Block of mass $10 \,kg$ is moving on inclined plane with constant velocity $10 \,m / s$. The coefficient of kinetic friction between incline plane and block is ...........
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(b)
$\sum F y=0$
$\Rightarrow N - mg \cos \theta=0$
$\Rightarrow N = mg \cos \theta----(1)$
$Fx =0$ (as constant velocity $\Rightarrow$ No acceleration)
$\Rightarrow mg \sin \theta-\mu_{ k } N =0$
$\Rightarrow mg \sin \theta-\mu_{ k } mg \cos \theta=0$
$\Rightarrow \cos \theta\left(\tan \theta-\mu_{ k }\right)=0$
$\Rightarrow \mu_{ k }=\tan \theta=\tan 37^{\circ}=\frac{3}{4}=0.75$
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