An artificial pond was constructed in the local park last year by digging a hole in the shape of a perfect hemisphere of radius 2 m, and then filling it with water. Now, a year later, the pond needs cleaning, and the city workers need to pump out all of the water. In order to do so, energy must be expended to lift the water (working against gravity) from down inside the pond up to ground level. It is known that the energy, E required to lift a mass m (in kg) to a height h (in m) is given by E = mgh (where g can be taken to be 10 m/s2). You can take the density of water to be 1000 kg/m3. How much energy is required in total to pump all of the water out the pond?
An artificial pond was constructed in the local park last year by digging a hole in the shape of a perfect hemisphere of radius 2 m, and then filling it with water. Now, a year later, the pond needs cleaning, and the city workers need to pump out all of the water. In order to do so, energy must be expended to lift the water (working against gravity) from down inside the pond up to ground level. It is known that the energy, E required to lift a mass m (in kg) to a height h (in m) is given by E = mgh (where g can be taken to be 10 m/s2). You can take the density of water to be 1000 kg/m3. How much energy is required in total to pump all of the water out the pond?
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.37P
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An artificial pond was constructed in the local park last year by digging a hole in the shape of a perfect hemisphere of radius 2 m, and then filling it with water. Now, a year later, the pond needs cleaning, and the city workers need to pump out all of the water. In order to do so, energy must be expended to lift the water (working against gravity) from down inside the pond up to ground level. It is known that the energy, E required to lift a mass m (in kg) to a height h (in m) is given by E = mgh (where g can be taken to be 10 m/s2). You can take the density of water to be 1000 kg/m3.
How much energy is required in total to pump all of the water out the pond?
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