Options I am attaching below pls see.

Solution

The figure is attached.

The object is initially at rest.

The graph under the force-displacement curve = Work done

work done from x=0 to x=8 = Change in kinetic energy from x = 0 to x = 8

If velocity at x = 8 be

Then,Area under curve = 12mv12-0=12mv12=20×5+10×3=v1=22.823m/sSimilarly work done from x=8 to x=12 m=change in kinetic energy12m(v22-v12)=-20.5×2-12×0.5×2+10×2=0.52(v22-232)=-41-0.5+20=v22=433.84=v2=20.82 20.6 m/s

So option 4 is correct

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