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Q.16

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 256

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Short Answer

A stretched spring stores 2.0 J of energy. How much energy will be stored if the spring is stretched three times as far?

As a result, the spring's new vitality is released

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Step by Step Solution

Step 1: Introduction

You must exert effort in order to compress or stretch a spring. You must apply a force to the spring that is equivalent to the force the spring applies to you, but in the opposite direction.

Step 2: Explanation

A spring's potential energy is determined by

we have, is the spring constant (a measurement of the spring's stiffness) in , and is the length in metres that the spring has been stretched beyond its equilibrium point.

Step 3: Explanation 

The square of the extension is precisely proportional to the spring's potential energy. The relationship between potential energy and extension is defined as follows:

The following is a representation of the above equation:

from above , = new energy stored in the spring, is the initial energy stored in the spring, is the starting extension, and is the new extension.

all rearrange now as follows:

Putting for and for in equation as follows:

As a result, the spring's new vitality is released .

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