Experiment to Prove Hookes Law

Experiment to Prove Hookes Law Hooke’s Law Aim: -To prove Hooke’s law i.e. the extension of the force is directly proportional to the force applied. To find the spring constant of the spring. Apparatus: Clamp Stand Helical Spring Mass Hanger Pointer Meter Ruler Measuring Balance Method: -Hang a helical spring from a clamp stand. -Attach a mass directly to the bottom of the helical spring and record the position of the bottom of the mass hanger relative to a meter ruler. -Add masses to the spring and record the position of the bottom of the mass hanger. Safety Precautions: Wear safety goggles to prevent any accidents that could occur due to the weights bouncing off the spring. Keep a distance from the apparatus. Be sure that the spring is tightly attached to the clamp. Do not play around with the masses or springs. Data Collection and Processing Uncertainty in a measuring balance =  ±0.1g To covert to kg = 0.1à ·1000 =  ±0.0001kg Uncertainty in a meter ruler =  ±0.05cm To convert to meters = 0.05 à · 100 =  ±0.0005m †¢Formulas Absolute Uncertainty= Limit of readingà ·2 Relative Uncertainty= Absolute Uncertainty à · Measured Value % Uncertainty = Absolute Uncertainty à · Measured Value Ãâ€" 100 Force (Newton’s) = Mass (Kg) Ãâ€" Acceleration (ms- ²) Average Extension (cm) = Extension while loading (m) + Extension while unloading (m) à · 2 Spring Constant, k (Nm- ¹) = Force (Newton’s) à · Extension (m) Elastic Potential Energy (Joules) = 0.5 Ãâ€" Spring Constant Ãâ€" Extension ² Range Of Extension = Extension while loading – Extension while unloading Random Error = Range of extension à · 2 Table 1 Raw Data Table: Trial No. Mass (grams)  ±0.1 Mass (kilograms)  ±0.0001 Force Applied (Newton’s) F=MÃâ€"g  ±0.0001 Extension While Loading(meters)  ±0.0005 Extension While Unloading(meters)  ±0.0005 Average Extension =E1+E2à ·2 (meters)  ±0.001 1 10.2 ±0.1 0.0102 ±0.0001 0.100062 ±0.0001 0.036 ±0.0005 0.037 ±0.0005 0.0365 ±0.001 2 20.4 ±0.1 0.0204 ±0.0001 0.200124 ±0.0001 0.040 ±0.0005 0.039 ±0.0005 0.0395 ±0.001 3 30.6 ±0.1 0.0306 ±0.0001 0.300186 ±0.0001 0.043 ±0.0005 0.042 ±0.0005 0.0425 ±0.001 4 40.8 ±0.1 0.0408 ±0.0001 0.400248 ±0.0001 0.048 ±0.0005 0.046 ±0.0005 0.0470 ±0.001 5 51.0 ±0.1 0.0510 ±0.0001 0.500310 ±0.0001 0.051 ±0.0005 0.050 ±0.0005 0.0505 ±0.001 6 61.2 ±0.1 0.0612 ±0.0001 0.600372 ±0.0001 0.056 ±0.0005 0.057 ±0.0005 0.0565 ±0.001 7 71.4 ±0.1 0.0714 ±0.0001 0.700434 ±0.0001 0.061 ±0.0005 0.060 ±0.0005 0.0605 ±0.001 8 81.6 ±0.1 0.0816 ±0.0001 0.800496 ±0.0001 0.067 ±0.0005 0.067 ±0.0005 0.0670 ±0.001 †¢ Calculations for trial 1 Force (Newton’s) = Mass (kg) Ãâ€" Acceleration (ms- ²) = 10.2 ±0.1 (g) Ãâ€" 9.81 (ms- ²) = 100.062 ±0.1 (g) Covert the g to kg: 100.062 à · 1000 = 0.100062 ±0.0001 (kg) Average Extension = Extension while loading (cm) + Extension while unloading (cm) à · 2 = 3.6 ±0.05 (cm) + 3.7 ±0.05 (cm) = 3.65 ±0.1cm In meters = 3.65 ±0.1cm à · 100 = 0.0365 ±0.001m Table 2 The range of extension and the random error of the experiment: Trial No. Extension While Loading(meters)  ±0.0005 Extension While Unloading(meters)  ±0.0005 Average Extension =E1+E2à ·2 (meters)  ±0.001 Force Applied (Newton’s) F=MÃâ€"g  ±0.0001 Range of Extension (meters)  ±0.0005 Random Error (meters)  ±0.0005 1 0.036 ±0.0005 0.037 ±0.0005 0.0365 ±0.001 0.100062 ±0.0001 0.001 ±0.0005 0.0005 ±0.0005 2 0.040 ±0.0005 0.039 ±0.0005 0.0395 ±0.001 0.200124 ±0.0001 0.001 ±0.0005 0.0005 ±0.0005 3 0.043 ±0.0005 0.042 ±0.0005 0.0425 ±0.001 0.300186 ±0.0001 0.001 ±0.0005 0.0005 ±0.0005 4 0.048 ±0.0005 0.046 ±0.0005 0.0470 ±0.001 0.400248 ±0.0001 0.002 ±0.0005 0.001 ±0.0005 5 0.051 ±0.0005 0.050 ±0.0005 0.0505 ±0.001 0.500310 ±0.0001 0.001 ±0.0005 0.0005 ±0.0005 6 0.056 ±0.0005 0.057 ±0.0005 0.0565 ±0.001 0.600372 ±0.0001 0.001 ±0.0005 0.0005 ±0.0005 7 0.061 ±0.0005 0.060 ±0.0005 0.0605 ±0.001 0.700434 ±0.0001 0.001 ±0.0005 0.0005 ±0.0005 8 0.067 ±0.0005 0.067 ±0.0005 0.0670 ±0.001 0.800496 ±0.0001 0.000 ±0.0005 0.0000 ±0.0005 †¢Calculations for trial 1 Force (Newton’s) = Mass (kg) Ãâ€" Acceleration (ms- ²) = 10.2 ±0.1 (g) Ãâ€" 9.81 (ms- ²) = 100.062 ±0.1 (g) Covert the g to kg: 100.062 à · 1000 = 0.100062 ±0.0001 (kg) Average Extension = Extension while loading (cm) + Extension while unloading (cm) à · 2 = 3.6 ±0.05 (cm) + 3.7 ±0.05 (cm) = 3.65 ±0.1cm In meters = 3.65 ±0.1cm à · 100 = 0.0365 ±0.001m Range Of Extension = Maximum Value – Minimum Value = 0.037 ±0.0005 – 0.036 ±0.0005 = 0.001 ±0.005 (m) Random Error = Range of extension à · 2 = 0.001 ±0.005 à · 2 = 0.0005 ±0.0005 (m) Table 3 Processed Data Table: Trial No. Force Applied (Newton’s) F=MÃâ€"g  ±0.0001 Average Extension =E1+E2à ·2 (meters)  ±0.001 Spring Constant, k (Nm) % Uncertainty Elastic Potential Energy (Joules) % Uncertainty 1 0.100062 ±0.0001 0.0365 ±0.001 2.74 ±2.8% 0.0018251825 ±8.3% 2 0.200124 ±0.0001 0.0395 ±0.001 5.01 ±2.6% 0.0039084263 ±7.7% 3 0.300186 ±0.0001 0.0425 ±0.001 7.06 ±2.4% 0.0063760625 ±7.1% 4 0.400248 ±0.0001 0.0470 ±0.001 8.52 ±2.1% 0.0094103410 ±6.4% 5 0.500310 ±0.0001 0.0505 ±0.001 9.91 ±2.0% 0.0126364880 ±6.0% 6 0.600372 ±0.0001 0.0565 ±0.001 10.6 ±1.8% 0.01721974 ±5.3% 7 0.700434 ±0.0001 0.0605 ±0.001 11.6 ±1.7% 0.02122945 ±5.0% 8 0.800496 ±0.0001 0.0670 ±0.001 11.9 ±1.5% 0.02670955 ±4.5% †¢Calculations for trial 1 Force (Newton’s) = Mass (kg) Ãâ€" Acceleration (ms- ²) = 10.2 ±0.1 (g) Ãâ€" 9.81 (ms- ²) = 100.062 ±0.1 (g) Covert the g to kg: 100.062 à · 1000 = 0.100062 ±0.0001 (kg) Average Extension = Extension while loading (cm) + Extension while unloading (cm) à · 2 = 3.6 ±0.05 (cm) + 3.7 ±0.05 (cm) = 3.65 ±0.1cm In meters = 3.65 ±0.1cm à · 100 = 0.0365 ±0.001m Spring Constant = Force (Newton’s) à · Extension (m) = 0.100062 ±0.0001 (N) à · 0.0365 ±0.001 (m) % Uncertainty for Force = Absolute Uncertainty à · Measured Value Ãâ€" 100 = 0.0001 à · 0.100062 Ãâ€" 100 = 0.1% % Uncertainty for Extension = Absolute Uncertainty à · Measured Value Ãâ€" 100 = 0.001 à · 0.0365 Ãâ€" 100 = 2.7% Spring Constant = 0.100062 ±0.1% (N) à · 0.0365 ±2.7% (m) = 2.74 ±2.8% Nm- ¹ Elastic Potential Energy = 0.5 Ãâ€" Spring Constant Ãâ€" Extension ² = 0.5 Ãâ€" 2.74 ±2.8% Ãâ€" (0.0365 ±0.001)  ² = 0.5 Ãâ€" 2.74 ±2.8% Ãâ€" (0.001332255 ±5.5%) = 0.00183 ±8.3% Conclusion Evaluation Conclusion: In this experiment, I have been quite successful by proving the aim of the experiment which is Hooke’s Law. The results obtained are slightly incorrect due to any errors as part of the experiment. My calculations were all shown for trial one which whereas follows. In relation to the graph, the line does not pass through the origin as there were uncertainties. The line therefore starts a few cm from the origin on the y axis. The slope in the graph indicates the spring constant. It can be seen that the spring constant value in the graph does not match my result for trial no.1 as I have taken the spring constant value in N/cm. If I take the values in N/m and average all the values of the spring constant from my calculations I will end with a result equal to the gradient or slope of the graph that is 0.227. The units taken for every other value is standard and therefore is correct. My results are reliable as they do result in the Force being proportional to the Extension. I feel t hat my data is reliable and the graph does show that the extension of the spring directly proportional to the force that is applied to it. We also found that the spring constant and the elastic potential energy increases due to the extension of the spring being proportional to the force. Evaluation: I have found that the experiment did have many errors which could have been improved. There were both systematic and random errors involved in the experiment. The meter ruler (uncertainty of  ±0.05cm) and the digital balance (uncertainty of  ±0.1g) had uncertainty’s which could have altered the accuracy of the results. The experiment also had a parallax error due to the carelessness of me not observing the pointer and the length in the straight path. My equipment was not very accurate as I was given a meter ruler and not an attached ruler. This could have made it very inaccurate as the ruler was leaning over a wall. I could only take one reading per mass, as time management was an issue, which is not reliable as taking more than two readings and averaging the answer will give a more accurate result. The next time I perform this experiment, I will need to make sure that I have at least three readings per mass and should take the average of the three readings to minimize the errors. I should also make sure that the meter ruler is not leaning on a wall and that it is held on by a clamp or that I have the ruler stuck behind the clamp stand. While repeating the experiment one should also put a pointer on the hook to avoid parallax error and get the measurements even more accurate. Wasif Haque

Edward Jenner and Smallpox

Despite all of the controversy around vaccinations, vaccines have been around for nearly 200 years and are known to have saved millions of lives by preventing a person from infectious diseases through inoculation. The world’s first vaccine, the vaccination for smallpox was developed in 1796 by Edward Jenner, a doctor from England. Smallpox, which dates back to 1350 B. C. , is an infectious and contagious disease that plagued much of Europe and North American colonies during the 17th and 18th century. Smallpox claimed more than million deaths in Europe and Mexico before development of the vaccination. Dr. Jenner’s scientific research and observations led to the eradication of smallpox in 1979. The purpose of this paper is to examine one of the greatest achievements in public health, the smallpox vaccination and the man responsible for it, Dr. Edward Jenner. This paper will also focus on the effects that the smallpox vaccination has had on public and community health and how the process of immunization from infectious diseases has saved millions of lives today. What is Smallpox Smallpox is an infectious and contagious disease, which is caused by the variola virus. The virus, which has two forms, variola major and variola minor, was referred to as the speckled monster because of red, pustule, raised lesions that appeared on a person’s skin. Aside from the skin lesions, smallpox is characterized by typical flu symptoms such as fever, fatigue, muscle aches, malaise, and headache. Smallpox is an airborne transmitted infection, which multiplies itself in the lymph nodes while moving from cell to cell. A person is said to be contagious until the last lesion scab falls off. Whereas a cure for smallpox does not exist, the only form of prevention is vaccination (Barquet & Domingo, 1997). Edward Jenner and His Developments Edward Jenner, who was born on May 17, 1749 in England, developed an interest in science and nature during his early years. He worked as an apprentice under George Harwicke, in which he developed the interest in cowpox. Jenner went to London at the age of 21 to become a student of John Hunter, the most prestigious surgeon in England, Here, Jenner learned that if a person had cowpox he or she could not contract smallpox (Stern, 2005). Through Jenner’s apprenticeship with Hunter, he began learning surgical techniques and the use of scientific methods and observation. After publishing several scientific studies and learning through observations, Jenner's interest in smallpox grew and it was at this point in which he developed his hypothesis; â€Å"Cowpox protected a person from the human disease smallpox† (Barquet & Domingo, 1997, p. 639). Developing the Smallpox Vaccine Sparked by the interest in his hypothesis and the overwhelming plague of smallpox, Jenner decided to perform an experiment to test his hypothesis. Jenner came into contact with Sarah Nelms, a dairymaid who had contracted cowpox through an infected cow. To test his hypothesis, â€Å"Jenner extracted fluid from the pustules on Nelm’s hand and used that same fluid to inoculate an 8-year-old boy through two inch incisions on the boy’s arm† (Barquet & Domingo, 1997, p. 639). A few weeks later, Jenner injected fluid from a smallpox lesion into the arm of the same boy. This is known as variolation. The variolation did not produce a reaction and Jenner confirmed that the boy was protected against smallpox. As a result of Jenner’s studies, research, and observations, the smallpox vaccine was developed (Stefan, 2005). The Effect of the Smallpox Vaccine on Public and Community Health Upon the publication of Jenner’s inquiry, skepticism arose as Jenner began a nationwide survey to support his findings. Other physicians began vaccinating through Jenner’s method and the theory was confirmed. Those who were previously infected with cowpox and received variolation did not find themselves stricken by smallpox. The vaccination era had begun as news of the inquiry spread to the United States where the method was tried and confirmed once again by Benjamin Waterhouse, a Harvard Medical School professor (Barquet & Domingo, 1997). According to Barquet and Domingo (2005), â€Å"President Thomas Jefferson had 18 members of his family vaccinated and supported the theory that the vaccine preserves individuals from smallpox† (p. 640). President Jefferson later appointed Waterhouse as the â€Å"vaccine agent in the National Vaccine Institute, an organization to establish vaccination in the United States† (Barquet & Domingo, 1997, p. 640). Public and Community Health Today Several years after Jenner’s discovery, scientists had begun to develop new vaccines. Protesting began as antivaccinationists believed that vaccinating violated a person’s privacy. In 1905, the United States Supreme court ruled that â€Å"The need to protect the public health through compulsory smallpox vaccination outweighed the individual’s right to privacy† (Stern & Markel, 2005, p. 617). The World Health Organization (WHO) certified the eradication of smallpox in 1979. As other vaccinations emerged, such as vaccines for polio, diphtheria, measles, mumps, and rubella, people commonly worried about the safety and efficacy of these vaccinations. Today, many parents are under the impression that autism is linked to a preservative called thimerosal, which was used in many vaccinations such as DTP and Hepatitis B vaccines. Upon scientific studies, no connection was found. However, in 1999 the United States Food and Drug Administration stopped licensing vaccines that contained thimerosal (Stern & Markel, 2005). Conclusion The development of the smallpox vaccine and other immunizations are considered to be one of the greatest achievements in public health. Disease prevention is a major necessity of public and community health. Through extensive research, scientific studies, and observation, Edward Jenner paved the way for the evolution of public health. To date, vaccinations have saved millions of lives by protecting people against polio, diphtheria, measles, mumps, rubella, and smallpox. Although many people are skeptical about the safety and efficacy of immunizations, choosing not to be immunized puts not only the individual at risk but also other people at risk of contracting an infectious disease.

Evaluation of incredible India in UK market Essay

Like any other trade sector, evaluation of a brand in a specific market depends heavily on the data collected in some specific segments, and in here they are: A. Quality of infrastructure, i. e. , issues involved amenities like transport, water, rail and road links, boarding and lodging, etc. B. Travel behavior, i. e. , estimate about the appetites of the travellers. C. Effectiveness of communication: This area is self-explicit. D. Quality of product, i. e., quality and quantity of tourist sites, where quality should be interpreted as the magnitude of significance of a site in terms heritage, beauty, adventure, unique natural phenomenon, therapeutic or spiritual angles. Detailed and authenticated data on the state of these segments would be instrumental in determining the exact standing of this campaign in a specific market. For that matter this study uses the information furnished in the Report on Evaluation Study in Selected Overseas Markets (2007) created by The Gallup Organization for Market Research Division, Ministry of Tourism, and Government of India. A. Infrastructure: While the Gallup Study observes the overall growth in the infrastructure Industry is encouraging for tourism in the future, it furnishes terribly disappointing information in the next page, where it compares the state of India’s aviation industry to that of China and informs that India has 15 million seats (as on September 2006) as against 140 million seats in China (p. 13). However, the report churns out good news after a few pages by mentioning about the awards won by Incredible India campaign and the survey results that consider India amongst the top five favourite destinations (p. 17). B. Travel Behaviour: Only 32% people of United Kingdom are aware of Indian Tourism Offices, though India and UK has a direct relationship for around 300 years. The Gallup Report (p. 45) observes that the past travel record of UK citizens(46%) were only next to Australia (51%), while the current survey shows that American tourists (799, 062) have pushed the British tourists (796,191) behind them (Incredible, 2008). Gallup Report observes that in terms of future behaviour, UK shows only 5% growth rate (p. 50). Now tallying this observation with the state of communication with UK would provide the clue why the future of growth of Indian tourism in UK looks so dismal. C. Effectiveness of communication: The chart below highlights the state of communication between India and other major countries/continents in terms of travel arrangements. Booking for Travel Arrangement (% Yes) CANADA USA UK EUROPE MIDDLE EAST S. KOREA JAPAN AUS RECENT TRAVELLERS Through Phone 54 46 16 9 7 8 23 17 10 Through Internet 44 69 46 46 7 24 60 39 22. Through Travel Agents 89 63 56 60 45 76 83 74 68 In Person 76 44 18 34 72 15 33 43 15 Others 12 10 11 6 – 11 – 5 2 Gallup Report: P. 55 The above table shows that communication with UK is below expectation, if one considers the legacy of 300-year close communication between India and UK. D. Quality of product: From the perspective of the history of Indo-British relationship of over 300 years, elements like cultural heritage (colonial times) or deserves a place in the choice of the British travellers, but the survey (below) does not even include that. (%) CANADA USA UK EUROPE MIDDLE EAST S. KOREA JAPAN AUS RECENT TRAVELLERS Adventure Sports 14 18 5 18 17 13 15 12 2 Eco-tourism 54 56 35 44 65 27 25 34 16 Shopping 51 46 44 33 87 15 27 54 38 Sight-seeing 98 99 79 88 89 79 94 93 87 Pilgrimages 27 20 8 21 2 35 10 23 7 Visiting friends / relatives 35 25 23 12 8 – 6 19 17 Medical treatment 9 13 13 10 38 8 6 4 1 Cultural Events 61 75 31 67 22 52 46 67 – Others 34 52 14 44 4 – 8 17 2 Business purposes – 4 3 11 – – – – 26 Adapted from Gallup Study: P.57. Here also it is seen that UK is lagging behind USA and Japan, in spite of their close contact with India for more than three centuries. Another notable factor is that there is not much response in the medical tourism sector, though thee is a recent surge in Medical Tourism in India due to reasons like state-of-the-art medical facilities at far cheaper rates and high medical insurance cost in UK. A brief analysis of the online campaign of Incredible India would corroborate that too. III. 1. Analysis of online campaign: 1. Statement of Purpose (â€Å"About Us† page): While it boasts about its network of 20 offices within India and 13 offices abroad, it fails to mention about its central policy. 2. Topics covered: It contains three major topic domains distributed under heads like Trip Planner, Experience India and Holiday Ideas, where the first one deals with trip arrangements, second attempts to brief India thematically and the third one provides ideas about tourist activities. None of them contains any clue to the prospective medical tourists. Omission of this important issue looks is even more surprising, as the Tourism Department of India itself has launched a medical tourism campaign separately, where it clearly expresses its views like medical tourism or health tourism in India is fast gaining grounds and tries to gain competitive advantage by citing examples of quality infrastructure and cheap costs as against skyrocketing healthcare costs in the country like UK. It even goes on describing at length about the availability of various types of medical treatments and other facilities (Why India, 2007). 3. Apart from that, this campaign hasn’t properly tapped the potential of ancient Indian techniques of well being and healing, like Yoga, Vaastu Shastra, or other spiritual practices, which are now integral part of the global New Age movement along with their Buddhist or Mongoloid counterparts like Feng-Shui, Tai-chi, etc. These facts are already known in the medical fraternity of UK, as it is evident from the various other news like UK doctor setting shop in Goa for medical tourists due to the rising flow of medical tourists in India (UK Indian, 2007), or the news that health tourism in India have flourished to a huge extent, as the Indian hospitals currently estimated to deal with 150,000 foreigners each year (India’s rise, 2007). Yet, Incredible India, the flagship project of positioning Brand India continues to neglect this huge and constantly increasing segment of tourism. In other words, it can be said that the impact of campaign like Incredible India on UK doesn’t prove to be effective as it was expected to be. The above data facilitates the introduction of SWOT analysis on Incredible India Campaign from the perspective of UK market.

Business Ethics 301 Essay - 927 Words

TUI UNIVERSITY Module 2: Case Study, Should disabled veterans get preferential treatment over better qualified candidates who are not disabled veterans? Course Number: Ethics 301 Normally, when I have written papers in the past I have read the question asked of the professor and roll around the question in my head. I usually respond to the question with a â€Å"short answer†, which would be â€Å"no† or â€Å"long answer† which is â€Å"yes†, and then research the question further. I have done so with this question as well. My short answer is â€Å"no†. Why would a company hire a person with a disability, or someone without a disability, over a possible employee who is better qualified? After†¦show more content†¦Grades. Mrs. Value goes in to labor early. Dr Haynes does not perform a routine procedure correctly and the Value’s lose their precious child to negligence. Tell these parents who are grieving and lost their only child that the hospital did not hire the better qualified doctor. I realize this scenario is a bit far stretched. In my opinion I believe there are thousands of jobs in this country that DO hire the better qualified candidates who are disabled veterans. On merit alone, if I was a disabled veteran (of which I am) I certainly would want to be hired on merit. I would want to be the better qualified candidate for a position. As with government agencies, an employer may decide to give a veteran with a service- connected disability a preference in hiring. In fact, federal agencies may use specific rules and regulations, called â€Å"special hiring authorities,† to hire individuals with disabilities outside the normal competitive hiring process, and sometimes may even be required to give preferential treatment to veterans, including disabled veterans, in making hiring, promotion, or other employment decisions. The governme nt uses a point system for veterans and veterans with a disability. 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