Physics

Problem

A body starts from rest on a long inclined plane of slope

45^\circ

. The coefficient of friction between the body and the plane varies as

\mu = 0.3x

, where

x

is distance travelled down the plane. The body will have maximum speed (for

g = 10 \text{ m/s}^2

) when

x =

9.8 \text{ m}

27 \text{ m}

12 \text{ m}

3.33 \text{ m}