PhysicsClassical Physics

Buoyant Force: Density of a Rock Weighed in Air and Water

Find displaced water mass, rock volume, and average density from 540 g in air and a 342 g apparent submerged mass; assess consistency with granite.

Question

A rock's measured mass in air is 540 g; its apparent mass while submerged in water is 342 g. (a) Determine the mass of displaced water. (b) Determine the rock's volume. (c) Determine its average density and decide whether that density is consistent with granite.

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Evidence boundary

The 540 g and 342 g values are the supplied textbook readings, not measurements performed here. The model neglects air buoyancy and assumes complete immersion without trapped bubbles, water absorption, or contact with the container. Use water density 1.000 g/cm³. Density consistent with granite does not establish a unique mineral composition.