Problem 83
When is it correct to use \(\mathrm{cm}^{3}\) instead of \(\mathrm{mL}\) ? Explain.
Problem 85
Convert each length to meters. Report your answers in scientific notation and watch your significant figures. (a) \(2.31\) gigameters \((\mathrm{Gm})\) (b) \(5.00\) micrometers \((\mu m)\) (c) 1004 millimeters \((\mathrm{mm})\) (d) \(5.00\) picometers \((\mathrm{pm})\) (e) \(0.25\) kilometer \((\mathrm{km})\)
Problem 86
Which is larger, a Celsius degree or a Fahrenheit degree? Explain.
Problem 87
Of the three temperature scales, which can have negative temperatures? For the one(s) that can't, explain why not.
Problem 88
Convert: (a) \(22.5^{\circ} \mathrm{C}\) to Fahrenheit and Kelvin (b) \(-3.00{ }^{\circ} \mathrm{F}\) to Celsius and Kelvin (c) \(100.0^{\circ} \mathrm{C}\) to Kelvin and Fahrenheit (d) \(65.1^{\circ} \mathrm{C}\) to Fahrenheit and Kelvin
Problem 90
What is the coldest temperature possible in Celsius and Fahrenheit? Give your answers to an uncertainty of plus or minus one-hundredth of a degree.
Problem 93
Using a ruler marked in centimeters and millimeters, a student measures the diameter of a ball to be \(1.5 \mathrm{~cm}\). His partner measures the same ball with the same ruler and comes up with \(1.50\) \(\mathrm{cm}\). Which student used the ruler incorrectly? How did that student use the ruler incorrectly?
Problem 95
Define density, and explain why the unit for density is called a derived SI unit.
Problem 100
Two students measure the density of gold. One works with a \(100-g\) bar of pure gold. The other works with a \(200-g\) bar of pure gold. Which student measures the larger density? Explain your answer.
Problem 104
You have a great job in which you earn \(\$ 25.50\) per hour. How many dollars do you earn per second? Use unit analysis to calculate your answer, and show your work.