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6 Pages

### hookes law

Course: MATH 9999, Spring 2010
School: 東京大学
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Word Count: 478

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Fsp N T m2g Fg = m1g T Ethan Martinez ethanxmartinez@yahoo.com Hookes law lab Personal statement- I liked the use of the springs they were surprisingly stretchy w hich was interesting. I found i t difficult to how to be cancel gravity from the calculations. A bstract- This investigation will t ry to find the spring constant for a spring with only a cart, t rack, ruler, string, masses, i ron stand, and table. By...

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Fsp N T m2g Fg = m1g T Ethan Martinez ethanxmartinez@yahoo.com Hookes law lab Personal statement- I liked the use of the springs they were surprisingly stretchy w hich was interesting. I found i t difficult to how to be cancel gravity from the calculations. A bstract- This investigation will t ry to find the spring constant for a spring with only a cart, t rack, ruler, string, masses, i ron stand, and table. By using the string t he tension on the cart can be used to find the spring constant by changing the mass of the masses. Hookes law will allow for the calculation of the spring constant. I n troduction- I f a weight, W = mg, is hung from one end of an ordinary spring, causing i t to stretch a distance x, then an equal and opposite force, F, is created in the spring w hich acts to oppose the pull of the weight. If W i s not so large as to permanently d istort the spring, then this force, F, w ill restore the spring to its original length after t he load is removed. F is thus called an elastic force and it is well known that the magnitude of an elastic restoring force is directly proportional to the stretch. This is a lso usable when placed on an angle and the mass placed over the ramp. P rocedure- 1. Gather materials(cart, t rack, ruler, pulley, string, masses, i ron stand, and spring) 2. up Set the t rack on an incline and the string attached to the cart and t he masses 3. Attach the spring to the cart and record the original distance 4. Add to the masses to get 50, 100, 150, 200, 250, 300, 350 grams and record the change in the distance of the cart Analysis: Original Length of the spring = L 0 = 10.8 cm Displacement = s The mass of the cart stay constant th roughout the experiment so, does not matter in t his lab. Free body diagram: Newtons second law: We can ignore F =m g because the mass of the cart stays constant. g 1 As we can see through free body diagram, and Newtons Second Law, Force of spring is equal to the tension, which also equal to the m g. 2 Table 2 Mass (kg) 0.000 0.050 0.100 0.150 0.200 0.250 0.300 F sp ( N) 0.000 0.490 0.980 1.470 1.960 2.450 2.940 0.350 3.430 The Force of spring can be calculated th rough mult iplying mass with g (9.8m/s ). T he restoring force is proportional to the displacement 2 So, the s is x-axis, and the force of spring is y-axis. The slope, which is spring constant (k) is 4.4069N/m. Spr ing constant (k) = 4.4069N/m Conclusion- The experimental value calculated was 4.4069 N/m. Some sources of error are t he parallax from the measurement of the change in the distance of the cart after a new weight has been added.
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CHAPTER1The Investment EnvironmentBodie Investments 6eCopyright 2008 McGraw-Hill Ryerson LimitedChapterSummary Objective:Toprovideageneraloverviewof theinvestmentenvironment AShortHistoryofInvesting TheEconomicSystemandInvestment IndividualsandFinan
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CHAPTER2FinancialMarkets andInstrumentsBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapterSummary Objective:Tointroducethefeaturesofvarious securitytypes,necessaryforthe understandingofthecomingmaterial MoneyMarketsandhowyieldsa
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CHAPTER3Tradingon SecuritiesMarketsBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapterSummary Objective:Toexplaintheinstitutionaldetailsand mechanicsofinvestinginsecurities. Howfirmsissuesecurities Typesofmarketsandorders Securi
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CHAPTER4Mutual Funds and Institutional InvestorsBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapterSummary Objective:Togiveanoverviewofinstitutional investingandinstitutionsroleinportfolio selectionandmanagement Investmentcompan
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CHAPTER5RETURN AND RISK: ANALYZING THE HISTORICAL RECORDcopyrightCopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objective: To introduce key concepts and issues that are central to informed decision making Determinants of interest rates Ri
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CHAPTER6RiskAversionand CapitalAllocation toRiskyAssetsCopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objectives: To present the basics of individual decision-making under risk The utility function Indifference curves To examine the asset
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CHAPTER7 Optimal Risky PortfoliosBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapter SummaryObjectives: To examine portfolio risk Portfolio risk and diversification The two security portfolio Extending to n securities The role of
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CHAPTER8TheCapital Asset Pricing ModelBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objective:Topresentthebasicversionofthe modelanditsapplicability. Assumptions ResultingEquilibriumConditions TheSecurityMarketLine
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CHAPTER10Market EfficiencyBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objective: To discuss the efficient market hypothesis and to examine the empirical evidence supporting or not the notion of market efficiency.
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CHAPTER11Behavioural Finance and Technical AnalysisBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objective: To examine two conflicting approaches to the efficient market hypothesis and explain their rationale and con
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CHAPTER13BondPrices andYieldsBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objective:Toreviewtheprinciplesofbond pricingandtoexaminethedeterminantsof creditrisk. BondCharacteristics BondPricingandYTM TaxationIssues
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CHAPTER14TheTerm Structureof Interest RatesBodies: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapter Summary Objective:Toexplorethepatternofinterestrates fordifferenttermassets. Thetermstructureundercertainty Forwardrates Theoriesoft
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CHAPTER22Portfolio Management TechniquesBodie: Investments 6ECopyright 2008 McGraw-Hill Ryerson LimitedChapterSummary Objective:Todiscussspecifictechniquesused inactiveportfoliomanagement InvestmentPolicy Indexing Hedging AssetAllocation SecurityS
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Chapter21Portfolio Management TechniquesF ifth C a n a d ia n E d itio nCopyright McGraw-Hill Ryerson Limited, 2005ChapterSummary Objective:Todiscussspecifictechniquesused inactiveportfoliomanagement Indexing AssetAllocation TheTreynorBlackModel He
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MarketingChapter 2 Developing Marketing StrategiesJames Bowen, PhdChapter Objectives Describehow a firm develops and implements a marketing plan Conduct a SWOT analysis and explain its use in marketing planning Explain how a firm choose what group(s)
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MarketingChapter 6 Consumer BehaviourJames Bowen, Phd655- 2Chapter ObjectivesDescribe the steps a customer goes through when buying a product or service Discuss what determines how much time consumers will search for information before buying a produ
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