A smooth block is released at rest on a 45° incline and then slides a distance d. The time taken to slide on rough incline is n times as much to slide on a smooth incline. The coefficient of friction

Question

A smooth block is released at rest on a 45° incline and then slides a distance d. The time taken to slide on rough incline is n times as much to slide on a smooth incline. The coefficient of friction is-

TestHub · Accepted Answer

a 1 ​ = g sin θ and t 1 ​ = g s i n θ 2 d ​ ​ = a 1 ​ 2 d ​ ​ on a rough surface. a 2 ​ = g ( sin θ − μ cos θ ) = 2 ​ g ​ ( 1 − μ ) = a 1 ​ ( 1 − μ ) t 2 ​ = a 1 ​ ( 1 − μ ) 2 d ​ ​ Since t 1 ​ t 2 ​ ​ = n = 1 − μ 1 ​ ​ , we have 1 − μ = n 2 1 ​ , which implies μ = 1 − n 2 1 ​ .

Physics - NLM Question with Solution | TestHub

Options:

Doubts & Discussion