Q: What is the final KE of star A, plus the GPE of A-and-black-hole? KE_A = 0.5 * ( 5.97 x 10^(30) kg ) * ( 1.72 x 10^6 m/s )^2 = 8.83 x 10^(42) J G * M_A * M_BH GPE = - -------------------- 4.49 x 10^(13) m = - 1.76 x 10^(43) J Q: How much KE does star B have in the final state? KE_B = (initial total energy) - ( final KE_A + final_GPE ) = ( - 2.85 x 10^(40) J ) - ( - 8.83 x 10^(42) J ) = 8.80 x 10^(42) J Q: How fast is star B moving? 0.5 * M_B * (v_B)^2 = 8.80 x 10^(42) J ( 2 * 8.80 x 10^(42) J ) v_B = sqrt( --------------------- ) ( 1.99 x 10^(30) J ) = 2.97 x 10^6 m/s = 2,970 km/s