Flag Mechanics> Figure 16-39 shows a cross section of the...
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Figure 16-39 shows a cross section of the upper layers of the Earth. The surface of the Earth is broken into several rigid blocks, called plates, that slide (slowly!) over a “slushy” lower layer called the asthenosphere. See the figure for typical dimensions. Suppose that the speed of the rigid plate shown is v0 = 48 mm/y, and the base of the asthenosphere does not move. Calculate the shearing stress (shearing force per unit area) on the base of the plate. The viscosity of the asthenosphere material is 4.0 × 1019 N∙s/m2. Ignore the curvature of the Earth.
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

Radhika Batra , 9 Years ago
Grade 11
anser 1 Answers
Kevin Nash

Last Activity: 9 Years ago

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