A certain object weighs 100 N. When placed in water it weighs 72 N and when placed in oil it weighs 82 N.
a) What is the density of the object?
b) What is the density of the oil?
This solution calculates the density of the object using the mass of the object and the buoyant force equation, and also calculates the density of the oil by using the volume of oil displaced and the buoyant force equation. All steps are shown with brief explanations.
Archimedes principle: Example problem
A block of wood floats on water. A layer of oil is now poured on top of the water to a depth that more than covers the block, as shown in Figure 15-30.
(a) Is the volume of wood submerged in water greater than, less than, or the same as before?
a. more wood submerged in water than before
b. less wood submerged in water than before
c. same amount of wood is submerged in water as before
(b) If 75% of the wood is submerged in water before the oil is added, find the fraction submerged when oil with a density of 731 kg/m3 covers the block. (Do not neglect the buoyant force of air before the oil is added.)
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