Question

An object of mass `m` is allowed to fall from rest along a rough inclined plane. The speed of the object on reaching the bottom of the plane is proportional to:
A. `m^(0)`
B. `m`
C. `m^(2)`
D. `m^(-1)`

Answer 1

From work work energy principal.
`(1)/(2) mv^(2) = mgh - mu mg cos theta (h)/(sin theta)`
`v - sqrt(2 gh - 2mu mg cos theta)` or `v prop m^(0)`.