DIMENSIONAL ANALYSIS WORKSHEET I.notebook DIMENSIONAL ANALYSIS PROBLEMS I September 04, 2014 2. The density of tin is 7.31 kg/m3. What volume would 24.80g of tin occupy? 1. A photographer who is hired to photograph each child in a summer baseball league has to decide how much film to purchase. If the league consists of 54 teams and each team has 12 players, how many rolls of 36 exposure film should she purchase if one exposure is to be used for each child? Sep 46:55 AM 3. If one year contains 365 days, how many seconds are in 35 years? Sep 46:57 AM 5. The speed limit on a certain highway is 72 km/h. What is this speed in cm/s? Sep 46:59 AM Sep 46:57 AM 4. How many miles could a cyclist travel in 12 hours, if he is able to maintain an average speed of 36 km/h? Sep 46:58 AM 6. Astronomers often use the unit lightyear to express intergalactic distances. If light travels at 3.00 x 1010 cm/s, and one year is defined as 365 days, what is the distance of a lightyear in kilometers? Sep 46:59 AM 1 DIMENSIONAL ANALYSIS WORKSHEET I.notebook 7. The density of lead is 11.3 g/cm3. Which of the following contains the greatest mass of lead: 1.0 lb, 0.50 kg, 0.050 liter? Sep 47:01 AM September 04, 2014 8. How large a container, in liters, would you need to hold 7.2 kg of gasoline? (Take the density of gasoline to be 0.68 g/cm3.) Sep 47:02 AM 10. There are 6.02 x 1023 atoms of mercury in 201 g of mercury. The density of mercury is 13.5 g/mL. A. What is the volume, in micrometers cubed, occupied by one mercury atom? 9. The food that the average American consumes in a day provides 2.0 x 103 kcal of energy. How many joules/second is this? B. Assuming the atom is a sphere, what is the radius of the mercury atom in nanometers? Sep 47:03 AM Sep 47:04 AM 2

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