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Be careful selecting your pennies.

  • Mass of a solid "copper" (95% copper, 5% zinc from 1962 to 1982) penny = 3.11g
  • Mass of a clad penny (97.5% Zinc clad with copper from 1982 to present) penny = 2.5g

That's a significant difference. Note the overlap year; 1982 had a mix of the two in production. Make sure you distribute the old pennies evenly, if you have them.
These numbers are for the U.S. cent.