Question

A block of mass m takes t to slide down on a smooth inclined plane of angle of inclination and height h. If same block slids down on a rough inclined plane of same angle of inclination and some height and takes time n times of initial value, then coefficient friction between block and inclined plane is

the answer is [1- 1/n² ] tanθ

Joshi sir comment

in first case acceleration is gsinθ

and in second case acceleration is gsinθ-μgcosθ

now use s = 1/2 a tin both the case and solve 

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