A time dependent force F = 6 t acts on a particle of mass 1   kg . If the particle starts from the rest…

A time dependent force F=6t 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:
  1. 18 J
  2. 4.5 J
  3. 22 J
  4. 9 J

Solution

m=1 kg
F=6t
  a=Fm=6t
dvdt=6t
 0v0dv=016t·dt
  v0=6×122=3 m s-1
Δw=kf-ki=12×1×9-0=4.5 J

Asked in: JEE Main 2017 (02 Apr)

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