull it up a long, frictionless plane inclined at a 15° angle until its height has increased by h. Assume you will move the block at constant speed either way. Will you do more work in case a or case b? Or is the work the same in both cases? Explain.

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QUESTION:

Problem 7CQ

You need to raise a heavy block by pulling it with a massless rope. You can either (a) pull the block straight up height h, or (b) pull it up a long, frictionless plane inclined at a 15° angle until its height has increased by h. Assume you will move the block at constant speed either way. Will you do more work in case a or case b? Or is the work the same in both cases? Explain.

ANSWER:

Step 1 of 3

The objective here is to investigate the work done in two cases raising a heavy block with a massless rope,

(a) In pulling it straight \(u_{p}\) height \(h\)

(b) Through a frictionless inclined plane.

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