Show that the rate of change of momentum is equal to product of mass and acceleration.
Let an object of mass ‘m’ is moving along a straight line with initial velocity ‘u’. A constant force ‘F’ is applied in time ‘t’ to accelerate it and its final velocity becomes ‘v’.
Initial momentum, p1 = mu
Final momentum, p2 = mv
Change in momentum p2 - p1
mv – mu
m(v – u)
The rate of change of momentum =
Rate of change of momentum = force applied
Force
Force = k where k = proportionality constant
Force = kma where a = acceleration =