**Question 9:** What is impulse? How it is related to the change of momentum? (Or show that J = ∆P)

**ANSWER**

In many instances large forces act on bodies for a very small interval of time. In such cases, it is very difficult to make exact calculations. Therefore, we usually use the concept of impulse.

**Definition:** When large forces act for a very small interval of time, the phenomena is called impulse. It is represented by J.

Such a force is called impulsive force and the time as time of impact.

Mathematically,

Impulse = impulsive force * time of impact

If the force is a varying one, we take the average of the force then.

**Relation between impulse and change in momentum**

The relation can be derived by the Newton’s second law.

But

Put for ‘a’ in the first equation

This shows the relation between momentum and impulse.

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