A hollow plastic cube of side length 80 cm is held below the surface of a lake by a cord anchored to the bottom of the lake. The cube has a mass of 85 kg and the density of the lake water is 1025 kg/m³. a) What is the buoyant force exerted on the cube by the lake water? b) If the top surface of thercube is 25.4 m below the surface of the lake, what is the gauge pressure at the top surface of the cube? P= 1.013 x 10° Pa. atm c) What is the force on the top face of the cube? Note the top face will have a square cross section and the length of the side is 80 cm.

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Chapter1: Units, Trigonometry. And Vectors
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25.4m
80 cm
Transcribed Image Text:25.4m 80 cm
A hollow plastic cube of side length 80 cm is held below the surface of a lake by a cord anchored to the
bottom of the lake. The cube has a mass of 85 kg and the density of the lake water is 1025 kg/m.
a) What is the buoyant force exerted on the cube by the lake water?
b) If the top surface of thercube is 25.4 m below the surface of the lake, what is the gauge pressure at the top
surface of the cube? P,
= 1.013 x 10° Pa.
atm
c) What is the force on the top face of the cube? Note the top face will have a square cross section and the
length of the side is 80 cm.
Transcribed Image Text:A hollow plastic cube of side length 80 cm is held below the surface of a lake by a cord anchored to the bottom of the lake. The cube has a mass of 85 kg and the density of the lake water is 1025 kg/m. a) What is the buoyant force exerted on the cube by the lake water? b) If the top surface of thercube is 25.4 m below the surface of the lake, what is the gauge pressure at the top surface of the cube? P, = 1.013 x 10° Pa. atm c) What is the force on the top face of the cube? Note the top face will have a square cross section and the length of the side is 80 cm.
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