document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189966>Question 1189966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The force of attraction, F of a body varies directly as its mass m and inversely as the square of the distance d from the body. When m = 8 kilograms and d = 5 meters, F = 100 Newtons. Find F when = 2 kilograms and d = 15 meters<BR>\n" );
document.write( "please show your solution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821491 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The mass is 1/4 as much; since the force of attraction varies directly as the mass, it goes down by a factor of 1/4.<br><BR>\n" );
document.write( "The distance is 3 times as great; since the force varies inversely as the square of the distance, it goes down by a factor of 1/3^2 = 1/9.<br><BR>\n" );
document.write( "ANSWER: (100)(1/4)(1/9) = 100/36 = 25/9 Newtons<br><BR>\n" );
document.write( "Formally....<br><BR>\n" );
document.write( "(1) Find the constant of variation using the known data<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=k%28m%2Fd%5E2%29 ALIGN=MIDDLE  ALT=\"F=k%28m%2Fd%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=100=k%288%2F25%29 ALIGN=MIDDLE  ALT=\"100=k%288%2F25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=100%2825%2F8%29=2500%2F8=625%2F2 ALIGN=MIDDLE  ALT=\"k=100%2825%2F8%29=2500%2F8=625%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) Use the constant with the new data<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=%28625%2F2%29%282%2F%2815%5E2%29%29+=+%28625%2F2%29%282%2F225%29=625%2F225=25%2F9 ALIGN=MIDDLE  ALT=\"F=%28625%2F2%29%282%2F%2815%5E2%29%29+=+%28625%2F2%29%282%2F225%29=625%2F225=25%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER (the same, of course): 25/9 Newtons<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );