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An astronaut using a jetpack (combined mass 80 kg) conducts a spacewalk on a trajectory far above the moon’s surface, moving 20 m/s at a 60° angle with the horizontal. A short burst of compressed nitrogen is ejected horizontally at 100 m/s (all velocities are relative to the moon’s surface). After this maneuver, the astronaut is moving vertically upward.
(a) What mass of gas was ejected?
(b) What are the astronaut’s new mass and speed?
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