Physics of Billiards :: physics pool billiards

The physical science of BilliardsNewtons rightfulnesssFirst Law An target area at rest stays at rest. If it is moving, the object will continue to move with the equivalent velocity.Second Law The crystalize force on an object is equal to the product of the objects corporation and its acceleration. (F = ma)Once the inform ball begins to roll there are no net external forces playacting in the dickens-ball dust 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 just 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.CollisionsElastic The Kinetic Energy of the system is conserved after t he collision.Ex. The collision of a cue ball with an object ball.Head on The Kinetic aptitude of the cue ball is transferred more or less entirely to the object ball with a small amount of energy lost in sound.The two object system is closed and set-apart so linear momentum is conserved and the collision is elastic so the kinetic energy is conserved. The balls are equal in mass som1v1i = m1v1f + m2v2f (linear momentum) m1v1i2 = m1v1f2 + m2v2f2 (kinetic energy)v1f = (m1 - m2)/(m1 + m2) v1iv2f = 2m1/(m1 + m2) v1iIf m1 = m2, the above equations reduce to v1f = 0 and v2f = v1iBasically 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 CollisionRollingA rolling object has two types of kinetic energy.Rotational Energy Icomw2