Chapter 1: Exercises (1.6 - 1.10)

1.6 Told that he needs to set goals for himself, Billy Joe Bob decides to drink one cubic meter of his favorite beverage during the coming year. How many 16-fluid-ounce bottles should he drink each day? (Use Appendix E. A fluid ounce is a volume unit; 128 fluid ounces equals one gallon).

1.7 The Concorde is the fastest airliner that is used for commercial service. It cruises at 1450 mi/h (about two times the speed of sound, or Mach 2). a) What is the cruise speed of the Concorde in km/h? b) What is it in m/s?

1.8 While driving in an exotic foreign land you see a speed limit sign on a highway that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is $\frac{1}{8}$ of a mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)

1.9 The gasoline consumption of a small car is advertised as 15.0 km/L (1 L = 1 liter). How many miles per gallon is this? Use the conversion factors in Appendix E.

1.10 The following conversions occur frequently in physics and are very useful. a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. b) The acceleration of a freely falling object is 32 ft/s². Use 1 ft = 30.48 cm to express this acceleration in units of m/s². c) The density of water is 1.0 g/cm³. Convert this density to units of kg/m³.