?

Classical Mechanics

Free Version

Upgrade subject to access all content

Difficult

Spring, Friction and Incline

CLMECH-1DYIRE

A block of mass $1.4$ $kg$ is on an incline with angle $\theta = 18^o$ (Fig. 1). The block is pushed against a spring so that the spring is compressed by $0.21$ $m$. The spring constant is $96$ $N/m$ and the block is not attached to the spring.

The spring is suddenly released and it pushes the block up the incline. The block stops after traveling $0.32$ $m$ along the incline (Fig. 2).

How much is the coefficient of kinetic friction between the block and the incline?

Figure 1

Figure 2

A

$0.28$

B

$0.11$

C

$0.17$

D

$0.36$