document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002126>Question 1002126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A load of 6kg stretches a coil spring to a length of 30cm, and a load of 10kg stretches it to a length of 40cm. Find the length of the spring when there is no load. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619111 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the spring when there is no load, in cm.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-x ALIGN=MIDDLE  ALT=\"30-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= stretching of the spring with a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6kg ALIGN=MIDDLE  ALT=\"6kg\"   DISABLED_style= \"max-width:90%; height:auto;\" > load, in cm.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40-x ALIGN=MIDDLE  ALT=\"40-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= stretching of the spring with a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10kg ALIGN=MIDDLE  ALT=\"10kg\"   DISABLED_style= \"max-width:90%; height:auto;\" > load, in cm.<BR>\n" );
document.write( "A very high load, will forever deform, or even break a spring.<BR>\n" );
document.write( "However, with reasonable loads, the stretching of a spring is proportional to the load applied, applied, and vice versa.<BR>\n" );
document.write( "In equation form, that proportional relation is:<BR>\n" );
document.write( "Load in kg = K(strecthing in cm) ,<BR>\n" );
document.write( "where K is a constant, i kg/cm.<BR>\n" );
document.write( "Without writing the units, the data we are given shows<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=K%2830-x%29 ALIGN=MIDDLE  ALT=\"6=K%2830-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=K%2840-x%29 ALIGN=MIDDLE  ALT=\"10=K%2840-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "dividing one equation by the other, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10=K%2830-x%29%2F%28K%2840-x%29%29 ALIGN=MIDDLE  ALT=\"6%2F10=K%2830-x%29%2F%28K%2840-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10=%2830-x%29%2F%2840-x%29 ALIGN=MIDDLE  ALT=\"6%2F10=%2830-x%29%2F%2840-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2840-x%29=10%2830-x%29 ALIGN=MIDDLE  ALT=\"6%2840-x%29=10%2830-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240-6x=300-10x ALIGN=MIDDLE  ALT=\"240-6x=300-10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-6x=300-240+ ALIGN=MIDDLE  ALT=\"10x-6x=300-240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=60+ ALIGN=MIDDLE  ALT=\"4x=60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=60%2F4 ALIGN=MIDDLE  ALT=\"x=60%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=15 ALIGN=MIDDLE  ALT=\"x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The length of the spring when there is no load is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2815cm%29 ALIGN=MIDDLE  ALT=\"highlight%2815cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );