In a water pistol, a piston drives water through a larger tube of radius1.50 cm into a smaller tube of radius1.10 mm as in the figure below.

(a) If the pistol is fired horizontally at a height of1.20 m, use ballistics to determine the time it takes water to travel from the nozzle to the ground.

(b) If the range of the stream is to be7.70 m, with what speed must the stream leave the nozzle?

(c) Given the areas of the nozzle and cylinder, use the equation of continuity to calculate the speed at which the plunger must be moved.

(d) What is the pressure at the nozzle? (Give your answer to at least four significant figures.)

(e) Use Bernoulli's equation to find the pressure needed in the larger cylinder. Can gravity terms be neglected?

(f) Calculate the force that must be exerted on the trigger to achieve the desired range. (The force that must be exerted is due to pressure over and above atmospheric pressure. Enter magnitude.)