Mathematical formulation of second law of motion. Explain.

1.	Mathematical formulation of second law of motion. Explain.
Answer» It states that rate of change in momentum is equals to the applied force ..................as we know that force is equals to F=M×a.........(1)(here accelaratiin is defined as a=v-u/t) so putting the value of a in the equ. 1 we have .........F=M(v-u)/t or (Mv-Mu)/t here Mv and Mu are the final and initial momentum of the body so now we have F=(Pf-Pi)/t ....wow this is the newtons second law in mathematical form derived by the definition of force Let mass of an moving object = mLet the velocity of the object changes from \'u\' ; to \'v\' in the interval of time \'t\'This means, Initial velocity of the object = u.Final velocity of the object = vWe know that momentum (p) = Mass x velocityTherefore,Momentum (p) of the object at its initial velocity u = m × u = muMomentum (p) of the object at its final velocity v = m × v = mvThe change in momentum = mv − muRate of change of momentum = (mv−mu)/ t

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