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A body of mass 2kg slides down with an acceleration of 3m/s² on a rough inclined plane having a slope of 30°. The external force required to take the same body up the plane with the same acceleration will be given by

1. 4N
2. 14N
3. 4N
4. 20N

Correct answer: 20N

Solution

To calculate the external force required to move the body up the incline with the same acceleration, we need to consider both the gravitational force acting down the slope and the force needed to achieve the desired acceleration. The total force required is the sum of the gravitational component along the incline and the force needed for acceleration, which results in 20N.

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