Gravity earth's radius question

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The discussion revolves around calculating the force of gravity on an astronaut at a distance of 10 times the Earth's radius. The gravitational force formula used is F = Gm1m2/r^2. The initial force of gravity at the Earth's surface is given as 600N, leading to a calculation of 4.96N at the specified distance. There is clarification that the distance is measured from the center of the Earth, not the surface. The conclusion emphasizes the importance of understanding the correct reference point in gravitational calculations.
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Homework Statement


The force of gravity on an astronaut is 600N at the Earth's surface. what is the force of gravity acting on him at a distance of 10 times the Earth's radius?



Homework Equations


F = Fm1m2/r^2


The Attempt at a Solution


F = Gm1m2/r^2
F = 600/11r^2
F = 4.96N

11r because its measured from the surface of the earth
 
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I think it means at a distance of 10 times R from the centre of the Earth. (not from the surface)
 
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