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Introduction to Physics And the Metric System
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Introduction to Physics Physics is a natural science. Examines nature. Seeks natural explanations. Concerned with mass, charge, energy, motion, force, etc. Seeks to understand how the universe behaves.
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Introduction to Physics Syllabus Calendar Classroom Policies Lab Safety Class Website “Textbooks”
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The Metric System Based on powers of 10. 10 9 = 1 billion 10 6 = 1 million 10 3 = 1 thousand 10 2 = 1 hundred 10 -2 = 1 / 100 10 -3 = 1 / 1000 10 -6 = 1 / 1 000 000 10 -9 = 1 / 1 000 000 000
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Powers of Ten 10 3 seems almost as large as 10 4. It’s NOT! 10 4 is 10 times larger than 10 3. Be careful when considering large numbers.
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mks vs cgs mks = meter-kilogram-second Length meas. in meters. Mass meas. in kilograms. Time meas. in seconds. We’ll use this set of units most frequently. cgs = centimeter-gram-second Length meas. in centimeters. Mass meas. in grams.
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Prefixes Giga (G) x 10 9 Mega (M) x 10 6 kilo (k) x 10 3 centi (c) x 10 -2 milli (m) x 10 -3 micro ( ) x 10 -6 nano (n) x 10 -9
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Understanding Metric Scale The MegaPenny Project
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Significant Figures Important in reporting answers accurately and precisely. A fig. is sig. if it is known or estimated.
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Rule 1: All non-zero figs. are sig. 123 has 3 SF. 1.23 also has 3 SF. Rule 2: “Sandwich” zeroes are sig. 103 has 3 SF. 2.002 has 4 SF.
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Significant Figures Rule 3: Trailing zeroes are sig. IF the value contains a decimal. 100 has 1 SF. 10.0 has 3 SF. 100. has 3 SF. 2020 has 3 SF. 202.0 has 4 SF.
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Significant Figures Rule 4: Leading zeroes are NEVER sig. 0.0020 has 2 SF. 0.0154 has 3 SF. 0.0101 has 3 SF. 0.0003 has 1 SF.
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Significant Figures Rule 5: If a number is written in sci. not., only the figs. in the base are sig. 1.05 x 10 5 has 3 SF. 2.0 x 10 32 has 2 SF. 1.6000 x 10 -8 has 5 SF.
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Significant Figures Multiplying or Dividing Using SF. Answer has same number of SF as least precise number being multiplied/divided. EX: 2.05 grams / 1.1 mL Calculator gives: 1.863636... g/mL Round to 2 SF: 1.9 g/mL EX: 15.0 cm x 205.5 cm Calculator gives: 3082.5 cm 3 Round to 3 SF: 3080 cm 3
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Adding or Subtracting Using SF. Answer has the same number of decimal places as the least precise number being added/subtracted. EX: 2.15 m + 1.0 m Calculator gives: 3.15 m Round to 1 d.p.: 3.2 m EX: 4.49 s – 3.048 s Calculator gives: 1.442 s Round to 2 d.p.: 1.44 s
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