Question

Assertion :The acceleration of a body moving up a rough inclined plane when it is pulled up by a force, depends only on its mass. Reason: Frictional force acts in the direction of the applied force.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is D Both Assertion and Reason are incorrect

The force required to move a body up an inclined plane having coefficient of friction $\mu$ is given by:

$F=mg(sin\alpha +\mu cos\alpha )$. So the acceleration of the body will be:

$a=F/m=g(sin\alpha +\mu cos\alpha )$ which is independent of its mass.

in this case friction acts opposite to the applied force.