document.write( "Question 419726: Hello\r
\n" ); document.write( "\n" ); document.write( "I'm really not sure if \"Travel and Distance\" is the correct section; but I hope I haven't thrown your off by choosing that. My instructor spent most of the class trying to explain the concept of these type problems this evening; but no one understood it. As for me, I couldn't get a clue. Anyway, here is my problem (it's three-fold):\r
\n" ); document.write( "\n" ); document.write( "The force of gravity between any two objects varies jointly with the masses of the objects A and B, and inversely with the square of the distance D between the object.\r
\n" ); document.write( "\n" ); document.write( "a) Write the variation equation\r
\n" ); document.write( "\n" ); document.write( "b) If the force of gravity bween a 105 kg. man and his 80 kg wife when they are separated by a distance of 5 meters is 2.24112X10^-8 (the -8 is an exponent)newtons, find the variation constant.\r
\n" ); document.write( "\n" ); document.write( "c) Find the force of gravity between the man and his wife when they are 2 meters apart.\r
\n" ); document.write( "\n" ); document.write( "The rest of my assignment I can solve except for this one. Please help me as soon as possible. Next week Tuesday, we have a quiz.\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance,\r
\n" ); document.write( "\n" ); document.write( "Lynn J. Tilmon\r
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Algebra.Com's Answer #293450 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
a) Write the variation equation
\n" ); document.write( "g = \"%28km%29%2Fd%5E2\"
\n" ); document.write( "Where
\n" ); document.write( "g = force of gravity
\n" ); document.write( "k = constant of variation
\n" ); document.write( "m = mass, (the more mass the more gravitational force between them)
\n" ); document.write( "d = distance (the more distance, the less the gravitational force between them)
\n" ); document.write( ":
\n" ); document.write( "b) If the force of gravity between a 105 kg. man and his 80 kg wife when they are separated by a distance of 5 meters is 2.24112X10^-8 (the -8 is an exponent)newtons, find the variation constant.\r
\n" ); document.write( "\n" ); document.write( "\"%28105%2A80%2Ak%29%2F5%5E2\" = 2.24112(10^-8); (we use the product of the masses)
\n" ); document.write( "\"%288400k%29%2F25\" = 2.24112(10^-8)
\n" ); document.write( "336k = 2.24112(10^-8)
\n" ); document.write( "k = \"%282.24112%2810%5E-8%29%29%2F336\"
\n" ); document.write( "k = 6.67*(10^-11) Newtons, this is the gravitational constant (G)
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\n" ); document.write( "c) Find the force of gravity between the man and his wife when they are 2 meters apart.
\n" ); document.write( "g = \"%28105%2A80%2A6.67%2810%5E-11%29%29%2F2%5E2\"
\n" ); document.write( "g = \"5.6028%2810%5E-7%29%2F4\"
\n" ); document.write( "g = 1.4007(10^-7) Newtons
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