Chapter 1: Problem 37
Express a \(90 \mathrm{~km} / \mathrm{h}\) speed limit in meters per second.
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Chapter 1: Problem 37
Express a \(90 \mathrm{~km} / \mathrm{h}\) speed limit in meters per second.
These are the key concepts you need to understand to accurately answer the question.
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The average Australian uses electrical energy at the rate of about \(0.8\) kilowatts (kW). Solar energy reaches Earth's surface at an average rate of about \(300 \mathrm{~W}\) on every square meter (a value that accounts for night and clouds). What fraction of Australia's land area would have to be covered with \(17 \%\) efficient solar cells to provide all of their electrical energy?
The diameter of a hydrogen atom is about \(0.1 \mathrm{~nm}\), and the diameter of a proton is about \(1 \mathrm{fm}\). How many times bigger than a proton is a hydrogen atom?
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). $$ \begin{array}{|l|l|l|l|l|l|} \hline \text { Diameter }(\mathrm{cm}) & 0.75 & 1.00 & 1.54 & 2.16 & 2.54 \\ \hline \text { Mass }(\mathrm{g}) & 1.81 & 3.95 & 15.8 & 38.6 & 68.2 \\ \hline \end{array} $$
When does an estimation comply well with the actual measurement?
How long a piece of wire would you need to form a circular arc subtending an angle of \(1.5 \mathrm{rad}\) if the radius of the arc is \(8.4 \mathrm{~cm}\) ?
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