A particle of mass 0 . 1 kg is subjected to a force which varies with distance as shown in the figure. If it starts its journey from rest at x = 0 , its velocity at x = 12 m is

Question

A particle of mass 0 . 1 kg is subjected to a force which varies with distance as shown in the figure. If it starts its journey from rest at x = 0 , its velocity at x = 12 m is, 0 m s - 1, 40 m s - 1, 2 0 2 m s - 1, 20 m s - 1

MARKS App · Accepted Answer

Net work done by the force = area under the curve = 4 × 1 0 2 + 4 × 1 0 + 4 × 1 0 2 = 8 0 J According to work-energy theorem ΔK.E. = W net 1 2 m v 2 - 0 = 8 0 or 1 2 × 0 · 1 v 2 = 8 0 v = 1 6 0 0 = 4 0 m s - 1

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