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# Leg Presses. As part of your daily workout, you lie on

ISBN: 9780321675460 31

## Solution for problem 38E Chapter 6

University Physics | 13th Edition

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Problem 38E

Leg Presses.? As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. When you push the platform, you compress the springs. You do 80.0 J of work when you compress the springs 0.200 m from their uncompressed length. (a) What magnitude of force must you apply to hold the platform in this position? (b) How much ?additional? work must you do to move the platform 0.200 m ?farther,? and what maximum force must you apply?

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Solution 38E The work done on springs while they are compressed by a certain distance x is W = kx2…..(1), k is the spring constant. Given that, W = 80 J x = 0.200 m Therefore, from equation (1), 1 2 2 80 J = 2× k × (0.200) m 2 k = 160/(0.200) N/m k = 4000 N/m (a) Therefore, the force to be applied is F = kx F = 4000 N/m × 0.200 m = 800 N Therefore, you have to apply a force of 800 N. (b) If the...

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Leg Presses. As part of your daily workout, you lie on

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