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Problem Solving

A body of mas...

Question

A body of mass $20 k g$ is moving on a rough horizontal plane. A block of mass $3 k g$ is connected to the $20 k g$ mass by a string a 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 $(g = 10 m / s^{2})$

0.025

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0.035

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0.35

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0.25

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Solution

The correct option is B $0.035$
$m g - T = m a \Rightarrow 30 - 27 = 3 a \Rightarrow a = 1 m / s^{2} T - μ M g = M a \Rightarrow 27 - μ \times 200 = 20 \Rightarrow μ = \frac{7}{200} = 0.035$

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