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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.

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.

Grade:12th Pass

2 Answers

Swapnil Saxena
102 Points
9 years ago

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)


ankitesh gupta
63 Points
8 years ago

 

 

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