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 :
4.5 J
22 J
9 J
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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