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PhysicsMediumNumerical2021 · 20 Jul Shift 2

Q21.A body of mass m is launched up on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of friction between the body and plane is √x if the time of ascent is half of the time of descent. The 5 value of x is

What This Question Tests

This question tests the ability to apply Newton's second law on an inclined plane with friction for both upward and downward motion, and then use kinematic equations to relate the times of ascent and descent.

Concepts Tested

Newton's Second LawFrictionKinematicsInclined Plane dynamics

Formulas Used

F_net = ma

f_k = μ_k N

N = mg cosθ

s = ut + 1/2 at^2

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