Question

A block of mass m is being pulled upon the rough inclined plane by a man delivering constant power P. The coefficient of friction between the block and the inclined is ÎĽ. The maximum speed of block during ascent is

Answer 1

Answer:

The maximum speed will be P/mg(sinθ+ÎĽcosθ)

Explanation:

According to the problem the mass of the block is m and the mass is pulled by a man with a constant power.

We know, Power , P =  f x v

Now when the block is pulled in upward direction the acceleration of the block is,

a = g(sinθ+ÎĽcosθ)

Therefore,

P = f x v = ma x v [as force f = ma]

v      = P/ ma

v = P/mg(sinθ+ÎĽcosθ)