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A space shuttle of inertia m is attached to a booster rocket that has an inertia nine times greater. This system is moving at a speed of 900 m/s in outer space, as seen by observers in a nearby space station. Then explosive bolts are detonated, separating the shuttle from the rocket and thrusting the shuttle forward at a speed of 200 m/s relative to the rocket. Suppose that the shuttle and the rocket are initially moving in the positive i^ direction

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Answer: 880, 1080

Explanation:

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(M + 9M)*900m/s i^ = 9M*V + M*(V+200m/s) i^

M cancels

9000 m/s i^ = 10V + 200m/s i^

V = 8800 i^ / 10 = 880 m/s i^ ◄ booster rocket

and so the shuttle has v = 1080 m/s i^ ◄

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