Underground water is to be pumped by a 78% efficient 5kW submerged pump to a pool whose free surface is 30m above the underground water level. The diameter of the pipe is 7cm on the intake side
and 5cm on the discharge side. Determine:
(a) the maximum flow rate of water
(b) the pressure difference across the pump.
Assume the elevation difference between the pump inlet and the outlet and consider the effect of
kinetic energy correction factors to be negligible.

An alpha particle with kinetic energy 12.5 mev makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude l = p0 b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m. (assume that the lead nucleus remains stationary and that it may be treated as a point charge. the atomic number of lead is 82. the alpha particle is a helium nucleus, with atomic number 2.) what is the distance of closest approach?