Q.16

Expert-verifiedFound in: Page 256

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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

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.

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.

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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