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Law of conservation of momentum investigation
Law of conservation of momentum investigation
The Physics Of Billiards in simple words
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The Physics of Billiards
Newton's Laws
First Law: An object at rest stays at rest. If it is moving, the object will continue to move with the same velocity.
Second Law: The net force on an object is equal to the product of the objects mass and its acceleration.
(F = ma)
Once the cue ball begins to roll there are no net external forces acting in the two-ball system; therefore the a must be = 0. Acceleration is the rate of change of velocity. If acceleration is 0 there is no change in velocity. When the two balls collide the only forces acting are internal and they do not affect the net force. This means that the center of mass of the system continues to move forward with the same velocity and direction after the collision.
Third Law: When two objects interact, the forces acting on them from each other are always equal in magnitude and opposite in direction.
Collisions
Elastic: The Kinetic Energy of the system is conserved after the collision.
Ex. The collision of a cue ball with an object ball.
Head on: The Kinetic energy of the cue ball is transferred almost entirely to the object ball with a small amount of energy lost in sound.
The two object system is closed and isolated so linear momentum is conserved and the collision is elastic so the kinetic energy is conserved. The balls are equal in mass so:
m1v1i = m1v1f + m2v2f (linear momentum)
½ m1v1i2 = ½ m1v1f2 + ½ m2v2f2 (kinetic energy)
v1f = [(m1 - m2)/(m1 + m2)] v1i
v2f = [2m1/(m1 + m2)] v1i
If m1 = m2, the above equations reduce to v1f = 0 and v2f = v1i
Basically the cue ball is initially moving, stops suddenly when it hits the object ball at initially at rest which after the collision takes off with the initial speed of the cue ball.
After Collision
Rolling
A rolling object has two types of kinetic energy.
Rotational Energy: ½ Icomw2
We ran into Newtons First Law, which claims that an object resists change in motion, as the marble rolled down the floor it didn’t stop until it was acted against by friction. As we moved on, Newtons Second Law came into play when we were creating our lever as we need a ball that would roll down with enough acceleration that it could knock down the objects. Newton’s second law claims, that F=MA. So, we choose a golf ball since it would have more mass than a rubber ball, but it would have less acceleration when the lever was started. This way, it would knock the upcoming objects. Newtons Third Law claims that every action yields an equal and opposite reaction. This is proven in our Rube Goldberg Machine when the small car was rolling down the tracks as the wheels pushes against the track making the track move backwards. The track provides an equal and opposite direction by pushing the wheels forward.
from both sides, leaving us with ½ V2 = GH. When the above equation is
An elastic collision between two objects is one in which total kinetic energy (as well as total momentum) is the same before and after the collision.
Baseball is a fascinating sport that is exceptionally fun to play. This assignment is all about understanding the physics of a few key aspects of this sport. One might ask what physics could have to do with baseball? Like most sports baseball involves physical motion. Baseball encompasses all three planes of motion through throwing, hitting, and fielding. All of the classical laws of mechanics can be applied to understand the physics of this game.
In 1687, Newton published Philosophiae Naturalis Principia Mathematica (also known as Principia). The Principia was the “climax of Newton's professional life” (“Sir Isaac Newton”, 370). This book contains not only information on gravity, but Newton’s Three Laws of Motion. The First Law states that an object in constant motion will remain in motion unless an outside force is applied. The Second Law states that an object accelerates when a force is applied to a mass and greater force is needed to accelerate an object with a larger mass. The Third Law states that for every action there is an opposite and equal reaction. These laws were fundamental in explaining the elliptical orbits of planets, moons, and comets. They were also used to calculate
Kinematics unlike Newton’s three laws is the study of the motion of objects. The “Kinematic Equations” all have four variables.These equations can help us understand and predict an object’s motion. The four equations use the following variables; displacement of the object, the time the object was moving, the acceleration of the object, the initial velocity of the object and the final velocity of the object. While Newton’s three laws have co-operated to help create and improve the study of
movement of the ball as it hits a hard surface. I will drop the ball 3
Isaac Newton discovered gravity when an apple had fallen on his head. He then began to think about how the apple had fallen onto his head and thus Newton’s three laws of motion were created. Newton’s first law of motion is an object in motion tends to stay in motion; an object at rest tends to stay at rest, unless another force is acted upon it. Newton’s second law of motion is about the formula for force, which is force= mass*acceleration. Newton’s third law of motion is for every action there is an equal and opposite reaction. Furthermore, Isaac Newton created the three laws of motion.
This law is also often called “Inertia”. Inis the tendency for an object to resist the change in motion. Like, if you are moving and nothing happens to you, then you will keep moving. Forever. If nothing is happening to, and nothing is trying to put any type of force on you then nothing will happen .Forever. (Newton’s Three) There is a limit that must be met in order for the first law to be suitable to any given motion. The limit is represented by the phrase "... unless acted upon by an unbalanced force." As the long as the forces are balanced - the first law of motion
...ys that for every action there is an equal and opposite reaction, and this is also displayed when a bat hits a ball. The bat exerts force on the ball, just as the ball exerts force on the bat. This force can sometimes even be enough to break the bat, like in the illustration below.
is the reason that the ball does not rebound off the block at the same
In this inquiry the relationship between force and mass was studied. This inquiry presents a question: when mass is increased is the force required to move it at a constant velocity increased, and how large will the increase be? It is obvious that more massive objects takes more force to move but the increase will be either linear or exponential. To hypothesize this point drawing from empirical data is necessary. When pulling an object on the ground it is discovered that to drag a four-kilogram object is not four times harder than dragging a two-kilogram object. I hypothesize that increasing the mass will increase the force needed to move the mass at a constant rate, these increases will have a liner relationship.
If the material of the ball is changed, then the ball with the most elasticity in its material, which is the basketball, will produce the greatest bounce height. This is because balls with greater elasticity in their material will lose less energy to heat and sound since it has the ability to decelerate slower due to its flexible material and thus, will transfer more kinetic energy to elastic potential energy more efficiently causing the ball to bounce
What is there to know about the three laws of motion? The three laws of motion are only one of the countless things formulated or developed by the astounding seventeenth century physicist and mathematician, Sir Isaac Newton. Sir Isaac Newton is considered one of the pioneers for the ever growing world of physics. Newton was the metaphorical outline for numerous brilliant physicists such as Albert Einstein, Niels Bohr, Richard Feynman, and Erwin Schrödinger. Many of those names may be much more familiar than that of Isaac Newton, but in the science world, Newton is a beloved figure since a vast number of rules and theories were derived from him. Newton’s rules and theories still hold true today, just like with his three laws of motion. One of Newtons many clever quotes or sayings is, “Tact is the art of making a point without making an enemy.” Because Newton lived by this saying his entire life, he was a successful physicist who is still important in todays world. Even though Newton was a powerful mind in the science world, he was also an astute mathematician, making breakthroughs in the mathematical world as well.
The second law is, “the relationship between an objects mass (m), its acceleration (a), and the applied force (f) is F= ma.” The heavier object requires more force to move an object, the same distance as light object. The equation gives us an exact relationship between Force, mass, and acceleration.