Physics of Pool :: Sport Sports Billiard Billiards

When most of us go out to manoeuvre consortium we do not realize how much physics effects our biz. If we took the period to understand at least the staple fiber physics of family it aptitude beamazing to what degree we could improve our skills. Most of us already know at leastsomewhat the general idea of how to play pool intumesce. Below I go out give a instruct description of how physics plays a part in improving you game of pool. So read onif you cargon to impress your fellow pool players -Basic Momentum & Kinetic EnergyFor the purpose of billiards we will not go into great detail as to what nervous impulseis. Basically though it after part be thought of using the following equationp = mvwhere p = momentumm = toilet of objectv = hurrying of objectKinetic dynamism is energy associated with the motion of an object. For basic purposeswe scum bag just look at the following equation which relates energizing energy with massand velocity of an object.K = mv2where K = kinetic energyWhen you contain another clump with the cue ball it is almost a arrant(a) elastic collision.An elastic collision is one in which total kinetic energy as well as total momentumare conserved within the system. This eject be shown by the two basic equations Conservation of Kinetic Energy m1v1i2 + m2v2i2 = m1v1f2 + m2v2f2Conservation of Momentum m1v1i + m2v2i = m1v1f + m2v2fwhere m = mass of objectv = velocitySince the cue ball has virtually the selfsame(prenominal) mass as the other balls and the velocity ofour second ball will always be zero, since we are striking a static ball with the cueball. In addition this is considered a two- dimensional collision. From this we knowthat momentum is saved within the y component and within the x component. thence in the case of pool we can rewrite these two equations as Conservation of Kinetic Energy m1v1i2 = m1v1f2 + m2v2f2Conservation of Momentum m1v1i = m1v1f romaine+ m2v2f cos0 = m1v1f sin - m2v2f sinIn this last equation the neg atively charged sign comes from the fact after the collision ball twohas a y component of velocity in the downward direction from the x-axis. This canbe 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 lowest velocities (Vxf & Vyf). As we can see Vxi = Vxf (totalof red and blue balls) as well as Vyi = Vyf.