First slide
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 increase in potential energy is,

 

Moderate
Solution

\large {U_1} = \frac{1}{2}k{x^2},\vartriangle U = \frac{1}{2}k(x_2^2 - x_1^2)

\large {u_1} = \frac{1}{2}k(9)

\large \vartriangle U = \frac{1}{2}k(27);{U_2} = 3U

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