A body is moving is down an inclined plane of slope `37^@` the coefficient of friction between the body and the plane varies as `mu=0.3x`, where x is the distance traveled down the plane by the body. The body will have maximum speed. `(sin 37^@ =(3)/(5))` . a) at x = 1.16 m b) at x = 2m c) at bottom most point of the plane d) at x = 2.5 m

Options

A. At x=1.16 m
B. At x=2 m
C. At bottom of plane
D. At x=2.5 m

Answer

D

Explanation

(d) Body will have maximum speed where,
`mg sin theta=mu mg cos theta`
or `" " sin37^(@)=(0.3x).cos37^(@)" or " x=2.5 m`