PROOF THAT 1 NEWTON OF FORCE = PRODUCT OF MASS AND VELOCITY
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Answer:
force =m multiplied by a where m is mass of the body having 1 kg and a is acceleration of 1m/s of the body .when we multiply m and a ,we get the dimension of force to me N.thus force means product of mass and acceleration and not the product of mass and velocity.
According to Newton's second law of motion, The rate of change of momentum is proportional to the applied force.
Consider a body of mass m having a velocity u. It's initial momentum= mu.
Suppose a force For acts on the body for time t. Now it's velocity changes to v. so it's momentum becomes mv.
From the first statement,,
F is proportional to (mv - mu) /t
So, F is proportional to m(v-u) /t
But, (v-u) /t = Acceleration(a)
So, F is proportional to ma
Thereby, F = kma(where k is a constant)
In S.I units, k = 1
So, the equation becomes F = ma