A pumper fire truck is pumping water through a hose. The hose connects to the truck at 1 m above sea level and the hose is held on top of a ladder at 10 m above sea level. The base of the hose, where it connects to the truck, has a diameter of 10 cm, and the nozzle, where the water comes out, has a diameter of 2 cm. The pressure at the base of the hose is 700,000 Pa. How much mechanical energy **in Joules** does one gram of water gain as it goes from the bottom to the top of the hose?

**Details and assumptions**

- The acceleration due to gravity is \(-9.8~m/s^2\).
- The density of water is \(1~g/cm^3\).
- You may neglect any viscosity for water.
- 1 atmosphere is 101,325 Pa.

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