Chapter 5.4, Problem 12E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to stretch it from 12 cm to 14 cm, what is the natural length of the spring?

To determine

**To find:**

The natural length of the spring

Explanation

**1) Concept:**

i) Use Hookâ€™s law and formula of work done for finding the natural length of the spring.

ii)

**2) Law and Formula:**

Hookâ€™s law:

The force required to stretch a spring

Where

Work done:

**3) Calculation:**

Let

That is

Means for

By using the formula for work done

Similarly,

That is

Means for

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