# Archimedes' principle and equilibrium of two submerged objects to find density

See attachment #1 for diagram.

Using Archimedes' principle and equilibrium of two submerged objects to find unknown density.

Find the density of an irregularly shaped plastic object found floating in the sea. Its mass is Mp= 1.25 kg. It is tied by a cord to a block of aluminum, mass Ma= 1.5 kg, whose density is Da= 2700 kg/m^3. The two masses are submerged in sea water, density Dliq=1025 kg/m^3, and held stationary by a cord exerting upward force C= 6.57 nt.

Find the density of the plastic object.

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#### Solution Preview

See attachment #2.

Step 1. Show all vertical forces acting on both masses.

Step 2. ...

#### Solution Summary

Archimedes' principle and equilibrium of two submerged objects to find density is provided. Complete with diagram, the solution presents a detailed response to the problem.