Question

A coin lies on a plane whose inclined is equal to the coefficient of friction. In the horizontal direction along the plane, the coin was imparted with the velocity u. Find the steady-state speed of the coin.

Answer 1

According to question,

$\theta=tan^{-}\mu$

Initial velocity imparted $=u$

Acceleration in horizontal direction, $a=gsin\theta=gsin(tan^{-}\mu)$

Let the length of incline $=l$

Let steady state speed of coin $=v$

Let time taken to reach steady state speed $=t$

$v=u+at$

$v=u+gsin(tan^{-}\mu)t$