Use Average Density in an Ideal Floating Model - Practice 1

For a freely moving object in a uniform liquid, ignoring surface tension and attachments, an average density below the liquid allows floating.

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For a freely moving object in a uniform liquid, ignoring surface tension and attachments, an average density below the liquid allows floating. A greater density leads to sinking. Equal densities give neutral buoyancy in this ideal model.

Worked example

An object of average density 0.8 g/cm^3 can float in a 1.0 g/cm^3 liquid. A hollow object uses its overall mass and displaced volume.

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Atoms with the same proton count but different neutron counts are isotopes of the same element. Changing a neutron does not automatically make a new element.

Question 1 Ideal case 1: object average density 8/10 g/cm^3; liquid density 10/10 g/cm^3. No attachments or surface-tension effects. What will the freely moving object tend to do? float sink have neutral buoyancy

Question 2 Ideal case 2: object average density 12/10 g/cm^3; liquid density 10/10 g/cm^3. No attachments or surface-tension effects. What will the freely moving object tend to do? float have neutral buoyancy sink

Question 3 Ideal case 3: object average density 10/10 g/cm^3; liquid density 10/10 g/cm^3. No attachments or surface-tension effects. What will the freely moving object tend to do? sink have neutral buoyancy float

Question 4 Ideal case 4: object average density 6/10 g/cm^3; liquid density 10/10 g/cm^3. No attachments or surface-tension effects. What will the freely moving object tend to do? float sink have neutral buoyancy

Question 5 Ideal case 5: object average density 14/10 g/cm^3; liquid density 10/10 g/cm^3. No attachments or surface-tension effects. What will the freely moving object tend to do? float have neutral buoyancy sink

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