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An object of mass 500 g, initially at rest, is acted upon by a variable force whose X component varies with X in the manner shown. The velocities of the object at point X = 8 m and X = 12 m, would be the respective values of (nearly)

Detailed Solution
Work done = area under the F-x graph. Up to x = 8 m: $W=100+30=130$ J $=\Delta KE$, so $130=\frac{1}{2}\times\frac{1}{2}v^2 \Rightarrow v\approx22.8\approx23$ m/s. Similarly up to x = 12 m, $v\approx20.6$ m/s.
