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Chapter 1: Problem 44
In Major League baseball, the pitcher delivers his pitches from a distance of 60 feet, 6 inches from home plate. What is the distance in meters?
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The masses of four sugar cubes are measured to be \(25.3 \mathrm{~g}, 24.7 \mathrm{~g}, 26.0 \mathrm{~g},\) and \(25.8 \mathrm{~g} .\) Express the answers to the following questions in scientific notation, with standard SI units and an appropriate number of significant figures. a) If the four sugar cubes were crushed and all the sugar collected, what would be the total mass, in kilograms, of the sugar? b) What is the average mass, in kilograms, of these four sugar cubes?
The distance a freely falling object drops, starting from rest, is proportional to the square of the time it has been falling. By what factor will the distance fallen change if the time of falling is three times as long?
If \(\vec{A}\) and \(\vec{B}\) are vectors and \(\vec{B}=-\vec{A},\) which of the following is true? a) The magnitude of \(\vec{B}\) is equal to the negative of the magnitude of \(\vec{A}\). b) \(\vec{A}\) and \(\vec{B}\) are perpendicular. c) The direction angle of \(\vec{B}\) is equal to the direction angle of \(\vec{A}\) plus \(180^{\circ}\) d) \(\vec{A}+\vec{B}=2 \vec{A}\).
Roughly \(4.00 \%\) of what you exhale is carbon dioxide. Assume that \(22.4 \mathrm{~L}\) is the volume of \(1 \mathrm{~mole}\left(6.02 \cdot 10^{23} \mathrm{~mole}-\right.\) cules) of carbon dioxide and that you exhale \(0.500 \mathrm{~L}\) per breath. a) Estimate how many carbon dioxide molecules you breathe out each day. b) If each mole of carbon dioxide has a mass of \(44.0 \mathrm{~g}\), how many kilograms of carbon dioxide do you exhale in a year?
What is the number of carbon atoms in 0.5 nanomoles of carbon? One mole contains \(6.02 \cdot 10^{23}\) atoms. a) \(3.2 \cdot 10^{14}\) atoms d) \(3.2 \cdot 10^{17}\) atoms b) \(3.19 \cdot 10^{14}\) atoms e) \(3.19 \cdot 10^{17}\) atoms c) \(3 . \cdot 10^{14}\) atoms f) \(3 . \cdot 10^{17}\) atoms
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