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 the points X $$=$$ $$8$$ m and X $$=$$ $$12$$ m, would have the respective values of (nearly)

Question

Infinity Learn · Accepted Answer

From $$work-energy$$ theoremΔ$$K=$$ work $$=$$ area under $$F-x$$ graph  From x $$=$$ $$0$$ to x $$=$$ $$8$$ m $$12mv2=100+30$$ $$v2=520$$ $$v=520$$≃$$23$$ $$m/s$$ From x $$=$$ $$0$$ to x $$=$$ $$12$$ m $$12mv2=100+30-47.5+20$$ $$v=410$$ v≃$$20.6$$ $$m/s$$ Hence appropriate option is $$23$$ $$m/s$$ and $$20.6$$ $$m/s$$

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 the points X = 8 m and X = 12 m, would have the respective values of (nearly)

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