A body is moved in a direction opposite to the direction of force acting on it. State whether the work is done by the force or work is done against the force.

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Assertion : A body is moved from x=2 to x=1, under a force F=4x, the work done by the force is negative. Reason: Force and displacement are in opposite directions.

The correct option is A Both Assertion and Reason are true and the Reason is correct explanation of AssertionW=∫→F.→ds=∫12(4x)dx=2x2|12=−6 J Here, →F and →ds are in opposite direction w.r.t to each other therefore negative work.

Assertion : A body is moved from $x = 2$ to $x = 1$ , under a force $F = 4 x$ , the work done by the force is negative.
Reason: Force and displacement are in opposite directions.

The correct option is A Both Assertion and Reason are true and the Reason is correct explanation of Assertion
$W = \int \to F . \to d s = \int_{2}^{1} (4 x) d x = 2 x^{2} |_{2}^{1} = - 6 J$
Here, $\to F$ and $\to d s$ are in opposite direction w.r.t to each other therefore negative work.