A body of mass 10 kg is moving with an initial speed of 20 m s - 1 . The body stops after 5 s due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleratio

Question

A body of mass 10 kg is moving with an initial speed of 20 m s - 1 . The body stops after 5 s due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleration due to gravity g = 10 m s - 2 )

TestHub · Accepted Answer

Friction force wil act opposite to the motion of the body.

$F = μ N = μ m g$

$\Rightarrow a = - μ g (-ve sign for direction relative to the motion of body)$

Now, applying equation of motion, we get

$v = u + a t$

$\Rightarrow 0 = 20 + (- μ \times 10) \times 5$

$\Rightarrow 50 μ = 20$

$\Rightarrow μ = 0.4$

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