derive the formula that's describes the mathematical relationship between the two velocities v1 and v2 in terms of the given massesthis is physics 30

There are many different types of propulsion engines for satellites. One type of ion propulsion thrust chamber and the satellite to which it is attached are described below. The cylindrical thrust chamber of the engine has a central spike. Electromagnets are used to produce a non-uniform magnetic field directed radially toward the spike. A virtual cathode consisting of trapped electrons is located at the rear of the thrust chamber. An electric field exists between the anode and the virtual cathode. Positive xenon ions enter the thrust chamber at the anode and accelerate toward the virtual cathode, which results in thrust on the satellite. As the xenon ions pass through the virtual cathode, they pick up electrons and neutral xenon atoms fly out of the chamber. Diagram I: Thrust Chamber in Engine Thrust chamber Engine Location where xenon ions enter Virtual cathode trapped electrons) Satellite Exhaust of motion xenon atoms Anode Central spike `Radially directed magnetic field Diagram II: Cross Section of Thrust Chamber Location where xenon ions enter Virtual cathode Anode Central Magnetic field spike direction Region Y Thrust Chamber Specifications Magnetic field intensity at the location where the xenon ions enter 0.0200 T Electric field intensity at the location where the xenon ions enter 1.00 x 104 V/m Mass of one xenon ion, Xe* 2.19 x 10-25 kg Exit speed of neutral xenon atom with respect to the thrust chamber 1.5 x 10* m/s Xenon ions, mion: reach the virtual cathode with a speed of v1. When a xenon ion collides with a stationary electron, me, in the virtual cathode, the xenon atom, matom> formed has a speed of v2. Derive the formula that describes the mathematical relationship between the two velocities v, and v2 in terms of the given masses