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Physics 131, Chapter 1 This class is about classical objects – Bigger than an electron – Smaller than a black hole – Objects you can see/hear/manipulate No quantum mechanics, no string theory No calculus You will need algebra every hour of every day, and trig nearly that often.
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Units We will use Scientific International (SI) units The more you use these metric units, the more you will like them. Study the prefixes in Table 1-4. They are taught in grade 7 in Greece. Memorize “centimeter” (cm = 10 -2 m) and “liter” (L = 10 3 cm 3 = 10 -6 m 3 )
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Units The period of a simple pendulum is defined as the time necessary for one complete oscillation. The period is given by T = 2 (l/g) 1/2 Where l is the length of the pendulum and g is the acceleration of gravity, in units of length divided by time squared. ? Show that this equation is dimensionally consistent. ?
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Cost of Gas in Greece What’s the cost of gas in Greece? Need – Euros per liter – Liters per gallon – Cost of Euros in dollars
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Significant Figures Doubtful Digits Given 2 digits, don’t answer with 5! 1. x 10 -3 one sigfig 1.0 x 10 -3 two sigfigs 1 => 1.00000000 See national debt. Identify doubtful digits!national debt Odds of perfect NCAA Men’s Basketball bracket: 1 in 9, 223, 372, 036, 854, 775, 808. Identify any doubtful digits. Explain.
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Body Mass Index (BMI), Units BMI is defined as wt(kg)/[ht(m)] 2 But we need BMI is units of pounds and inches BMI is defined as A wt(pounds)/[ht(inches)] 2 Find “A” BMI OK 30 UK “keep your waist circumference to less than half your height.”
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Is your answer reasonable? Given: 250 x 10 6 packages of French Fries ? End to end, how long? Estimations can be valuable in deciding if your answer is “in the ballpark.”
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Sigfigs – block of gold Gold bar L = 5.62 cm W = 6.35 cm H = 2.78 cm Don’t throw away any digits until the end. Let your calculator do the work. Do the whole calculation as one operation.
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Too many sigfigs? Ear thermometer Precise to 0.1 o F Accurate to 0.5 o F
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Scalars and Vectors A scalar has a numerical value A vector has both a numerical value and a direction. Think of an arrow. We’ll use “speed” as a scalar and “velocity” as a vector for this course.
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Chapter 2 Motion in one dimension – straight line Distance – a scalar, has magnitude Displacement – a vector – From its beginning to its end – Has a magnitude – Has a direction – Expressed as a vector a
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Velocity Average speed – total distance / total time. Average velocity – average speed in a direction
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Average velocity example Home to top of hill = 10.0 km Pedaled up at average sped of 5.00 km/hr. Q1. average speed? Q2. average velocity? Q3. what speed down to average 10.0 km/hr for the trip ?
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Cross Country Car Race Two cars travel in the same direction along a straight highway, one at a constant speed of 55 km/hr and the other at 70 km/hr. (a) Assuming that they start at the same point, how much sooner does the faster car arrive at a destination 10 km away? (b) How far must the faster car travel before it has a 15-minute lead on the slower car?
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Average Acceleration A car traveling in a straight line has a velocity of +5.0 m/s at some instant. After 4.0 s, its velocity is +8.0 m/s. What is the car’s average acceleration during the 4.0-s time interval?
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Section 2.5 Constant Acceleration !!! We only deal with constant acceleration in this course. !!! 2-7 v = v o + at 2-8 x = x o + v av t 2-9 v av = ½ (v o + v) 2-10 x = x o + ½ (v o + v) t 2-11 x = x o + v o t + ½ a t 2 2-12 v 2 = v o 2 + 2a (x – x o ) = v o 2 + 2a ( x)
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Drag Racer Assume: constant acceleration Goes quarter-mile (402.3 m) in 5.0 seconds What average acceleration?
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Steam Catapult on Aircraft Carrier Given: 175 mi/hr ( 78.22 m/s) in 2.5 s a)Find average acceleration b)Find distance traveled on deck
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Parachute Assume: before parachute opens, descending at -5 m/s Assume: after parachute opens, descending at -1 m/s Assume t = 1 s ? Acceleration during that exciting second
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Superball Given: 50.0 g superball Given: thrown toward brick wall at 25.0 m/s Given rebounds at 22.0 m/s from the wall Ball in contact with wall for 3.50 ms ? Average acceleration ?
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Lab 1 Learn to use the motion sensor Learn to use the Smart Tool Learn to use the Slope Tool Lab 1 is designed as your “how to” lab Bookbags under tables, not in walkways! May start at 1:00 p.m., must start by 1:15 p.m.
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Lab 1 info The act of “printing” creates the pdf file on the computer “desktop” which you will e-mail to the instructor. gkeller@unca.edu I mark you “present” for a lab when I get your pdf file. Check with me as you leave the lab to be sure you sent it and I received it!
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