Chapter 8, Problem 7A

Does impulse equal momentum, or a change in momentum?

To determine

Whether the impulse is equal to the momentum or to the change in momentum.

Answer to Problem 7A

Impulse is equal to the change in momentum.

Explanation of Solution

Introduction:

When a force is applied on an object for some time, an impulse is transferred on it given by,

  $\text{Impulse = Force}\times \text{time}$

More the impulse on the object, more is the change in its momentum. Hence,

  $F\Delta t=\Delta p$

Where,

  $F=$ force exerted on an object

  $\Delta t=$ time taken to change its momentum

  $\Delta p=$ change in momentum of the object

Conclusion:

As can be seen from above formula, the impulse on any object is equal to the change in the momentum of the object.