A pump is needed to quickly drain a small pond before the earth dam fails. Water must be pumped over the top of the dam, which is about 2 m above the water surface. The only pump available is an old 10-cm diameter propeller pump. The power requirement for the motor is 1,000 watts, and the pump motor combination has a low efficiency of 50 percent. How many centimeters will the lake go down in the initial 24-hour period if the lake has a surface area of 5, 000 square meters? (Note: Both friction losses and minor losses are insignificant when compared to the position head the pump must overcome.)