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If a US quarter has a mass of 5.67 g and is 1.55 mm thick, how many quarters would have to be stacked to reach 575 ft and how much would this stack weigh?

Question

If a US quarter has a mass of 5.67 g and is 1.55 mm thick, how many quarters would have to be stacked to reach 575 ft and how much would this stack weigh?

check_circleAnswer
Step 1

The US quarter has mass of 5.67g and is 1.55 mm thick.

Convert the given thickness in mm to ft by using the following equivalent statement.

1ft = 304.8 mm

Therefore, the thickness of one US quarter is 5.09 * 10-3 ft.

The number of US quarter in 575 ft is calculated as follows:

575 ft *1 quarter/5.09*105 quarters

= 1.13*105 quarters.

Step 2

Answer:

Therefore, the number of US quarters needed to have a stack of 575 ft is 1.13*105 quarters.

Step 3

The stack weight of the US quarters can be calculated as

The number of US quarters is 1.13*105 quarters mul...

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