Question

Derive the mathemitical expression for newton second law

Answer 1

an inertial reference frame, the vector sum of the forces F on an object is equal to the mass m of that object multiplied by the acceleration a of the object: F = ma. (It is assumed here that the mass m is constant 

Answer 2

Answer:

Answer Expert Verified

4.0/5

1109

Brainly User

Newton's Second law of motion :- The rate of change of momentum is directly proportional to the force applied on the system.  

Force applied is directly proportional to the product of mass and acceleration .

Let  be the initial and final momentums respectively.

According to newton's second law :-  

pf - pi / t ∝ F  

We know that, Momentum ( P) = mv .

Let v be the final and u be the initial velocity .

Now,  

mv - mu / t ∝ F  

F ∝ m ( v-u) /t

F ∝ ma.  

F = kma.  

Here, K is the proportionality constant. It's value is 1 .

Units of Force are given by the units of mass and acceleration. Units of force is Kgm/s² .

In accordance to honour the contributions of Newton, 1 kgm/s² is termed as 1 Newton.