PES Skill Sheets.book - Capital High School

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Name: Date: 7.1 Mechanical Advantage of Simple Machines We use simple machines to make tasks easier. While the output work of a simple machine can never be greater than the input work, a simple machine can multiply input forces OR multiply input distances (but never both at the same time). You can use this skill sheet to practice calculating mechanical advantage (MA) for two common simple machines: levers and ramps. The general formula for the mechanical advantage (MA) of levers: Or you can use the ratio of the input arm length to the output arm length: Most of the time, levers are used to multiply force to lift heavy objects. The general formula for the mechanical advantage (MA) of ramps: A ramp makes it possible to move a heavy load to a new height using less force (but over a longer distance). Example 1: A construction worker uses a board and log as a lever to lift a heavy rock. If the input arm is 3 meters long and the output arm is 0.75 meters long, what is the mechanical advantage of the lever? 3 meters MA = 4 0.75 meter = Example 2: Sometimes levers are used to multiply distance. For a broom, your upper hand is the fulcrum and your lower hand provides the input force: Notice the input arm is shorter than the output arm. The mechanical advantage of this broom is: 3 meter MA = = 0.25 0.75 meter A mechanical advantage less than one doesn’t mean a machine isn’t useful. It just means that instead of multiplying force, the machine multiplies distance. A broom doesn’t push the dust with as much force as you use to push the broom, but a small movement of your arm pushes the dust a large distance. o MA lever = F i (input force) 7.1 F (output force) L (length of input arm) i MA lever = L o (length of output arm) ramp length MA ramp = ramp height
Page 2 of 2 Example 3: A 500-newton cart is lifted to a height of 1 meter using a 10-meter long ramp. You can see that the worker only has to use 50 newtons of force to pull the cart. You can figure the mechanical advantage in either of these two ways: Or using the standard formula for mechanical advantage: Lever problems 1. A lever used to lift a heavy box has an input arm of 4 meters and an output arm of 0.8 meters. What is the mechanical advantage of the lever? 2. What is the mechanical advantage of a lever that has an input arm of 3 meters and an output arm of 2 meters? 3. A lever with an input arm of 2 meters has a mechanical advantage of 4. What is the output arm’s length? 4. A lever with an output arm of 0.8 meter has a mechanical advantage of 6. What is the length of the input arm? 5. A rake is held so that its input arm is 0.4 meters and its output arm is 1.0 meters. What is the mechanical advantage of the rake? 6. A broom with an input arm length of 0.4 meters has a mechanical advantage of 0.5. What is the length of the output arm? 7. A child’s toy rake is held so that its output arm is 0.75 meters. If the mechanical advantage is 0.33, what is the input arm length? Ramp problems ramp length 10 meters MA ramp = = = 10 ramp height 10 meter output force 500 newtons MA = = = 10 input force 50 newtons 8. A 5-meter ramp lifts objects to a height of 0.75 meters. What is the mechanical advantage of the ramp? 9. A 10-meter long ramp has a mechanical advantage of 5. What is the height of the ramp? 10. A ramp with a mechanical advantage of 8 lifts objects to a height of 1.5 meters. How long is the ramp? 11. A child makes a ramp to push his toy dump truck up to his sandbox. If he uses 5 newtons of force to push the 12-newton truck up the ramp, what is the mechanical advantage of his ramp? 12. A ramp with a mechanical advantage of 6 is used to move a 36-newton load. What input force is needed to push the load up the ramp? 13. Gina wheels her wheelchair up a ramp using a force of 80 newtons. If the ramp has a mechanical advantage of 7, what is the output force (in newtons)? 14. Challenge! A mover uses a ramp to pull a 1000-newton cart up to the floor of his truck (0.8 meters high). If it takes a force of 200 newtons to pull the cart, what is the length of the ramp? 7.1
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Chapter and Section Chapter 1: Meas
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Chapter and Section Chapter 5: Forc
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Chapter and Section Chapter 9: Heat
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Chapter and Section Chapter 14: Cha
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Chapter and Section Chapter 18: Ear
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Chapter and Section Chapter 24: Wav
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Name: Date: 1.1 Lab Safety What can
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Page 3 of 6 Safety quiz 1. Draw a d
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Page 5 of 6 c. You suddenly you beg
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Name: Date: 1.1 Using Your Textbook
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Page 2 of 3 The following prefixes
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Name: Date: 1.1 Scientific Notation
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Page 3 of 3 3. Write the numbers in
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Page 2 of 4 Example 1: Measuring ob
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Page 4 of 4 4. . Prefix Symbol Mult
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Name: Date: 1.2 Reading Strategies
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Name: Date: 1.2 Stopwatch Math What
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Name: Date: 1.2 Understanding Light
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Name: Date: 1.2 Indirect Measuremen
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Name: Date: 1.3 Dimensional Analysi
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Name: Date: Skill Builder Fractions
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Page 3 of 4 Solving fraction proble
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Name: Date: 1.3 Significant Digits
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Page 3 of 4 Follow these steps for
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Name: Date: 1.3 Study Notes This sk
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Name: Date: 1.3 Science Vocabulary
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Page 3 of 3 Using the table of pref
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Page 2 of 2 5. Earth’s moon is co
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Page 2 of 3 When precise conversion
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Name: Date: 1.4 Creating Scatterplo
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Page 3 of 3 g. What is the position
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Page 2 of 2 1.4 1. Given the variab
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Page 2 of 3 Step 3: Look at the ran
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Name: Date: 1.4 Recognizing Pattern
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Page 3 of 3 Answer the following qu
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Page 2 of 2 4. Measurements: List a
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Page 2 of 2 2. Your teacher shows y
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Page 2 of 4 Recording valid observa
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Page 4 of 4 b. How did the student
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Page 2 of 3 Name: Lucy O. Date: Jan
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Name: Date: 2.2 Using Computer Spre
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Page 3 of 3 5. The following data i
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Page 2 of 2 2. John notices that hi
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Name: Date: 3.1 Latitude and Longit
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Page 3 of 4 Use an atlas or globe t
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Name: Date: 3.1 Map Scales Mapmaker
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Page 3 of 3 f. Point Q to Point M g
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Page 2 of 5 It’s time to go! 3.1
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Page 4 of 5 37. Now you will head t
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Name: Date: 4.1 Vectors on a Map Yo
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Page 2 of 3 1. Draw a profile map o
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Name: Date: 3.3 Bathymetric Maps Im
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Page 1 of 2 3.3 Tanya Atwater Tanya
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Name: Date: 4.1 Solving Equations w
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Page 3 of 4 Use the formula V = l
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Name: Date: 4.1 Problem Solving Box
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Page 2 of 3 In problems 6 and 7, yo
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Name: Date: 4.1 Percent Error When
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Page 3 of 3 1. The lab group conduc
Page 119 and 120: Page 2 of 3 1. A bicyclist travels
Page 121 and 122: Name: Date: 4.1 Velocity Speed and
Page 123 and 124: Name: Date: 4.2 Calculating Slope f
Page 125 and 126: Name: Date: 4.2 Analyzing Graphs of
Page 127 and 128: Page 3 of 4 1. For each position-ti
Page 129 and 130: Name: Date: 4.2 Analyzing Graphs of
Page 131 and 132: Name: Date: 4.3 Acceleration Accele
Page 133 and 134: Name: Date: 4.3 Acceleration and Sp
Page 135 and 136: Page 3 of 3 3. Graph 3: 4. Find acc
Page 137 and 138: Page 2 of 3 Example 1: How fast wil
Page 139 and 140: Name: Date: 5.1 Ratios and Proporti
Page 141 and 142: Name: Date: 5.1 Internet Research S
Page 143 and 144: Name: Date: 5.1 Preparing a Bibliog
Page 145 and 146: Name: Date: 5.1 Mass vs. Weight Wha
Page 147 and 148: Page 2 of 2 1. A physical science t
Page 149 and 150: Page 2 of 2 How much does it weigh
Page 151 and 152: Page 2 of 2 Answer the following pr
Page 153 and 154: Name: Date: 5.3 Equilibrium When al
Page 155 and 156: Name: Date: 6.1 Net Force and Newto
Page 157 and 158: Page 2 of 2 Reading reflection 1. I
Page 159 and 160: Name: Date: 6.3 Applying Newton’s
Page 161 and 162: Name: Date: 6.3 Momentum Conservati
Page 163 and 164: Name: Date: 6.3 Collisions and Cons
Page 165 and 166: Name: Date: 6.3 Rate of Change of M
Page 167 and 168: Page 3 of 3 6. A 50.-g (0.050-kg) e
Page 169: Page 2 of 2 1. A machine uses an in
Page 173 and 174: Page 2 of 2 7. You pull your sled t
Page 175 and 176: Page 2 of 2 The relationship betwee
Page 177 and 178: Page 2 of 2 6. Use the gear ratio f
Page 179 and 180: Page 2 of 2 The three classes of le
Page 181 and 182: Page 2 of 2 3. Now, calculate the g
Page 183 and 184: Page 2 of 2 To do this calculation,
Page 185 and 186: Name: Date: 7.2 Energy Transformati
Page 187 and 188: Name: Date: 7.2 Conservation of Ene
Page 189 and 190: Page 2 of 2 Reading reflection 1. W
Page 191 and 192: Name: Date: 7.3 Power In science, w
Page 193 and 194: Name: Date: 7.3 Power in Flowing En
Page 195 and 196: Name: Date: 7.3 Efficiency and Ener
Page 197 and 198: Page 2 of 2 Reading the temperature
Page 199 and 200: Page 2 of 4 1. For each of the prob
Page 201 and 202: Page 4 of 4 1. Surface temperatures
Page 203 and 204: Page 2 of 2 The graph below shows a
Page 205 and 206: Name: Date: 9.1 Using the Heat Equa
Page 207 and 208: Name: Date: 10.1 Measuring Mass wit
Page 209 and 210: Page 3 of 3 Reading the balance cor
Page 211 and 212: Page 2 of 2 d. Explain how the disp
Page 213 and 214: Page 2 of 3 Calculating volume of a
Page 215 and 216: Name: Date: 10.1 Density The densit
Page 217 and 218: Name: Date: 10.3 Pressure in Fluids
Page 219 and 220: Name: Date: 10.3 Boyle’s Law The
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Name: Date: 10.4 Charles’s Law Ch
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Name: Date: 10.4 Archimedes 10.4 Ar
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Name: Date: 10.4 Narcís Monturiol
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Name: Date: 10.4 Archimedes’ Prin
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Name: Date: 11.1 Layers of the Atmo
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Page 2 of 2 Reading reflection 1. H
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Page 2 of 3 Using temperature data
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Page 1 of 2 11.3 Joanne Simpson 11.
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Name: Date: 11.3 Weather Maps You h
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Name: Date: 11.3 Tracking a Hurrica
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Page 3 of 4 Hurricane Andrew crosse
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Name: Date: 12.1 Structure of the A
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Name: Date: 12.1 Atoms and Isotopes
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Name: Date: 12.1 Ernest Rutherford
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Name: Date: 12.2 Electrons and Ener
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Page 2 of 2 Periodic Table Groups T
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Page 2 of 2 Using dot diagrams to r
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Page 2 of 2 13.2 Important note: If
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Page 2 of 2 Example 2: Aluminum and
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Page 2 of 2 13.2 Predict the name o
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Page 2 of 2 Using the information i
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Page 2 of 3 Conservation of atoms T
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Name: Date: 14.1 The Avogadro Numbe
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Page 3 of 4 Substance Elements in s
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Name: Date: 14.1 Formula Mass A che
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Name: Date: 14.2 Classifying Reacti
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Name: Date: 14.2 Predicting Chemica
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Name: Date: 14.2 Percent Yield You
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Name: Date: 14.4 Lise Meitner Lise
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Name: Date: 14.4 Marie and Pierre C
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Page 3 of 3 Reading reflection 1. W
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Page 2 of 2 Reading reflection 1. R
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Page 2 of 2 Reading reflection 1. U
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Page 2 of 2 1. The decay series for
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Page 2 of 2 Reading reflection 1. D
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. Page 2 of 3 i. Switches 2, 3, and
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Name: Date: 16.1 Benjamin Franklin
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Name: Date: 16.2 Using an Electric
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Page 3 of 4 Build a series circuit
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Name: Date: 16.3 Voltage, Current,
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Page 3 of 3 Now you will have the o
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Page 2 of 2 7. How much voltage wou
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Page 2 of 2 5. Use the series circu
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Page 2 of 2 In part (d) of problems
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Page 2 of 2 Reading reflection 1. N
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Page 2 of 2 7. The directions—nor
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Page 2 of 2 6. Repeat step 5 to for
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Page 2 of 2 A transformer steps dow
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Page 2 of 2 4. Calculate the power
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Page 2 of 4 Determining the relativ
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Page 4 of 4 Extension—Creating cl
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Page 2 of 2 Reading reflection 1. N
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Name: Date: 19.1 Earth’s Interior
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Page 2 of 2 Reading reflection 1. L
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Page 2 of 2 Reading reflection 1. E
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Name: Date: 19.4 Continental United
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Page 3 of 4 When a mountain is form
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Name: Date: 20.1 Averaging The most
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Page 2 of 5 Locating the epicenter
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Page 4 of 5 20.1 For each of the pr
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Name: Date: 20.2 Volcano Parts 20.2
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Name: Date: 21.2 Calculating Concen
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Name: Date: 21.2 Solubility In this
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Page 3 of 3 The influence of temper
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Page 2 of 3 Work through these exam
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Name: Date: 21.3 Calculating pH The
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Name: Date: 22.1 Groundwater and We
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Page 3 of 3 Testing the model: 1. W
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Name: Date: 24.1 Period and Frequen
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Page 2 of 2 2. Use the grids below
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Page 2 of 2 2. Use the grids below
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Page 2 of 3 x-axis (blocks) Height
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Name: Date: 24.3 Decibel Scale The
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Page 2 of 2 a. ____________________
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Page 2 of 2 2. Two students want to
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Name: Date: 24.3 Palm Pipes Project
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Page 3 of 3 6. Challenge: You can f
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Page 2 of 2 Answer the following pr
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Page 2 of 2 4. You see a chair that
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Page 2 of 2 a. ____________________
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Name: Date: 25.3 Using Ray Diagrams
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Page 2 of 2 2. Light strikes a mirr
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Page 2 of 2 Which way does the ligh
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Page 2 of 2 25.3 1. A lens has a fo
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Name: Date: 26.1 Gravity Problems I
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Name: Date: 26.1 Universal Gravitat
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Page 1 of 2 26.1 Nicolaus Copernicu
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Page 1 of 2 26.1 Galileo Galilei Ga
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Page 1 of 2 26.1 Johannes Kepler 26
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Name: Date: 26.1 Measuring the Moon
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Page 3 of 3 Semi-Circle Card: 26.1
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Page 2 of 2 Reading reflection 1. B
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Page 2 of 2 Part 2: Provisions for
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Page 1 of 2 27.1 Arthur Walker 27.1
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Name: Date: 27.2 The Inverse Square
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Page 2 of 3 1. Fill in the missing
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Name: Date: 28.1 Understanding Ligh
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Name: Date: 28.1 Parsecs You have a
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Page 1 of 2 28.1 Edwin Hubble Edwin
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Name: Date: 28.2 Light Intensity Pr
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Page 2 of 2 If we know the brightne
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Page 2 of 2 Solving Doppler Shift P
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13. A decimeter is 100 times larger
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Skill Sheet 1.3: Significant Digits
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7. Yes, there is a relationship bet
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6. The slope is the same (2.0) unti
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13. S Sh—Sand and shells on the b
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10. 410 miles 11. 6.6 miles -------
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Skill Sheet 4.2: Analyzing Graphs o
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Skill Sheet 5.1: Mass, Weight, and
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Skill Sheet 6.3: Applying Newton’
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Skill Sheet 7.1: Mechanical Advanta
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8. The middle gear turns left. The
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Skill Sheet 7.3: Power in Flowing E
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Skill Sheet 10.1: Calculating volum
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3. Answers are: a. 100 cm 3 b. 13 N
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Skill Sheet 11.3: Weather Maps Samp
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a. b. c. d. e f. Skill Sheet 12.2:
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Skill Sheet 14.1: Chemical Equation
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must be blocking their insulin’s
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8. The current is approximately the
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7. Students can find information ab
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Skill Sheet 17.4: Electrical Power
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Skill Sheet 19.1: Charles Richter 1
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Practice 2: 1. First problem is don
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Skill Sheet 21.3: Calculating pH 1.
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Question 8 (con’t) 9. The new wav
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Skill Sheet 25.2: The Human Eye a.
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Skill Sheet 26.1: Nicolaus Copernic
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Skill Sheet 27.1: Arthur Walker 1.
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PES Skill Sheets.book - Capital High School

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