A body slides down on an inclined plane of inclination `37^(@)` with horizontal. The distance travelled by the body in time `t` is given by `s = t^(2)`. Find the friction coefficient between the body and the incline.

Explanation

`s = t^(2)`
`v = (ds)/(dt) = 2t`
`a = (dv)/(dt) = 2 m//s^(2)`
Accleration down the place
` a = g sin 37^(@) - mu g cos 37^(@)`
` = 10 xx (3)/(5) - mu xx 10 xx (4)/(5) = 6 - 8 mu = 2 rArr mu = (1)/(2)`