You\'re pumping water into a 2-cm radius hose at ground level with a speed of 5

Question

You're pumping water into a 2-cm radius hose at ground level with a speed of 5 m/s. The other end of the pipe is 4-cm radius and at an elevation of 50 meters. The water will exit the hose with a speed which is... Half as fast as it entered Four times as fast as it entered The answer is uncomputable with the information given Twice as fast as it entered One-fourth as fast as it entered None of the above... answer is more complicated If water is to emerge from the top, the pressure of the water at the bottom must, at minimum, be None of the above... answer is more complicated Atmospheric pressure plus pgh (where p is the density of water, and h is 50 meters) Half atmospheric pressure Twice atmospheric pressure The answer is uncomputable with the information given

Explanation / Answer

Q = A1 v1 = A2 v2

r1^2 v1 = r2^2 v2

2^2 x 5 = 4^2 x v

v = 1.25 m/s

Ans: One forth

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P1 + 0 + rho v1^2 /2 = Patm + rho g h + rho v2^2 /2

P1 = Patm + rho g h + rho(v2^2 - v1^2)/2

Ans: None of the above - ---answer is more complicated

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