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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Running Shoes The soles of a popular make of running shoe

Chapter 8, Problem 71GP

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QUESTION:

Problem 71GP

Running Shoes The soles of a popular make of running shoe have a force constant of 2.0 × 105 N/m. Treat the soles as ideal springs for the following questions. (a) If a 62-kg person stands in a pair of these shoes, with her weight distributed equally on both feet, how much does she compress the soles? (b) How much energy is stored in the soles of her shoes when she’s standing?

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QUESTION:

Problem 71GP

Running Shoes The soles of a popular make of running shoe have a force constant of 2.0 × 105 N/m. Treat the soles as ideal springs for the following questions. (a) If a 62-kg person stands in a pair of these shoes, with her weight distributed equally on both feet, how much does she compress the soles? (b) How much energy is stored in the soles of her shoes when she’s standing?

ANSWER:

Step 1 of 3

Here we need to calculate the compression in the soles of the running shoe and the energy stored in the soles when a girl of mass  is standing on it. In the given case, we need to assume that the soles are similar to the ideal spring with force constant .

Given data,

Mass of the girl,

Force constant,

To find,

(a) Compression,

(b) Energy stored in soles,

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