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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

Asked in NEET 2005 · Force-displacement graphs

Figure: Force-displacement graphs
Answer: (2) 13.5 J

Step-by-step solution

Given: F=3 N from x=0 to x=3 m, then a straight fall to zero at x=6 m.

Idea: the work is the area under the force-distance graph.

Rectangle: 3×3=9 J.

Triangle: 1/2×3×3=4.5 J.

W=9+4.5=13.5 J.

Why the other options are wrong

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