Question

prove that F=ma with respect to momntum​

Answer 1

Explanation:

let mass be m and moving on straight line with an initial velocity u, it is uniformly accelerated to velocity v, in time t by the application of a constant force f , throughout the time t,

initial momentum P1 =mass *initial velocity

final momentum P2= mass*final velocity

the change in momentum ∞ P2 - P1

∞ mv- mu

∞ m *(v-u)

the rate of change of momentum∞ m*(v-u)/t

or, applied force,

F ∞ m*(v-u)/t

F = km *(v-u)/t

= kma

here ,k is constant of proportionality

so ,

F = ma

Answer 2

Answer:

Newton's second law of motion states that the force applied to the system is equal to the time rate of change of momentum.

So, F= dp/dt

But P=mv

So, F= dt/d(mv)

Or F=m x dt/dv

⟹ F=ma