$(\}$ As shown in the Figure, a pump is installed in a $100$ m pipeline to raise water $H=20m$ between reservoirs. The pipe is rough concrete with a diameter of $80cm.$ The design discharge is $2\mathrm{.}06\frac{m^3}{sec}.$ Assume completely turbulent flow in the pipeline. The suction line is $15m$ of the $100-m$ length, and minor losses add up to $0\mathrm{.}95m$ on the suction side of the pump.

$(1)$ Determine the pump head $(H_p).$

$(2)$ To prevent cavitation in the suction side at temperature $20c,$ the allowable height the pump can be placed above the supply reservoir $(h_p)$ is $10m,$ what is the $H_s?$