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A block of mass ‘m’ is placed on the floor of a lift, moving upward with an uniform acceleration a = g. ( $μ$ is the coefficient of friction between block and the floor of lift). If a horizontal force of $μ mg$ acts on the block, then horizontal acceleration of the body is .......

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zero

answer is D.

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Detailed Solution

When lift is moving upward with on acceleration a = g the normal reaction experienced by surface of mass ‘m’ will be

$N = m (g + a) = 2 mg$

Maximum static frictional force $= μ N$

$= μ (2 mg) = 2 μ mg$

As applied force is less than max static frictional force. Hence mass will have acceleration in horizontal direction zero

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