Question

A force f is acting on an object varies with distance x as shown in fig. The force is in N and x is in m. The workdone by the force in moving the object from x=0 to x=6 is

Answer 1

Answer:

If F-x curve is given then work done can be figured out by the area under F-x curve

Work = area under curve F-x curve between x = 0 to x = 6

Area = 9(square) + 4.5(triangle) = 13.5

Work done = 13.5J

Option(2)

Answer 2

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When a force F acts on an object to displace it through a distance S in its direction,

then the work done W on the body by the force is given by:

Work done = Force × Displacement

W = F × S

Where,

F = 7 N

S = 8 m

Therefore, work done, W = 7 × 8

= 56 Nm

= 56 J

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