Question

Which one requires greater force: (i) to generate motion of a body of mass ‘m’ from 0 to ‘v’ in time ‘t’; or (ii) to generate motion of a body of mass ‘2m’ from 0 to ‘2v’ in time ‘4t’.

Answer 1

Answer:

I think answer is i)

Bcz time is inverse of force. According to 2nd law,

F=m(Vf - Vi/t)

Answer 2

the force required by the body to produce the motion is equal in both cases

Explanation:

• the force required by a body to produce motion can be defined as the rate of change of linear momentum possessed by the body.

In the first case the linear momentum = mv/t

In the second case the linear momentum= 2mx2v/4t = mv/t

• hence the rate of change of linear momentum is equal in the both cases and hence the force required by the body to produce the motion is also equal

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