Solution Found!
A simple model (Fig. 10-56) considers a continent as a
Chapter 4, Problem 72GP(choose chapter or problem)
A simple model (Fig. ) considers a continent as a block (density \(\approx 2800 \mathrm{~kg} / \mathrm{m}^{3}\) ) floating in the mantle rock ăround it (density \(\approx 3300 \mathrm{~kg} / \mathrm{m}^{3}\)). Assuming the continent is
thick (the average thickness of the Earth's continental crust), estimate the height of the continent above the surrounding rock.
FIGURE 10-56 Problem 72.
Equation Transcription:
Text Transcription:
\approx 2800 kg/m3
\approx 3300 kg/m3
Questions & Answers
QUESTION:
A simple model (Fig. ) considers a continent as a block (density \(\approx 2800 \mathrm{~kg} / \mathrm{m}^{3}\) ) floating in the mantle rock ăround it (density \(\approx 3300 \mathrm{~kg} / \mathrm{m}^{3}\)). Assuming the continent is
thick (the average thickness of the Earth's continental crust), estimate the height of the continent above the surrounding rock.
FIGURE 10-56 Problem 72.
Equation Transcription:
Text Transcription:
\approx 2800 kg/m3
\approx 3300 kg/m3
ANSWER:
Solution 72GP:
Continent is able to float on the mantle rock because its weight is balanced by the buoyancy force. As the continent is floating on the mantle rock, we have to determine the height of the continent above the mantle rock layer.
Step 1 of 5
Concept:
Density of the body is defined as the ratio of the mass
of the body to its volume
. Mathematically,
…(1)
…(2)
Archimedes Principle: Buoyancy force acting on an object whose volume
is immersed inside the liquid of density
is given as,
…(3)
Flotation Law: When the first body floats on the surface of the second body, the buoyancy force by second body balance the weight
of the first body.
…(4)