Question

derive the mathmatical form of second law of motion​

Answer 1

Answer:

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 .v  We know that, Momentum ( P) = mv . Let v be the final and u be the initial velocity

Answer 2

Answer:

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Explanation:

Let pf and pi 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 honor the contributions of Newton, 1 kgm/s² is termed as 1 Newton.

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