please solve. I only need part b solved, I've solved everything else.

I) {III Points} On its mission to explore the UNIVERSE, the USS Enterprise { mE=100,000[kg] } discovers an innite length rod in an otherwise empty region of space. The captain decides to send out a probe no study the properties of the rod. The Enterprise \"parks" 200 [km] from the rod, holding itself at rest relative to the rod by applying a constant thrust force away from the rod with a magnitude of 1 [W] (1 [MN] = I_[It]t],{)DO Newtons}. It then fires out a \"probe" which is e'ectively a bowling ball with a mass m3: 20[kg ] and charge on =+5 [INC]. The \"probe" moves about the rod in a circular orbit with speed 15,090 [W5]. a) Draw a FED of the (uncharged) Enterprise at rest near the red. It} Use Gauss' Law for Gravity to nd an expression for the gravitational eld due to the innite length rod 3 distance r away in terms ofthe linear mass densin ofthe rod 1,. _ GL for gravity is 35-313 =-4n: 113mW where mm is the mass enclosed by your chosen Gaussian surface (GSL HINT; You must draw your GS and go through the steps; c] Find the linear mass density 3..., of the rod. :1} Draw 3 FEB of the orbiting bowling ball \"probe" 2) Find the linear charge density 1