A cube of wood having an edge dimension of 20.5 cm and a density of 645 kg/m3 floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? Answer = 7.175 cm  what is the answer for b ? (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? hint: Apply Archimedes' principle to find the buoyant force when the cube is just barely submerged and therefore the total weight and mass of the floating object. kg

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 27P
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A cube of wood having an edge dimension of 20.5 cm and a density of 645 kg/m3 floats on water.

(a) What is the distance from the horizontal top surface of the cube to the water level?

Answer = 7.175 cm 

what is the answer for b ?

(b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface?

hint: Apply Archimedes' principle to find the buoyant force when the cube is just barely submerged and therefore the total weight and mass of the floating object. kg

 

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