In order to solve this problem, it is necessary to take into account the concepts related to Bernoulli's equation and the propulsive force.
Bernoulli's equation is defined by,

Where
P = Pressure
v = velocity
z= Heigth
Density
g = Gravitational Force
We must look for the speed at the exit. Our values are given by,




Since water is exposed to atmosphere outlet at the end, then 
Replacing we have





According to the statement, the required force is given by 500Lbf that is 2224.11N
Based on the propulsive force we have to

Replacing our values,



