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A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upward, as shown in the figure. Work done by n

A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upward, as shown in the figure. Work done by normal reaction on block in time t is:

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By balancing the forces in vertical direction, we get:

$\Rightarrow N-Mg=\frac{Mg}{2}\Rightarrow N=\frac{3mg}{2}$

and displacement is given by equation:

$s=ut+\frac{1}{2}at^2$

where u=0 and a=g/2

$\Rightarrow\vec{S}=\frac{1}{2}\vec{\frac{g}{2}}t^{2}$

and we know,

$W_{N}=\vec{N}.\vec{S}$

$\Rightarrow W=\frac{3mg^{2}t^2}{8}$

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