JEE MainPhysicsModerateWork Power & Energy

The force exerted by a compression device is given by
$F(x) = kx(x - \lambda)$ for $0 \leq x \leq \lambda$ , where $\lambda$
is the maximum possible compression, x is the compression and k is a
constant. The work required to compress the device by a distance d will
be maximum when

Show answer and solution

For W to be maximum
i.e.

F(x) = 0 \Rightarrow x = \lambda,x = 0

Clearly for

d = \lambda

,the work done is maximum.

Source: Grass-G / P-06 Physics paper 14 October.docx

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