A force F acting on an object varies with distance x as shown here… | NEET 2005 (AIPMT)

Q22NEET 2005 · AIPMTEasy

Work by a Variable Force

A force F acting

on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is

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Answer: (b)

Work = area under the $F$ - $x$ graph.
From 0 to 3 m (rectangle): $3 \times 3 = 9$ J
From 3 m to 6 m (triangle): $\frac{1}{2} \times 3 \times 3 = 4.5$ J
Total $W = 13.5$ J, so the answer is (b) 13.5 J.

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