derieve mathematical relation between force and acceleration
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m = mass of an object; u = initial velocity; v = final velocity;
t = time interval; F = constant force
P1 = mu = Initial momentum of the object
P2 = mv = Final momentum of the object
The change in momentum = P2 – P1
= mv – mu
= m (v – u)
The rate of change of momentum = 

The unit of force is so chosen that the value of the constant k becomes one.
So, F = ma
(b) One Newton is defined as the amount of force exerted on a body of mass 1 kg to produce an acceleration of 1 m/s2.
(c)

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