A moving railway compartment has a spring of constant k fixed to its front wall. A boy stretches this spring by distance x and in the mean time the compartment moves by a distance s. The work done by boy w.r.t. earth is

$\frac{1}{2} k x^{2}$

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$\frac{1}{2} (k x) (s + x)$

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$\frac{1}{2} k x s$

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$\frac{1}{2} k x (s + x + s)$

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Solution

The correct option is A
$\frac{1}{2} k x^{2}$

Total work done is equal to the energy stored in the spring.

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Q. One end of a light spring of spring constant k is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacement, the work done by the spring is

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. The possible cases are
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One end of a light spring of spring constant k is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacement, the work done by the spring is $\frac{1}{2} k x^{2}$ . The possible cases are

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A moving railway compartment has a spring of constant k fixed to its front wall. A boy stretches this spring by distance x and in the mean time the compartment moves by a distance s. The work done by boy w.r.t. earth is

The correct option is A 12kx2 Total work done is equal to the energy stored in the spring.

The correct option is A
$\frac{1}{2} k x^{2}$

Total work done is equal to the energy stored in the spring.