Question

Derive the mathematical relation of Newton’s second law of motion.​

Answer 1

Explanation:

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Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .

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Answer 2

Answer:

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Explanation:

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.