PowerPoint PresentationSlide 2Algebra ReviewSlide 4Slide 5Slide 6Chapter 1Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17Slide 18Slide 19Slide 20Slide 21Slide 22Slide 23Slide 24Slide 25Slide 26Slide 27Slide 28Slide 29Slide 30Slide 31Slide 32Chapter 2Slide 34Slide 35Slide 36Slide 37Slide 38Slide 39Slide 40Slide 41Slide 42Slide 43Slide 44Slide 45Slide 46Slide 47Slide 48Slide 49Slide 50Slide 51Slide 52Slide 53Slide 54Chapter 3Slide 56Slide 57Slide 58Slide 59Slide 60Slide 61Slide 62Slide 63Slide 64Slide 65Slide 66Slide 67Slide 68Slide 69Slide 70Slide 71Slide 72Slide 73Chapter 4Slide 75Slide 76Slide 77Slide 78Slide 79Slide 80Slide 81Slide 82Slide 83Slide 84Slide 85Slide 86Slide 87Slide 88Slide 89Slide 90Slide 91Slide 92Slide 93Slide 94Slide 95Slide 96Slide 97Slide 98Slide 99Slide 100Slide 101Chapter 5Slide 103Slide 104Slide 105Slide 106Slide 107Slide 108Slide 109Slide 110Slide 111Slide 112Slide 113Slide 114Slide 115Slide 116Slide 117Slide 118Slide 119Slide 120Chapter 6Slide 122Slide 123Slide 124Slide 125Slide 126Slide 127Slide 128Slide 129Slide 130Slide 131Slide 132Slide 133Slide 134Slide 135Slide 136Slide 137Slide 138Slide 139Slide 140Slide 141Slide 142Chapter 7Slide 144Slide 145Slide 146Slide 147Slide 148Slide 149Slide 150Slide 151Slide 152Slide 153Slide 154Slide 155Slide 156Slide 157Slide 158Slide 159Slide 160Slide 161Slide 162Slide 163Slide 164Slide 165Slide 166Slide 167Slide 168Slide 169Chapter 8Slide 171Slide 172Slide 173Slide 174Slide 175Slide 176Slide 177Slide 178Slide 179Slide 180Slide 181Slide 182Slide 183Slide 184Slide 185Slide 186Slide 187Slide 188Slide 189Slide 190Slide 191Slide 192Chapter 9Slide 194Slide 195Slide 196Slide 197Slide 198Slide 199Slide 200Slide 201Slide 202Slide 203Slide 204Slide 205Slide 206Slide 207Slide 208Slide 209Slide 210Slide 211Slide 212Slide 213Slide 214Download and print the lab manual before our next class meeting at:http://spot.pcc.edu/~lfellman/You can also get there by going to: MyPCCMy Courses TabSelect the lecture CRN for access to all course materialsPhysics 201 Lecture NotesInstructor: Laura FellmanSolving for a Variable Ex: 3x + 6 = 18Algebra ReviewUnits in Equations (like meters [m]): Ex: 3x + 6m = 18m x=4mAdded quantities must have same units!Always report units with your answer!In equations, treat units just like numbers See Examples3 ft x 2 ft =The Quadratic Equation For equations of the form: There are 2 solutions for x:0cba2 xxa2ac4bb2xExample: The 2 solutions for x are...A) 2.6, -1.1 B) 20.6, -19.1 C) 3.0, -1.5 D) 21.0, -19.5Solving 2 Equations for 2 UnknownsIsolate one variable in one of the equations.Plug that expression into the other equation.Now you have one equation with one unknown. Solve for it. Use result to find a value for the other variable. Ex: Find both x and y: 1843  yx626  yxandChapter 1Introduction and Mathematical ConceptsUnits of measurementEx: miles, feet, inches, hours, gallons, pounds, liters…SI units (metric) Length: meter (m)Time: second (s) Mass: kilogram (kg)Web Links: SI UnitsThe Kilogram Base Units (Other units derived from these) Volume: m3 Speed: m/s Power: (kg)(m2)/s3 = 1 WattScientific NotationExamples: 789,000,000 = 7.89 x 108 .000038 = 3.8 x 10-5 (or 3.8E-5 or 3.8 –5)Web Links: Scientific Notation, Powers of 10calculatorPrefixes 10-2 = centi- (c)103 = kilo- (k) 10-3 = milli- (m)106 = Mega- (M) 10-6 = micro- ()109 = Giga- (G) 10-9 = nano- (n)10-12 = pico- (p)Examples: 3000 m = 3 x 103 m = 3 km4.2 x 10-9 s = 4.2 ns780 g = .780 kgUnit Conversions (Web Link: Unit Conversion)If you have to do them by hand, (and you do! ) you need……Conversion FactorsConversion FactorsEx: 1 min = 60 sConversion factors: ands60min1min160 sEx: How many seconds are in 47 minutes?Question: How can we go around multiplying things by conversion factors without increasing or decreasing their values?????are all equal to 1Why are conversions so important?? Just ask NASA: The Mars Climate ObserverMore Conversion Factor Examples:42 miles per hour = how many meters per second? 6.0 square kilometers = how many square meters?Significant FiguresHow many significant figures do you think these have?1.231.201.200.0037380,000Here’s the rule: Zeroes that only exist to separate other numbers from the decimal don’t count as significant figures. (Now let’s try some more…….).003400402402.1 Web Link: Significant FiguresWhy do we care about significant figures??No final result should have more significant figures than the data used to calculate it!**But don’t round off until the final resultExamples: 42 mi/hr = 18.78333333 m/s = ?TrigonometryFor any right triangle: adjopptans i no p ph y pc o sa d jh y pRight angleCall this angle hypotenuseoppositeadjacentOr…hypotenuseadjacentoppositeTrigonometry ExamplesEx:8.0 m23ºy=?xs i no p ph y pc o sa d jh y padjopptanAnother Example:How steep is the hill? (Find ) .50 km2.9 kmDegrees (°) or Radians (rad)???A complete circle has 360ºA complete circle has 2 radConversion factors: and 3 6 02or a d23 6 0r a doVectors and ScalarsVector Quantities – have magnitude and directionEx: displacement: I walked 20 meters westEx: velocity: 60 miles per hour northVector – an arrow drawn to scale used to represent a vector quantityEx:Scalar Quantities – have magnitude only, no directionExamples: ?? 60 m/s east30 m/s east30 m/snorthAdding VectorsParallel Vectors Non-Parallel Vectors3 mi 1 mi 2 mi+ =3 mi 1 mi 4 mi+ =in the same direction: addin opposite directions: subtract3 mi2 miResultant – the net result of adding 2 or more vectorsWeb Links: Vector Addition, Addition of many vectorsWeb Link: Vector Addition AirplanesTwo Vector Addition Methods1) Geometric (or Graphical) Finding the resultant by drawing vectors head to tail:2) Adding by Vector Components A more precise method using trigonometryWe’ll discuss each method in turn……1) Geometric (Graphical) MethodABRA + B = RUse graph paper, a ruler, and a protractorto measure the length and angle of REx: Add these 3 vectors:a = 3m northb = 2m eastc = 1m southDoes the order matter? See Web Link: Order of