document.write( "Question 1032109: The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 222 pounds on the surface of the Earth, what will this astronaut weigh 200 miles above the Earth? Assume that the radius of the Earth is 4000 miles. (Round off your answer to the nearest pound.) \n" ); document.write( "
Algebra.Com's Answer #646762 by robertb(5830)\"\" \"About 
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The working equation would be \"F+=+k%2Fd%5E2\", for some undetermined constant.\r
\n" ); document.write( "\n" ); document.write( "To find k, We substitute the initial conditions in to the working equation:\r
\n" ); document.write( "\n" ); document.write( "\"222+=+k%2F4000%5E2\" ==> \"k+=+3.552+%2A+10%5E9\" lb-mi^2.\r
\n" ); document.write( "\n" ); document.write( "==> \"F+=+%283.552+%2A+10%5E9%29%2Fd%5E2\"\r
\n" ); document.write( "\n" ); document.write( "==> \"F+=+%283.552+%2A+10%5E9%29%2F4200%5E2+=+201.36\" pounds, or 201 pounds to the nearest pound.
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