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

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Answered: a) A solid sphere of radius R = 0.2 m…

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