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Mathematical formulation of second law of …

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Mathematical formulation of second law of motion. Explain.
  • 2 answers

Jp Soni 7 years, 6 months ago

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

Yogita Ingle 7 years, 6 months ago

Let mass of an moving object = m

Let 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 = v
We know that momentum (p) = Mass x velocity
Therefore,
Momentum (p) of the object at its initial velocity u = m × u = mu
Momentum (p) of the object at its final velocity v = m × v  = mv
The change in momentum = mv − mu
Rate of change of momentum = (mv−mu)/ t

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