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Q. If a block moving up an inclined plane at $30^{\circ}$ with a velocity of $5\, m / s$, stops after $0.5\, s$, then coefficient of friction will be nearly

Laws of Motion

Solution:

Using $v=u+a t$
retardation will be provided by friction as well as gravitational force
$a=\frac{u}{t}$
$g \sin 30^{\circ}+\mu g \cos 30^{\circ}=\frac{5}{0.5}=10$
$\mu=\frac{1}{\sqrt{3}} \cong 0.6$