Posted by Amy on Wednesday, November 10, 2010 at 2:21pm.
There are at least two ways to do this.
You can calculate the distance below the ground of the center of gravity of the water in the tank. You are then lifting the mass of water from that point to the ground and work = m g times that distance up.
The other way is to find the cross sectional area of every slice of the tank at distance below ground z, call it Az. The work done on a slice is then rho g Az dz . Integrate that from z = 0 to z = 16.
The work done on a slice is then rho g Az z dz . Integrate that from z = 0 to z = 16.
(forgot distance slice is lifted, z)
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