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# Conservation of Momentum in Two Dimensions

## Apply component vectors to solve two dimensional collision problems

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Physics of The Stop Shot

### Physics of The Stop Shot

Credit: Jollytime
Source: http://en.wikipedia.org/wiki/File:8_ball_break_time_lapse.jpg

Everyone from kings to peasants have heard or played a game of billiards. Created in the 15th century, billiards is played by attempting to place certain balls in any of the 6 pockets with the use of a cue ball. Amazingly, every aspect of the game can be explained by classical physics.

#### Amazing But True

• You don't need to be a physicist to be good at pool, but understanding classical mechanics can definitely help. When you hit the ball with the cue stick, you impart a force on a stationary object. Depending on where the cue ball is hit, you transfer both translational and rotational kinetic energy. Once the cue ball makes contact with another ball, it experiences an elastic collision, where there is a change in momentum and kinetic energy.

Credit: Robert Bejil
Source: http://www.flickr.com/photos/28618109@N05/3414837067

Positioning the cue ball for a stop shot takes a lot of practice [Figure2]

• The stop shot is one of the many techniques that professionals use. It consists of hitting the cue ball with enough backward rotation, so when it makes contact with a target ball, all the momentum and kinetic energy is transferred to the target ball. Doing so allows for a player to position the cue ball for their next shot.
• Learn how the stop shot is done:

#### Can You Apply It?

Using the information provided above, answer the following questions.

1. When the cue ball strikes a target ball what quantities are really conserved?
2. Assuming a perfect elastic collision, what can be said about the momentum and kinetic energy of the cue ball during a stop shot?
3. Another technique in pool would require you to have the cue ball roll backwards after it contacts the target ball. Using the information on how a stop shot is performed, how and where would you hit the cue ball to have it roll back to you after it contacts the target ball?

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