Agenda: Warm Up Presentations postponed until Tuesday Conversion Skills Packet

1. Warm Up Find the distance and displacement of a person walking from the green to red dot. AP PhysicsMonday 14.08.25Standards: Kinematics 1D & 2D: Big Idea 3Learning Objective: SWBAT perform a variety of conversions 10 • Agenda: • Warm Up • Presentations postponed until Tuesday • Conversion Skills Packet 8 6 y(m) 4 2 2 10 4 8 6 x(m) Homework Speed and Velocity Practice

2. Warm Up convert 40 nm->m AP PhysicsTuesday 14.08.26Standards: Kinematics 1D & 2D: Big Idea 3Learning Objective: SWBAT get an idea about how fast different different running activities are using metric. • Agenda: • Warm Up • Review Conversions CW • Constant Motion Lab Homework Finish Lab

3. AP PhysicsWednesday 13.08.27Standards: Kinematics 1D & 2D: Big Idea 3Learning Objective: SWBAT SWBAT get an idea about how fast different different running activities are using the metric System Warm Up 2x104+3x103+8x103/2x101 Homework Agenda Warm up Review HW Lab Outside

4. Warm Up If you were running at 12 m/s, how long would it take you to run a mile? AP PhysicsThursday 13.08.28Standards: Kinematics 1D & 2D: Big Idea 3RST.11-12.4 Meaning of symbols, key terms, technical jargonProblem SolversObjective: SWBAT analyze & graph the velocity of an object falling at a constant speed. Agenda • Warm Up • Review constant speed lab • Coffee Filter Lab Homework KAP#1

5. Why Graph? • Finding Mathematical Relationships • Predict future results with minimal testing What important information can be extracted from a graph? • slope of the graph • equation of the curve that best fits the data • The area underneath the curve between points of interest.

6. What is speed activity? Use a ruler, tumblebuggy, and a timer to collect speed data. We are trying to answer the question “What is speed? ” by collecting data and interpreting graphs. • First, write a procedure for your experiment. • Next, carry out that experiment with at least 5 trials. • Graph your data & find the equation of the best fit line. • Come up with a written and mathematical definition for speed.

7. Ruler Conversions Sample Conversion: 50 mm->m • 100 centimeters = 1 meter • 1000 millimeters = 1 meter In general, the prefix centi- means 1/100 In general, the prefix milli- means 1/1000 Convert the following 0.5 m -> cm 6. 25m-> mm 0.5 m-> mm 7. 4000 mm->m 5.0 cm-> m 8. 6x106 cm ->m 20.0mm->m 9. 3x10-2m-> mm 7 m-> cm 10. 8x10-5m->cm 11.* 100 cm ->mm

8. Speed Practice Homework • Find the speed of a car that moves 20 meters in 10 seconds. • Find the speed of a plane that moves 180 km in 2 hours. • Find the distance traveled of a rocket moving 4 kilometers per second for 4 minutes. • Find the time it takes for a car to travel 40 meters at 12m/s. • Find the distance traveled by a fly traveling at 7m/s in for 70 s. 1km=1000m 1 hr=60 min 1 min=60 sec

9. Create a drawing, a short video demonstration, a problem (with solution), or other presentable demonstration that illustrates the difference between distance & displacement OR speed and velocity Homework • SPEED is called scalar because it does not have direction. Speed can get faster or slower, but in order to go faster you do not need to go in a particular direction. In science we say speed only has MAGNITUDE. Speed can only increase or decrease, it only has size. • VELOCITY is called a vector because it does depend on which direction an object is moving. Velocity depends on speed and direction. We say in science it has a magnitude and a direction. • DISTANCE is how far you go. When you could distance, it doesn’t matter where you go as long as you keep going. Distance does not depend on the direction you are walking or moving. Distance is a scalar and only has a magnitude. • DISPLACEMENT – Think of the word displace. To be displaced is to be moved or taken away from a place. Displacement has a reference point or a starting point and it measures where you are based on the starting point. This means displacement is a vector. It has magnitude and direction. It is the straight line distance and direction an object is from its starting point. Present on MONDAY, It can be done in groups.

10. Math Diagnostic • 3x102 * 7x105 = (write answer in scientific notation) • 6.2x104/9x104= (write answer in scientific notation) • convert 10 mm -> m • convert 500 cm-> m • How many significant figures are in the number 06.0010 • Solve the following equation for r. F=Gm1m2/r2 • Solve the following equation: ½(20kg)(40m/s)2 • Find the horizontal component of a 4 unit long line starting at the origin at an angle of 30 degrees. • Find the vertical component of a 4 unit long line starting at the origin at an angle of 30 degree. • Find the dot product of two vectors that are 10 units and 4 units in length if the angle between them is 60 degrees. • Find the cross product of two vectors that are 10 units and 4 units in length if the angle between them is 60 degrees. • An object travels 10 meters north is 30 seconds. Find the speed and velocity.

11. The MKS SystemM(eter)K(ilogram)S(econd)S(ystème) I(nternationale)

12. The Fundamental Unitsmeter m lengthkilogram kg masssecond s timeampere A electric currentmole mol quantity of matterkelvin K temperaturecandela cd intensity of light

13. LENGTH The length measurements are based on: The distance a beam of light travels in 1/299792458 s

14. MASS Measures the quantity of matter Matter is anything that takes up space The Standard kilogram measurement is the mass of an actual Pt-Ir alloy cylinder kept in France

15. TIME Time is set and measured based on 9,192,631,700 oscillations of the radiation from a certain transition in a cesium atom

16. Derived Units(composed of multiple basic units)Area m2Volume m3Density kg/m3 or kgm-3Speed m/s or ms-1

17. Metric System Chart Note: Any metric system unit of measurement can be used in this way. If a question asks you for g (grams) , you would would replace every s and seconds with g and grams on this chart.

18. Chart of Metric System Prefixes Base unit symbols: K, m, L, A, g, s Wherever you see an underscore ( ___) insert the Symbol of the base units you will use in your problem. Example, one type of unit is meters. The symbol for meters is m. Everywhere you see an underscore, insert an m

19. 1 Step Conversion • 1 step conversion occur when you convert from a base unit to a unit with a prefix or vice versa. • Example. A. Convert 1000 m -> km • B. Convert 50 mm-> m • In order to do conversions we first set up a proportion and we use a technique called dimensional analysis to evaluate the proportion.

20. Dimensional Analysis • What is a dimension? • A dimension is just another name for fundamental or base quantities. • Example: Length, mass, and time are all dimensions. • By analyzing these dimension and performing math on these dimensions as if they were numbers, we can strengthen our problem solving abilities, and in particular we can do unit conversions very simply.

21. 1 step Conversion • Example. A. Convert 1000 m -> km Step 1: Step 2: • The question asks me to convert 1000m to km so how did I know to use the proportion 1km/1000m? • Dimensional Analysis. • If I want my units to to be kilometers then I need to set up a proportion so that meters completely cancel out of the problem and only kilometers are left on the numerator.

22. Example 2 B. Convert 50 mm-> m

23. 2 step conversions • In 2 step conversion you’re converting from a prefixed unit to another prefixed unit. Ex. Convert 6mg->ng • This is called a 2 step conversion because you need to convert into the base unit (g) before you convert to the final prefixed unit.

24. Example Convert 6mg -> ng

25. Conversion Practice • 100,000 kg -> g • 50,000 g-> Gg • 0.037 mK -> K • 57x103 Mm -> m • 3x102μm -> m • 30 cm-> mm • 20 mm->μm • 10 μm->nm • 50 kg -> ng • 200 nm-> Gm • 50cL->kL • 20ms->ks • 0.047 Ms->ks • 4x10-6 kg->mg

26. Scientific NotationPractice • Convert 0.0000024 into scientific notation. • Convert 0.0009291 into scientific notation. • Convert 42,000 into scientific notation. • Convert 7.2x10-6 into standard form. • Multiply 1.5x10-3*4x10-5 • Multiply 2x106*3x10-2 • Multiply 6x10-9*4x105 • Solve 3x102/1.5x101 • Solve 6x107/4x10-2 • Solve 5x10-2/2.5x102*1x101 11. Solve 4x103+3x103 12. Solve 7.2x10-4+2.1x10-4-3.4x10-4+1.1x10-4 • Solve 3.7x102+2.7x102-8.1x102 • Solve 4x104+4x103+4x102 • Solve 25+7x101-14.

27. Ruler Conversions Sample Conversion: 50 mm->m • 100 centimeters = 1 meter • 1000 millimeters = 1 meter In general, the prefix centi- means 1/100 In general, the prefix milli- means 1/1000 Convert the following 0.5 m -> cm 6. 25m-> mm 0.5 m-> mm 7. 4000 mm->m 5.0 cm-> m 8. 6x106 cm -> 20.0mm->m 9. 3x10-2m-> mm 7 m-> cm 10. 8x10-5m->cm 11.* 100 cm ->mm

28. KAP #1 • Study Significant Figures from your book on your own. • Answer the following questions: pg. 19 9,10,11,13,14 • Come on Tuesday ready to ask questions (We do not have time to spend a whole class on them, so when studying significant figures you should be able to answer the following questions if you’ve done a good job. • What are they? What does the book mean by a significant figure? • When are significant figures used? • What benefits do using significant figures give to scientists and science students? • How are they used? (How do you use them in problem solving?)