AP Physics Tuesday 13.08.13 Standards: NA Objective: SWBAT solve equations. Agenda 1.Warm Up 2.Syllabus 3.Solving Equations Homework AP Physics Worksheet.

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Presentation transcript:

AP Physics Tuesday Standards: NA Objective: SWBAT solve equations. Agenda 1.Warm Up 2.Syllabus 3.Solving Equations Homework AP Physics Worksheet 1.a-h 2.a-l Warm Up Why are you taking AP Physics?

AP Physics Wednesday Standards: NA Objective: SWBAT convert from standard form to scientific notation and back. Agenda 1.Warm Up 2.Correct Homework 3.Conversion Refresher 4.Conversion Practice Homework AP Physics Worksheet 3, 4. a-n Warm Up Convert my height 5’’9’ into into meters. If you need to search for the conversion factor on the internet, go ahead.

AP Physics Thursday Standards: NA Objective: SWBAT convert from standard form to scientific notation and back. Agenda 1.Warm Up 2.Correct Homework 3.Extra Practice Equations & Conversions 4.Geometry & Trig Skills are pushed back to Friday. Homework Extra Practice Equations & Conversions Warm Up Solve for F ap. (ma=F ap -μmg+mgcosθ)

AP Physics Friday Standards: NA Objective: SWBAT convert from standard form to scientific notation and back. Agenda 1.Warm Up 2.Correct Homework 3.MKS System 4.Geometry & Trig Skills are pushed back to Friday. Homework Geometry & Trig Skills 5a-f, 6a-f, 7 a-h Warm Up

Principles for Solving Equations The following are guidelines to keep in mind when attempting to solve equations.

Your Goal: The Big Picture How do I isolate the variable on one side of the equation?

Techniques What you do to one side of the equation you must do to the other side. -7

Techniques 2 In more complicated equations isolate your variable step by step. 1. First make sure the term with the variable is by itself. 2. Next make sure the variable is by itself 3. Finally get rid of any exponent attached to the variable. 4. Optional: Lastly you might want to simplify or clean up the solution. -10z

The MKS System M(eter) K(ilogram) S(econd) S(ystème) I(nternationale)

The Fundamental Units metermlength kilogramkgmass second stime ampereAelectric current molemolquantity of matter kelvinKtemperature candelacdintensity of light

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

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

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

Derived Units (composed of multiple basic units) Aream 2 Volumem 3 Densitykg/m 3 or kgm -3 Speedm/s or ms -1

Metric System Chart Prefix-UnitSymbol How many are in a meter? Proportion used for conversion into 1 Proportion used for conversion into 2 Mega-secondsMs1Ms=10 6 s 1,000,000 s 1Ms ___1Ms__ 1,000,000 s Kilo-secondsks1ks=10 3 s (1ks=1000s) 1,000 s 1 ks ___1ks__ 1,000 s _____seconds_s Centi-secondscs10 2 cs=1s (100cs=1s) 100 cs 1s __1s__ 100 cs Milli-secondsms 10 3 ms=1s (1000ms=1s) 1,000 ms 1s __1s__ 1000 ms Micro-seconds ss10 6 s=1s 1,000,000  s 1s __1s__ 1,000,000 s Nano-secondsns10 9 ns=1s 1,000,000,000 ns 1s _1s__ 1,000,000,000ns

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

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.

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.

Back to the Example 1 1.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.

B. Convert 50 mm-> m Example 2

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.

Example Convert 6mg -> ng

Extra Conversion Practice 1.100,000 kg -> g 2.50,000 g-> Gg mK -> K 4.57x10 3 Mm -> m 5.3x10 2 μm -> m 6.30 cm-> mm 7.20 mm->μm 8.10 μm->nm 9.50 kg -> ng nm-> Gm 11.50cL->kL 12.20ms->ks Ms->ks 14.4x10 -6 kg->mg miles -> kilometers