A 92kg astronaut and a 1200kg satellite are at rest relativeto the space shuttle

Question

A 92kg astronaut and a 1200kg satellite are at rest relativeto the space shuttle. the astronaut pushes on the satellite,giving it a speed of 0.14m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contactwith the shuttle. What was the initial distance from thesuttle to the astronaut? A 92kg astronaut and a 1200kg satellite are at rest relativeto the space shuttle. the astronaut pushes on the satellite,giving it a speed of 0.14m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contactwith the shuttle. What was the initial distance from thesuttle to the astronaut?

Explanation / Answer

Step 1 is to find the initial velocity of the astronaut. Thiscan be calculated by conservation of momentum. assuming neither were moving initially. 1200kg(0.14m/s)=92kg(Va) Velocity of the astronaut equals 18.2608m/s dx=vot+1/2at^2 there is no acceleration therefore dx=vot dx we need to find time is 7.5s so dx=18.2608m/s(7.5s) initial total distance equals 136.9565m

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