Why is Force said to be the Rate of Change of Momentum and not the Change in Momentum

Q:- Why is force said to be the rate of change of momentum and not the change in momentum?

Answer:- At first, we have to understand the idea of a rate of change of momentum and change in momentum, then explain why only the force is stated to be the rate of change of momentum, and later we have to find out the similarities or dissimilarities between these two at the end we will find the answer we need.

Let’s first define the rate of change of momentum and change in momentum:-

Rate of change of momentum: Momentum is the amount of motion, the volume of weight moved, and the speed at which it travels is reproduced. If the total outward force working on an object is zero, so the rate of momentum change is also zero, signifying there is no momentum change.

The result of the force that functions over the given duration of time is that the mass of the object either speeds up or delays down (or changes direction). The stimulation participated by the object equals the change in velocity of the object.

Momentum is the product of an object’s mass and its velocity. Momentum is the amount of a vector; it has both magnitude and direction. The second law of motion of Isaac Newton says that the time rate of momentum shift is proportional to the force acting on the particle.

Change in momentum: It is stated that the distinction between the final and initial momentum of the object at its final and initial velocities of it, respectively, is named the change in momentum. 

As shown beneath:

change in momentum = p(final)−p(initial)

Thus, we figure that the force is said to be the rate of change in momentum but not the change in momentum.

The difference and similarities:-

The difference between the change in momentum and the rate of change of momentum is a vector quantity, and velocity is the vector quantity.

Vector is the word having magnitude and direction. A scalar quantity has only magnitude and no direction.