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Find the work done by an external agent ...

Find the work done by an external agent in lowering a block of mass m slowly on a light of stiffness k, till it comes to rest.

Text Solution

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`W= int F_("ext").dx=int_(0)^(x,0)(mg-kx)dx cos pi`
`=-(mgx_(0)-(kx_(0)^(2))/(2))` ...(a)
Where `kx_(0)=(mg)/(k)` ...(b)
using (a) & (b) . `W_("ext")=-(m^(2)g^(2))/(2k)`
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