A fun toy for all ages is the bottle rocket. The one in the picture was made by adding fins to a standard soda bottle. The bottle is partly filled with water and then highly pressurized.The density of the water is ? = 1000 kg/m3. The height at the top of the water is y1 = 0.058 meters, and the gauge pressure above the water is 771500 Pascals. We will treat the soda bottle as a "tank" so that the velocity of the water inside is negligible. The radius of the opening at the end of the water bottle is r = 0.006 meters. Determine all the following: The velocity of the water at the exit of the bottle: v = ?m/s The mass rate of flow of the water at the exit: ? k

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
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A fun toy for all ages is the bottle rocket. The one in the picture was made by adding fins to a standard soda bottle. The bottle is partly filled with water and then highly pressurized.The density of the water is ? = 1000 kg/m3. The height at the top of the water is y1 = 0.058 meters, and the gauge pressure above the water is 771500 Pascals. We will treat the soda bottle as a "tank" so that the velocity of the water inside is negligible. The radius of the opening at the end of the water bottle is r = 0.006 meters.

Determine all the following:
The velocity of the water at the exit of the bottle: v = ?m/s
The mass rate of flow of the water at the exit: ? kg/sec
The volume rate of flow of the water at the exit: ? m3/sec 

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