A large force acting for a short time to produce a finite change in **momentum** is called an **impulsive force.**

**Example: (I) ** Force exerted by a bat, while heating a ball.

**(II)** Blow of hammer on a nail.

#### Expression For an Impulse

Let we consider a constant force F which acts on a body for time ∆t. then the impulse is given by

I = F∆t

According to Newton’s second law

F = dp/dt or F.dt = dp

It in time 0 to t, the **momentum** of the body changes from P₁ to P₂, then

Thus, the **impulse** of a force is equal to the total change in **momentum** produced by a force.

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