Question

Prove that F=ma................

Answer 1

Statement ;
According to Isaac Newton..
The rate of change of momentum of an object is directly proportional to applied unbalanced force in the direction of force.

Derivation ;
Let us suppose that an object of mass, m is moving along a straight line with an initial velocity, v. It's applied force, F.
Initial momentum = mu = p1
Final momentum = mv = p2
The change of in momentum proportional to p2 - p1
mv - mu
m( v - u)
According to the second law of motion
The rate of change of momentum is indirectly proportional to m×(v-u) /t
Or the applied force is directly proportional to m(v-u) /t {a=v-u/t}
F is directly proportional to ma
F = kma
K is the constant of proportion.

A body is appling a force of 1kg with due 1m/s^2 is equal to the 1 Newton.

... Hope you got it....

Answer 2

Hey here is your answer :

I hope it helps..........