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derive the Newton's second law of motion mathematically.

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 .Let be the initial and final momentums respectively.According to newton's second law :-pf - pi / t ∝ FWe know that,Momentum ( P) = mv .Let v be the final and u be the initial velocity .Now,mv - mu / t ∝ FF ∝ m ( v-u) /tF ∝ 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.



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