document.write( "Question 181207: The weight of a body at or above the earths surface varies inversely as the square of the distance from the earths center. What does a 450 kg object weigh 500 km away for the earths surface? a 450 kg object weighs 4410 Newtons at the surface of the earth. Newton is a unit of measure for weight. Use 6500 km as the radius of the earth in your calculations.\r
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Algebra.Com's Answer #135880 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
>>...weight...varies inversely as the
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document.write( "That says:\r\n" );
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document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+k%2Fd%5E2%29\"\r\n" );
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document.write( ">>...a 450 kg object weighs 4410 Newtons \r\n" );
document.write( "at the surface of the earth...<<\r\n" );
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document.write( "On the surface of the earth the distance d \r\n" );
document.write( "to the center of the earth is 6500 km, so\r\n" );
document.write( "when d = 6500, then W = 4410. We substitute\r\n" );
document.write( "that in the equation:\r\n" );
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document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+k%2Fd%5E2%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C4410%2C+%22=%22%2C+k%2F6500%5E2%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C4410%2C+%22=%22%2C+k%2F42250000%29\"\r\n" );
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document.write( "Now we can solve for k. So we multiply both \r\n" );
document.write( "sides by \"42250000\".\r\n" );
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document.write( "\"matrix%281%2C3%2C4410%2A42250000%2C%22=%22%2Ck%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C186322500000%2C%22=%22%2C+k%29\"\r\n" );
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document.write( "So we substitute \"186322500000\" for \"k\" in\r\n" );
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document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+k%2Fd%5E2%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+186322500000%2Fd%5E2%29\"\r\n" );
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document.write( "Now we read the question:\r\n" );
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\n" ); document.write( ">>...What does a 450 kg object weigh 500 km
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document.write( "Since it's 500 km above the earth and it's 6500 km \r\n" );
document.write( "from the surface down to center of the earth, \r\n" );
document.write( "then the object is 500+6500 or 7000 km from \r\n" );
document.write( "the center of the earth.  So when d = 7000km,\r\n" );
document.write( "we want to know what W is when d is 7000.\r\n" );
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document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+186322500000%2Fd%5E2%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C4410%2C+%22=%22%2C+186322500000%2F7000%5E2%29\" \r\n" );
document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+186322500000%2F7000%5E2%29\"\r\n" );
document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+186322500000%2F49000000%29\"\r\n" );
document.write( "\"matrix%281%2C3%2CW%2C+%22=%22%2C+3802.5%29\"\r\n" );
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document.write( "So it weighs 3802.5 Newtons.\r\n" );
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document.write( "Edwin
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