You have submerged a cubic box in sea water (Psea = 1030 kg m-³). The box has side length 1 = 20 cm, and has mass m = 6.00 kg. a. Calculate the average density of the box. b. Draw a free-body-diagram of the box and calculate the net force acting on it. Will the box float, sink, or remain at mid-water. You have to motivate your answer to obtain any points. c. If the top face of the box was at a depth h = 1.5 m, calculate the pressure water was exerting on the top face of the box. Patm = 1.01 × 105 Pa. d. With the box in the same position, calculate the force water was exerting on the bottom face of the box. Having established that the box would float in sea water, once the box ches its equilibrium position, calculate the fraction of the box that will be merged.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter15: Fluids
Section: Chapter Questions
Problem 22PQ: A spherical submersible 2.00 m in radius, armed with multiple cameras, descends under water in a...
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You have submerged a cubic box in sea water (Psea = 1030 kg m-³). The box has
side length 1 = 20 cm, and has mass m = 6.00 kg.
a. Calculate the average density of the box.
b. Draw a free-body-diagram of the box and calculate the net force acting on it.
Will the box float, sink, or remain at mid-water.
You have to motivate your answer to obtain any points.
c. If the top face of the box was at a depth h = 1.5 m, calculate the pressure
water was exerting on the top face of the box. Patm = 1.01 × 105 Pa.
d. With the box in the same position, calculate the force water was exerting on
the bottom face of the box.
Having established that the box would float in sea water, once the box
reaches its equilibrium position, calculate the fraction of the box that will be
submerged.
Transcribed Image Text:You have submerged a cubic box in sea water (Psea = 1030 kg m-³). The box has side length 1 = 20 cm, and has mass m = 6.00 kg. a. Calculate the average density of the box. b. Draw a free-body-diagram of the box and calculate the net force acting on it. Will the box float, sink, or remain at mid-water. You have to motivate your answer to obtain any points. c. If the top face of the box was at a depth h = 1.5 m, calculate the pressure water was exerting on the top face of the box. Patm = 1.01 × 105 Pa. d. With the box in the same position, calculate the force water was exerting on the bottom face of the box. Having established that the box would float in sea water, once the box reaches its equilibrium position, calculate the fraction of the box that will be submerged.
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