Newton’s Third Law: for every action there is an equal, and opposite, reaction. This law presides over the billiards table just as it does over the rest of the physical world.
The physics of billiards predicts a point on a ball which, when hit, does not develop any frictional force between the ball and the billiard table (see figure 6). Knowing this allows performing interesting shots.
Is billiard elastic or inelastic collision?
Collision between two billiard’s ball are inelastic.
What happens when two billiard balls the same mass collide?
It will have transferred all of its kinetic energy to the other ball, which will move forward with the same velocity that the cue ball had before the collision. Collisions can only be elastic if the masses are equal. The masses of billiard balls are the same, which can make some collisions close to elastic.
Is billiards geometry or physics?
Pool, or pocket billiards, is a game of mathematics and physics. The basic goal of play is to deposit balls into the pockets by hitting them with the cue ball. How the player strikes the cue ball (how hard, where, and in which direction) determines how the cue ball will interact with the other balls.
How do you play pool physics?
What are the forces acting on the billiard ball?
The force acting on the ball has two components. One is the normal reaction force, N, acting in a direction perpendicular the surface. The other is the friction force, F, acting parallel to the surface. The two forces together have a resultant or total value T which acts in the squirt direction – or vice versa.
What type of collision is billiard balls?
Physics Of Billiards – Ball Collision An elastic collision is one in which the kinetic energy of the system is conserved before and after impact. Therefore, for simplicity one can assume that for collisions involving billiard balls, the collision is perfectly elastic.
Which forces stops the cue ball moving?
The force between the pool stick and the cue ball is a contact force because the cue ball must touch the ball to push it forward. Friction is also a contact force that resists the motion of an object. Friction is a result of the fact that surfaces are not perfectly smooth, even if it appears that they are.
What type of collision is two billiards collide and then separate?
Elastic collisions involve objects which separate after they collide, and which are not changed at all by the interaction. Billiard balls, ping-pong balls, and other hard objects may collide elastically. Kinetic energy is conserved in elastic collisions.
Why is pool an elastic collision?
An elastic collision is when the kinetic energy from the system is conserved before and after the impact, and an inelastic collision is when kinetic energy is list. Pool balls hitting each other are considered elastic collision because of the conservation of kinetic energy and momentum.
When two balls collide what happens to the momentum of each?
In most collisions between two objects, one object slows down and loses momentum while the other object speeds up and gains momentum.
How do you calculate ball collisions?
Since the large ball falls a distance h to the floor, its kinetic energy is (1/2)MVi2 = Mgh, so its speed is Vi = Sqrt2gh. Since it bounces elastically from the floor, this will be its upward speed. The small ball also falls a distance h, so its speed just before the collision is also vi = Sqrt2gh.
Why does the cue ball slow down after it hits another ball?
A cue ball hits another billiard ball and slows down. Why does the speed of the cue ball decrease? Because the momentum has been transferred.
Why does a ball stop when it hits another ball?
Friction – as the ball rolls, the ball loses its energy to heat and sound. As the energy is lost, the ball slows down and eventually stops. Answer 6: Friction – the force that is preventing the ball from moving on and on and on.
What kind of math is billiards?
Real billiards can involve spinning the ball so that it does not travel in a straight line, but the mathematical study of billiards generally consists of reflections in which the reflection and incidence angles are the same. However, strange table shapes such as circles and ellipses are often considered.
What type of math is used in pool?
The most popular game on the pool table is “8 ball” but there are other games, too. No matter which game you play, understanding the underlying rules of geometry, trigonometry, and physics, will help you sink a ball into a pocket.
Is pool A physics?
Pool is a great example of physics in action. After every collision, the momentum of all the balls—the product of their mass and velocity—has to be conserved. That is, the total momentum before the collision has to be the same as the total momentum after the collision.
Are physicists good at pool?
A knowledge of physics can help you determine the location of this sweet spot, enabling you to hit the cue ball deliberately hit off-centre — this is called shooting with ‘English’ — so that it develops backspin or forward spin. Knowledge of physics can also help a player learn faster and feel more confident.
How do you calculate an angle in billiards?
Estimate the distance (in inches) from the tape mark on the cue to the CB-OB line (i.e. drop a perpendicular to the CB-OB line from the mark on the cue. Multiply this distance by 4. That is your cut angle, in °.
How do pool players use physics to their advantage?
Using Physics During a Pool Game Understanding collision, momentum, and sliding versus rolling friction can help you to determine the best way to shoot the ball to go in a forward or a backward spin. Applying physics principles during a game will help you understand what is going on and also play better.
Which forces make the ball begin moving?
The forces are the weight, drag, and lift. Lift and drag are actually two components of a single aerodynamic force acting on the ball. Drag acts in a direction opposite to the motion, and lift acts perpendicular to the motion.
What is the concept of billiards?
: any of several games played on an oblong table by driving small balls against one another or into pockets with a cue. specifically : a game in which one scores by causing a cue ball to hit in succession two object balls compare pool entry 3.
What is the friction of a pool table?
The coefficient of sliding friction between the billiard balls is very small, typically about 0.06, so the initially stationary ball moves in a direction almost parallel to the line joining the ball centers, corresponding to the direction of the normal reaction force.
At what height should a billiard ball be struck with a force parallel to the table such that it rotates without slipping?
To get a billiard ball to roll without sliding from the start, the cue must hit the ball not at the center (that is, a height above the table equal to the ball’s radius R) but exactly at a height 2R/5 above the center.