標題:
F.4 Phy (work,energy,power)
發問:
A reservoir is built near the sea.It can be viewed as a rectangular water tank filled with water of total mass 10^7 kg to height 100m.c)A thick tube is built through the dam with the top opening at depth 50 m and the other opening at the sea level.Find the speed of water leaving the tube.I can't even... 顯示更多 A reservoir is built near the sea.It can be viewed as a rectangular water tank filled with water of total mass 10^7 kg to height 100m. c)A thick tube is built through the dam with the top opening at depth 50 m and the other opening at the sea level.Find the speed of water leaving the tube. I can't even read the question in part c..= =""i know the ans is 44.7m/s.If you can't read too..you can guess it from the ans. If you can,may you post the picture described in c)? Thank you very much!!
最佳解答:
Assume water entering the tube comes from the surface. Hence, loss of potential energy of m kg of water on leaving the tube at the bottom of the dam = mg(100) J = 1000m J [where g, the acceleration due to gravity, is taken to be 10 m/s^2] Gain in kinetic energy of the m kg of water = (1/2)mv^2 where v is the speed of water leaving the tube By conservation of energy, 1000m = (1/2)mv^2 v^2 = 2000 (m/s)^2 i.e. v = 44.72 m/s
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