Law of Gravitation: Calculate Astronaut Weight 6.37 × 106 m Above Earth

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SUMMARY

The discussion focuses on calculating the weight of an astronaut 6.37 × 106 meters above Earth's surface, given their weight of 8.00 × 102 Newtons on the surface. The relevant formula is Newton's law of gravitation, expressed as Gm1m2/r2, which indicates that gravitational force decreases with the square of the distance from the center of the Earth. Participants clarified the importance of correctly applying this formula to determine the astronaut's weight at the specified altitude.

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Homework Statement



An astronaut weighs 8.00 × 102 Newtons on the
surface of Earth. What is the weight of the
astronaut 6.37 × 106 meters above the surface of
Earth?
(1) 0.00 N (3) 1.60 × 103 N
(2) 2.00 × 102N (4) 3.20 × 103 N

Homework Equations


Gm1m2/r^2


The Attempt at a Solution


When I used my calculator it gave a completely different answer... am guessing I used the wrong formula, which should I use?
 
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Thats the correct formula but I suspect you are using it wrongly.
The r^2 says that the force decreases as the square of the distance from the centre of the earth

What are the distances in the two cases?
 

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