1.

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

Answer»

Solution :`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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