Rolling A Ball Down An Inclined Plane - 2222 Words

Rolling a Ball Down an Inclined Plane Year 12 Physics Ben Mitchell 4/25/2016 Table of Contents Introduction 3 Results 6 Discussion 8 Conclusion 11 Appendix 12 Bibliography 15* Introduction Suppose a ball is released from a distance and rolls down an inclined plane, as shown in figure 1. At the bottom of the inclined plane, the ball strikes a level tabletop and bounces away. The inclined plane may be rotated to give a steeper angle, which will affect the time of travel across the tabletop. The ball’s horizontal component of velocity is (Walding, Rapkins and Rossiter, 2004, pg. 62): v_x = v cos ÃŽ ¸ Figure 1: Experiment set up. Red indicates acting forces, green indicates velocity. As the ball bounces across the tabletop, the horizontal component of velocity (vx) will remain unchanged, assuming no kinetic energy is lost. The vertical component of the velocity (vy), force normal of the tabletop and the force of gravity will not affect the horizontal motion of the ball. Therefore, the value of vx at the bottom of the inclined plane determines the time of travel across the table, and the maximum value of vx gives the minimum time of travel. The relationship between the velocity and ÃŽ ¸ can be determined through the conservation of energy, assuming all potential energy it transferred into kinetic energy. GPE=KE (Walding, Rapkins and Rossiter, 2004, pg.226; http://www.phys.ufl.edu, 2016) mgh=1/2 mv^2 This simplifies to v= √2gh The height can be foundShow MoreRelatedPhysics Principles Of Dynamics And Rotational Kinematics882 Words   |  4 Pagesequal amounts of time, however, he was unable to test this theory, as he could not accurately measure an object free-falling through space. In order to rectify this, he attempted to slow down the objects motion by using a ball rolling down an inclined plane.1 By using a water clock, and measuring the distance the ball had travelled, Galileo was able to determine that the â€Å"spaces traversed were to each other as the squares of the times.†2 From this, he was able to calculate the acceleration due to gravityRead MoreDetermining G on an Incline Essay982 Words   |  4 Pagesfreely falling objects. Unfortunately, his timing devices were not precise enough to measure the free fall time directly. He decided to â€Å"dilute† gravity by using fluids, inclined planes, and pendulums. Galileo’s idea of diluting gravity using inclined planes worked like this: the acceleration of a rolling cart on an inclined plane is small, therefore is easy to measure; when the angle of the incline gets bigger, the acceleration will get bigger; by measuring the dependence of the acceleration on theRead MoreAncient Egyptian Pyramids Architecture1566 Words   |  7 Pages one can conclude that the Ancient Egyptians most likely utilized a combination of sledges and simple machines to create the Great Pyramids. Sledges that carried the blocks of the pyramids would be used to transport material while levers and inclined planes were used to place the blocks in such a precise manner. Construction of the different pyramids was seen under several different pharaohs, as they were built as tombs (History Channel HD 2015), by a collective Ancient Egyptian group. For exampleRead MoreIssacs Newton Laws Of Motion2123 Words   |  9 Pagesphilosophers. A ball on the ground, when given a small hit, does not move forever. Such observations suggest that rest is the â€Å"natural state† of an object. This remained the belief until Galileo Galilei and Isaac Newton developed an entirely different approach to understand motion. FIRST LAW OF MOTION By observing the motion of objects on an inclined plane Galileo deduced that objects move with a constant speed when no force acts on them. He observed that when a marble rolls down an inclined plane, its velocityRead MoreHorinzontal1829 Words   |  8 Pageswe need to slow down the action. Galileo was the first to accurately measure this acceleration due to gravity. By rolling objects down an inclined plane, he slowed the motion enough to establish that the gravitational acceleration is uniform, or constant with time. Inclined Plane Experiment !Does the marble pick up speed as it rolls? !Is it moving faster at the bottom of the incline than it was halfway down?  Flashes of a stroboscope illuminate a falling ball at equal time intervalsRead More The Scientific Method Essay1173 Words   |  5 Pagessame amount of time, as his hypothesis led to. Since his hypothesis failed, he made a new one, which proposed that the rate at which an object falls is directly proportional to the time the object has spent falling. This was tested by rolling balls down an inclined plane and calculating the speed and time values from those observations. Later, these experiments led to the discovery of the gravitational constant g, and a better understanding of the Scientific Method. The Method has been used manyRead MoreSir Isaac Newton: Standing on the Shoulders of Galileo and Aristotle1454 Words   |  6 Pages and his insightful works eventually became well known and followed. Aristotelianism dominated over the European mind since his time all the way up the Middle Ages (Lizhi, F., Youquan, C., 1987). Aristotle believed that the earth looked like a ball in the center of the universe and divided the space of the universe into two parts, using the moon as the dividing line. The sun, stars, planets, and anything ‘above the moon’ were in succession around the earth, all on different layers of the ‘celestialRead More Galileo: The Father of Science Essay examples1798 Words   |  8 PagesGalileo is that he dropped balls from the Leaning Tower of Pisa. The balls were of different masses to demonstrate that their velocity of descent was independent of their mass excluding the limited effect of air resistance. This was different than what Aris totle taught: that heavy objects fall faster than lighter ones, in direct proportion to weight. Galileo did however perform experiments involving rolling balls down inclined planes, which proved the same thing: falling or rolling objects are acceleratedRead MoreEssay on Homework #3 Solutions2624 Words   |  11 Pages2012 HOMEWORK #3 Due Monday July 2, 2012 1 James Bond (90 kg), outï ¬ tted with perfectly matching skis and skiware, is at the top of a steep slope that a secret spy like him can easily handle. He lets himself go from rest and smoothly slides down the h = 15 m high hill. A big parking lot lies at the bottom of the hill. Since the parking area has been cleared of snow, the friction between the ground and the skis brings our hero to a halt at point D, located at a distance d = 12 m from pointRead MoreGalileo Galilei, Astronomer/Mathematician5105 Words   |  21 Pagestechnology of the 1600s. According to Koyrà ©, the law was arrived at deductively, and the experiments were merely illustrative thought experiments. Later research, however, has validated the experiments. The experiments on falling bodies (actually rolling balls) were replicated using the methods described by Galileo (Settle, 1961), and the precision of the results was consistent with Galileos report. Later research into Galileos unpublished working papers from as early as 1604 clearly showed the reality

Sustainability Change The Landscape Of The Competitive...

Sustainability is generating higher attention and growth in public awareness with each passing day. Sustainability issues are increasing concern to all living beings, as it is a growing agenda for the government legislatives. The media does not lose a chance to cover any aspect of the topic and thus we know that sustainability and business are now one of the hottest topics of the time. The questions that we face now are, will sustainability change the landscape of the competitive market world? If so, how? How worried are the associates of business like stakeholders and the executives about the sustainability and its opportunities and threats that it poses to the business environment? What are that government trying to do solve the issue, will they hamper the market in any way? And, what kind of strategies are they using to place themselves (government and businesses) in the competitive positions for future? (Berns et al., 2009) Sustainability may have actions related to social (equal opportunities), environmental (quality of the eco-system), and economic (relating to stable and healthy living conditions) implications. These implications are also called ‘triple-bottom-line’ concept (Jeurissen, 2000). Sustainability can be related to business as and when they address issues of what is produced, how it is produced, by whom it is produced, and its implications on the stakeholders (Seow et al., 2006). And thus I feel that business as well as the government need to pay loads ofShow MoreRelatedUnderstanding Emerging Markets989 Words   |  4 PagesUnderstanding Emerging Markets Research Paper Articles Selected 1. Finding Your Strategy in the New Landscape Atsmon, Y., Kertesz, A., amp; Vittal, I. (2011). Is your emerging-market strategy local enough?. Mckinsey Quarterly, (2), 50-61. 2. Let Emerging Customers Be Your Teachers D Andrea, G., Marcotte, D., amp; Morrison, G. (2010). Let Emerging Market Customers Be Your Teachers. Harvard Business Review, 88(12), 115-120. 3. Have You Restructured for Global Business? AtsmonRead MoreCorporate Sustainability, Innovation And Sustainability1645 Words   |  7 PagesIn today’s business landscape companies are measured on the corporate sustainability, innovation and also the ethical responsibility. Companies are being challenged to become agile and resilient in the ever changing market. Over the past ten years, many large corporate companies have expanded their markets and driven out many of the small business players. Companies that are looking to make it in this ever expanding competitive market will need to evaluate at their current business strategies andRead MoreMarketing Analysis : Nike s Strategy1540 Words   |  7 Pages(Sender, June 2015) Nike, as a company, fit into this market as the leader in sports fashion as they rank #1 in most valuable sports fashion and #18 overall on most valuable brands. (The world’s most valuable brands, 2015). The objective of this assignment is to critically evaluate Nike’s strategy. This wi ll be done by analysing their environment, their Industry and their competitive and finally their competitive landscape. Long term goals Sustainability- to achieve this through the use of: Unleash Innovation:Read MoreNike World Cup Harvard Business Review Questions Essay1545 Words   |  7 PagesMekyas Moges 11/18/2013 Sports Marketing Professor Master. Nike World Cup 1. Discuss the factors that have resulted in Nike Football becoming over a $1 Billion division and a major force in the football market. The Nike football brand believed that the only way to seize any kind of opportunity for growth is to first have a product that speaks for itself. Therefore, Nike believed that footwear product innovation should have the most focus. Nike had four steps to product innovation, developmentRead MoreA Global Supply Chain Manager1036 Words   |  5 PagesThe work of a global supply chain manager is ever changing. These global supply chains must be fluid and responsive to keep with the changing landscape that is global business. Risk factors, consumer expectations, political change, and environmental concerns are many of the things that they must overcome. Planning, communication, and strong relationships can aid these managers in doing what the need to stay on top of all these challenges. The main goal of the supply chain is to provide the customersRead MoreThe Future Starts Today, and Not Tomorrow by John F. Kennedy653 Words   |  3 Pagesdawn of time, as human beings seek liberality an d progress by nature and change is key success factor for both desires. And success was always destined for those who could forecast the future and adapt to the wind of changes. 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RES have the clear dimension of company future direction, they persist long term (5-10 years) benefits to the environment by minimising theRead MorePanera Bread1462 Words   |  6 Pagesgrowth strategy focused on growing store profit, increasing transaction and gross profit per transaction, using its capital smartly, and putting in place drivers for concept differentiation and competitive advantage. Panera has always kept an eye on the market, the new markets as well as existing markets. In 2009 Panera had a strategy that was different than others. This is the time when the economy took a turn for the worst. Some restaurants lowered their prices to get customers, while Panera keptRead MoreThe Adoption Of Islamic Business Practices1286 Words   |  6 PagesOrganizations in most industries face increased competitive pressures from other organizations that aim to satisfy customer demands. 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Relationship Between Polonius And Ophelia - 1299 Words

Generally, when a story, whether it be a book or movie, is titled with a character’s name, the story itself revolves around that specific character. Thus, most readers would be able to guess that the play Hamlet, written by William Shakespeare, is indeed about Hamlet, the prince of Denmark. What they do not expect, however, is to encounter a subplot that is so involved that the removal of it would cause the storyline to change drastically. The relationships between Polonius and his children, Laertes and Ophelia, serve as an essential subplot in Hamlet as they add complex literary elements that advance the play forward and reveal key attributes about Hamlet. The advice that Polonius and his children share amongst each other reveal the†¦show more content†¦iii. 129-130). He is telling her to spend less time with Hamlet because he feels that his vows of love are not as true as Hamlet makes them seems to be. Just like Laertes, this advice suggests that Polonius does not t hink highly of Hamlet and also thinks he is childish and doesn t actually love Ophelia. Their advice sets up their suspicions about Hamlet which leads Polonius to set up situations that will reveal Hamlet’s true feelings and show them he is not in fact mad because of Ophelia. The advice also causes Ophelia to distance herself from Hamlet, which raises some red flags in Hamlet’s mind and causes him to think that her family has something to do with it. Laertes tried to stay out of Ophelia s love life for the most part, but Polonius had no problem inserting himself into his daughter’s life. Polonius uses Ophelia as a pawn and manipulates her to get information from Hamlet. When Polonius sees that Hamlet has gone mad, he thinks it is the result of Ophelia’s lack of affection. Claudius says â€Å"We have closely sent for Hamlet hither, / That he as ‘twere by accident, may here / Affront Ophelia†(III. i. 32-34). He then says that Polonius and him are going to listen to the conversation. Polonius is hoping that Hamlet shows signs that his madness is due to Ophelia and being lovesick. Polonius is manipulating Ophelia to do whatever he wants. He doesn t seem to care what she wants. He just wants to be happy. First he tells her toShow MoreRelatedAnalysis Of Shakespeare s Hamlet 1060 Words   |  5 PagesEnglish Literature 7 December 2014 Relationships in Hamlet â€Å"True love is an act of the will-a conscious decision to do what is best for the other person instead of ourselves.† The quote by Billy Graham relates to the tragic play, Hamlet, by stating how true love is and should be rather than love being thought out to be doing what is best for yourself. One family in the story involves Hamlet, Gertrude, King Hamlet, and Claudius and the other family includes Ophelia, Polonius, and Laertes. Hamlet’s familyRead More Hamlet - Ophelias Identity Essay1320 Words   |  6 PagesHamlets antics that characters such as Ophelia remain relatively unexamined. Ophelia is a key figure in the play, and to understand her reactions to the patriarchal society in which she lives through her relationships with the men in her life adds more depth to the play. Ophelias character is revealed through her relationships with her father, Polonius, her brother, Laertes, and her lover, Hamlet, and their characters in turn are revealed through their rel ationships to her. The first opportunityRead MoreAnalysis of Ophelias Character in Shakespeares Hamlet Essay1159 Words   |  5 PagesEnglish play Hamlet, Shakespeare incorporates deep analytical thought in his writing by the use of character, symbolism, and motifs. Specifically, readers can find these characteristics through analytical reading of the character Ophelia. While initially reading the story, Ophelia represents a character that is typical of the women in the 1600s, one who is too submissive and directed by the people around her. First impressions of Ophelias character seem much too simplistic- one that is emotionally governedRead MoreThe Powerlessness Of Women In Shakespeares Hamlet1473 Words   |  6 Pagestwo women characters in the play. In Hamlet, the roles of Gertrude and Ophelia are very important in that they are the only two female characters in the play. Gertrude, the Queen of Denmark and mother of Hamlet, and Ophelia, the lover of Hamlet, are characterized as controlled and lost in their lives because they are being used by the men throughout the play. Fundamentally, Shakespeare illustrates the nature of Gertrude and Ophelia as powerless victims by the women being subjects of men, by the womenRead MoreFather-Child Relationships in Hamlet and Fences1223 Words   |  5 PagesFather-Child Relationships in Hamlet and Fences In both William Shakespeares Hamlet and August Wilsons Fences, the emphasis placed on parent-child relationship is vital, as family plays an important role in developing a characters values as well as his or her upbringing does. While Ophelia, Laertes, and Hamlet show loyalty to their fathers unconditionally, Cory, even though looks up Troy as a figure, eventually exhibits disrespect to him. The relationship that Ophelia shares with her fatherRead MoreHamlet, By William Shakespeare844 Words   |  4 PagesIn the play Hamlet, there are a few main characters that have a huge impact on the overall theme of Hamlet. In this case, Polonius and Laertes are the two that will be focused on. Polonius is the chief councilor for King Hamlet. He has a son named Laertes and a daughter named Ophelia. He is extremely egotistic and he always goes off on a tangent. Laertes and Ophelia have naturally learned to tune him out when he rambles. Laertes is a college student in Paris, France. He came home because of KingRead MoreHamlet- William Shakespeare1252 Words   |  5 Pagesdeliver a message to stop all war between both countries. Then, Laertes is given a blessing to leave to France. Hamlet is unhappy about the purpose of the ceremony; it is focus in the wedding not about the death of his father. Horatio and Marcellus greet Hamlet and tell him about the ghost. Hamlet asks the men to ta ke him to the site of the appearance of the ghost. While in the home of Polonius, his children Laertes and Ophelia speak about Ophelia’s relationship with Hamlet. Laertes advises her toRead MoreAnalysis Of Shakespeare s Hamlet 1650 Words   |  7 Pagesaccidentally kills polonius. In this one instance, Hamlet does not want to kill Claudius because he is praying and thus overthinks it and believes Claudius may go to heaven if he dies while doing a good deed, he wants to catch Claudius committing a sin and kill him then so he is assured Claudius will go to hell. In the other instance, Hamlet believes that Claudius is in the room with him and his mother and stabs him without thinking about it, only for it to end up being Polonius, who, although isRead MoreOphelias Road to Madness1119 Words   |  5 Pagesis rendered through examination of her relationships with her father Polonius, her brother, Laertes, and her lover Hamlet. I. Polonius is self seeking and callous. A. Polonius uses her to further his own agenda. B. Ophelia obediently and dutifully refuses Hamlet at her father’s request. II. Laertes overshadows Ophelia’s hope. A. Laertes brotherly advice is demanding. B. Ophelia loses her friend and confidant in her brother’s absence. III. 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Grand Isle vs the Awakening free essay sample

The Awakening, is considered one of the first texts addressing the concerns of the feminist movement. The story revolves around a small group of friends from  New Orleans  who vacation together on Grand Isle each summer, the main character being Edna Pontellier. On the other hand, there’s a film entitled  Grand Isle, which is a direct translation of Chopins novel. Both  The Awakening  and  Grand Isle  make use of setting, symbols, and characters to reveal the ultimate theme of the work: that nobody is free from society. Grand Isle  is a very complete adaptation of  The Awakening and with only a couple minor details altered, the film takes Chopins novel and completely translates it into a different medium, often quoting the novel exactly in character dialogue. Disregarding its origins and influences, as a work of art on its own,  Grand Isle  is well filmed with an enjoyable cast and portrays its main themes completely. We will write a custom essay sample on Grand Isle vs the Awakening or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page The novel and the film heavily rely on setting, both to stage the events of the story and as a method of symbolism. The setting of the novel is historically accurate. Many families living in New Orleans and similar cities would retreat to small coastal islands for the summer to escape the heat of the city. On a higher level, the two main elements of the setting, the city and the island, or civilization and the wilderness, serve as symbols. The city, or civilization, symbolizes oppression by societal demands, while the island, or wilderness, symbolizes freedom from societys watch. When Edna is residing in the city, she is weighed down by societys expectations of her. She must be home on certain calling days, she must be subservient to her husband, she must put her children before all else, and she must be the person that conformed society encourages her to be. On the other hand, when she is on the island for the summer, Edna is freed from many of her duties. Her husband is often away with business, her children spend the days playing at the beach, the other inhabitants live so close as to make calling obsolete, and Edna is left with a sense of freedom from all which holds her down in the city. Another important aspect in The Awakening  and  Grand Isle is symbols. Most obviously, water is continually contrasted against land as a source of freedom. As is typical in much of literature, the water serves as a symbol of free will and lack of restraints. Just as the ocean cannot be forced to move in any controlled way and is not enclosed by any sort of container, Edna feels that, while in the water, she has complete autonomy over her life. On land, however, this independence is lost, as she must once again conform to the conventions of society. Ednas suicide by drowning in the ocean represents her achievement of ultimate release from society, for social restrictions cannot impede the dead. Birds serve as another motif throughout the novel and the movie, also a symbol of freedom. As birds are not confined to two dimensions of movement, like human beings and all land dwelling animals, they are seen as unchained from the ground, free to move about at will in the spacious and seemingly unlimited sky. Like a bird, Edna feels that she should also be able to move and act at whim, yet like many of the birds in the novel and the film, she is caged and tied down by the constraints of society. At the end of the novel, although this detail is missing from the film adaptation, a sea bird with a broken wing is seen flying above the ocean. The bird, though still free, still somewhat able to fly, does not have the complete, ideal freedom of the other birds. This bird represents Edna, as she cannot have ideal freedom, for society will always be a constricting factor, so she must, like the injured bird, choose to be free in an imperfect manner, or remain completely restricted and tied down. Characters, especially Edna and her two foils, are important elements of both the novel and the film. As a woman in a very traditional social position, Adele Ratignolle is an extreme opposite of Edna. Adeles entire life revolves around her husband and children, and she exists entirely within, and without questioning the constraints set up by society. This is the type of woman that Edna feels so strongly that she should not be. On the other extreme is Mademoiselle Reisz, who is not married and is portrayed as absolutely independent; she has cast off the most traditional roles of women by remaining unmarried and childless, and she often scoffs at many other aspects of society and the people who sustain those aspects. This is the type of woman that Edna looks up to and aspires to emulate. All three of these characters are symbols for different eras of women. Chopin uses Adele to represent the traditional woman, happy with her lack of freedom because she knows nothing else. Edna embodies the feminist movement, representing change and movement towards independence. Mademoiselle Reisz is the future woman, the woman that the feminist movement hopes to release. She is the fundamental goal of the feminist revolution. Overall, while  The Awakening  and  Grand Isle  are almost completely the same, they both portray one womans awakening to the realization that society is confining, and her conviction that she must follow her newfound awareness or risk being held down forever.