Answer:
128 joules
Step-by-step explanation:
Imagine you have a carton with a mass of 40 kilograms (like a big box) sliding along a surface at a speed of 3.2 meters per second. Now, you want to stop this carton when it reaches a rough patch on the surface. To do that, you need to apply a force to slow it down and eventually bring it to a complete stop.
The "impulse" in this context refers to the amount of force or push you need to apply to stop the carton. It's a bit like hitting the brakes on a car. The impulse is the "oomph" you need to stop the carton in its tracks.
In this case, you would need to apply an impulse of 128 joules. Joules are a unit of energy, so think of it as the amount of energy you need to use to stop the carton. It's not just about how hard you push, but also for how long you need to push to make it stop.
So, to summarize, the impulse required to stop the carton sliding at 3.2 meters per second on a rough surface is 128 joules, which represents the amount of energy or force needed to bring it to a halt.