document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78467>Question 78467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve 1 second period?<BR>\n" );
document.write( "a. 1 foot<BR>\n" );
document.write( "b. 1.5 foot<BR>\n" );
document.write( "c. 2 feet<BR>\n" );
document.write( "d. 3 feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56275 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=k%2Asqrt%28L%29 ALIGN=MIDDLE  ALT=\"T=k%2Asqrt%28L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \"The period of a simple pendulum is directly proportional to the square root of its length\"\r<BR>\n" );
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document.write( "Substitute L=6 and T=2 and solve for k\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=k%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"2=k%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fsqrt%286%29=k%2Across%28sqrt%286%29%2Fsqrt%286%29%29 ALIGN=MIDDLE  ALT=\"2%2Fsqrt%286%29=k%2Across%28sqrt%286%29%2Fsqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our constant is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=2%2Fsqrt%286%29 ALIGN=MIDDLE  ALT=\"k=2%2Fsqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now the equation becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=2%2Fsqrt%286%29%2Asqrt%28L%29 ALIGN=MIDDLE  ALT=\"T=2%2Fsqrt%286%29%2Asqrt%28L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in T=1 to solve for L\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=2%2Fsqrt%286%29%2Asqrt%28L%29 ALIGN=MIDDLE  ALT=\"1=2%2Fsqrt%286%29%2Asqrt%28L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%282%2Fsqrt%286%29%29=sqrt%28L%29 ALIGN=MIDDLE  ALT=\"1%2F%282%2Fsqrt%286%29%29=sqrt%28L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fsqrt%286%29 ALIGN=MIDDLE  ALT=\"2%2Fsqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29%2F2=sqrt%28L%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29%2F2=sqrt%28L%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%2F2%29%5E2=%28sqrt%28L%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%2F2%29%5E2=%28sqrt%28L%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4=L ALIGN=MIDDLE  ALT=\"6%2F4=L\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3%2F2 ALIGN=MIDDLE  ALT=\"L=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduce\r<BR>\n" );
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document.write( "So our length must be 1.5 feet to have a period of 1 second.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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