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A block of mass 2 kg is lying on a rough inclined plane. The force needed to move the block up the plane with uniform velocity by applying a force parallel to the plane is 100 N. The force needed to move the block up with an acceleration of $4 m s^{- 2}$ is

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100 N

200 N

96 N

108 N

answer is D.

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Detailed Solution

$F_{u p} = m g (\sin θ + μ_{K} \cos θ) + m a$

$= 100 + 2 \times 4 = 108 N$

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