Can i please get a little help on this problem i dont think i did it right.

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Homework Help Overview

The problem involves calculating the force of gravity at a height of 500 kilometers above Earth's surface and determining the g-force experienced by astronauts. The context is centered around gravitational equations and their application to different celestial bodies.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a gravitational formula to find the g-force at a specific altitude, but expresses uncertainty about their calculations. Some participants provide clarification on the formula used for gravity, while others question whether the final answer should be expressed in g's.

Discussion Status

The discussion includes attempts to clarify the calculations and the appropriate units for the answer. There is acknowledgment of the formula used, but no consensus on the correctness of the original poster's result or the unit of measurement.

Contextual Notes

Participants are navigating the implications of using different units for gravitational force and the potential for applying the formula to other planets, which introduces additional considerations about assumptions related to radius and surface gravity.

davo
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So, how much weaker is the force of gravity at 500 kilometers above Earth's surface? Calculate how much of a g force the astronauts are actually experiencing. This equation can be modified for any other planet by replacing using the planet's radius and its surface gravity (how many g's).

this is the problem

The equation they gave me was:
gr=R(squared)/r(squared) X(times) g

I got:
gr=(6378.1km(squared)/6878.1km(squared) X(times) 9.8m/sec/sec)=9.0875939576336488274378098602812m/sec/sec

Did i get it right? I really don't think I did.
 
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You are right.
It comes from the formula: g=G.M/R^2.
 
Thanks
 
Shouldnt the answer be in g's? Thats what really throughs me off.
 

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