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Q.

A body of mass 2 kg slides down with an acceleration of 3 m/s² on a rough inclined plane having a slope of 30⁰. The external force required to take the same body up the plane with the same acceleration will be :
(g=10 m/s² )

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a

20 N

b

14 N

c

6 N

d

4 N

answer is B.

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Detailed Solution

When the block is sliding down

$Mgsinθ - f = Ma$

$10 - f = 6 \Rightarrow f = 4 N$

Equation of motion when the block is pushed up
Let the external force be F

$\Rightarrow F - Mgsinθ - f = Ma \Rightarrow F - 10 - 4 = 6 \Rightarrow F = 20 N$

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A body of mass 2 kg slides down with an acceleration of 3 m/s2 on a rough inclined plane having a slope of 300. The external force required to take the same body up the plane with the same acceleration will be :(g=10 m/s2 )