A block of mass 2kg is lying on a rough inclined plane. The force needed to move the block up the plane with uniform velocity by appling a force parallel to the plane is 100N. The force needed to move the block up withan acceleration of 2 ms-2 is

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A block of mass 2kg is lying on a rough inclined plane. The force needed to move the block up the plane with uniform velocity by appling a force parallel to the plane is 100N. The force needed to move the block up with
an acceleration of 2 ms^-2 is

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96 N

104 N

200 N

100 N

answer is D.

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Detailed Solution

The force needed to move the block will be equal to the component of weight and the friction force offered by the incline.

The force required to move with an acceleration 2m/s²

$F = f + mgsinθ + ma = 100 + 4 = 104 N$

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