document.write( "Question 126006: Hi Can I have some help with this problem?\r
\n" ); document.write( "\n" ); document.write( "According to the Theory of Relativity, the length L of an object is a function of its velocity v with respect to an observer. For an object whose length at rest is 25 m, the function is given below, where c is the speed of light.
\n" ); document.write( "L(v)=25 sqrt(1-(v^2)/(c^2))\r
\n" ); document.write( "\n" ); document.write( "(a) Find L(0.5c), L(0.8c), and L(0.84c).
\n" ); document.write( "L(0.5c) =
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Algebra.Com's Answer #92357 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"L%28v%29=25+sqrt%281-%28v%5E2%29%2F%28c%5E2%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "(a) Find \"L%28+0.5c+%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"L%280.5c+%29=25+%28sqrt%281-%28%280.5c%29%5E2%29%2F%28c%5E2%29%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.5c+%29=25+%28sqrt%281-%28%280.5%5E2%28c%29%5E2%29%2F%28c%5E2%29%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.5c+%29=25+%28sqrt%281-%280.5%5E2%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.5c+%29=25+%28sqrt%281-%280.25%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.5c+%29=25+%28sqrt%28.75%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.5c+%29=25+%28.87%29+\"\r
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\n" ); document.write( "\n" ); document.write( " \"L%280.5c+%29=21.75\"\r
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\n" ); document.write( "\n" ); document.write( "b) \"L%28+0.8c+%29\":\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.8c+%29=25+%28sqrt%281-%28%280.8c+%29%5E2%29%2F%28c%5E2%29%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.8c+%29=25+%28sqrt%281-%28%280.8%5E2%28c%29%5E2%29%2F%28c%5E2%29%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.8c+%29=25+%28sqrt%281-%280.8%5E2%29%29%29+\"
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\n" ); document.write( "\n" ); document.write( "\"L%280.8c+%29=25+%28sqrt%281-%280.64%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.8c+%29=25+%28sqrt%28.36%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.8c+%29=25+%28.6%29+\"\r
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\n" ); document.write( "\n" ); document.write( " \"L%280.8c+%29=15\"\r
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\n" ); document.write( "\n" ); document.write( "c) \"L%28+0.84c%29\":\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.84c%29=25+%28sqrt%281-%28%280.84c+%29%5E2%29%2F%28c%5E2%29%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.84c%29=25+%28sqrt%281-%28%280.84+%5E2%28c%29%5E2%29%2F%28c%5E2%29%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.84c%29=25+%28sqrt%281-%280.84%5E2%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.84c%29=25+%28sqrt%281-%280.91652%29%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.84c%29=25+%28sqrt%28.08348%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"L%280.84c%29=25+%28.29%29+\"\r
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\n" ); document.write( "\n" ); document.write( " \"L%280.84c%29=7.25\"\r
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