Weight of an Astronaut Between Two Stars - Newton's Laws of Motion Explained

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SUMMARY

The discussion centers on the concept of weightlessness experienced by an astronaut positioned at the midpoint between two stars of equal mass, as explained through Newton's laws of motion. The astronaut is indeed weightless due to the equal gravitational forces acting in opposite directions, resulting in a net force of zero. This scenario highlights that weightlessness occurs not solely due to the absence of gravity but rather from the balance of forces. Additionally, the question of whether an astronaut in orbit around a single star experiences weightlessness is raised, emphasizing the complexities of gravitational acceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of gravitational forces
  • Familiarity with the concept of weight and mass
  • Concept of orbital mechanics
NEXT STEPS
  • Study the implications of Newton's laws of motion in various gravitational fields
  • Explore the concept of weightlessness in different orbital scenarios
  • Learn about gravitational acceleration and its effects on objects in space
  • Investigate the principles of equilibrium in gravitational systems
USEFUL FOR

Students of physics, educators explaining gravitational concepts, and anyone interested in the dynamics of motion in space will benefit from this discussion.

trulyfalse
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I'm back again, this time regarding questions relating to Newton's laws of motion. :)

Homework Statement


Imagine an astronaut in space at the midpoint between two stars of equal mass. If all other objects are infinitely far away, how much does the astronaut weigh? Explain your answer.

The Attempt at a Solution


I'm not sure how to answer this, my initial thought was weightless, because equal forces of gravity are acting in opposite directions.
 
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He would be weightless, yes, but not for the reason you mention.

If you think about weight of an object as how much force is applied to the surface of this object (i.e. how much force an astronaut feels on his feet when standing), then under what circumstances would there always be weightlessness? Would an astronaut in orbit around a single star be weightless despite that he is accelerated by gravity?
 
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