document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102105>Question 102105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The gravitational force between two objects varies inversely as the square of the distance between the objects.  If a force of 25 pounds results from two objects that are 6 miles apart, how much force results from two objects that are 15 miles apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74199 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The gravitational force between two objects varies inversely as the square of the distance between the objects.  If a force of 25 pounds results from two objects that are 6 miles apart, how much force results from two objects that are 15 miles apart?\r<BR>\n" );
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document.write( "The force varies inversely as the square of the distance or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bg%5D=k%2Fr%5E2 ALIGN=MIDDLE  ALT=\"F%5Bg%5D=k%2Fr%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where k is a constant or re-arranged <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bg%5D%2Ar%5E2+=+k ALIGN=MIDDLE  ALT=\"F%5Bg%5D%2Ar%5E2+=+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set up a ratio :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B1%5D%2A%28d%5B1%5D%29%5E2=F%5B2%5D%2A%28d%5B2%5D%29%5E2 ALIGN=MIDDLE  ALT=\"F%5B1%5D%2A%28d%5B1%5D%29%5E2=F%5B2%5D%2A%28d%5B2%5D%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A6%5E2=F%5B2%5D%2A15%5E2 ALIGN=MIDDLE  ALT=\"25%2A6%5E2=F%5B2%5D%2A15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in what you know. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A6%5E2%2F%2815%5E2%29=F%5B2%5D%2Across%2815%5E2%29%2Fcross%2815%5E2%29 ALIGN=MIDDLE  ALT=\"25%2A6%5E2%2F%2815%5E2%29=F%5B2%5D%2Across%2815%5E2%29%2Fcross%2815%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply by multiplicative inverse of (15^2) or 1/(15^2).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B2%5D=5%5E2%2A%282%2A3%29%5E2%2F%283%2A5%29%5E2%29 ALIGN=MIDDLE  ALT=\"F%5B2%5D=5%5E2%2A%282%2A3%29%5E2%2F%283%2A5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B2%5D=cross%285%5E2%29%2A%282%2Across%283%29%29%5E2%2F%28cross%283%29%2Across%285%29%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5B2%5D=4 ALIGN=MIDDLE  ALT=\"F%5B2%5D=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Final answer, F = 4 lbs. <BR>\n" );
document.write( " </SPAN>\n" );
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