Physics, asked by Anonymous, 6 months ago

Mathematical formula of Newton's second law of motion

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Answered by Anonymous
3

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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Answered by DeniseHere
6

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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