A spring of constant $k$ is fixed to a 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 with reference to 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 $\frac{1}{2} k x^{2}$
Work done by boy to stretch the spring
$= (\frac{1}{2} k x) (S + x)$
Work done by man on the floor
$= - (\frac{1}{2} k x) (S)$
$∴$ Total work done $= \frac{1}{2} k x^{2}$

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A spring of constant k is fixed to a 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 with reference to earth is

The correct option is A 12kx2Work done by boy to stretch the spring=(12kx)(S+x)Work done by man on the floor=−(12kx)(S)∴ Total work done =12kx2

A spring of constant $k$ is fixed to a 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 with reference to earth is

The correct option is A $\frac{1}{2} k x^{2}$
Work done by boy to stretch the spring
$= (\frac{1}{2} k x) (S + x)$
Work done by man on the floor
$= - (\frac{1}{2} k x) (S)$
$∴$ Total work done $= \frac{1}{2} k x^{2}$