Homework To receive full credit for the problems below, (a) proper units must be included for each numerical answer and (b) you must show all work, as usual. 1. A block of magnesium whose volume is 5 cm has a mass of 18 g. What is the density of the magnesium block? 2. A piece of wood has a density of 0.6 g/cm'. The log it was taken from is 16 m long and has a diameter of 1.5 m. a. The density of the piece of wood is 0.6 g/cm'. What is the density of the log that it was taken from? Explain. b. Use the density of the log to calculate the mass of the log. Hint: What is the shape of the log? c. Think carefully about your answer to (b). Does your final answer make physical sense? Explain. Note: If your answer does not make sense, you need to go back and re-do part (b)! 3. Consider the substances steel and Styrofoam. a. You have a 1/2-gram sample of steel and a 1/2-gram sample of Styrofoam. 1 . Which sample (if any) has the larger mass? Explain. ii. Which sample (if any) takes up more space? Explain. b. You have one teaspoon of steel and one teaspoon of Styrofoam. i. Which sample (if any) has the larger mass? Explain. ii. Which sample (if any) takes up more space? Explain. c. How many cubes of steel do you need to have the same volume as four cubes of Styrofoam: four, more than four, or less than four? Assume that the steel cubes are exactly the same size as the Styrofoam cubes. d. How many cubes of steel do you need to have the same mass as four cubes of Styrofoam: four, more than four, or less than four? Assume that the steel cubes are exactly the same size as the Styrofoam cubes