Chapter 1: Problem 1
Explain why measurement standards based on laboratory procedures are preferable to those based on specific objects such as the international prototype kilogram.
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Chapter 1: Problem 1
Explain why measurement standards based on laboratory procedures are preferable to those based on specific objects such as the international prototype kilogram.
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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 \(4 \mathrm{~cm}\) long?
A uranium fuel rod is \(3.846 \mathrm{~m}\) long when it's in an operating reactor. When it's removed from the reactor and allowed to cool, its length decreases by \(7.2 \mathrm{~mm}\). What's its new length?
How would you determine the length of a curved line?
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 that, 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). $$ \begin{array}{|l|l|l|l|l|l|} \hline \text { Diameter }(\mathrm{cm}) & 0.75 & 1.00 & 1.54 & 2.16 & 2.54 \\ \hline \text { Mass }(\mathrm{g}) & 1.81 & 3.95 & 15.8 & 38.6 & 68.2 \\ \hline \end{array} $$
A car is moving at \(90.0 \mathrm{~km} / \mathrm{h}\). Express its speed in (a) \(\mathrm{m} / \mathrm{s}\) and (b) \(\mathrm{ft} / \mathrm{s}\).
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