A 92-kg astronaut and a 2000-kg satellite are at rest relative to a space station. the astronaut pushes on the satellite, giving it a speed of 0.14 m/s directly away from the station. seven and a half seconds later the astronaut comes into contact with the station. part a what was the initial distance from the station to the astronaut?

Question

Physics

Obie

31 March, 07:58

A 92-kg astronaut and a 2000-kg satellite are at rest relative to a space station. the astronaut pushes on the satellite, giving it a speed of 0.14 m/s directly away from the station. seven and a half seconds later the astronaut comes into contact with the station. part a what was the initial distance from the station to the astronaut?

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Emery Oconnor · Answer 1

Momentum is conserved.

Momentum of the satellite is 1600*0.14=224 kg-m/sec

Resulting momentum of the astronaut will be equal - - hence

86*v=224 or the velocity of the astronaut is 2.60 m/sec

In 7.5 seconds the astronaut would travel 19.53 meters