A toy rocket consists of a plastic bottle partly filled with water containing also air at a\ high pressure

p

. The water is ejected through a small nozzle of area

A

. Calculate the exhaust\ velocity

v

by assuming that frictional losses of energy are negligible, so that the kinetic energy\ of the escaping water is equal to the work done by the gas pressure in pushing it out. Show\ that the thrust of this rocket engine is then 2 pA. (Assume that the water leaves the nozzle of\ area

A

with velocity

v

.) If the empty rocket weighs

500g

, if it contains initially

500g

of water,\ and if

A=5mm^(2)

, what pressure is required in order that the rocket can just support itself\ against gravity? If it is then released so that it accelerates upward, what maximum velocity\ will it reach? Approximately how high will it go? What effects are neglected in the calculation,\ and how would each of them affect the final result?

8. A toy rocket consists of a plastic bottle partly filled with water containing also air at a high pressure p. The water is ejected through a small nozzle of area A. Calculate the exhaust velocity v by assuming that frictional losses of energy are negligible, so that the kinetic energy of the escaping water is equal to the work done by the gas pressure in pushing it out. Show that the thrust of this rocket engine is then 2pA. (Assume that the water leaves the nozzle of area A with velocity v.) If the empty rocket weighs 500g, if it contains initially 500g of water, and if A=5mm2, what pressure is required in order that the rocket can just support itself against gravity? If it is then released so that it accelerates upward, what maximum velocity will it reach? Approximately how high will it go? What effects are neglected in the calculation, and how would each of them affect the final result