Question

GOAL Estimate the number of stacked objects required to reach a given helght. PROBLEM How many one-dollar bills, stacked one on top of the other, would reach the Moon? STRATEGY The distance to the Moon is about 400,000 km. Guess at the number of dollar bills in a millimeter, and multiply the distance by this number, after converting to consistent units SOLUTION 10 bills 103 mm 1 mm 1 nm 103 m 1 km We estimate that ten stacked bills form 107 bills a layer of 1 mm. Convert mm to km. 1 km Multiply this value by the approximate lunar distance. # of dollar bills-. (4.x 105 km)( 10% bills 4. X 1012 bills LEARN MORE REMARKS That's within an order of magnitude of the U.S. national debt! QUESTION Based on the answer, about how many stacked pennies would reach the Moon? (Assume that a penny is 1 mm thick.) EXERCISE HINTS: GETTING STARTED I I'M STUCK! How many pieces of cardboard, typically found at the back of a bound pad of paper, would you have to stack up to match the height of the Washington monument, about 170 m tall? (Assume that a piece of cardboard is 1 mm thick.)

Answer 1

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