A box is sliding down an incline tilted at a 11.6° angle above horizontal. The box is initially sliding down the incline at a speed of 1.10 m/s. The coefficient of kinetic friction between the box and the incline is 0.390. How far does the box slide down the incline before coming to rest?

0.34 m

Explanation:

We are given that

Initial speed of box=u=1.1 m/s

Coefficient of friction,

We have to find the distance slide down by the box before coming to rest.

Friction force=f=

Where

Net force=

Substitute the values

Substitute the values

Hence, the box slide down the incline 0.34 m before coming to rest.