Welcome Course: AP Physics Room:207 Teacher:Mrs. LaBarbera Tel: ext Post session:Tuesday – Thursday in Room 207

Objectives Introduction of AP physics Lab safety Sign in lab safety attendance sheet Classical Mechanics Coordinate Systems Units of Measurement Changing Units Dimensional Analysis

Registering Mastering Physics (See instructions at mastering physics sign up info) Go to Register with the access code in the front of the access kit in your new text, or pay with a credit card if you bought a used book. WRITE DOWN YOUR NAME AND PASSWORD Log on to masteringphysics.com with your new name and password. The VC zip code is The Course ID: APPHYSICSLABARBERA2010

Introduction to AP course Hand out

Lab safety General guidelines 1.Conduct yourself in a responsible manner. 2.Perform only those experiments and activities for which you have received instruction and permission. 3.Be alert, notify the instructor immediately of any unsafe conditions you observe. 4.Work area must be kept clean.

5.Dress properly during a laboratory activity. Long hair should be tied back, jackets, ties, and other loose garments and jewelry should be removed. 6.When removing an electrical plug from its socket, grasp the plug, not the electrical cord. Hand must be completely dry before touching an electrical switch, plug, or outlet. 7.Report damaged electrical equipment immediately. Look for things such as frayed cords, exposed wires, and loose connections. Do not use damaged electrical equipment.

Homework – due Friday, 9/9 1.Read and sign the Lab Requirement Letter – be sure to include both your signature and your parent or guardian’s signature. 2.Read and sign the Student Safety Agreement – both your signature and your guardian’s signature. 3.Reading assignment: 1.1 – 1.6, answer reading questions 4.Questions: 1.2, 3, 9, 10, 19 – the solutions are on the school website. Homework – due Tuesday, 9/13 – 11:00 pm Mastering physics wk 1 Please sign in lab safety attendance sheet

Classical Mechanics Mechanics is a study of motion and its causes. We shall concern ourselves with the motion of a particle. This motion is described by giving its position as a function of time. Specific position & time → event Position (time) → velocity (time) → acceleration Ideal particle –Classical physics concept –Point like object / no size –Has mass Measurements of position, time and mass completely describe this ideal classical particle. We can ignore the charge, spin of elementary particles.

Position If a particle moves along a  straight line → 1-coordinate  curve/surface → 2-coordinate  Volume → 3-coordinate General description requires a coordinate system with an origin. –Fixed reference point, origin –A set of axes or directions –Instruction on labeling a point relative to origin, the directions of axes and the unit of axes. –The unit vector

Rectangular coordinates - Cartesian Simplest system, easiest to visualize. To describe point P, we use three coordinates: (x, y, z)

Spherical coordinate Nice system for motion on a spherical surface need 3 numbers to completely specify location: (r, Φ, θ) −r: distance between point to origin −Φ: angle between line OP and z: latitude = π/2 - Φ. −θ: angle in xy plane with x – longitude.

Time Time is absolute. The rate at which time elapse is independent of position and velocity. Absolute time + Euclidean geometry (some of angles in a plane = 180 o ) is the foundation for classical/Newtonian physics. Under these conditions, the Laws of motion and the law of universal gravitation can not be challenged. We now know that time is not absolute when v → c, or when gravity is very strong. Known as time dilation. We also know that Euclidean geometry is not always true (hyperbolic geometry and elliptical geometry). A new theory of special relativity and general relative by A. Einstein works under these conditions. Space/time curve. However, when v << c, and when gravity is not very strong, time dilation and non Euclidean geometry will not affect the Newtonian physics that we will study.

Unit of measurement Quantity/dimension being measured SI unit (symbol)British (derived) unit Length/[L]meter (m)Foot (ft) Time/[T]second (s)Second (s) Mass/[M]kilogram (kg)Slug Ele. Current/[ I ]ampere (A) Temperature[Θ]Kelvin (K) Amount of substance[N] Mole (mol) Luminous intensity[J]Candela (cd) International system of units (SI) consists of 7 base units. All other units can be expressed by combinations of these base units. The combined base units is called derived units

Physical Dimensions The dimension of a physical quantity specifies what sort of quantity it is—space, time, energy, etc. We find that the dimensions of all physical quantities can be expressed as combinations of a few fundamental dimensions: length [L], mass [M], time [T]. For example, –Energy: E = ML 2 /T 2 –Speed: V = L/T

The meter is defined as the distance that light travels in a vacuum in (1/299,792,458) of a second. d = c∙t (c = 299,792,458 m/s, exactly defined) Length [L] length depend on unit of time distance Speed of light, a constant time The furthest quasar: 2 x10 26 m Wavelength of visible light: m Radius of a proton: m

Time [T] One second is defined: Originally as 1/(60x60x24) of a mean solar day. It is not very precise since the earth’s rotation is by wind, tide, glacier, etc. Atomic standard: the time occupied by 9,192,631,770 vibrations of the light (of a specified wavelength) emitted by a Cesium-133 atom. Its accuracy is s, 1 s in 300,000 years! Life time of a proton: ~10 39 s Age of the universe: 5 x10 17 s Life time of most unstable particle ~ s

Mass [M] Standard: One kilogram is the mass of a Platinum- Iridium cylinder kept at the International Bureau of Weights and Measures in Paris. Not very accessible. To measure mass of atoms, we use atomic mass unit. –1 u = 1/12 (carbon 12) –1 u = x kg Known universe: ~10 53 kg elephant:5 x10 3 kg Electron 9x kg

Derived units Like derived dimensions, when we combine basic unit to describe a quantity, we call the combined unit a derived unit. Example: –Volume = L 3 (m 3 ) –Velocity = length / time = LT -1 (m/s) –Density = mass / volume = ML 3 (kg/m 3 )

Unit conversions The amount of a physical quantity remains the same, no matter what system of units is used to obtain a numerical measure of that quantity. For instance, we might measure the length of an (American) football field with a meter stick and a yard stick. We’d get two different numerical values, but obviously there is one field with one length. We’d say that. 100 yards = meters. In other words, Note: the units are a part of the measurement as important as the number. They must always be kept together.

Suppose we wish to convert 2 miles into meters. (2 miles = 3520 yards.) The units cancel or multiply just like common numerical factors. Since we wanted to cancel the yards in the numerator, the conversion factor was written with the yards in its denominator. Since each conversion factor equals 1, we can do as many conversions as we please—the physical measurement is unchanged, though the numerical value is changed. Chain – link – conversion

example Convert 80 km/hr to m/s. Given: 1 km = 1000 m; 1 hr = 3600 s m s 80 km hr x km 1000 m x 3600 s hr = 22 Units obey same rules as algebraic variables and numbers!!

Dimensional analysis We can check for error in an equation or expression by checking the dimensions. Quantities on the opposite sides of an equal sign must have the same dimensions. Quantities of different dimensions can be multiplied but not added together. For example, a proposed equation of motion, relating distance traveled (x) to the acceleration (a) and elapsed time (t). Dimensionally, this looks like At least, the equation is dimensionally correct; it may still be wrong on other grounds, of course. T2T2 L = L T2T2 = L

Another example d = v / t use dimensional analysis to check if the equation is correct. L = (L ∕ T ) ∕ T [L] = L ∕ T 2

Significant Figures (Digits) Instruments cannot perform measurements to arbitrary precision. A meter stick commonly has markings 1 millimeter (mm) apart, so distances shorter than that cannot be measured accurately with a meter stick. We report only significant digits—those whose values we feel sure are accurately measured. There are two basic rules: –(i) the last significant digit is the first uncertain digit –(ii) when multiply/divide numbers, the result has no more significant digits than the least precise of the original numbers. The exercises in the textbook assume there are 3 significant digits.

Addition and subtraction with measured values Measured values must have the same units before they are added or subtracted. The sum or difference is rounded to the same decimal place value as the least sensitive measurement. Example: what is the perimeter of a rectangle are 4.3 cm and 0.08 m? 0.25 m or 25 cm 4.3 cm 8 cm 4.3 cm 8 cm 24.6 cm

Scientific Notation and Significant Digits Scientific notation is simply a way of writing very large or very small numbers in a compact way. The uncertainty can be shown in scientific notation simply by the number of digits displayed in the mantissa 2 digits, the 5 is uncertain. 3 digits, the 0 is uncertain.

Examples 2 digits

SI prefixes SI prefixes are prefixes (such as k, m, c, G) combined with SI base units to form new units that are larger or smaller than the base units by a multiple or sub-multiple of 10. Example: km – where k is prefix, m is base unit for length. 1 km = 10 3 m = 1000 m, where 10 3 is in scientific notation using powers of 10

Some prefixes n10 -9 μ10 -6 m10 -3 c10 -2 k10 3

Convert the following 5 Tg ___________ kg 2 μm ___________ m 6 cg ___________ kg 7 nm ___________ m 4 Gg ___________ kg 5 x x x x x 10 6

Percent error Measurements made during laboratory work yield an experimental value Accepted value are the measurements determined by scientists and published in the reference table. The difference between and experimental value and the published accepted value is called the absolute error. The percent error of a measurement can be calculated by Percent error = accepted value X 100% experimental value – accepted value (absolute error)

example In an experiment, a student determines that the acceleration due to gravity is 9.98 m/s 2. determine the percent error. (the accepted value is 9.81 m/s 2 ) Percent error = 1.7% Percent error = accepted value X 100% experimental value – accepted value

Class work in note page, do not delete Class work

Unit conversion practice Do not delete. The practice is on the note page

Homework – due Friday, 9/16 Reading assignment: 1.7 – 1.9 Notes posted on VC website: Chapter 2: Mathematics - The Language of Science Questions: 1.32, 31, 38, 41, 55, 59, 68 – the solutions are on the school website. Homework – due Tuesday, 9/20 – 11:00 pm Mastering physics wk 2