Astronaut Stumblebum wanders too far away from the space shuttle orbiter while repairing a broken communications satellite. Stumblebum realizes that the orbiter is moving away from him at $3 \mathrm{~m} / \mathrm{s}$. Stumblebum and his maneuvering unit have a mass of $100 \mathrm{~kg}$, including a pressurized tank of mass $10 \mathrm{~kg}$. The tank includes only $2 \mathrm{~kg}$ of gas that is used to propel him in space. The gas escapes with a constant velocity of $100 \mathrm{~m} / \mathrm{s}$. With what velocity will Stumblebum have to throw the empty tank away to reach the orbiter?
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