Gujarati
Hindi
5.Work, Energy, Power and Collision
normal

A particle of mass $m$ strikes the ground inelastically, with coefficient of restitution $e$

A

$\frac{{\tan \,\alpha }}{{\tan \,\theta }} = e$

B

$\frac{{\tan \,\theta }}{{\tan \,\alpha }} = e$

C

${\tan ^2}\,\theta  + {\tan ^2}\,\alpha  = 1$

D

${\tan ^2}\,\theta  + {\tan ^2}\,\alpha  = {e^2}$

Solution

$\mathrm{v} \cos \alpha=\mathrm{e} \mathrm{u} \cos \theta$             $…(1)$

and $v \sin \alpha=u \sin \theta$                        $…(2)$

$\mathrm{Eq}.(\text { ii }) / \mathrm{Eq}.(i)$

$\frac{v \sin \alpha}{v \cos \alpha}=\frac{u \sin \theta}{\operatorname{eu\,cos} \theta}$

$\tan \alpha=\frac{\tan \theta}{\mathrm{e}} \rightarrow \frac{\tan \theta}{\tan \alpha}=\mathrm{e}$

Standard 11
Physics

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