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Conservation of energy essay
Physics behind pool
The Physics Of Billiards in simple words
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When most of us go out to play pool we do not realize how much physics effects our
game. If we took the time to understand at least the basic physics of pool it might be
amazing to what degree we could improve our skills. Most of us already know at least
somewhat the general idea of how to play pool well. Below I will give a
brief description of how physics plays a part in improving you game of pool. So read on
if you care to impress your fellow pool players!
-Basic Momentum & Kinetic Energy
For the purpose of billiards we will not go into great detail as to what momentum
is. Basically though it can be thought of using the following equation;
p = mv
where p = momentum
m = mass of object
v = velocity of object
Kinetic energy is energy associated with the motion of an object. For basic purposes
we can just look at the following equation which relates kinetic energy with mass
and velocity of an object.
K = ½mv2
where K = kinetic energy
When you strike another ball with the cue ball it is almost a perfect elastic collision.
An elastic collision is one in which total kinetic energy as well as total momentum
are conserved within the system. This can be shown by the two basic equations;
Conservation of Kinetic Energy: ½m1v1i2 + ½m2v2i2 = ½m1v1f2 + ½m2v2f2
Conservation of Momentum: m1v1i + m2v2i = m1v1f + m2v2f
where m = mass of object
v = velocity
Since the cue ball has virtually the same mass as the other balls and the velocity of
our second ball will always be zero, since we are striking a static ball with the cue
ball. In addition this is considered a two- dimensional collision. From this we know
that momentum is saved within the y component and within the x component.
Therefore in the case of pool we can rewrite these two equations as:
Conservation of Kinetic Energy: ½m1v1i2 = ½m1v1f2 + ½m2v2f2
Conservation of Momentum: m1v1i = m1v1f cosø+ m2v2f cosØ
0 = m1v1f sinø - m2v2f sinØ
In this last equation the minus sign comes from the fact after the collision ball two
has a y component of velocity in the downward direction from the x-axis. This can
be seen in the following diagram.
The above diagrams show the initial velocity (both x and y directions) of both balls
(Vxi &Vyi) as well as the final velocities (Vxf & Vyf). As we can see Vxi = Vxf (total
of red and blue balls) as well as Vyi = Vyf.
For years it was thought that the golf swing was a solid piece of movement without any differentiating variables. Vast expansion in technology over the last 20 years has produced more information on the biomechanics of the golf swing. “ Golf Biomechanics applies the principles and technique of golf mechanics to the structure and function of the golfer in an effort to improve the golf technique and performance” (Hume P., Keogh J., and Reid D. 2005) Biomechanics, “The scientific discipline that applies mechanical principles and to understanding movement.” (Hume P., Keogh J., and Reid D. 2005) allows scientists to observe a golfer’s swing to near milliseconds to the point of impact. This is much more precise to previous measurements used such as video recordings, outlines, etc. Understanding how the swing works by breaking down the movements within the swing through visual aids emphasize the opportunity for a better swing and in turn, better golf. Studies of biomechanics within the golf swing have shown the sequential separation from torso to pelvis, disproving the original theory of a solid swing with continuous motion known as the X-factor. Before understanding how the biomechanics of the golf swing works with the X-factor, the basics of the swing must be established.
Billiards, or more commonly referred to as pool has been played for many decades. In the late nineteenth century and early twentieth century it was played by those of upper class standing in their homes. Over the twentieth century pool shifted roles, becoming part of middle and lower class society. With the class change, pool also moved out of the home and into bars and halls. Pool has been forever transformed; today there are three main groups of pool players to be found in pool halls; professional players: blue collar players, and teenage players.
Understanding how physics is used in an every day pinball machine will help with the strategy of the game. Knowing how the tilt works and how much force to apply when shooting the ball can improve any ones’ game. Even in an environment without friction or gravity pinball can be played. Without physics the game would not exist. Nor would anything exist.
movement of the ball as it hits a hard surface. I will drop the ball 3
There are two types of table measurements players may use. The official rules state that the table must be eight feet long, at least two feet wide, and stand four feet tall. However, it is more commonly played on a ping pong table where the height reaches 30 inches (Organization). For the purposes of this project, I will be deriving my calculations using the dimensions of a ping pong table. The regulation ping pong ball consists of being 3-star, 40mm in diameter, and weighing 2.7 grams.
Aside from being one of the most accessible (and best!) sports out there, many aspects of bowling can be expressed with physics. Achieving maximum power, throwing a hook ball, and getting good pin action can all be broken down into physics issues and represented with equations. I will cover four aspects of bowling that can be explained with physics terms and show you how to use this knowledge to optimize your game.
= linear velocity of the ball before impact (will be negative according to our convention that away from the player is positive)
Method: If momentum is conserved in a closed system, the total momentum of the system before collision should equal the total momentum of the system after the collision. Strobe photos will be used in the calculations that will prove that momentum is conserved.
Many people would argue that the ball is the single most important part of the game of golf. It's design and make-up determine its behavior in all phases of the game. The golf ball has evolved much over the years. Physics is largely responsible for this evolution, and the very existence of the golf ball as we know it today.
Different collisions took place throughout the process of the Rube Goldberg Machine. This included Elastic and Inelastic collisions. An example of an Elastic Collision in our Rube Goldberg Machine is when the car went down the track and collided with another car. Elastic collisions are defined as collisions with conservation or no loss of momentum. This is proven by the first car which transferred its momentum to the second car thus momentum was perfectly conserved. An Inelastic Collision is seen in our project ...
...tle thought and wonder why the ball is not going where they think they aimed. The proper way to align yourself is to step 10 to 15 teen feet behind the ball and view your target. Pick a spot 1 to 2 feet in front of the golf ball that is in line with the target and the golf ball. Once you have this point in front of the ball, draw an imaginary line from it trough the golf ball, when taking your stance; line everything up parallel to the imaginary line, feet, knees, hips and shoulders. Please remember that the golf stance is parallel left of target for the right-handed golfer. If you line yourself up with everything at the target, you will hit the ball to the right of the target. If you speak with any pro golfer and ask him how he fixed a particular problem that was affecting his swing, he would tell he went back to the fundamentals, proper grip, stance and alignment.
By the reason of the balls specific well-produced design the ball is able to perform certain acts. The ball being perfectly round was/is able to create as expected an exact, stable flight through air in any condition. This is caused because all sides are even, and when the ball pressures through the air the air reacts with the same force allowing the ball to go forward exactly as hit. However if there would be a curve or uneven part on one side then the ball could have gone not at a precise angle hit and on one side of the ball because there would be more air’s force pressuring the ball resulting in it going in a imprecise direction. The dimples effect the coefficient of friction of how will the ball travel of the air however if there are more dimple on one side it may cause a difference in which direction the ball will go just like with a curve on a ball. Verifying that for now on, the technology of the Jabulani ball is the most advanced in the ball department.
In all games, rubbing speaks to a braking power that should be conquered; the more you can defeat this power, the better your odds of progress. Swimmers endure the gravity and the power of water in swimming. Accomplish proficient development through such thick as water condition is one of the greatest difficulties they have in like manner mentors and swimmers. The individuals who can travel through the water while limiting the impacts of physical powers on their bodies are ensured to get fantastic outcomes. Swimmers must discover methods for how to enhance their position or bolt streamline and at the same time diminish the region possessed by their body as it travels through the water. By diminishing the region, they lessen protection, which goes about as move their arms, and place the fingers in their grasp. Streamlined features is a term of material science that depicts the capacity of a protest defeat air protection. Therefore, it can be connected to cycling, the bike organization and outline, the attire worn by the cyclist, and even the situating of the rider on the bicycle.The most current
Here, we can use the vectors to use the Pythagorean Theorem, a2 + b2 = c2, to find the speed and angle of the object, which was used in previous equations.