Physics - Elastic Potential Energy

Created: November 30, 2020
Updated: August 25, 2024

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What is the area under a force-extension graph?

Work done.

The energy put into a spring by stretching it is called?

Elastic potential energy.

Stretching a spring over a distance is doing what in relation to work done?

Applying a force over a distance.

PHOTO FORCE EXTENSION AREA What does the area of the triangle represent?

Work done.

PHOTO FORCE EXTENSION AREA What is the formula for the area of the triangle?
\[\frac{1}{2}Fx\]

PHOTO FORCE EXTENSION AREA The formula for the area of the triangle is $\frac{1}{2}Fx$. How could you also write $F$?
\[F = kx\]

PHOTO FORCE EXTENSION AREA Substitute $F = kx$ into $\frac{1}{2}Fx$?
\[\frac{1}{2}kx^2\]

What is the formula for elastic potential energy?
\[E = \frac{1}{2}kx^2\]

Elastic potential energy is directly proportional to…?
\[E \propto x^2\]

If you double extension, what happens to the elastic potential energy?

It quadruples.

How could you calculate the velocity of a compressed spring being released?

Equate kinetic energy to elastic potential energy.



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