Mathematical formula of Newton's second law of motion
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Answer:
The Mathematical formula of Newton's 2nd law of motion is F = ma, or force is equal to mass times acceleration.
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Answer:
Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v. Here we see that, the initial momentum
p1=mu
The final momentum
p2=mv
The change in momentum can be written as
p2-p1 = mv-mu
= m(v-u)
As we know, the rate of change of momentum with respect to time is proportional to the applied force. The applied force
F proportional to m(v-u)/t
Or,
F proportional to ma
as acceleration (a) = rate of change of velocity with respect to time.
F = kma
k is constant so, k= 1
therefore
F= ma
Above is the second law of motion formula.
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