Question

State Newton’s second law of motion. Derive a mathematical expression for Newton’s second law.

Answer 1

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.

Answer 2

Answer:

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