Sat August 11, 2012 By:

please give the derivation of the second law of motion with appropriate signs of equality and proportionality

Expert Reply
Sat August 11, 2012
The second law of motion states that the force exerted on a a body is proportional to the rate of change of momentum of that body.
Let mass of body be m
initial velocity be u and final velocity be v
and time taken for the momentum change be t
Thus rate of change of momentum: m(v-u)/t = ma
here a = (v-u)/t = rate of change of velocity.
thus Force, F = kma
here k is the constant of proportionality.
its value if selected as 1 by keeping the units of other parameters in accordance.
thus F = ma
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