I have a question on a problem that covers the topic of density. The question is

Question

I have a question on a problem that covers the topic of density. The question is #26 in Chapter 13 of Tipler Mosca Physics for Scientists and Engineers. The question reads: Since 1983, the U.S. Mint has coined pennies that are made out of zinc with copper cladding. The mass of this type of penny is 2.50 g. Model the penny as a uniform cylinder of height 1.23 mm and radius 9.50 mm. Assume the copper cladding is uniformly thick on all surfaces. If the density of zinc is 7140 kg/m^3 and that of copper is 8930 kg/m^3, what is the thickness of the copper cladding? Please show how to do the problem step by step with the numbers given and how to get the final answer. I would really appreciate a response as soon as possible. Thanks!

Explanation / Answer

Volume of the penny v1=r^2h

=*(9.5)^2*1.23=348.74 mm^3

Let thichness of cladding be t

then volume of the cladding will be

v2=(r+t)^2/(h+2t)-r^2h

Toral mass= v1zinc+v2copper=2.5 g

Solve for t to obtain the thickness.

hope this helps

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