Question

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A marble of mass ‘m’ at rest is pushed with force ‘F’ , it starts traveling with velocity ‘v’ in time ‘t’. Which option correctly relates the force with change in momentum?

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Answer 1

Answer:

F=mv/t

Explanation:

F=mv/t

rate of change in momentum = mass x velocity / time

Answer 2

Given Info : A marble of mass ‘m’ at rest is pushed with force ‘F’ , it starts traveling with velocity ‘v’ in time ‘t’.

To find : The relation between the force and change in momentum.

solution : marble is at rest initially. so the initial velocity of marble, u = 0.

now a force F is applied on the marble. marble starts to move with velocity v in time t.

so final velocity of marble = v

From Newton's 2nd law, force is the rate of change of linear momentum with respect to time.

so, Force = change in linear momentum/time

⇒F = change in linear momentum/t

⇒Ft = change in linear momentum....(1)

also initial momentum = mu = 0

final momentum = mv

so change in momentum = final momentum - initial momentum = mv - 0 = mv

from equation (1) we get,

Ft = mv