By Betty Richardson, Robert Richardson Alan Giambattista
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Extra resources for Physics, Second Edition
Strategy Replace each quantity with its dimensions. Distance has dimensions [L]. Speed has dimensions of length per unit time [L/T]. The equation is dimensionally consistent if the dimensions are the same on both sides. Solution The right side has dimensions [L] ___ × [T] = [L] [T] Since both sides of the equation have dimensions of length, the equation is dimensionally consistent. indd Sec1:11 quickly catch the mistake by looking at the dimensions. On the right side, v/t would have dimensions [L/T2], which is not the same as the dimensions of d on the left side.
What is the truth about the greenhouse effect, the ozone hole, and the danger of radon in the home? By studying physics, you learn some of the basic scientific principles and acquire some of the intellectual skills necessary to ask probing questions and to formulate informed opinions on these important matters. • Finally, by studying physics, we hope that you develop a sense of the beauty of the fundamental laws governing the universe. 2 TALKING PHYSICS Some of the words used in physics are familiar from everyday speech.
Then the volume of an average cell is about V cell ≈ (1 × 10−5 m)3 = 1 × 10−15 m3 The number of cells is the ratio of the two volumes: volume of body 6 × 10−2 m3 ≈ 6 × 1013 N = ___________________ ≈ ___________ average volume of cell 1 × 10−15 m3 Discussion Based on this rough estimate, we cannot rule out the possibility that a better estimate might be 3 × 1013. On the other hand, we can rule out the possibility that the number of cells is, say, 100 million (= 108). 9 in the United States Drinking Water Consumed How many liters of water are swallowed by the people living in the United States in one year?