The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.How many quarters would have to be stacked to reach 575 ft, the height of the Washington Monument?How much would this stack weigh?How much money would this stack contain?How much money would this stack contain?The US National Debt Clock showed the outstanding public debt to be $11,687,233,914,811.11 on August 19, 2009. How many stacks like the one described would be necessary to pay off this debt?

Question

nincompoop · Answer

use conversion then dimensional analysis

cuanchi · Answer

1) convert the 575 ft to mm, (1 ft= 12 in; 1in=25.4 mm)
2) calculate how many quarters in the mm calculated in 1 with the conversion factor (1 quarter = 1.55 mm)
3) Calculate the weight of the stack of quarters with the number of quarters calculated in 2) 
( 1 quarter = 5.67 g)
4) Calculate the value of the stack with the number of quarters calculated in 2) 
(1 quarter = $ 0.25)
5) calculate the number of stacks in the public debit with the value of the stacks calculated in 4)