# Mechanics: Magnitude of a buoyant force on the sphere

Problem 93

A 7.49 kg sphere of radius 5.25 cm is at a depth of 2.20 km in seawater that has an average density of 1025 kg/m3. What are the (a) gauge pressure, (b) total pressure, and (c) corresponding total force compressing the sphere's surface? What are (d) the magnitude of the buoyant force on the sphere and (e) the magnitude of the sphere's acceleration if it is free to move? Take atmospheric pressure to be 1.01 x 105 Pa.

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#### Solution Preview

A 7.49 kg sphere of radius 5.25 cm is at a depth of 2.20 km in seawater that has an average density of 1025 kg/m3. What are the (a) gauge pressure, (b) total pressure, and (c) corresponding total force compressing the sphere's surface? What are (d) the magnitude of the buoyant force on the sphere and (e) the magnitude of the sphere's acceleration if it is free to move? Take atmospheric pressure to be 1.01 x 105 Pa.

Solution:

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#### Solution Summary

The magnitude of a buoyant force on the sphere is calculated using mechanics.