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Hi there.
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So for this problem we are told that the water level in a tank is 20 meters above the ground.
00:09
A hose that is connected to the bottom of the tank and the nozzle at the end of the hose is pointed straight up.
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The tank is at sea level and the water surface is open to the atmosphere.
00:25
In the line leading from the tan to the nozzle is a pump, which increases the pressure of water.
00:34
If the water jet rises to a height of 27 meters from the ground, we need to determine the minimum pressure rise supplied by the pump to the water line.
00:47
So the situation is the one that we are shown in this figure right here.
00:54
So we understand that the sum of the pressures in the tank and the palm is equal to that of the nozzle.
01:02
So the pressure in the tank plus the pressure in the palm is equal to the pressure in the nozzle.
01:13
For the pressure, we also know that it is given by the density of the liquid times the acceleration due to gravity times the height.
01:24
So we are going to have in this that the pressure in the tank is the density times the acceleration due to gravity times the height 1.
01:35
In this case we are not considering terms of velocity because we assume that this at the point 1 it is moving with speed that is very small and at the point 2 the speed because it is the maximum height is equal to 0 .0 .0 .0.
01:51
The speed because it is the maximum height is equal to 0 .0 .0 .0 .0 .0 .5 .5...