In: Physics
The Rosetta space probe has a mass of 1200 kg. On November 12th 2014,Rosetta landed on Comet 67P/C-G which has a mass of M= 1×10 ^18 kg. The instant before landing was initiated, scientists found Rosetta’s relative (to the comet) position and velocity to be: r=〈3×10^3,0,5×10^3m v=〈−1×10^2,2×10^2,0〉m/s Calculate the (approximate) momentum and position of the space probe 100 seconds later. Start from a fundamental principle and show all steps in your work. Express your final answer as three-component vectors.