Thursday, December 26, 2019
The Story of an Hourââ¬Â by Kate Chopin Essay - 1528 Words
ââ¬Å"The Story of an Hourâ⬠by Kate Chopin ââ¬Å"The Story of an Hourâ⬠by Kate Chopin is very intriguing, not only because of the emotional change Louise Mallard goes through the hour after her husbandââ¬â¢s tragic death but also the way Chopin uses irony in the story. During this analysis of ââ¬Å"The Story of an Hourâ⬠we will discuss the summary, plot, setting, tone, theme, point of view, emotions of Louise Mallard and other characters involved in the story. Chopinââ¬â¢s story uses the feelings of a married woman in the late 1890ââ¬â¢s and feminine identities, to help the reader better understand married life of a woman during that period in time. In the story, Louise Mallard is a young woman with a heart condition who recently is informed of her husbandââ¬â¢sâ⬠¦show more contentâ⬠¦I believe the story is very effective with the methods Chopin used to write with. ââ¬Å"We are told of the joy she feels with the freedom she finds in her husbandââ¬â¢s death, but we are not specifically tol d that she is skeptical of marriage in generalâ⬠(Hicks 1).The setting for this story is based in the spring of 1984 in Louisiana, ââ¬Å"the tops of trees that were all aquiver with the new spring lifeâ⬠(Chopin 2). In the story, Chopin does not describe many things with detail, she describes the only furniture as being ââ¬Å"comfortable, roomy armchairâ⬠(Chopin 2). Chopin also describes Mrs. Mallard as being, ââ¬Å"young, with a fair, calm face, whose lines bespoke repression and even certain strengthâ⬠(Chopin 2). The only method of transportation that is mentioned in the story is railroad and the only reason that method of transportation is mentioned is because that is how they believed Mr. Mallard died in a horrible railroad disaster. Chopin portrayed all of the characters very well throughout the story, which helped the story read better. Louise Mallard is the protagonist in this story and the antagonist is the bandage she has on in her role as a wife in the 1800ââ¬â¢s. There are only a few characters in this story and the main character is Louise Mallard, she is very well developed and changes throughout the story. After finding out about her husbandââ¬â¢s death she runs to her room and goes through many emotional changes. At first Louise is sad and then sheShow MoreRelatedThe Story Of An Hour By Kate Chopin1241 Words à |à 5 Pagesââ¬Å"The Story of an Hourâ⬠by Kate Chopin is a wonderful short story bursting with many peculiar twists and turns. Written in 1894, the author tells a tale of a woman who learns of her husbandââ¬â¢s death, but comes to find pleasure in it. Many of the elements Kate Chopin writes about in this story symbolize something more than just the surface meaning. Through this short story, told in less than one thousand one hundred words, Kate Chopin illustrates a deeper meaning of Mrs. Mallardââ¬â¢s marriage with herRead MoreThe Story Of An Hour By Kate Chopin855 Words à |à 4 PagesThe Story of an Hour In the ââ¬Å"Story of an Hourâ⬠by Kate Chopin, is about pleasure of freedom and the oppression of marriage. Just like in Kate Chopinââ¬â¢s story, inside most marriages, even the ones that seem to be the happiest, one can be oppressed. Even though, one might seem to be happy deep inside they miss the pleasure of freedom and living life to the fullest. Just like, in this story Mrs. Mallard feels trapped and when she hears about her husbandââ¬â¢s death she first feels distraught, but ultimatelyRead MoreThe Story Of An Hour By Kate Chopin1457 Words à |à 6 PagesEmotions and Death Everyone who reads a story will interpret things slightly different than the person who reads it before or after him or her. This idea plays out with most every story, book, song, and movie. These interpretations create conflict and allow people to discuss different ideas and opinions. Without this conflict of thought there is no one devoting time to debate the true meaning of a text. Kate Chopinââ¬â¢s ââ¬Å"The Story of an Hourâ⬠tells about a woman who is informed of her husbands deathRead MoreThe Story Of An Hour By Kate Chopin987 Words à |à 4 PagesIn Kate Chopinââ¬â¢s short story, ââ¬Å"The Story of an Hourâ⬠readerââ¬â¢s see a potentially long story put into a few pages filled with rising action, climax and even death. In the beginning of the story, character Louise Mallard, who has a heart condition, is told of the death of her husband by her sister and one of her husbandââ¬â¢s friends. Afterwards Mrs. Mallard is filled with emptiness and then joy of freedom. This joy of freedom is actually what consequently leads to her death in the end when she discoversRead MoreThe Story Of An Hour By Kate Chopin1061 Words à |à 5 PagesThroughout the short story, ââ¬Å"The Story of an Hourâ⬠, readers are introduced to characters whose lives change drastically in the course of this writing. Through Kate Chopinââ¬â¢s story we can identify many different themes and examples of symbolism in her writing. Chopinââ¬â¢s choice of themes in this writing are no surprise due to the time frame of which this story was written. Chopin often wrote stories with of womenââ¬â¢s rights, and is noted as one of Americaââ¬â¢s first open feminists. As this story of an ill, helplessRead MoreThe Story Of An Hour By Kate Chopin972 Words à |à 4 Pagesââ¬Å"The Story of an Hourâ⬠by Kate Chopin expresses Ms. Mallardââ¬â¢s feelings towards her husbandââ¬â¢s death in an appalling train accident. Due to her bad heart, her sister Josep hine had to be the bearer of bad news and approach his death gently to her. According to the quote, ââ¬Å" But now there was a dull stare in her eyes, whose gaze was fixed away off yonder on one of those patches of blue sky. It was not a glance of reflection, but rather indicated a suspension of intelligent thoughtâ⬠, it lets us know thatRead MoreThe Story Of An Hour By Kate Chopin998 Words à |à 4 Pagesââ¬Å"The story of an hourâ⬠by Kate Chopin was a story that was ironical yet profoundly deep. As a student I have been asked to read ââ¬Å"a story of an hourâ⬠many times, and every time Iââ¬â¢m surprised by how I enjoy it. People can read thousands of stories in their life times and only a handful will every stand out to them, stories that can draw out an emotion or spark a thought are the ones that will standout more. For me and ââ¬Å"a story of an hourâ⬠the thought of freedom is what draws me the most as a teenageRead MoreThe Story Of An Hour By Kat e Chopin1542 Words à |à 7 PagesIn the short story, ââ¬Å"Story of an Hourâ⬠, Kate Chopin writes about a woman with heart trouble, Mrs. Mallard, who, in finding out about the death of her husband, Mr. Mallard, experiences some initial feelings of sadness which quickly transition into the exhilarating discovery of the idea of a newfound freedom lying in front of her. When it is later revealed that her husband is not actually dead, she realizes she will not get to taste that freedom. The devastation kills her. What Mrs. Mallard goes throughRead MoreThe Story of an Hour by Kate Chopin596 Words à |à 2 PagesIn ââ¬Å"The Story of an Hour,â⬠Kate Chopin focuses on the idea of freedom throughout the story. Mrs. Mallard is a lonely wife who suffers from heart trouble. She is told by her sister Josephine and her husbandââ¬â¢s friend Richards that her husband has passed away in a train accident. She locks herself in a room expecting to be devastated, but instead feels freedom. Later, she exits her room and her husband walks through the door, causing her to die of a heart attack. Chopin uses this story to demonstrateRead MoreThe Story Of An Hour By Kate Chopin886 Words à |à 4 Pages In Kate Chopin ââ¬Å"The Story of an Hourâ⬠, the reader is presented with the theme of prohibited independence. In Kate Chopin ââ¬Å"The Stormâ⬠, the scenery in this story builds the perfect atmosphere for an adulterous affair. The importance of these stories is to understand the era they occurred. Kate Chopin wrote stories with exceptional openness about sexual desires. In ââ¬Å"The Stormâ⬠, a short story written by Kate Chopin in a time when women were expected to act a certain way and sexual cravings was considered
Wednesday, December 18, 2019
Poultry Business Plan - 1538 Words
Business Plan OWNER ââ¬â Joseph Reginald Nicolas Magdaleno Business Name ââ¬â ââ¬Å"JREG AGRO VENTURESâ⬠Address : 2641 Sitio Manggahan, Brgy. Pulong Buhangin, Sta. Maria Bulacan City, ST ZIP Code : 3020 Telephone : (02)533-65-54 Mobile: (+63)923-408-06-59 E-Mail : jreggie.mgdln@gmail.com I. Table of Contents I. Table of Contents 2 II. Executive Summary 3 III. Business Description 4 IV. Marketing Plan 6 V. Operational Plan 14 VI. Management and Organization 17 VII. Personal Financial Statement 18 VIII. Start-up Expenses and Capitalization 19 IX. Financial Planâ⬠¦show more contentâ⬠¦As our poultry farm grows, we will expand to a much larger shelter to hold 1000 to 2000 chickens and eventually add eggs, ducks and turkeys to the offered product. Our products are 100% organic which is a healthy choice of poultry product. Other poultry farms add genetic enhancers to the food that are given to the birds to enhance the growth and health to shorten the harvest time. We offer naturally grown poultry which is given 100% organic food and a natural environment for them to forest for their own food. IV. Marketing Plan Our target market is NCR, Valenzuela and Bulacan area that consumes poultry products. Our target marketââ¬â¢s population consumes poultry products at least five times a week. This demand for poultry products is very profitable. The poultry subsector posted a 3.92 percent output increment this quarter. It shared 13.30 percent in total agricultural production. Chicken production grew by 3.77 percent. At current prices, the subsector grossed P39.0 billion, down by 4.35 percent from the 2010 level. This data is from Philippine Department of Agriculture. [Table 1] PERFORMANCE OF PHILIPPINE AGRICULTURE JANUARY ââ¬â MARCH 2011.Show MoreRelatedHygeia International Case Analysis1470 Words à |à 6 PagesContext: 1980 Statement of the Problem: To determine whether to venture into poultry production, retain current business position, or to use poultry production as a sales promotion tool to increase profit Statement of the Objectives: * To determine the number of human resources needed for the company to be ready in venturing into poultry production in Nigeria in four weeks time * To analyze risks involved in poultry production in Nigeria in four weeks time * To determine historical dataRead MoreEssay on Hygeia Case Study735 Words à |à 3 PagesPAMANTASAN NG LUNGSOD NG MAYNILA (University of the City of Manila) Intramuros, Manila GRADUATE SCHOOL OF MANAGEMENT CASE ANALYSIS: HYGEIA INTERNATIONAL In Partial Fulfillment of the Requirements in BUSINESS POLICY Submitted to: Prof. Valmores Submitted by: JAMES RODNEY R. ROMANA Pamantasan ng Lungsod ng Maynila (University of the City of Manila) Graduate School of Management A. TITLE OF THE CASE: HYGEIA INTERNATIONAL B. POINT OR VIEW: HenryRead MoreStrategic Pl The Canadian Chicken Industry1006 Words à |à 5 PagesLike all other industries, strategic plans are essential in order to succeed. Without a strategic production, marketing, and financial plan companies and industries will not efficiently function and many problems are sure to arise. A strategic business plan are informal or formal techniques used by companies to better advance their products and marketing ideas, ultimately being successful and making lots of money. In many cases a formal strategic plan can help execute financial goals, sell more productsRead MoreCapitol Hill Quackery : Congress Attacks Poultry Farmers1437 Words à |à 6 Pages We have all wondered where, and how the poultry that is in our grocery stores had gotten there at some point in time, whether if we eat meat or not. When we find out, we are not too ecstatic with the results. It is unbelievable what they do just in order to get profit from the many variations of chicken the comp anies produce. They treat the birds as if they are not a living, breathing animal sitting right in front of them. They have no sympathy, for this wonderful creation, and all that it has toRead MoreHACCP and the Poultry Industry Essay1493 Words à |à 6 Pages(Sandrou and Arvannitoyanis 266). This system provides a scientific approach to combating food contamination, has a broad range of applications, and is directly related to the progress of the poultry industry. An E. coli O157:H7 outbreak in 1993 acted as a wake-up call to the nation that the meat and poultry inspection practices in use at that time werent as effective as needed. Up until this point, slaughter inspections consisted of visually assessing the animals and birds and checking the carcassesRead MoreExample Company Background1371 Words à |à 6 Pages1.0 Companyââ¬â¢s background Borneo Poultry Sdn. Bhd is a company that focusing on production of chickenââ¬â¢s meat which will soon to be one of the companies responsible in supplying poultry products in Sabah, specifically in Kota Kinabalu district. Borneo Poultry farm is located in sub-urban industrialised area in Jalan Tuaran, Inanam. The company have three business partners and aided with three experienced workers. Chickenââ¬â¢s farming is a lucrative business since chickenââ¬â¢s meat are consumed by universalRead MoreBuilding Sustainable Livelihoods For The Poor, Landless And The Disadvantaged Communities Living Essay1285 Words à |à 6 Pagesthe poor, landless and the disadvantaged communities living in the village of Bharss. Project Objectives: The specific objectives of the project are: â⬠¢ To build capacity of the Cooperative Society to implement proposed project and actively promote poultry and goat rearing activities â⬠¢ To encourage profit-driven social entrepreneurs undertaking production and marketing techniques for long-term sustainability â⬠¢ To create a buffer source of food and nutrition within the village in the form of surplusRead MoreHygeia International Essay1522 Words à |à 7 Pagesrecommend that should be done on this proposal? 2. Without good policies, a business organization will have no sense of direction. a) What do you understand by policy? b) Mention and discuss the characteristics of a good and effective policy. c) What are the advantages of written policy? 3. Effective organizational performance is usually constrained by environmental factors. Identify and discuss the relevant environment in business management and operations. 4 a) With the aid of a suitable diagramRead MoreAn Analysis Of Kfc s International Expansion Opportunities Essay1147 Words à |à 5 PagesIvey School Of Business Analysis By Carson McLaren December 5, 2016 BBB4M-1 Mr James Table of Contents Title Page 2. Table of Contents 3. Problem (Issues) Statement 4. Case Analysis 5. Analysis of Alternatives 6. Recommendations 7. Annotated Case Study Problem Identification Key Decisions Is International expansion the most effective way to see a positive result in the companyââ¬â¢s performance? Develop a Business strategy thatRead MoreThe Model For Wal Mart1207 Words à |à 5 Pageslargest retail store in the United States, and there is no larger retail chain in the world than Wal-Mart. At present it operates over 4,150 retail facilities globally. Wal-Mart Stores Inc. started joint venture business in India with Bharti Enterprises as a part of international business. The joint venture purpose was to build and operate cash and carry superstores in India under the name Best Price Modern Wholesale. As partners, the two companies jointly built 20 superstores. The first store opened
Tuesday, December 10, 2019
Graduation Speech For A Middle School Essay Example For Students
Graduation Speech For A Middle School Essay 1. To enrich my school experience I have been taking college classes galore. By the end of this year I will have about 20 college credits. Taking college classes has been challenging. Balancing extra work on top of my school schedule has at times has been challenging. However I have been preparing myself for college level work. This should ease the transition from high school to college. Also I get free credits. This is something that I suggest every one pursue. I work for a middle school doing workshops with their students on Fridays. I tech robotics. It is fun and I love seeing the light bulb moments2. My community is indeed extreamly important to me. It hurts my heart when I find problems that I canââ¬â¢t solve for it. I do my best. I helped kick off the NUCLEAR 4-H club I was the first president. We sponsor various FIST teams in the county, as well as host, expose workshops and other outreach activities to help get the community involved in STEM. This year I helped coach a robotics team and was on an all-girls team. through 4-H, I have participated in road clean ups, Christmas baskets for the elderly, caroling, and more worthwhile fundraisers then I can count. on top of that, I participate in Bodylines dance performances. every performance is a canned food drive. Another thing I have done is QPR. This is a suicide prevention training. My school has absolutely nothing set up to help people who are depressed or contemplating suicide. Recently we lost a graduated senior to suicide. His mother who works at the school has joined our cause as we try to convince the school to incorporate suicide prevention into our education. 3. I love traveling. This past summer I went to 7 different countries. I was ecstatic about the chance . . out or ignored. I had an idea on how to fix the program that they were puzzling over and I got yelled at and told that I was not allowed to touch the robot or computer. The next year I jump-started an all-girls team. I have electrified my prom dress, taught classes, coached teams, and am going to go to school to get a degree in computer engineering with an emphasis in robotics. This fascination has grown to be a passion of mine. If I had given in to the pressures of society I would have never learned that I enjoy building, programming, and designing robots. I donââ¬â¢t think anyone else should have to fight half this hard for something with as much potential as STEM. If I had let the stereotypical role of women discourage me, I would have never figured out what I wanted to do with my life. there is so much untapped potential hidden in the minds of the worldââ¬â¢s women. 287
Tuesday, December 3, 2019
Leszek Swirski Essay Example
Leszek Swirski Essay I will investigate the change of velocity and acceleration of a laterally moving object attached by a string and pulley to a dropped object, when the mass of the dropped object is changed.MethodApparatus** Trolley* Piece of Card* Runway* Weights* 2 Light Gates* Weights* Pulley* Computer* LogIt 9000* Insight Timing* Appropriate cablesDiagramSet up procedureThis is how I will set up the experiment:1. Set up the apparatus as above, with Light gate A at 45 cm from where the centre of the piece of card (not trolley) will start to move from, and Light gate B at 45 cm further.2. Make sure that there is enough space between the pulley and light gate B for the piece of card to go through the light gate. If not, move the starting point of the trolley back, and the light gates accordingly.3. Plug Light gate A and Light gate B into the LogIt, and plug that into the computer.4. Start up Insight Timing on the computerThen I am ready to startFair TestI will make this a fair test by limiting the key factors:- Weight of trolley I will use the same trolley every time to ensure the same weight- Distance travelled I will keep this constant by releasing the weights from the same height and releasing the trolley form the same place every time. I will also not move the light gates- Friction/Air Resistance Unfortunately, these cannot be avoided, however they will be minimal due to the equipment used, and will be relatively constant as I will not change apparatus.SafetyThere is little safety to be considered. No harmful substances are being used, neither are flames or solvents. I will need to take precautions when increasing the dropping mass, and make sure that all the weights are securely fixed. The main point would be to stop/catch the accelerated trolley before it falls off, especially at higher speeds.Execution ProcedureThis is how I will execute the procedure1. The starting point should be the centre of the piece of card. I will have 10g as the dropping weight2. I will start r ecording on Insight Timing, and let the weight drop, making the trolley and, more importantly, the piece of card move.3. I will make sure someone catches the trolley before it falls off (see safety)4. I will stop insight timing and move the trolley back to the start position5. I will then add another 10g to the weight and repeat from 2. until I have measure the velocity at a mass of 100g.I will repeat this procedure two more times, so that I have 3 repeatsTheoryThere are three points to be considered in the theory. The first is how the mass should affect the velocity. The second is how the height should affect the velocity. The third is how the mass will affect the acceleration.First let me discuss the first point. This test is based on converting gravitational potential energy into kinetic energy.Gravitational potential energy (g.p.e.) is mgh, and kinetic energy (k.e.) is 1/2mv2.If we consider the mass of the trolley to be m1, and the dropping mass to be m2, this gives us g.p.e. as m2gh, as only the dropping weight has g.p.e. The letter g is the gravitational constant, and is approximated as 9.81. The letter h is the height. Equally, k.e. is 1/2(m1+ m2)v2, as both the dropping mass and the trolley will move.By Law of Conservation of Energy, energy can neither be created nor can it be destroyed, however it can be converted from one form to another. Therefore, if the g.p.e. is not wasted in any other way (e.g. friction converting it into heat energy), it must all be converted into k.e.This means that g.p.e. = k.e., therefore:m2gh = 1/2(m1+ m2)v2If I didnt have to consider m1, this could be re-written as:v2 = 2m2ghm2This would mean that the m2s will cancel out, proving that the mass of an object has no effect on its falling speed (as confirmed by Galileo). This is not true, however, when there is a constant added to the denominator. This makes the formula:v2 = 2m2ghm1 + m2This does not allow for the masses to cancel out, therefore the velocity (of both) must dep end also on the falling mass.The second point to consider is the height. Due to the setup, the vertical drop will be converted into both vertical and horizontal movement. This means that the height can be represented on the horizontal as the movement of the trolley. Since the speed is measured as the average speed of the card as it moves, the starting point should be the centre of the piece of card.The two light gates are therefore at 45 cm and 90 cm. This means that in the formula, h will be 0.45 and 0.9 (as h is measured in metres).I should also consider the effect the height will have on the velocity. The formula is:v2 = 2m2ghm1 + m2Since the h is in the numerator, it must directly and positively influence the velocity, i.e. as it increases, so will the velocity.As for the third point, acceleration, a different formula is needed. In this instance, it is:v2 = v02 + 2axv0 is the starting velocity and v is the final velocity (at light gate B). a is the acceleration and x is the dist ance moved. In this case, as light gate B is 90 cm from the starting point, x = 0.9. Also, since the trolley is not moving at the start, v0 is 0As we want to know the acceleration and v0 is 0, this can be rearranged and simplified as:a = v22hSince we know v2 to be:2m2ghm1 + m2we can replace the v2 in the acceleration formula to conform. Also After some simplifying, this becomes:a = m2g I(m1 + m2)Therefore, as the mass increases, so will the acceleration.PredictionThere are really two predictions to be made. One is on the subject of velocity, the other on acceleration.For velocity, I predict that as the dropping mass will increase, so the velocity will also increase. I predict that there will be a linear relationship between v2 and m2, therefore, I predict that the relationship between v and m2 will have to be parabolic, on its side. I also predict that, due to the height being lower at light gate A than B, the velocity will be higher at B than A. I predict the graph to look like thi s:For acceleration, I predict that dropping mass will increase, so the acceleration will also increase. Since m2 is in both the numerator and denominator, I predict that the graph will be hyperbolic, on its side. This is because, as the m2s increase, the effect of the added m1 will decrease, almost to a point where it is relatively insignificant, as m2 is so large. This would mean that the m2s increase to a theoretical point where m1 is irrelevant, and they cancel out, making the acceleration stay the same, as g (9.81). This would make the graph hyperbolic with the asymptote as 9.81:A AnalysingResultsRepeat 1Repeat 2MassVelocity AVelocity BTimeAccelerationMassVelocity AVelocity BTimeAccelerationkgm/sm/ssm/s/skgm/sm/ssm/s/s0.000.000.000.000.000.000.000.000.000.000.010.270.381.350.080.010.270.381.360.080.020.450.650.800.260.020.470.670.770.250.030.580.830.620.400.030.600.860.610.430.040.690.960.520.520.040.701.000.520.590.050.771.030.470.540.050.761.120.470.770.060.841.170.430.760.06 0.801.210.440.910.070.911.190.400.690.070.911.320.401.040.080.971.380.371.100.080.971.410.371.190.091.011.470.361.300.091.021.460.361.220.101.021.480.351.290.101.111.530.341.23Repeat 3MassVelocity AVelocity BTimeAccelerationkgm/sm/ssm/s/s0.000.000.000.000.000.010.310.461.200.130.020.480.720.770.310.030.600.900.610.480.040.701.040.530.650.050.781.150.480.770.060.841.230.440.880.070.911.370.411.110.080.961.420.391.170.091.021.500.371.310.101.071.590.351.49From these results I can work out an average set of results:MassVelocity AVelocity BTimeAccelerationkgm/sm/ssm/s/s0.000.000.000.000.000.010.280.411.300.100.020.470.680.780.270.030.590.860.610.440.040.701.000.520.580.050.771.100.470.690.060.831.200.440.850.070.911.290.400.950.080.971.400.381.150.091.021.480.361.280.101.071.530.351.34AnalysisThere are several pieces of information that can be extracted from the above table. The first two are the changes in Velocity at points A and B when the mass increases. The second is the change in acceleration as the mass increases. Also these values can be compared to the theoretical to show how outside factors (like friction) have affected the results.The first that I will look at is the two velocities.Here, I have put on a graph the two points velocities against the changing mass. As you can see, the velocities both increase with the mass, however they increase less every time.Also, it shows how the velocity at B, further on (therefore at a higher height) is larger than the velocity at A (at a smaller height).Theory backs both these remarks. Firstly, I shall consider the heights influence. The formula for the velocity (squared) is:v2 = 2m2ghm1 + m2As h increases, its position makes it increase the amount in the numerator, therefore directly increasing the velocity. Therefore, as Bs height is larger than As, the velocity at B will always be higher that A. A notable exception is when m2 = 0, as then the height will have no effect as the numerator, and therefore velocity will have to equal 0.Secondly, I shall consider the influence of the dropping mass. In the formula, removing the influence of the m1 would make the m2s cancel out and make the velocity the same. However, this is not so. Since the denominator involves an addition, and the numerator does not, this mean that the velocity must increase as the mass increases.As to why the graph curves, it would be easier to consider a simpler fraction, namely:x Ix+1When x = 1, the fraction is 1/2. When x = 2, the fraction is 2/3. The difference between these is 1/6. When x = 3, the fraction is 3/4. The difference between the last two is now 1/12; half of what it was before. When x = 4, the fraction is 4/5. Now, the difference between the last two is 1/20; again, nearly half. If the fraction was plotted on a graph, this downwards trend in differences would make the line curved, as it would increase less every time.This does not change with multipliers, neither in the nominator nor denominator, as they only ch ange the scale, not the shape, neither does it change when the added constant is changed. This means that the same rule applies to the formula for velocity.As for comparing this graph to the prediction, the easies way would be an overlay of the two:This shows the prediction and real graph, both scaled to fit each other. The lines from the prediction are not exactly the same as in the prediction, as I have scaled them to fit the graph. As you can see, they follow each other nearly exactly. This, coupled with the fact that my theory agreed with the graph of the results, means that my prediction must have been correct.The second graph that I will look at is the accelerationIn this graph, the trend is not so apparent. Only one definitive piece of information can be derived from this graph: that the acceleration increases as the mass increases.Before I consider the shape of the graph, I will first explain the above point. The formula for acceleration against mass is:a = m2g I(m1 + m2)As I have described in my analysis of the velocity graph, this means that as m2 increases, a must also increase. However, the fact that this increase should be smaller every time is not so apparent. To explain this, I will look at the theoretical graph on the same scale:This graph, save for a few anomalies in the actual graph, is exactly the same. Therefore there are two options: the theoretical graph is incorrect or the graph is incorrectly drawn.My suspicion is that it is the latter. I believe that the graph will turn, however not yet, i.e. that the scale is too small. If I do the graph again, with the mass going not up to 0.10 but to 1.00, the graph looks like this:The graph now does indeed curve, as I had predicted. I believe therefore that had I continued the experiment up to a dropping mass of 1 kg instead of 0.1 kg, my actual graph would also curve. This, however, only speculation, and there is no way to tell without actually doing this. I can therefore only conclude that the ac celeration increases as the mass increases. This does, conform with my prediction, however it does not prove that the graph would be hyperbolic with the asymptote at 9.81, as the graph does not go that far.E EvaluatingStandard DeviationMassVelocity AVelocity BTimeAccelerationkgm/sm/ssm/s/s0.000.000.000.000.000.010.020.050.090.030.020.020.040.020.030.030.010.040.010.040.040.010.040.010.070.050.010.060.010.140.060.020.030.010.080.070.000.090.010.230.080.010.020.010.050.090.010.020.010.050.100.050.060.010.14In this experiment, a very fair result could be achieved due to the three repeats. In fact, as this table shows, the standard deviation was never higher than 0.23, and only three times exceeding 0.10. Obviously, this could be further improved by adding more repeats.Another way to improve the results would be to better standardise the place form which the trolley was released, as on the day this was only roughly estimated, leading to anomalies. Also, although this would be only theo retical, it would have been better to decrease the friction in the wheels, runway, and pulley and even air resistance. Factors such as these lead to energy losses reaching 54%.Energy Statistics at AMassEnergykgInput (J)Output (J)Loss (%)0.000.000.00N/A0.010.040.0254%0.020.090.0636%0.030.130.0930%0.040.180.1326%0.050.220.1626%0.060.260.1928%0.070.310.2424%0.080.350.2723%0.090.400.3023%0.100.440.3423%Energy Statistics at BMassEnergykgInput (J)Output (J)Loss (%)0.000.000.00N/A0.010.090.0452%0.020.180.1232%0.030.260.2025%0.040.350.2724%0.050.440.3325%0.060.530.4123%0.070.620.4823%0.080.710.5719%0.090.790.6419%0.100.880.7120%The input in these energy losses has been calculated as the theoretical input of the appropriate mass over the appropriate distance, namely:Input = mghThe output has been calculated as:Output = v2(m1+m2)2The loss percentage has been calculated as:Loss % = Input-OutputInputObviously, at a mass of 0, input and output are 0, and therefore the loss is not calculable, as it would include division by 0.These tables show that friction and air resistance created a very large margin of error for the experiment, especially at lower masses. The real and theoretical lines are compared on the next two graphs, of the velocity at A and at B, respectively. The frication and air resistance factor would explain the difference in scale, but similarity of the lines, which would other wise have to be explained with very coincidental anomalies.It is difficult to identify anomalies on a curved graph, however, as the graph shows, the real lines quite closely follows the theoretical lines, apart from the aforementioned difference in scale. On the first graph, there is one slight bump, which could be described as anomalous, at 0.06 kg, and a slightly smaller curve than predicted at 0.01 kg, however these are the worst examples of anomalies on the graph, and are minute. On the second graph, again there is a slightly smaller curve than predicted at 0.01 kg, there is again a small bump, this time at 0.07 kg, and the point is a bit lower than it should at 0.10 kg, however again the anomalies are minute.Much worse anomalies come on the graph of acceleration. Problems due to friction and air resistance are obviously present, as the real graph is below the theoretical graph; however the real line is also, for lack of a better word, wobbly. The unsteadiness of the line makes it difficult to identify which points are actually anomalous, however by drawing a straight line of best fit (also shown), I approximate these to be at 0.01, 0.08, 0.09 kg.The increased size of the anomalies may be due to the fact that the acceleration is calculated by using three measurements, velocity at A, velocity at B and the time, all of which can have slight mistakes which add up.If factors such as friction and air resistance could not be eliminated, it might have been beneficial to measure them instead, and adjust the final results accordingly. Therefore, as further work, it w ould have been helpful to find out the co-efficient of friction of the runway, i.e. find the force needed to move the trolley (measured using a Newton meter, by pulling the trolley along the runway) and divide this by the force exerted upon the trolley by the runway (this being its weight, 0.5 kg, multiplied by the gravitational constant, 9.81, making it 4.905 N). Air resistance could also be mesaured, by Stokes law which says that air resistance force is proportional to density of the air times the cross sectional area of the object times the square of the velocity of the object.Investigation on converting Gravitational Potential energy into horizontal and vertical Kinetic Energy
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