Block, spring & friction on a 37° incline

physics

Problem

A spring is fixed at the bottom end of an incline of inclination

37^\circ

. A small block of mass

2\,\text{kg}

starts slipping down the incline from a point

4.8\,\text{m}

away from the spring. The block compresses the spring by

20\,\text{cm}

, stops momentarily and then rebounds through a distance of

1\,\text{m}

up the incline. Find (a) the friction coefficient between the plane and the block and (b) the spring constant. Take

g = 10\,\text{m/s}^2

(use

\sin 37^\circ = 0.6

\cos 37^\circ = 0.8