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Imagine that you are in a room and there is a door you want to close. The building is a little biton fire, and there is a fire on the hallway, so you want to close the door to keep the fire on thehallway from coming in the room, but you don’t want to get close.Finding two balls of same mass in the room. One of the balls will stick to the door the other onewill bounce.Which one do you want to throw to the door to impact the max P to the door?

Question

Imagine that you are in a room and there is a door you want to close. The building is a little biton fire, and there is a fire on the hallway, so you want to close the door to keep the fire on thehallway from coming in the room, but you don’t want to get close.Finding two balls of same mass in the room. One of the balls will stick to the door the other onewill bounce.Which one do you want to throw to the door to impact the max P to the door?

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Solution

To maximize the impact (P) on the door, you would want to throw the ball that bounces.

Here's why:

When you throw a ball at the door, it imparts momentum to the door. The momentum (P) of an object is given by the product of its mass (m) and velocity (v), i.e., P = mv.

When a ball hits the door and sticks to it, it imparts a certain amount of momentum to the door. This is equal to the momentum it had just before it hit the door.

However, when a ball hits the door and bounces back, it not only gives its momentum to the door, but also takes some momentum in the opposite direction. This effectively doubles the change in momentum imparted to the door.

So, if you want to maximize the impact on the door, you should throw the ball that bounces.

This problem has been solved

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