A block is released from rest at the top of a incline of length

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

4\,\text{kg}

block is released from rest at the top of a

30^{\circ}

incline of length

4\,\text{m}

. The coefficient of kinetic friction on the incline is

0.10

. After reaching the bottom, the block moves

2\,\text{m}

on a horizontal rough surface where the coefficient of kinetic friction is

0.20

and then compresses a spring of constant

400\,\text{N\,m}^{-1}

. Determine the maximum compression of the spring. Take

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

and

\cos 30^{\circ}=0.866

. (a)

0.72\,\text{m}

(b)

0.50\,\text{m}

(c)

0.56\,\text{m}

(d)

0.63\,\text{m}