First slide

Concept of potential energy

Question

A block attached to a spring pulled by a constant horizontal force is kept on a smooth horizontal surface as shown in figure. The maximum work done by applied force ‘F’, if initially spring is in its natural state

Moderate

A

$\frac{F^{2}}{2 k}$
B

$\frac{F^{2}}{k}$
C

$\frac{{2F}^{2}}{k}$
D

Zero

Solution

$\begin{array}{l} W = ΔK \cdot E \\ F . x - \frac{1}{2} k x^{2} = 0 \\ x = \frac{2 F}{k} \\ W = F . x = F \times \frac{2 F}{k} \\ W = \frac{2 F^{2}}{k} \end{array}$

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