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Kinetic energy of a particlemoving in a straight line is proportional to the time t.The magnitude of the force acting on the particle is
a.directly proportional to the speed of the particle
b.inversely proportional to √t
c.inversely proportional to the speed of the particle
d.directly proportional to √t
Plz explain ur answer.
The option (c) i.e inveresely proptional to the speed of the partice might be correct.
Let the Kinetic Energy of the particle is = E
Then E = kt (where k is a constant)
At time t=0 , particle Energy =0
Under a variable force its velocity increses from 0 to E in t seconds
Then E= integration of F . ds
ds can be written as V.dt (velocity) thus E = integration of F . v dt
kt= integration of Fv dt
k.dt= Fv.dt
k= Fv
F= k/v (c.) ----------(ans)
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