About once every 30 minutes, a geyser known as old faceful projects water 11.0 m straight up into the air.
use g = 9.80 m/s2, and take atmospheric pressure to be 101.3 kpa. the density of water is 1000 kg/m3.

(a) what is the speed of the water when it emerges from the ground? m/s

(b) assuming the water travels to the surface through a narrow crack that extends 9.00 m below the surface, and that the water comes from a chamber with a large cross-sectional area, what is the pressure in the chamber?

Answers:

a)

b)

Explanation:

We have the following data:

is the time

is the height the water reaches vertically

is the acceleration due gravity

is the pressure of air

is the density of water

Knowing this, let's begin:

Here we will use the following equation:

(1)

Where:

is the initial height of water

is the initial speed of water

Isolating :

(2)

(3)

In this part we will use the following equation:

(4)

Where:

is the absolute pressure in the chamber

is the depth

(5)

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