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An astronaut in a small rocket vehicle combined mass 450 kg is hovering 100 m above the surface of the Moon when he discovers he is early out of fuel and can only exert the thrust necessary to

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

(a) fall 20m, turn on the thrust for 5 s, then fall the rest of the way;

(b) fall 40 m, turn on the thrust for 5" then fall the rest of the way. Which strategy gives him the best change of surviving? How much work is done by the engine's thrust in each case?

 

Jun 16 2020 View more View Less

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