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Q. The figure shows a spring fixed at the bottom end of an incline of inclination $53^{\circ} .$ A small block of mass $1 \,kg$ starts slipping down the incline from a point $9.5\, m$ away from the free end of the spring. The block compresses the spring by $50 \,cm$, stops momentarily and then rebounds through a distance of $5 \,m$ (from maximum deformed state of spring) up along the incline. If the value of friction coefficient is $\frac{4}{x}$, then find the value of $x$.Physics Question Image

Work, Energy and Power

Solution:

Applying work-energy theorem,
$m g \sin 53^{\circ} \times 5$
$=\mu m g \cos 53^{\circ} \times 15$
$ \Rightarrow \mu=\frac{4}{9}$