Calculate the maximum velocity of rocket, Physics

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A popular toy on the market some years ago was the water rocket. Water (at 10°C) was loaded into a plastic rocket and pressurized with a hand pump. The rocket was released and would travel a considerable distance in the air. Assume that a water rocket has mass of 50 g and is charged with 100 g of water. The pressure inside the rocket is 100 kPa gage. The exit area is one-tenth of the chamber cross-sectional area The inside diameter of the rocket is 5 cm. Assume that Bernoulli equation is valid for the water flow inside the rocket. Neglecting air friction, calculate the maximum velocity the rocket will attain.

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