Problem

An astronaut in a small rocket vehicle (combined mass = 450 kg) k hovering 100 m above the...

An astronaut in a small rocket vehicle (combined mass = 450 kg) k hovering 100 m above the surface of the moon when lie discovers that he is nearly out of fuel and can exert the thrust necessary to cause the vehicle to hover for only 5 more seconds. He quickly considers two strategies for getting to the surface:

(a) Fall 20 m. turn on the thrust for 5 s. and then fall the rest of the way


(b) fall 40 m, turn on the thrust for 5 s. and then fall the rest of the way. Which strategy gives him the best chance of surviving? How much work is done by the engine’s thrust in each case? (gmoon = 1.62 m/s2.)

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