proove F =ma(class 11th physics)
Answer (1)
7th Apr, 2021
Hi,
The proof for F=ma is as follows:
According to Newton's second law of motion, force is equal to rate of change of momentum,
so, consider a mass m, moving with the initial velocity u,and after a certain time t, the velocity changes to v.
So, initial momentum, p 1 = m × u
final momentum,p 2 = m × v
Rate of change of momentum will be,
p 2 – p 1 = (m × v) – (m × u)
p 2 – p 1 = m (v – u)
We know that rate of change of momentum is directly proportional to force,
F ∝ [m (v – u)]/t
F ∝ m × a [v-u/t=a]
Therefore, we get F=kma where k=1
thus F=ma
I hope this helped you.
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