To determine the approximate mass of a small spherical shot of copper, the following experiment is performed. When 125 pieces of the shot are counted out and added to 8.4 mL of water in a graduated cylinder, the total volume becomes 8.9 mL. The density of copper is Determine the approximate mass of a single piece of shot, assuming that all of the pieces are of the same dimensions.

Question

Milton

Physics

11 October, 03:14

To determine the approximate mass of a small spherical shot of copper, the following experiment is performed. When 125 pieces of the shot are counted out and added to 8.4 mL of water in a graduated cylinder, the total volume becomes 8.9 mL. The density of copper is Determine the approximate mass of a single piece of shot, assuming that all of the pieces are of the same dimensions.

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Gabrielle · Answer 1

Answer: The mass is 3.58*10^-2 g

Explanation: In order to calculate the mass corresponding to of a small spherical shot of copper inside a graduate cylinder with water we have considered the total volume of water incresed after put the cooper pieces.

In this sense the total increased volume of water is equal to the volume of the 125 small spherical shot of copper so we have the following:

0.5 mL = 125 * volume of each piece of cooper=125*Vcopper

Vcooper=0.5/125 mL=5*10^-7 m^3/125=4*10^-9 m^3

Therefore the mass corresponding to each copper piece is equal to:

density of copper * Vcopper piece = 8960 Kg/m^3*4*10^-9 m^3=3.58*10^-5 Kg = 3.58*10^-2 g