How Is an Astronaut's Apparent Weight Calculated in Space?

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SUMMARY

The apparent weight of a 75 kg astronaut 2500 km from the center of the Moon can be calculated using Newton's law of universal gravitation, represented by the equation F=Gm1m2/r^2. In the case of constant velocity, the astronaut experiences weightlessness, resulting in an apparent weight of zero. When accelerating towards the Moon at 2.3 m/s², the astronaut's apparent weight is calculated using F=mg, yielding a force that reflects the acceleration due to gravity combined with the spacecraft's acceleration.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with the concept of apparent weight
  • Knowledge of basic physics equations, specifically F=ma
  • Concept of gravitational force in different celestial environments
NEXT STEPS
  • Research the effects of microgravity on human physiology
  • Learn about gravitational forces on different celestial bodies
  • Explore the physics of acceleration in space vehicles
  • Study the principles of weightlessness and its implications for astronauts
USEFUL FOR

Students studying physics, educators teaching gravitational concepts, and anyone interested in the mechanics of space travel and astronaut experiences.

drewdiddy
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Homework Statement


What is the apparent weight of a 75 kg astronaut 2500 km from the center of the Moon in a space vehicle (a) moving at constant velocity and (b) accelerating towards the moon at 2.3 m/s^2. State direction in each case.


Homework Equations



F=Gm1m2/r^2 and F=mg


The Attempt at a Solution



I solved part a and figure it out. Setting up b is what's giving me troubles. Should this be set up like an elevator/weightless problem or what? I'm uber confused.
 
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Disregard.. Figured it out.
 

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