A block is released from rest at the top of a long rough incline that makes an angle…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

1.5\,\text{kg}

block is released from rest at the top of a

2.0\,\text{m}

long rough incline that makes an angle of

25^{\circ}

with the horizontal. The coefficient of kinetic friction on the incline is

0.15

. After reaching the bottom, the block slides

0.40\,\text{m}

across a rough horizontal surface (coefficient of kinetic friction

0.10

) before compressing an ideal horizontal spring of force constant

400\,\text{N/m}

. The block comes momentarily to rest after compressing the spring. What is the maximum compression of the spring? (a)

0.14\,\text{m}

(b)

0.34\,\text{m}

(c)

0.19\,\text{m}

(d)

0.24\,\text{m}