Work done in time t on a body of mass m which | vedclass

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Question

$ \mathrm{v}=\mathrm{u} +\mathrm{at}_{1} $

$ \mathrm{u}=0  \Rightarrow \mathrm{a}=\frac{\mathrm{v}}{\mathrm{t}_{1}} $

Work $=\Delta \mathrm

Vedclass · Accepted Answer

$\frac{1}{2}m\frac{{{v^2}}}{{t_1^2}}\,{t^2}$

Vedclass · Answer

$ \mathrm{v}=\mathrm{u} +\mathrm{at}_{1} $

$ \mathrm{u}=0  \Rightarrow \mathrm{a}=\frac{\mathrm{v}}{\mathrm{t}_{1}} $

Work $=\Delta \mathrm{k}=\mathrm{k}_{\mathrm{f}}-\mathrm{t}_{\mathrm{i}} $

$=\frac{1}{2} \mathrm{mv}^{2}-\Delta=\frac{1}{2} \mathrm{m}[\mathrm{at}]^{2}=\frac{1}{2} \mathrm{ma}^{2} \mathrm{t}^{2} $

Work $ =\frac{1}{2} \mathrm{m}\left[\frac{\mathrm{v}}{\mathrm{t}_{1}}\right]^{2} \mathrm{t}^{2} $

Work done in time $t$ on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_1$ as a function of time $t$ is given by

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