Volume of the slice, then the Mass of the slice, the Force needed to lift it, and the Work needed to lift it all the way to the top. Vol=?, Mass=?, Force to lift?, Distance to lift=
A circular swimming pool has a diameter of 10m, the sides are 4m high and it is completely full of water. Calculate the Work needed to pump all of the water out over the side of the pool. Assume the acceleration due to gravity is 9.8m/s^2, and the density of the water is 1000kg/m^3.
A) Draw a picture of the swimming pool. Then "slice" the water horizontally.
B) Calculate the Volume of the slice, then the Mass of the slice, the Force needed to lift it, and the Work needed to lift it all the way to the top. Vol=?, Mass=?, Force to lift?, Distance to lift=?, Work to lift slice to top=?
C) Use a definite integral to calculate the total work needed to pump all of the water out over the side of the pool.
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