A body of mass 5 kg is kept on a rough horizontal surface. It is found that the body does not slide if a horizontal force less than 30 N is applied to it. Also, it is found that it takes 5 seconds to slide throughout the first 10 m if a horizontal force of 30 N is applied and the body is gently pushed to start the motion. Taking g= 10 m/s 2 , calculate the coefficients of static and kinetic friction between the block and the surface.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(μ s = 0.60, μ k = 0.52)
Sol.
30 = μ s mg ⇒ 30 = μ s × 5 × 10 ⇒ μ s = 0.6.
Again,
μ k N
μ k mg
S = 
at 2
⇒ a = 
= 
= 0.8.
30 – μ k mg = m × 0.8 ⇒ μ k = 
= 0.52
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