Determine the work involved in pumping all out the water out over the side of an olympic size swimming pool. you will need to use the fact that olympic size pools

General
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determine the work involved in pumping all out the water out over the side of an olympic size swimming pool. you will need to use the fact that olympic size pools are roughly in the shape of rectangular prism 50 meters long, 25 meters wide, and 2 meters deep, and the density of water is approximately 1000kg/m^3

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To determine the work involved in pumping out all the water from an Olympic size swimming pool, we need to calculate the volume of water and then use the equation for work involving fluid displacement.

First, let’s calculate the volume of the pool. Since the pool is shaped like a rectangular prism, we can use the formula:

Volume = length x width x depth

Given the dimensions of the pool as mentioned by LectureNotes: length = 50 meters, width = 25 meters, and depth = 2 meters, we can now calculate the volume:

Volume = 50m * 25m * 2m = 2500 cubic meters

Now that we have the volume of water in the pool, we can calculate the weight of the water using its density. The density of water is approximately 1000 kg/m^3. Weight is equal to the product of mass and gravity, where gravity is approximately 9.8 m/s^2.

Weight = Mass x Gravity

Since density = mass/volume, we can rearrange the formula to solve for mass:

Mass = Density x Volume

Mass = 1000 kg/m^3 * 2500 m^3 = 2,500,000 kilograms

Now, we can calculate the work required to pump out all the water. The equation for work involving fluid displacement is:

Work = Weight x Height

In this case, the height is the depth of the pool, which is 2 meters. Substituting the values, we get:

Work = 2,500,000 kg * 9.8 m/s^2 * 2 m = 49,000,000 Joules or 49 MJ (megajoules)

Therefore, the work involved in pumping out all the water from the Olympic size swimming pool is approximately 49 megajoules.