To illustrate th principle of a rocket, a student designed a water rocket as shwon in the figure. It is basically a container having pressurized gas in its upper part and water in its lower part. Pressure of the gas is 4.0Mpa. Mass of empty container is 1.0kg and mass of its content is also 1.0kg. The nozzle at the bottom is opened to impart a vertical acceleration to the contaienr. If it is desired that the initial upwards acceleration of the container be 0.5g. what should be the cross sectional area (A) of the exit of the nozzle?
Neglect the pressure due to height of water in the contaienr and take atmospheric pressure to be 1.0MPa. g=`10ms^(-2)`.