The popular Super Soaker water guns are powered
by compressed air (provided by a hand pump used by
the operator.) A certain model has a cylindrical
reservoir (where the water is held) 8.00 cm in diameter
and a barrel (where the water leaves the gun) 1.00 cm
in diameter. If aimed at the optimum angle, water
leaving the barrel can hit a target 14.0 m away. If the
end of the barrel is 30.0 cm higher than the reservoir,
find:
(a) the flow rate of the water leaving the barrel;
(b) the gauge pressure of the water in the reservoir.
(Assume air resistance acting on the water in flight is
negligble.)