Physics of Soccer :: physics sport sports soccer football

Physics of the Ball How and where you kick the thump is the most authorized aspect within the game of soccer. Lets advance you kick the ball perfectly giving it no rotation (or spin), this means that you have given the ball a velocity (v) and an initial angular belt along of zero. When the ball comes into contact with the ground it pull up stakes begin to spin because the ground is not attritionless. The soccer ball impart eventually begin to hair curler without slipping, which is when the balls substance of mass is equal to its angular speed. Now assume that you want to strike the ball so that it immediately begins to throw off without slipping. The diagram above shows us how we rear end accomplish this and the equaltion of s=R(theta) will give us the distance from the center of the ball that you need to kick. The answer to this line of work turns out to be s=0.4R, so you would strike the ball a little less than half of the radius above the center line. Fric tion is a huge factor when considering the game of soccer. When a soccer ball is moving along the field there is constantly a frictional force working(a) in the opposite direction of the balls movement. in that location is an equation that can be used to find the friction force working against the ball and it is f=mN. This is where f is the frictional force, m is the coefficient of friction, and N is the traffic pattern force pointing upward. The coefficient of friction is dependant upon the surface type and ball being used, it is not a constant. This tells us that the coefficient of friction will cause the ball to roll slower when it is large and not as slow when it is small. This also shows that the more friction there is between the ball and the field the slower the ball will roll.How physics students cheatWhen dealing with projectile motion physics students are normally allowed the assumption of two things1) The free-fall quickening g is constant over the clutch of mo tion and is unendingly directed downward.2) The effect of air metro is negligible, meaning there is no air resistance on the projectile.With these assumptions we find that the projectiles path is always a parabola.How this cheating pans outPhysics of Soccer physics sport sports soccer football Physics of the Ball How and where you kick the ball is the most important aspect within the game of soccer. Lets say you kick the ball perfectly giving it no rotation (or spin), this means that you have given the ball a velocity (v) and an initial angular speed of zero. When the ball comes into contact with the ground it will begin to spin because the ground is not frictionless. The soccer ball will eventually begin to roll without slipping, which is when the balls center of mass is equal to its angular speed. Now assume that you want to strike the ball so that it immediately begins to roll without slipping. The diagram above shows us how we can accomplish this and the equaltio n of s=R(theta) will give us the distance from the center of the ball that you need to kick. The answer to this problem turns out to be s=0.4R, so you would strike the ball a little less than half of the radius above the center line. Friction is a huge factor when considering the game of soccer. When a soccer ball is moving along the field there is constantly a frictional force working in the opposite direction of the balls movement. There is an equation that can be used to find the friction force working against the ball and it is f=mN. This is where f is the frictional force, m is the coefficient of friction, and N is the normal force pointing upward. The coefficient of friction is dependant upon the surface type and ball being used, it is not a constant. This tells us that the coefficient of friction will cause the ball to roll slower when it is large and not as slow when it is small. This also shows that the more friction there is between the ball and the field the slower the ball will roll.How physics students cheatWhen dealing with projectile motion physics students are normally allowed the assumption of two things1) The free-fall acceleration g is constant over the range of motion and is always directed downward.2) The effect of air resistance is negligible, meaning there is no air resistance on the projectile.With these assumptions we find that the projectiles path is always a parabola.How this cheating pans out

Porter Analysis of the Zara Fashion Chain Essay -- Business Analysis R

Porter Analysis of the Zara Fashion ChainThe Zara fashion chain, with 546 stores in 30 countries today ?from which 340 are outside Spain- and ?2914,3 millions of total sales in 2002, is doubtless the group?s locomotive (Inditex, 2003). In 2002 it represented 33% of the group?s total stores, accounted for 72% of the group?s total sales and contributed to the retentiveness?s total profits for ?540.4 millions (Inditex FY2002 Results Presentation, 2003). Moreover, Zara with 75-90 new stores within 2003 takes the lion?s share in group?s current year store openings (total openings for 2003 260-315). The heading of the Porter analysis is to analyse the competitiveness of the market.Threat of entryThreat of entry to the apparel industry is medium. Economies of scale play the tally role (as state in the case study), capital requirements for entry vary, distribution channels are available, threat of retaliation is medium and government legislations play only a moderate role. On the separ ate hand market experience and differentiation play the vital role.Threat of substitutesThreat of product-for-product substitution on this market is very high. It comes from other apparel retailers, designer clothes and tailor houses. Substitution by need is unlikely. Generic substitution can take place as well as ?doing without?.Power of buyersPower of buyers on the market is moderate because there are many small buyers, retailers differentiate and are of big size, alternative sou...

The Fool in William Shakespeares As You Like It Essay -- William Shak

The Fool in William Shakespeares As You Like ItThe waste angiotensin-converting enzymes time is one of the first character archetypes that either student of literature learns how to analyze. Despite his attendingly light or even pointless chatter, the fool usually manages to say some fairly important things. Upon advertise study, the student may perceive that it is because of his penchant for silliness that the fool is given leave to express even offensive truths about the other characters. What happens, though, when one fool encounters another? Fools are not used to being subject to one anothers wit this experience of being held up to a relegate of mirror is generally reserved for the characters who must undergo some change to further the plot. cadence and Jaques manage to break that rule, and merely by coexisting seem to compete. Both live up to some part of our expectation of the fool, but neither manages to fill the role entirely. Which one comes closer is a matter creditable of some debate. In her book The Fool His Social and Literary History, Enid Welsford devotes a chapter to The Court-Fool in Elizabethan Drama and briefly discusses As You Like It specifically. She at one point describes fools as being partly within and partly outside the action of the drama. (244). This idea is applicable to Touchstone and Jaques, but in a moderately different way than she intended it. She was describing characters placed by circumstance in that liminal state--characters with no desire to move to either side of their middle ground. Also, she describes the differences between Touchstone and Jaques, both in appearance and attitude. Most importantly, she mentions that Touchstone exposes affectation but he is capable ofcriticism, and his judgments are r... ... encroaching on his territory. Jaques is a sort-of fool in a sort-of court, but Touchstones presence brings in a glimmer of the rest of the worlda authentic fool from a real courtthat shat ters Jaques before he ever has a chance to throw a single stone at Touchstone. Jaques attempts to find a place for himself, then, scarce read as a strange, lost man making faces in a glass. There is no way that Jaques can surpass Touchstones inherent liminalitywhere Touchstone slips seamlessly from one world to the next, in and out of the action, Jaques just hops jerkily back and forth like someone walking on hot coals. He never lands in any one place long enough to really establish himself. It is for this reason that Touchstone fills every scene of the fools role more ably than Jaques, up until the bitter end when Jaques takes the traditional fools ending and stands alone.