Question 1032109
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From the condition, you have this proportion:

{{{W[2]/W[1]}}} = {{{R^2/(R+h)^2}}},

where {{{W[1]}}} = 222 pounds is the astronaut weight on the surface of the Earth and {{{W[2]}}} is the astronaut weight 200 miles above the Earth.

Substitute your data into the proportion. You will get

{{{W[2]/222}}} = {{{4000^2/(4000+200)^2}}}.


Hence,

{{{W[2]}}} = {{{222*(4000/4200)^2}}} = 201.36 pounds.
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