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

100 N

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200 N

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96 N

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104 N

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Solution

The correct option is D $104 N$
Let angle of inclination is $θ$ as shown in figure.
Given , Velocity is moving with uniform velocity so block is in equilibrium.
$\Rightarrow m g s i n θ = 100 N$
Let Force $F$ is applied to the block parallel to the inclined plane to move the block with acceleration $a = 2 m / s^{2}$
$\Rightarrow F - m g s i n θ = m a$ $\Rightarrow F = m g s i n θ + m a$
$\Rightarrow F = 104 N$

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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 force parallel to the plane is 100 N. The force needed to move the block up with an acceleration of 2 ms−2 is

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