Astronaut and Satellite Separation Speeds

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SUMMARY

The discussion focuses on the physics of astronaut and satellite separation speeds, specifically analyzing the forces exerted during the push-off. An astronaut with a mass of 74 kg pushes off a satellite of mass 420 kg with a force of 120 N for 0.82 seconds. The correct approach involves calculating the acceleration of the astronaut using the formula F=ma, leading to a final velocity of approximately 8.14 m/s for the astronaut. The weight of the astronaut is irrelevant in this context as they are in a microgravity environment.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic knowledge of force and acceleration concepts
  • Familiarity with mass and weight distinctions in microgravity
  • Ability to perform calculations involving time, force, and mass
NEXT STEPS
  • Study the effects of force application in microgravity environments
  • Learn about momentum conservation principles in space physics
  • Explore the relationship between force, mass, and acceleration in different contexts
  • Investigate real-world applications of astronaut propulsion techniques
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the dynamics of space travel and astronaut movements.

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Homework Statement



An astronaut of mass 74 kg pushes off a satellite of mass 420 kg, exerting a force of 120 N for the 0.82 s they are in contact.

Homework Equations



What is the speed of the astronaut after they have separated?
What is the speed of the satellite after they have separated?

The Attempt at a Solution



The astronaut's weight is -726 N. If he were to push with 120 N, the combined forces would equal -734.8 N. Therefore, from F=ma, acceleration would be -9.93 m/s/s and veloctiy (-9.93=v/.82) would equal -8.14 m/s. However, that is not the correct answer. I have a feeling something in my initial set up is wrong. Any ideas?
 
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The astronaut's weight has nothing to do with it (he's in space!). You only need to consider the masses. I don't get where you got the -734.8 N from. There is only the one force acting. Other than that, I think you are on the right track.
 
Last edited:
How much does 120N make 74kg accelerate? Thats all you need to consider to get the accelaration of the astronaut.
 
Alright! I got it! Thank you so much for your help.
 

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