A large tank ofwater has a hose connected to it. The tank is sealedat the top and has compressed airbetween the water surface and thetop. When the water height h hasthe value 3.50 m, the absolute pressurep of the compressed air is4.20 * 10^5 Pa. Assume that the airabove the water expands at constanttemperature, and take the atmospheric pressure to be 1.00 * 10^5 Pa.(a) What is the speed with which water flows out of the hose whenh = 3.50 m? (b) As water flows out of the tank, h decreases. Calculatethe speed of flow for h = 3.00 m and for h = 2.00 m. (c) At what valueof h does the flow stop?

A large tank ofwater has a hose connected to it. The tank is sealedat the top and has compressed airbetween the water surface and thetop. When the water height h hasthe value 3.50 m, the absolute pressurep of the compressed air is4.20 * 10^5 Pa. Assume that the airabove the water expands at constanttemperature, and take the atmospheric pressure to be 1.00 * 10^5 Pa.(a) What is the speed with which water flows out of the hose whenh = 3.50 m? (b) As water flows out of the tank, h decreases. Calculatethe speed of flow for h = 3.00 m and for h = 2.00 m. (c) At what valueof h does the flow stop?

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Question

A large tank of
water has a hose connected to it
. The tank is sealed
at the top and has compressed air
between the water surface and the
top. When the water height h has
the value 3.50 m, the absolute pressure
p of the compressed air is
4.20 * 10^5 Pa. Assume that the air
above the water expands at constant
temperature, and take the atmospheric pressure to be 1.00 * 10^5 Pa.
(a) What is the speed with which water flows out of the hose when
h = 3.50 m? (b) As water flows out of the tank, h decreases. Calculate
the speed of flow for h = 3.00 m and for h = 2.00 m. (c) At what value
of h does the flow stop?

Expert Solution