A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. What is the density (in g/cm3) of a 300 g rock that displaces 89.0 cm3 of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes' principle.)

Question

Physics

Marc Boyle

28 December, 18:39

A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. What is the density (in g/cm3) of a 300 g rock that displaces 89.0 cm3 of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes' principle.)

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Answers (1)

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Levy · Answer 1

The density of rock = 3.37 g/cm³

Explanation:

Density: Density can be defined as the ratio of the mass of a body to the volume. The S. I unit of density is kg/m³. It can be expressed mathematically as,

D = M/V ... Equation 1

Where D = density of the body, M = mass of the body, V = volume of the body.

From Archimedes' principle, a body will displace a volume of water equal to its volume.

Therefore, Volume of the object = volume of water displaced

Given: M = 300 g, V = volume of water displace = 89.0 cm³.

Substituting these values into equation 1

D = 300/89

D = 3.37 g/cm³

The density of rock = 3.37 g/cm³