An astronaut wants to travel from a space station to a satellite S that needs repair She d...

An astronaut wants to travel from a space station to a satellite S that needs repair She departs the space station at O A spring-loaded launching device gives her maneuvering unit an initial velocity of 1 m/s (relative to the space station) in the y direction. At that instant, the position of the satellite is x = 70 m, y = 50 m, z = 0, and it is drifting at 2 m/s (relative to the station) in the x direction. The astronaut intercepts the satellite by applying a constant thrust parallel to the x axis. The total mass of the astronaut and her maneuvering unit is 300 kg.

(a) How long does it take the astronaut to reach the satellite?

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(b) What is the magnitude of the thrust she must apply to make the intercept?

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(c) What is the astronaut’s velocity relative to the satellite when she reaches it?