$6.$ Consider Figure $8-52$ on page $306$ of the textbook.$$ The pump flowrate is $5$ gpm and the relief valve is set to $750$ psi.

a$)$ Find the orifice area $$necessary for the load to lower at a constant rate if the $$load is $2,000$ lbf $,$ p$1=100$ psi, and no flow goes over the relief valve.

b$)$ There is no load, what will be the velocity the cylinder extends $($in inches per second$)$ and what will the pressure readings be$?($May be an iterative problem$)$