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A body of mass 20kg is moving on a rough horizontal plane. A block of mass 3kg is connected to the 20 kg mass by a string of negligible mass through a smooth pulley as shown in the figure. The tension in the string
is 27 N. The coefficient of kinetic friction between the heavier mass and the surface is (g = 10m/s²)

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0.025

0.035

0.35

0.25

answer is B.

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Detailed Solution

mg−T=ma

⇒30−27=3a

$\Rightarrow a = 1 m / s^{2}$

$T - μMg = Ma$

$\Rightarrow 27 - μ \times 200 = 20$

$\Rightarrow μ = \frac{7}{200} = 0.035$

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