Question

Is the impulse-momentum relationship related to Newton's second law

Answer 1

Explanation:

1. Newton's second law is a quantitative description of the effects that a force can have on a body's motion.
2. It states that the temporal rate of change of a body's momentum is identical in size and direction to the force applied to it.

Let a force$F$ act on a body of mass '$m$' for a short interval of time'$t$'.

1. Then impulse of the force $=Ft$
2. Impulse of the force$=mat$
3. Impulse of the force$=m(tv-u)t$.
4. Impulse of the force$=m(v-u)$

Therefore impulse of force is equal to the change in momentum.

Therefore,

1. The rate of change in momentum of an item is equal to the impulse supplied to it, according to the impulse-momentum theorem.
2. $P_2-P_1=I$, Where, $P_2$= Final momentum, $P_1$= Initial momentum, and$I$= Impulse.
3. Newton's second law of motion is logically equivalent to this.

Hence, the impulse-momentum relationship is related to Newton's second law.