Water flows from a fire truck through a hose that is 11.7 cm in diameter and has a nozzle that is 2.00 cm in diameter. The firefighters stand on a hill 5.30 m above the level of the truck. When the water leaves the nozzle, it has a speed of 21.0 m/s. The density of water is 1.00 × 10³ kg/m³. Determine the minimum gauge pressure pg in the truck's water tank. Pg= Pa

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Chapter1: Units, Trigonometry. And Vectors
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Water flows from a fire truck through a hose that is 11.7 cm in diameter and has a nozzle that is 2.00 cm in diameter. The firefighters stand on a hill 5.30 m above the level of the truck. When the water leaves the nozzle, it has a speed of 21.0 m/s. The density of water is \(1.00 \times 10^3 \, \text{kg/m}^3\).

Determine the minimum gauge pressure \( p_g \) in the truck's water tank.

\[ p_g = \] \(\text{Pa}\)
Transcribed Image Text:Water flows from a fire truck through a hose that is 11.7 cm in diameter and has a nozzle that is 2.00 cm in diameter. The firefighters stand on a hill 5.30 m above the level of the truck. When the water leaves the nozzle, it has a speed of 21.0 m/s. The density of water is \(1.00 \times 10^3 \, \text{kg/m}^3\). Determine the minimum gauge pressure \( p_g \) in the truck's water tank. \[ p_g = \] \(\text{Pa}\)
A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the plaque decreases the diameter of the vessel by 71.0%. The blood approaching the blocked portion has speed \( v_0 \). Just as the blood enters the blocked portion of the vessel, what is its speed \( v \), expressed as a multiple of \( v_0 \)?

\[ v = \, \square \times v_0 \]
Transcribed Image Text:A cylindrical blood vessel is partially blocked by the buildup of plaque. At one point, the plaque decreases the diameter of the vessel by 71.0%. The blood approaching the blocked portion has speed \( v_0 \). Just as the blood enters the blocked portion of the vessel, what is its speed \( v \), expressed as a multiple of \( v_0 \)? \[ v = \, \square \times v_0 \]
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