Dimensional Analysis in Physics Problems

Dimensional analysis is a method of using the known units in a problem to help deduce the process of arriving at a solution. These tips will help you apply dimensional analysis to a problem. How Dimensional Analysis Can Help In science, units such as meter, second, and degree Celsius represent quantified physical properties of space, time, and/or matter. The International System of Measurement (SI) units that we use in science consist of seven base units, from which all other units are derived. This means that a good knowledge of the units youre using for a problem can help you figure out how to approach a science problem, especially early on when the equations are simple and the biggest hurdle is memorization. If you look at the units provided within the problem, you can figure out some ways that those units relate to each other and, in turn, this might give you a hint as to what you need to do to solve the problem. This process is known as dimensional analysis. A Basic Example Consider a basic problem that a student might get right after starting physics. Youre given a distance and a time and you have to find the average velocity, but youre completely blanking on the equation you need to do it. Dont panic. If you know your units, you can figure out what the problem should generally look like. Velocity is measured in SI units of m/s. This means that there is a length divided by a time. You have a length and you have a time, so youre good to go. A Not-So-Basic Example That was an incredibly simple example of a concept that students are introduced to very early in science, well before they actually begin a course in physics. Consider a bit later, however, when youve been introduced to all kinds of complex issues, such as Newtons Laws of Motion and Gravitation. Youre still relatively new to physics, and the equations are still giving you some trouble. You get a problem where you have to calculate the gravitational potential energy of an object. You can remember the equations for force, but the equation for potential energy is slipping away. You know its kind of like force, but slightly different. What are you going to do? Again, a knowledge of units can help. You remember that the equation for gravitational force on an object in Earths gravity and the following terms and units: Fg G * m * mE / r2 Fg is the force of gravity - newtons (N) or kg * m / s2G is the gravitational constant and your teacher kindly provided you with the value of G, which is measured in N * m2 / kg2m mE are mass of the object and Earth, respectively - kgr is the distance between the center of gravity of the objects - m  We want to know U, the potential energy, and we know that energy is measured in Joules (J) or newtons * meter  We also remember that the potential energy equation looks a lot like the force equation, using the same variables in a slightly different way In this case, we actually know a lot more than we need to figure it out. We want the energy, U, which is in J or N * m. The entire force equation is in units of newtons, so to get it in terms of N * m you will need to multiply the entire equation a length measurement. Well, only one length measurement is involved - r - so thats easy. And multiplying the equation by r would just negate an r from the denominator, so the formula we end up with would be: Fg G * m * mE / r We know the units we get will be in terms of N*m, or Joules. And, fortunately, we did study, so it jogs our memory and we bang ourselves on the head and say, Duh, because we should have remembered that. But we didnt. It happens. Fortunately, because we had a good grasp on the units we were able to figure out the relationship between them to get to the formula that we needed. A Tool, Not a Solution As part of your pre-test studying, you should include a bit of time to make sure youre familiar with the units relevant to the section youre working on, especially those that were introduced in that section. It is one other tool to help provide physical intuition about how the concepts youre studying are related. This added level of intuition can be helpful, but it shouldnt be a replacement for studying the rest of the material. Obviously, learning the difference between gravitational force and gravitational energy equations is far better than having to re-derive it haphazardly in the middle of a test. The gravity example was chosen because the force and potential energy equations are so closely related, but that isnt always the case and just multiplying numbers to get the right units, without understanding the underlying equations and relationships, will lead to more errors than solutions.

Using Infinitives after Prepositions in Spanish

One of the most common uses of infinitives is as the object of a preposition. When used in such a way, the infinitive is often the rough equivalent of the English gerund, that is, the -ing form of the verb, and can be translated in that way. Using Infinitives After Prepositions in Spanish In some cases, the infinitive is used to indicate additional action by the subject of the sentence: Examples: Roberto salià ³ sin verte. Roberto left without seeing you. Saldrà ¡ despuà ©s de comer. She will leave after eating. Chile ganà ³ por no seguir a la ortodoxia. Chile won by not following orthodoxy. Todos los nià ±itos se conformaban con aprender su letra de molde. All the children resigned themselves to learning how to print. In other cases, the infinitive is used just as would any other noun in a prepositional phrase: Examples: Gracias por no fumar. Thank you for not smoking. Para ellos, ser vasco es incompatible con ser espaà ±ol. For them, being Basque is incompatible with being Spanish. El presidente viajà ³ a Londres para hablar de la situacià ³n humanitaria. The president traveled to London in order to speak about the humanitarian situation. Si tienes preguntas acerca de comprar la revista, favor de llamar por telà ©fono. If you have questions about buying the magazine, do the favor of calling by telephone. If youre translating from English to Spanish, there are times you translate -ing verb forms with the -ando or -iendo verb forms of Spanish. For example, I am speaking can be translated as estoy hablando. However, when the verb follows a preposition, you should never translate using that form of the verb; use the infinitive instead. English: I am sick of thinking about you.Correct: Estoy harta de pensar en ti.Incorrect: Estoy harta de pensando en ti. There is one common usage of the infinitive following a preposition in Spanish that doesnt have an exact English equivalent. The infinitive acts as something of a passive description: Examples: La lata sin abrir puede durar hasta 12 meses. An unopened can can last up to 12 months. En la mesa estaba una manzana a medio comer. On the table was a half-eaten apple. Hay muchas tareas por hacer. There are many tasks to be done. Tengo un par de libros sin leer. I have a pair of unread books. Such a use of the infinitive is most common following sin (meaning without) and the phrase a medio (translated as half).

Essay on Juveniles Tried as Adults - 843 Words

Deviance Final : Question #1 A juvenile being tried as an adult is a very sensitive and controversial issue over the past years. There has been a significant increase in the number of juvenile offenders being tried in adult courts for serious crimes. Juveniles should be tried as adults depending on the seriousness of the crime that they commit. There are many factors that contribute to juvenile courts and to what extent a juvenile should be tried as an adult. The juvenile justice system was intended to rehabilitate offenders that committed non-serious crimes. Juveniles of today seem to take advantage of this system by committing violent crimes. Juveniles think they might get off easier because they believe they will be tried as†¦show more content†¦Although this is harsh, it serves as a great way to show that committing crimes is serious and a punishment will be set (Estudillo, 2001). This is portrayed in the updated juvenile justice system. The previous juvenile justi ce system could not keep up with the overwhelming amount of violent juvenile offenders. The juvenile justice system was just reprimanding minors not very seriously. The system needs to give violent offenders individualized attention. They need to help offenders who are threats to society even after being sentenced in the system. The first laws were not designated to deal with extremely violent cases; they were mostly created for minor crimes. The focus was also on rehabilitation, and trying to fix problems. It is proven that â€Å"rehab centers have had little influence on youths† (Estudillo, 2001). Many juvenile offenders go through the system and just take rehabilitation as an â€Å"easy way out†, many offenders go through the rehabilitation program numerous times before something can be done to actually reprimand them. Criminals must be held accountable no matter if they are minors or not. Juveniles that commit these heinous crimes, such as murder, need to think about the families of the victim. If the juveniles are just tried in juvenile courts they usually will be sentenced with a less harsh sentence. These families of the victims feel that they are abandoned and feel less secure that the criminal can go out and victimize someone else.Show MoreRelatedJuveniles Tried As Adults1372 Words   |  6 PagesJuveniles are not allowed to drink, drive, or get married, and are not capable of making mature responsible decisions, but can be on the verge of an adult sentencing. Juveniles’ tried as adults has been a major topic in the Criminal Justice system for many years. The controversy primarily focuses on the brain development, safety, and rehabilitation of the juvenile; versus an adult punishment towards them. These opinions have continuously produced outburst in the Criminal Justice system. Some argueRead MoreShould Juveniles Be Tried as Adults?1017 Words   |  4 Pagesto be growing up earlier as the years go by. Serious crimes committed by juveniles have stayed pretty much the same in the last twenty years, but that is not to say people have not concluded differently. A thanks to laws passed in the ninety’s and more specifically between ninety two and ninety seven, It is easier to try juveniles as adults in the court system. There are multiple pros and cons to juveniles being tried as adult. These arguments range from a crime is a crime to they are not mentallyRead MoreShould Juveniles be tried as Adults?2030 Words   |  9 Pagesï » ¿Running Head: SHOULD JUVENILES BE TRIED AS ADULTS? Should Juveniles be tried as Adults? Should Juveniles be Tried as Adults? The law states that any person under the age of 18 is classified to be a juvenile and when they commit a crime they are tried in the juvenile court system. Although this is true with most cases there are times when the state will allow youths under the age of 18 to be tried as adults. This differs from state to state as eachRead MoreShould Juveniles Be Tried As Adults?4864 Words   |  20 PagesShould juveniles be tried as adults? In my opinion I think they should because when you turn a certain age, you gain certain privileges. â€Å"You achieve certain rewards such as voting rights, the ability to purchase a house, the ability to purchase tobacco products at the local gas station, but most importantly the ability to be held responsible for your actions. When you turn 18 a whole other world opens for you, and that’s because an 18-year-old is considered an adult in nearly every state, whichRead MoreShould A Juvenile Be Tried As An Adult? Essay1884 Words   |  8 Pag esHeinous crimes are committed every day in the United States. Each year thousands of juveniles under the age of 18 are arrested. The debate of â€Å"should a juvenile be tried as an adult† is one for the ages. Many would like to argue against the idea as they believe firmly in rehabilitation. But what happens when the crimes are so violent that the family is unable to recognize the victim or when the juvenile shows no remorse and then goes on to harm others. At what age should one be held accountableRead MoreJuveniles Should Be Tried As Adults1964 Words   |  8 Pagescommit an adult crime then you should be charged as an adult as well. Teenagers should be tried as adults for the violent crimes that they commit. In today’s generation, there are a lot of crimes taking place. Adults aren’t the only ones that are committing the crimes, teenagers are as well. If you are old enough to do the crime, you are old enough to do the time. Juveniles should be responsible for their own actions and they should be held accountable for the decisions they make. Juveniles do violentRead MoreJuveniles Being Tried As Adults1238 Words   |  5 Pagesâ€Å"Juveniles Being Tried as Adults† There are articles or news reports every once and a while about juveniles committed heinous crimes, but not serving any real time for the crime. Juveniles or even adults should not serve a few years for murder or rape. Murderers, rapists and other criminals are being released from jail every day after serving only very short sentences for their heinous crimes. (Source #1) Who are these criminals and what makes them so special? The criminals are juveniles who commitRead MoreJuveniles Being Tried as Adults1328 Words   |  6 Pagesidea of a juvenile or teenager being tried as an adult has been a very controversial issue. When a juvenile commits a very heinous crime, many believe that that youth deserves to be tried as an adult, and given a full sentence. Some even believe that these juveniles deserve to go to adult prison. When a child kills, does he instantly become an adult? Or does he maintain some trappings of childhood, despite the gravity of his actions? (Reaves Para 1). What dr aws the line between a juvenile and adultRead MoreJuveniles Should Not Be Tried As Adults1497 Words   |  6 PagesWhether juveniles should be tried as adults in the justice system or not, has been an ongoing debate for many people. There has been many cases throughout time where people under the age of 18 have been tried as adults in the justice system. Information about this debate can be found in articles, novels, and podcasts. Typically people who are under the age of 18 are identified as a juvenile delinquent and go through different procedures after committing a crime. There is many examples and evidenceRead MoreJuveniles Being Tried as Adults1057 Words   |  5 PagesShould Minors Who Commit Violent Crimes Be Tried As Adults? Thesis Statement Many adults come up with many reasons why youth involve themselves with acts of violence, there is never an actual answer to why they committed the crime, but the question of why they are being tried as an adult. Vicious misconduct is well-defined by the Division of Juvenile Justice as â€Å"murder, rape, severe attacks, and theft. These are all actions that sound terrible and cause for harsh consequences. Unluckily, there

Global Brand Marketing

Questions: 1. Critically analyse the extent that your chosen global brands marketing mix is standardised and/or adapted across international markets. Conclude by providing a 2-3 paragraph summary that discusses whether you consider this to be an appropriate strategy(s). Remember to support your answer.2. Discuss which Internationalisation Process Theory (IPT) best describes the internationalisation process that your chosen global brand has undertaken. Again, remember to support your answer. Answers: Introduction: This report provides a deep insight into the marketing capabilities of McDonalds and its business conducts, particularly in the United Kingdom. This brand is counted amidst the top global brands. This report aims at critically analyzing the extent that the marketing mix of McDonalds is standardised across international markets. It also discusses the Internationalization Process Theory (IPT) with emphasis on the strategy of franchising system. The report provides detailed marketing capabilities, positions and information about McDonalds. Company Background: McDonalds is considered to be a market leader in the sandwich shops that offers healthier food options to the traditional fast food centres. The annual sale of the brand exceeds around $6.2 billion and it has effective market presence in most of the countries. The firm possesses almost 28,000 units across the globe while the rapid development of the brand has successfully attracted several investments (Allah Pitchay, n.d.). This has also led to the extreme competitions with other competitors like KFC, Burger King, etc. Having participated actively in the most dynamic and competitive market, the firm is said to face extreme market challenges. And so, the key highlight is on the marketing mix to be developed by the firm to gain market growth and profitability. As per the future strategies of the organization, it has planned to open around 1700 new locations in the UK by 2015. The firm ensures that their operations perfectly match the requirements of the customers (CirikoviĆ¡, 2014). This is made possible by McDonalds by increasing the number of options. The firm is said to conduct elaborate market research upon the preferred locations. It aims at eliminating the problem issue of waiting with the orders, queues or hassles. Marketing Objectives: The firm has the key marketing objective of maintaining positive and potential market penetration at every quarter of the year. It acquires ample information regarding the market and in fact possesses a greater understanding of the needs of the customers (Dominici, 2009). The information proves to be highly beneficial and can be leveraged to increase understanding of those to be served by them, their needs and expectations, and the ways by which McDonalds may improve its communication through marketing approaches (Goi, 2009). It utilizes effective strategy of market segmentation, targeting and positioning to capture the largest market share. Target Segmentation: The McDonalds chain tested international waters when it opened its first unit in the small exotic Middle Eastern island nation of Bahrain in December of 1984. In a relatively short time, the McDonalds chain started to appear in such distant lands as Iceland, Poland, Nicaragua and China. With time it started developing itself into multiple nations, whereby the economic is quite stable and adequate market opportunities exist (Gore, 2006). It is evidenced that McDonalds targets certain religious as well as cultural segments, at the same time keeping and maintaining the original values intact. The locations of the chain outlets may be varied but the core menus, food quality, and activities are consistent and same throughout. Travellers all across the globe may expect the similar high quality ingredients and food regardless to the national locations. In the year 2003, the firm improved its nutritional content of Kids Pak meal by replacing the carbonated soft drink with juice box and also changing from high calorie cookie to fruit roll up fruit snack which is high in vitamin C. Kids Pak toys have also been designed to inspire several physical activities (Hassan, Reza and Farkhad, 2015). The web site serves as the source of information for parents who strive to manage diets of their children as well as exercise levels. The increase in the total sales of burgers has been the consequence of decline in the customer interest in fries as well as hamburgers, along with increase in the healthier options. It has been analyzed that the overall sales rate of burgers has grown to almost 15% annually. It also aims at capturing virgin international markets with its strong brand name. Marketing Mix: 4 Ps The concept of marketing mix includes four factors, namely product, price, place, and promotion. Product: The brand McDonalds offers variety of food options like pasta, salads, soups, dinners and desserts. The menu is varied along with fresh quality food products. In the year 1996, the chains flagship sandwich, the classic BMT was first launched. With the gradual passing of years, more and more types and varieties of sandwiches were added with sustainable improvements (Lado, Martnezà ¢Ã¢â€š ¬Ã‚ Ros and Valenzuela, 2004). McDonalds chain provides a line of latest crab-controlled wraps. Fresh toasted subs were added with time to its menu. The firm boasts of the fresh ingredients that are used for subs and sandwiches. In fact, the chain never hides anything from the customers. Every item is prepared on the spot and customers select their preferred toppings upon the subs. Most importantly, nothing is frozen or deep-fried in McDonalds (Otubanjo, 2013). Price: This element of the marketing mix is considered to be a potent one because of the direct influence upon the customers, the firm and the entire economy. The firm is said to utilize upscale pricing a bit higher than the normal subs within the market. The brand offers differential strategy of pricing along with price value (Piercy, 2012). It creates value products with quality service. Place: This element of market mix is concerned with operations required to shift products or services from seller to the consumers. The brand aims at opening more of 1700 chain outlets within the UK. The firm aims at using major business locations to draw the maximum number of customers. Mostly the non-traditional locations have been chosen by McDonalds to bring about developments in its business growth (Sorokin, 2012). The places that are chosen by McDonalds are amusement parks, airports, colleges, universities, hospitals, recreational areas, convention centres, convenience stores, secondary schools, travel centres, supermarkets, amusement parks, etc. The firm ensures that their operations perfectly match the requirements of the customers. This is made possible by McDonalds by increasing the number of options. The firm is said to conduct elaborate market research upon the preferred locations (Su et al., 2014). It aims at eliminating the problem issue of waiting with the orders, queues or h assles. Promotion: This element usually covers four aspects advertising, public relations, personal selling and sales promotions. The firms targets customers of age group 18-49 years; for maximizing the buying power it focuses on the age group of younger customers who belong to the group 18-34 years. The advertising objective of the chain is enhancing the presence of brand amidst customers (Taylor, Zou and Osland, 2000). The advertising is mostly done through national TV at the time of sports, prime time on major broadcast and cable networks. More advertising is done through local markets on radio, television and prints. The chain outlets promote messages in store along with point of purchase material such as menu translates, posters, etc. McDonalds chain provides a line of latest crab-controlled wraps. Fresh toasted subs were added with time to its menu (Topajka Shaw, 2001). The firm boasts of the fresh ingredients that are used for subs and sandwiches. In fact, the chain never hides anything from the customers. McDonalds understands the need to be highly aware of the competition within the target emerging market, as it generates all opportunities as well as threats which determine the attractiveness of target markets. McDonalds is known to implement the franchising system in an extensive manner. Internationalization Process Theory: McDonalds has successfully achieved the international success and has been still in the process. According to the higher management of McDonalds, it is a belief that customers crave for something that tastes really good, has got value for their money and also healthier at the same time. The process of internationalization for McDonalds had begun with the identification of potential markets across the globe (Vertinsky and Zhou, 2000). The firm has always aimed at expanding itself in the countries that were not really aware of such products or services. In the initial reading of top markets, the firm did not include Russia. However, presently Russia is up for several stores and it has been announced by McDonalds to get more 1000 stores by the end of 2015. The firm has been focusing at the economics within the market, and it perceives that Russia is much bigger market than that being anticipated (Zhang, Zhang and Jia, 2010). The internationalization took place by focusing on the market of the United Arab Emirates as the fastest growing nation. The development from suppliers to consumer market makes the competition worse. Specializations as well as innovations need upgraded marketing forms where the system of franchise is successful with marketing services and that of training or service-related products. McDonalds is known to implement the franchising system in an extensive manner. On account of the benefits of franchising for manufacturers in terms of traditional market forms, the overall share of such system with the food sector would be raised (Su et al., 2014). McDonalds chains are qualified in specific manner to use franchising as an international strategy. In the internationalization efforts of McDonalds, identifying as well as selecting the most effective foreign markets is a crucial factor for success. It follows the policy of selecting only those national markets that have the greatest projection of success by using the limited resources efficiently. While entering into foreign markets, the firm faced several constraints from external business environment within the targeted market. This influenced the entry strategies. As the markets are attributed by complexities, the firm well understands the need to analyze the business environments while trying out new emergent markets. While setting up business ventures in emergent markets, it is important to well understand the external business atmosphere which is critical element. The overall attractiveness of the target market segment with respect to profitability prospects happens to be a key parameter to decide on whether to enter market or not. Subway understands the need to be highly aware of the competition within the target emerging market, as it generates all opportunities as well as threats which determine the attractiveness of target markets. McDonalds is known to implement the franchising system in an extensive manner. On account of the benefits of franchising for manufacturers in terms of traditional market forms, the overall share of such system with the food sector would be raised. McDonalds chains are qualified in specific manner to use franchising as an international strategy. Evaluation of the external corporate environment as well as attractiveness of market segment within market segment, and also appreciating the link amidst the resources as well as capabilities of the firm with the target customer requirements is demonstrated as the critical task for any multinational company. This is considered to be important for conducting further economic development. Such factors are essential for any firm to be successful within the emergent market. Conclusion: Thus it may be concluded from the study that the firm has undertaken effective policies and operational strategies to occupy the lead position within the competitive market environment. The increase in the total sales of sandwich has been the consequence of decline in the customer interest in fries as well as hamburgers, along with increase in the healthier options. It has been analyzed that the overall sales rate of burgers has grown to almost 15% annually. It also aims at capturing virgin international markets with its strong brand name. References Allah Pitchay, A. (n.d.). Marketing Mix from Islamic Marketing Perspective.SSRN Journal. CirikoviĆ¡, E. (2014). Marketing Mix in Tourism.Academic Journal of Interdisciplinary Studies. Dominici, G. (2009). From Marketing Mix to e-Marketing Mix: a literature overview and classification.IJBM, 4(9). Goi, C. (2009). A Review of Marketing Mix: 4Ps or More?.IJMS, 1(1). Gore, B. (2006). Book Review: Cases in Operations Management: Building Customer Value Through World-Class Operations.Business Communication Quarterly, 69(2), pp.232-237. Hassan, H., Reza, D. and Farkhad, M. (2015). An Experimental Study of Influential Elements on Cyberloafing from General Deterrence Theory Perspective Case Study: Tehran Subway Organization.International Business Research, 8(3). Lado, N., Martnezà ¢Ã¢â€š ¬Ã‚ Ros, E. and Valenzuela, A. (2004). Identifying successful marketing strategies by export regional destination.International Marketing Review, 21(6), pp.573-597. Otubanjo, O. (2013). The Extended Corporate Identity Mix.IJMS, 5(1). Piercy, N. (2012). Business history and operations management.Business History, 54(2), pp.154-178. Sorokin, J. (2012). Strategies for Choosing Influentials in Buzz Marketing.JOIS, 5(2), pp.82-87. Su, S., Tang, T., Li, X. and Gao, Z. (2014). Optimization of Multitrain Operations in a Subway System.IEEE Trans. Intell. Transport. Syst., 15(2), pp.673-684. Taylor, C., Zou, S. and Osland, G. (2000). Foreign market entry strategies of Japanese MNCs.International Marketing Review, 17(2), pp.146-163. Topajka Shaw, V. (2001). The marketing strategies of French and German companies in the UK.International Marketing Review, 18(6), pp.611-634. Vertinsky, I. and Zhou, D. (2000). Product and process certification Systems, regulations and international marketing strategies.International Marketing Review, 17(3), pp.231-253. Zhang, S., Zhang, P. and Jia, K. (2010). Impacting Analysis on the Coupler and Buffer of a Subway Vehicle for the Shunting Operations.AMM, 44-47, pp.1687-1692.