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A block B is pulled by a force of 18 N applied to a light pulley as shown in the figure. If the coefficient of friction is 0.4 and the acceleration of the block is 0.5 ms^–2, the mass of the block is (g = 10 m/s²)

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1 kg

2 kg

3kg

1.5 kg

answer is B.

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Detailed Solution

$\begin{array}{l} F = 2 T \Rightarrow 18 = 2 T; T = 9 N; T - μmg = ma \\ 9 = ma + μmg = m (0.5 + 4.0) \\ m = 2 kg \end{array}$

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