Question

newton's second law of motion- definition and derivation​

Answer 1

Newton's second law if motion states that rate of change of momentum of a body us directly proportional to the force applied on it and the change in momentum takes place in direction in which force is applied

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Answer 2

Answer:

Definition: Newton's second law of Motion states that the acceleration of an object is directly related to the net force and inversely related to its mass.

Derivation: Since, Force ∝ Change in Momentum  /  Time Taken

Now, momentum is the product of mass and velocity.

Thus, change in momentum is  

Change in Momentum = mv - mu

Thus, we have

Force ∝ (mv - mu)/t

Force ∝  m(v-u) / t

But, (v-u)/t is the acceleration of the body  

Thus,  Force ∝ ma

Force  = kma

k is the constant of proportionality and in SI units, its value is 1.

"F = ma"

This is the equation of Newton's second law of motion.