A3600 kg rocket traveling at 2900 m/s is moving freely through space on a journey to the moon. the ground controllers find that the rocket has drifted off course and that it must change direction by 11◦ if it is to hit the moon. by radio control the rocket’s engines are fired instantaneously (i. e., as a single pellet) in a direction perpendicular to that of the rocket’s motion. the gases are expelled (i. e., the pellet) at a speed of 4300 m/s (relative to the rocket). what mass of gas must be expelled to make the needed course correction? answer in units of kg.