Pool Players: Answer this collision question

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In summary, when playing pool, the physics explanation for why one ball becomes stationary and the other takes on all the velocity after a collision is due to the conservation of both momentum and kinetic energy in near-ideal elastic collisions. This means that the second ball must have all the velocity, making the first ball left stationary. However, factors such as spin and the nature of the pool table can affect this outcome. Skilled players can control the motion of the cue ball by adjusting the backspin and rolling forward motion before and after the collision.
  • #1
gauss44
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What is the physics explanation of why, when you play pool, and one ball slams into another ball, does the ball originally in motion become stationary and the other ball takes on all the velocity?
 
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  • #2
gauss44 said:
does the ball originally in motion become stationary and the other ball takes on all the velocity?
Not always.
You can use momentum to solve these kind of problems
 
  • #3
If the two balls have the same mass, the collision is head on, energy is conserved, and the cue ball wasn't spinning, the only way to conserve both energy and momentum is if the cue ball stops and the other ball takes all the velocity. Notice all the ifs.
 
  • #4
Newton's cradle is a more ideal example of the same thing happening. You can do the same thing with coins on a smooth table, when a moving one hits a stationary one.

In 'words', a fair explanation is that momentum and kinetic energy are both conserved in these near-ideal (elastic) collisions. The total momentum is (always) conserved so it is carried by just the moving ball, initially. In elastic collisions, no Kinetic Energy is lost and the parting velocity is the same as the approach velocity. For those two conditions to be met, the second ball must have all the velocity (momentum), so the first ball must be left stationary.

Spin and the nature of the pool table mean that the above rule of thumb is not always followed.
There is another useful rule of thumb in these situations and that is, the second ball will always travel away from the impact along the 'line of centres' of the two balls. That's because the only force on the balls is radial from the contact point.
 
  • #5
Getting the cue ball to stop dead at collision is one of the primary techniques in pool. The way it is done is by ensuing that the cue ball is not spinning at contact with the target ball.

Hitting the cue ball, by striking high, middle, or low, will determine whether it spins forward or backward immediately after the strike. A backspin means that the ball is sliding and rotating backward before transitioning to rolling forward. The skillful player who wants to stop the cue dead at collision makes the cue ball's transition point between backspin and rolling forward coincide with the event of contact.

By adjusting this back and forth, he can also make the cue ball roll slightly forward or backward after contact to assume a desired resting position, and likewise for shots where the collision is offset to make these motions at an angle (except you can't do the dead stop on an angle collision, but you can control the resting position of the cue ball).

If you mark some stripes on the cue ball and hit it low, you will see that for the first part of its motion forward the cue ball is spinning backwards, then friction slows this until it is sliding without rolling for just an instant, then it begins to take a forward rolling motion.

The dead stop is when the cue hits the target when the cue is in the sliding non-rolling state of its motion.
 

FAQ: Pool Players: Answer this collision question

1. What is a collision in pool?

A collision in pool is when the cue ball strikes another ball on the table, resulting in a change in the balls' positions and movements.

2. How do collisions affect the game of pool?

Collisions are a crucial aspect of the game of pool as they determine the outcome of each shot and ultimately the game itself. Collisions between the cue ball and other balls can result in balls being pocketed, or their positions and movements being altered, affecting the player's strategy and chances of winning.

3. What factors influence the outcome of a collision in pool?

The outcome of a collision in pool is influenced by various factors, including the angle at which the cue ball strikes the other ball, the speed and spin of both balls, and the type of contact made between the two balls.

4. Can collisions in pool be predicted or controlled?

In general, collisions in pool cannot be fully predicted or controlled as they are affected by many variables. However, experienced players can use their knowledge and skill to aim for specific angles and speeds that may result in desired outcomes.

5. How do collisions in pool differ from collisions in other cue sports?

Collisions in pool differ from other cue sports such as snooker or billiards in terms of the size and weight of the balls, the equipment used, and the rules of the game. Therefore, the dynamics and outcomes of collisions may vary between different cue sports.

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