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Chapter 1: Problem 21
You have postage for a 1 -oz letter but only a metric scale. What's the maximum mass your letter can have, in grams?
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A hydrogen atom is about \(0.1 \mathrm{nm}\) in diameter. How many hydrogen atoms lined up side by side would make a line \(1 \mathrm{cm}\) long?
The volume of a sphere is given by \(V=\frac{4}{3} \pi r^{3},\) where \(r\) is the sphere's radius. For solid spheres with the same density-made, for example, from the same material-mass is proportional to volume. The table below lists measures of diameter and mass for different steel balls. (a) Determine a quantity which, when you plot mass against it, should yield a straight line. (b) Make your plot, establish a best-fit line, and determine its slope (which in this case is proportional to the spheres' density). $$\begin{array}{|l|c|c|c|c|c|} \hline \text { Diameter }(\mathrm{cm}) & 0.75 & 1.00 & 1.54 & 2.16 & 2.54 \\ \hline \text { Mass }(\mathrm{g}) & 1.81 & 3.95 & 15.8 & 38.6 & 68.2 \\ \hline \end{array}$$
What facts might a scientist use in estimating Earth's age?
A radian is how many degrees?
The diameter of a hydrogen atom is about \(0.1 \mathrm{nm},\) and the diameter of a proton is about 1 fm. How many times bigger than a proton is a hydrogen atom?
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