document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043708>Question 1043708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Due to the work of Albert Einstein and other physicists who labored on space-time relationships, it is<BR>\n" );
document.write( "known that the faster an object moves the shorter it appears to become. This phenomenon is modeled by the<BR>\n" );
document.write( "Lorenz Transformation where L0\r<BR>\n" );
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document.write( "is the length of the object at rest,<BR>\n" );
document.write( "L<BR>\n" );
document.write( "is the relative length when the object is moving at velocity<BR>\n" );
document.write( "v<BR>\n" );
document.write( ", and<BR>\n" );
document.write( "c<BR>\n" );
document.write( "is the speed of light. Factor the radicand and use the result to determine the relative length of a domestic shorthair<BR>\n" );
document.write( "cat of length 18 inches if it is shot past a stationary observer at 0.75 times the speed of light. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658861 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length contraction (L) is calculated from the following formula<BR>\n" );
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document.write( "L = Lo / ( 1 / square root(1 - (v^2 / c^2)) ) where c is the speed of light<BR>\n" );
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document.write( "L = 1.5 / ( 1 / square root( 1 - ((7.37e8)^2 / (9.82e8)^2) )<BR>\n" );
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document.write( "note that Lo = 18 inches = 1.5 feet,<BR>\n" );
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document.write( "c = 186,000 miles per second =<BR>\n" );
document.write( "186000 times 5280 (feet in a mile) = 9.82e8 feet per second,<BR>\n" );
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document.write( "(3/4) times 9.82e8 =  7.37e8 feet per second<BR>\n" );
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document.write( "L = 1.5 / (1 / square root (1 - 0.5625)) = 1.5 / (1 / 0.6614) = 0.9921 foot<BR>\n" );
document.write( "The relativistic length of the cat is approx 0.9921 foot or 11.9 inches<BR>\n" );
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document.write( " </SPAN>\n" );
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