What is Newton 's second law of Motion ??
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Answer:
"The rate of change of momentum is proportional to the applied force and the change of momentum occurs in the direction of force."
What is Momentum?
Momentum is the product of mass and velocity of an object.
P = m v
[ Momentum is a vector quantity. ]
Suppose an object of mass 'm' has an initial velocity 'u'.
Now, When a force 'F' is applied in the direction of it's velocity for time 't', it's velocity becomes 'v'.
Initial momentum of object = mu
It's final momentum after time 't'= mv
Rate of change of momentum = Change in momentum/ time
Rate of change of momentum =
According to the second law of motion, the rate of change of momentum is proportional to the applied force.
ma α f
Therefore, F = k ma ( here, k = constant of Proportionality and it's value is 1.)
=> F = m.a
Remember that,
If the same force is applied on different objects,the change of momentum is the same.