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My Motivational Speech Focus on learning, not on grades. Learning brings success, and life-long learning brings life-long success. If I offered to hire you for one month (30 days straight!) and offered to pay you $1,000,000 or 1 penny on the first day, but double your wages each day, which would you accept? If you take the penny, you make over 5 million dollars on the 30th day (over 10 million for the month) It’s how you grow that’s important, not how much you start with!
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Chapter 01 Measurements
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Units For us to communicate “how much” something is, we must use units. What if I were to offer a job to you that pays an annual salary of 60,000 per year? Would you accept the job? Three of the fundamental units used in the SI system (SI is the most common system of units used in science) –unit of mass, kilogram (kg) –unit of distance, meter (m) –unit of time, second (s)
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Unit Prefixes prefixmeaningpower of 10 microone-millionth10 -6 1/1,000,000 millione-thousandth10 -3 1/1000 centione-hundredth10 -2 1/100 kiloone thousand10 3 1000 megaone million10 6 1,000,000 gigaone billion10 9 1,000,000,000 teraone trillion10 12 1,000,000,000,000
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Scientific Notation There is an easier way to express numbers so that we don’t have to count all those digits and commas. 9850 kg = 9.85 x 10 3 kg = 9.85 x 10 6 g 299,792, 458 m/s = 2.99792458 x 10 8 m/s 384,403 km = 3.84403 x 10 5 km = 3.84403 x 10 8 m The mass of the earth is 5.97 x 10 24 kg. Do you really want to write that number without using scientific notation?
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Poll The width of a DNA molecule is about 0.0000000002 m. In scientific notation, this is 1.2 x 10 -8 m 2.2 x 10 8 m 3.2 x 10 -10 m 4.2 x 10 10 m 5.None of the above. Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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Poll Earth’s equatorial radius is 6378 km. What is this number written in scientific notation? 1.6.378 x 10 1 m 2.6.378 x 10 -3 m 3.6.378 x 10 2 m 4.6.378 x 10 3 m 5.None of the above Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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Unit Conversion Write your conversion factor as a ratio equal to 1. Multiply the quantity by 1 (the conversion factor) so that units cancel as needed. Multiply by 1 as many times as needed.
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Poll A football field is 100 yd long. What is its length in meters? 1.100 m 2.109 m 3.9 m 4.82 m 5.91 m Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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Poll My office has a volume of 1000 ft 3. What is its volume in m 3 ? 1.394 ft 3 2.305 m 3 3.0.3 m 3 4.28 m 3 5.None of the above. Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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Poll Suppose that you burn 280 calories of energy while working out for 20 minutes on an elliptical machine in the gym. How many joules of energy did you burn? 1.1170 J 2.67 J 3.280 J 4.5600 J 5.None of the above Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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Poll By measuring a person’s density, one can calculate his % body fat. If a person has a density of 1.05 g/cm 3, what is his density in kg/m 3 ? 1.1.05 x 10 3 kg/m 3 2.1.05 x 10 6 kg/m 3 3.1.05 x 10 2 kg/m 3 4.1.05 x 10 4 kg/m 3 5.1.05 x 10 9 kg/m 3 Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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Proportionality Sometimes we want to know how one variable depends on another variable. For example, for a circle so doubling the radius increases the circumference by a factor of 2. When one variable is directly proportional to another variable, we write
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Poll The volume of a cylinder is V = πR 2 h. If you double the radius of the cylinder, how much more volume will it have? 1.It’ll have the same volume. 2.2 times more volume. 3.4 times more volume 4.8 times more volume 5.Half as much volume. Chapter 1 Measurement Matter & Interactions PHY 221 – Dr. Aaron Titus
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