First slide

Concept of potential energy

Question

When a spring is compressed by 3cm, the potential energy stored in it is U. When it is compressed further by 3cm, the percentage increase in potential energy is

Moderate

A

600%
B

500%
C

300%
D

200%

Solution

$\begin{array}{l} U = \frac{1}{2} K 3^{2} = \frac{9 K}{2} \\ U_{f} = \frac{1}{2} k (3 + 3)^{2} = \frac{36 k}{2} \\ \frac{ΔU}{U} % = \frac{U_{f} - U_{i}}{U} = \frac{\frac{36 K - 9 K}{2}}{\frac{9 K}{2}} \times 100 \\ = \frac{\frac{27 K}{2}}{\frac{9 K}{2}} \times 100 = 300 % \end{array}$

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