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Q.19

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 415

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Short Answer

A student is bouncing on a trampoline. At her highest point, her feet are above the trampoline. When she lands, the trampoline sags before propelling her back up. For how long is she in contact with the trampoline?

She is in contact with the trampoline for

See the step by step solution

Step by Step Solution

Step1: Given data.

Given

Required:

Step2: Solution

The simple harmonic motion begins when student's feet touch trampoline and the time she will be in contact with trampoline is the periodic time which is given by

We need to determine so we sill use conservation's law, At max point potential is max and at kinetic energy is max so

We assume that student go down while she is in contact with trampoline so after going down so is given by

The max velocity is achieved when so it is given by

substitution in yields

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