A star of mass M = 1.82 X 1030kg is the origin of a coordinate system. A comet of mass m = 6.07 X 1012kg is initially at location 7 = 2.27 X 1015mf+ 3.94 X 1011mf. The comet is travelling with velocity 17 = 3.16 X 103 %;. (The input below will accept answers with no more than 1% variation from the correct value.) Using conservation of energy and of angular momentum, what is the comet's distance from the star at the instant it's closest, and what is the comet's speed? (Hint: Consider the direction of the velocity relative to the position when the comet is at its closest point.) |7| = X108m |B| = x105