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 $x$.
Work, Energy and Power
Solution: