Question

Can anyone tell me how to Prove F=ma....?

Answer 1

How to Prove F = ma ?

ANSWER :

Newton's 2 law :-

Rate of Change of momentum is directly proportional to the applied force.

Given,

rate of change of momentum is directly proportional to its applied force.

Momentum =P = mv 

Rate of change of velocity = Pf - Pi /t

Here Pi is the initial momentum, 

Pf is the final momentum 

Here ,

Pf - Pi /t ∝F 

mv- mu /t ∝ F 

we know that final and initial velocities are considered v,u respectively there. 

m( v - u)/t ∝F 

F ∝ ma 

now,

we take acceleration = v-u/t

So for removing proportionality I am introducing a proportionality constant Say K 

so, F= maK 

K =1 

F = ma

∴ F = m*a 

∴ after deriving, it gives definition of force. 

Force is the product of the mass of the object and acceleration produced to.