Weight of Satellite around earth

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SUMMARY

A satellite with a weight of 5000 N on the ground experiences a significant change in weight when placed in orbit 500 km above the Earth's surface. The correct answer to its weight in orbit is "Very small but slightly greater than zero," due to the effects of gravitational force diminishing with distance. The relevant equation for calculating weight in orbit is W=G(Me m/r^2), where G is the gravitational constant, Me is the mass of the Earth, m is the mass of the satellite, and r is the distance from the center of the Earth. This highlights the concept of weightlessness experienced in freefall conditions, such as aboard the International Space Station (ISS).

PREREQUISITES
  • Understanding of gravitational force and its equation W=G(Me m/r^2)
  • Knowledge of Earth's radius and orbital mechanics
  • Familiarity with the concept of weightlessness in freefall
  • Basic physics principles related to mass and weight
NEXT STEPS
  • Research the effects of altitude on gravitational force
  • Learn about the physics of freefall and weightlessness in orbit
  • Explore the concept of orbital mechanics and satellite dynamics
  • Study the gravitational constant and its applications in physics
USEFUL FOR

Students studying physics, aerospace engineers, and anyone interested in understanding the principles of satellite dynamics and gravitational effects in space.

layla2525
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Homework Statement



A satellite sitting on the ground has a weight of 5000 N. When it is placed in orbit 500 km above the surface of the Earth (which has a radius of 6380 km), which choice best describes its weight?

Very small but slightly greater than zero.

Zero.

Still 5000 N.

Slightly less than 5000 N.

Homework Equations





The Attempt at a Solution



Do I use the equation W=G(Me m/ r^2)
 
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layla2525 said:

The Attempt at a Solution



Do I use the equation W=G(Me m/ r^2)

Yes!
 
Ah, but how much do you weigh when you're in freefall?
In other words, imagine weighing yourself in the ISS. What would the spring scale read?
 

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