A moving railway compartment has a spring of constant \( k \) fixed to its front wall. A boy str...

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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
(1) \( \frac{1}{2} k x^{2} \)
(2) \( \frac{1}{2}(k x)(s+x) \)
(3) \( \frac{1}{2} k x s \)
(4) \( \frac{1}{2} k x(s+x+s) \)
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