Understanding Impulse and Momentum

* Impulse: A change in momentum. It's the force applied over a period of time (Impulse = Force x Time).

* Momentum: A measure of an object's mass in motion (Momentum = Mass x Velocity).

The Relationship

Impulse is equal to the change in momentum.

Calculation

1. Find the change in momentum:

* Initial velocity = 0 m/s (assuming the mass starts at rest)

* Final velocity = 4 m/s

* Change in velocity = 4 m/s - 0 m/s = 4 m/s

* Change in momentum = mass x change in velocity = 12 kg * 4 m/s = 48 kg m/s

2. The impulse is equal to the change in momentum:

* Impulse = 48 kg m/s

Answer: An impulse of 48 kg m/s is required to produce a velocity change of 4 m/s in a 12 kg mass.