Question

Consult Interactive Solution 4.65 before beginning this problem. A toboggan slides down a hill and has a constant velocity. The angle of the hill is 6.00° with respect to the horizontal. What is the coefficient of kinetic friction between the surface of the hill and the toboggan

Answer 1

`\mu_k=0.14`

Step-by-step explanation:

It is given that,

The angle of the hill is 6.00° with respect to the horizontal. Let
`\mu_k` is the coefficient of kinetic friction between the surface of the hill and the toboggan.

A toboggan slides down a hill and has a constant velocity. On an inclined plane, force of friction will also act.

Force of friction,
`f_k=mg\ sin\theta`...........(1)

Normal force,
`N=mg\ cos\theta`............(2)

From equation (1) and (2) :

`\mu_kmg\ cos\theta=mg\ sin\theta`

`\mu_k=tan\theta`

`\mu_k=tan(8)`

`\mu_k=0.14`

So, the coefficient of kinetic friction between the surface of the hill and the toboggan is 0.14. Hence, this is the required solution.