# A time dependent force F=6t acts on a particle of mass 1 kg.  If the particle starts from rest, the work done by the force during the first 1 sec. will be : Option 1)  4.5 J   Option 2) 22 J   Option 3)  9 J   Option 4)  18 J

As we discussed in

Work done by time dependent force -

- wherein

Where and are force and velocity vector at any instant

Force is given F = 6t

F = ma = = 6t

(Since m = 1 kg)

dv = 6t dt

On integrating

Therefore v = 3 m/s

Therefore change in kinetic energy in one second  =

Option 1)

4.5 J

This is the correct option.

Option 2)

22 J

This is an incorrect option.

Option 3)

9 J

This is an incorrect option.

Option 4)

18 J

This is an incorrect option.

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