a) A solid sphere of radius R = 0.2 m and of negligible mass is swimming on the surface of a lake of depth h = 1 m. The sphere is slowly pushed under the water, down to the bottom of the lake. Determine the work done by the external pushing force in the process. b) Now the sphere investigated in question a) is swimming in a water tank of base surface area A = 0.5 m². The depth of the water in the tank is h=1 m. Determine the work nceded to push the sphere down to the bottom of the tank. (Assume that no water flows out of the tank. The density of waler is e= 1000 kg/m, and g= 9.81 m/s.)

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a) A solid sphere of radius R = 0.2 m and of negligible mass is
swimming on the surface of a lake of depth h = 1 m. The sphere is slowly pushed
under the water, down to the bottom of the lake. Determine the work done by the
external pushing force in the process.
b) Now the sphere investigated in question a) is swimming in a water tank of base
surface area A = 0.5 m². The depth of the water in the tank is h=1 m. Determine the
work needed to push the sphere down to the bottom of the lank. (Assume that no watcer
Nows out of the tank. The density of water is e= 1000 kg/m³, and g = 9.81 m/s².)
Transcribed Image Text:a) A solid sphere of radius R = 0.2 m and of negligible mass is swimming on the surface of a lake of depth h = 1 m. The sphere is slowly pushed under the water, down to the bottom of the lake. Determine the work done by the external pushing force in the process. b) Now the sphere investigated in question a) is swimming in a water tank of base surface area A = 0.5 m². The depth of the water in the tank is h=1 m. Determine the work needed to push the sphere down to the bottom of the lank. (Assume that no watcer Nows out of the tank. The density of water is e= 1000 kg/m³, and g = 9.81 m/s².)
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