Question

Solve for all the following problems on a separate sheet of paper using dimensional analysis. Account units and significant figures. Show any applicable equations and work.

1) Houston Rockets basketball player Shaquille O’Neal is about 7.083 feet tall. Calculate his height in meters. If laid head to toe, how many of his body lengths would be required to span the length of a basketball court, 1,128 inches?

2) Taylor’s car, a 2007 Honda Accord, has a fuel efficiency of 32.78 miles per gallon. Richard’s car, a 1977 Chevrolet Chevelle has a fuel efficiency of 7.421 kilometers per liter. Who gets better gas mileage, Taylor or Richard?

3) The longest pass in NFL history from Tom Brady to Wes Welker was 99.34 yards. How many dekameters was this pass?

4) You travel to the Planet Conversionia to work with their scientists. But, they have a different system than our International System. The scientists need a box that has to be 55 gnuffles high. But you only have a meter stick, so they give you the conversion chart below. Using dimensional analysis, find out the height of the box in meters.

(1 meter = 46 squats) (2 squat = 50 doodles) ( 7 doodle = 9 beavii ) (1 beavii = 10 nuggles ) ( 5 nuggle = 9 snerts) (2 snert = 95 yuks ) (49 yuk = 4 gnuffles )

5) An experiment requires that each lab group (pair) use a 12.5 cm length of magnesium ribbon. How many students can do the experiment if there is an 800.0 cm length ribbon available?

6) Surveyors use a chain system of measurement. It looks as follows:

1 link = 7.92 inches

1 Gunter’s chain = 4 rods

10 Gunter’s chains = 1 furlong

1 mile = 80 Gunter’s chains

1 Gunter’s chain = 100 links

The distance of the Kentucky Derby, a renowned horse race, is 1.250 miles long. How many furlongs is this race?