Full class meets 2 times per week in FL2-208 MW 5:30–6:50 PM ▪ Lectures ▪ PowerPoint presentations ▪ Lecture materials will be made available on the web ▪ Work out example problems and questions ▪ Demonstrations Laboratory section meets twice a week following lecture MW 7:00–8:20 PM: FL2-208 ▪ Opportunity for discussions on course material, exam prep, etc. Your Fellow Students! Encouraged to work together on homework, exercises (but not on exams!) Tutoring: Tutoring center located in Aspen Hall room FL1108 or the Reading, Writing, and Math Center at Cypress Hall FL2-239 Instructor! Office in FL2-208, office hours F 4:00 PM – 5:00 PM, or by appointment mondays@flc.losrios.edu Web: flc.losrios.edu/~mondays Lecture presentations, updates, HW assignments/solutions Text Physics, Sixth Edition, Giancoli Explore the approach that physics brings to bear on the world around us 1. Scientific Method Quantitative Models Reductionism Appreciate the influence physics has on us all 2. 3. Begin to see physics in the world around you Develop your natural intuition, stimulate curiosity Think into the unknown (ooh that’s scary!) Understand basic laws of physics Newton’s laws of motion, gravitation Concepts of mass, force, acceleration, energy, momentum, power, etc. Fluid mechanics, mechanical waves (including sound), and thermodynamics. Science is as much about questions as answers. You may have questions about: ▪ Something you’ve always wondered about ▪ Something you recently noticed ▪ Something that class prompted you to think about Goal is to increase your awareness, observational skills, analytical skills ▪ We’re immersed in physics: easy to ignore, but also easy to see! ▪ You’ll begin to think more deeply before shoving problem aside ▪ Allow your natural curiosity to come alive Attend lectures and laboratory section Participate! If it doesn’t make sense, ask! Everyone learns that way. Don’t be bashful about answering questions posed. Do the work: It’s the only way this stuff will really sink in exams become easier Explore, think, ask, speculate, admire, enjoy! Physics can be fun • No one who came more than 80% of time did very poorly • Few who came infrequently got more than a low B An attempt to rationalize the observed Universe in terms of irreducible basic constituents or simplest form, interacting via basic forces. Reductionism! An evolving set of (sometimes contradictory!) organizing principles, theories, that are subjected to experimental tests. This has been going on for a long time.... with considerable success Attempt to find unifying principles and properties e.g., gravitation: Kepler’s laws of planetary motion Falling apples Universal Gravitation “Unification” of forces Physics is always on the move theories that long stood up to experiment are shot down But usually old theory is good enough to describe all experiments predating the new trouble-making experiment otherwise it would never have been adopted as a theory Ever higher precision pushes incomplete theories to their breaking points Result is enhanced understanding deeper appreciation/insight Engineering Biology Geology Chemistry Astronomy Physical Reality Abstraction Our Universe First Up – Review Next Lectures – Kinematics Assignments: Check out course web page: ▪ flc.losrios.edu/~mondays Reading: ▪ Giancoli, Chapter 1 Units Any measurement or quantitative statement requires a standard to compare with to determine its quantity ▪ If I go a speed of 30, how fast am I going? ▪ Mi/hr. km/hr, ft/sec Units help us to quantify against a known standard Basis of testing theories in science Need to have consistent systems of units for the measurements Uncertainties are inherent Need rules for dealing with the uncertainties Standardized systems agreed upon by some authority, usually a governmental body SI -- Systéme International agreed to in 1960 by an international committee main system used in this course also called mks for the first letters in the units of the fundamental quantities cgs -- Gaussian system named for the first letters of the units it uses for fundamental quantities US Customary everyday units (ft, etc.) often uses weight, in pounds, instead of mass as a fundamental quantity Three basic quantitative measurements Length Mass Time All units can be reduced to these three units! Units SI -- meter, m cgs -- centimeter, cm US Customary -- foot, ft Defined in terms of a meter -- the distance traveled by light in a vacuum during a given time (1/299 792 458 s) Units SI -- kilogram, kg cgs -- gram, g USC -- slug, slug Defined in terms of kilogram, based on a specific Pt-Ir cylinder kept at the International Bureau of Standards Units seconds, s in all three systems Defined in terms of the oscillation of radiation from a cesium atom (9 192 631 700 times frequency of light emitted) Dimension denotes the physical nature of a quantity Technique to check the correctness of an equation Dimensions (length, mass, time, combinations) can be treated as algebraic quantities add, subtract, multiply, divide quantities added/subtracted only if have same units Both sides of equation must have the same dimensions Dimensions for commonly used quantities Length Area Volume Velocity (speed) Acceleration L L2 L3 L/T L/T2 m (SI) m2 (SI) m3 (SI) m/s (SI) m/s2 (SI) Example of dimensional analysis distance = velocity · time L = (L/T) · T When units are not consistent, you may need to convert to appropriate ones Units can be treated like algebraic quantities that can cancel each other out 1 mile = 1609 m = 1.609 km 1m = 39.37 in = 3.281 ft 1 ft = 0.3048 m = 30.48 cm 1 in = 0.0254 m = 2.54 cm Example 2. Trip to Canada: Legal freeway speed limit in Canada is 100 km/h. What is it in miles/h? 100 km km 1 mile miles 100 62 h h 1.609 km h Prefixes correspond to powers of 10 Each prefix has a specific name/abbreviation Power Prefix Abbrev. 1015 109 106 103 10-2 10-3 10-6 10-9 peta giga mega kilo centi milli micro nano P G M k P m m n Distance from Earth to nearest star Mean radius of Earth Length of a housefly Size of living cells Size of an atom 40 Pm 6 Mm 5 mm 10 mm 0.1 nm Example: An aspirin tablet contains 325 mg of acetylsalicylic acid. Express this mass in grams. Given: m = 325 mg Find: m (grams)=? Solution: Recall that prefix “milli” implies 10-3, so There is uncertainty in every measurement, this uncertainty carries over through the calculations need a technique to account for this uncertainty We will use rules for significant figures to approximate the uncertainty in results of calculations A significant figure is one that is reliably known All non-zero digits are significant Zeros are significant when between other non-zero digits after the decimal point and another significant figure can be clarified by using scientific notation 17400 1.74 10 4 3 significant figures 17400. 1.7400 10 4 5 significant figures 17400.0 1.74000 10 4 6 significant figures Accuracy -- number of significant figures Example: meter stick: 0.1 cm When multiplying or dividing, round the result to the same accuracy as the least accurate measurement 2 significant figures Example: rectangular plate: 4.5 cm by 7.3 cm area: 32.85 cm2 33 cm2 When adding or subtracting, round the result to the smallest number of decimal places of any term in the sum Example: 135 m + 6.213 m = 141 m Approximation based on a number of assumptions may need to modify assumptions if more precise results are needed Question: McDonald’s sells about 250 million packages of fries every year. Placed end-to-end, how far would the fries reach? Solution: There are approximately 30 fries/package, thus: (30 fries/package)(250 . 106 packages)(3 in./fry) ~ 2 . 1010 in ~ 5 . 108 m, which is greater then Earth-Moon distance (4 . 108 m)! Order of magnitude is the power of 10 that applies Example: John has 3 apples, Jane has 5 apples. Their numbers of apples are “of the same order of magnitude” opposite side sin hypotenuse adjacent side cos sin hypotenuse opposite side tan adjacent side Pythagorean Theorem Known: angle and one side Find: another side Key: tangent is defined via two sides! Fig. 1.7, p.14 Slide 13 height of building , dist . height dist . tan (tan 39.0 )( 46.0 m) 37.3 m tan Used to describe the position of a point in space Coordinate system (frame) consists of a fixed reference point called the origin specific axes with scales and labels instructions on how to label a point relative to the origin and the axes Cartesian Plane polar Spherical Cylindrical also called rectangular coordinate system x- and y- axes points are labeled (x,y) origin and reference line are noted point is distance r from the origin in the direction of angle , ccw from reference line points are labeled (r,) Looking at the figure, we can see that cos x r sin y r leading to the relationship x r cos y r sin This is how you would change polar coordinates to rectangular coordinates. Looking at the figure, we can also see that r x y 2 2 2 tan tan 1 y x y x This is how you would change rectangular coordinates to polar coordinates. Find the rectangular coordinates of the point P whose polar coordinates are (6, 2p/3). Find the rectangular coordinates of the point P whose polar coordinates are (6, 2p/3). Since r = 6 and = 2p/3, we have x 6 cos( 23p ) y 6 sin( 23p ) x 6( ) y 6( 23 ) x 3 y3 3 1 2