A time dependent force F = 6 t acts on a particle of mass 1 kg . If the particle starts from the rest, the work done by the force during the first 1 sec will be:

Question

A time dependent force F = 6 t acts on a particle of mass 1 kg . If the particle starts from the rest, the work done by the force during the first 1 sec will be:, 18 J, 4.5 J, 22 J, 9 J

MARKS App · Accepted Answer

m = 1 kg F = 6 t ∴ a = F m = 6 t d v d t = 6 t ∴ ∫ 0 v 0 d v = ∫ 0 1 6 t · d t ∴ v 0 = 6 × 1 2 2 = 3 m s - 1 Δ w = k f - k i = 1 2 × 1 × 9 - 0 = 4.5 J

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