document.write( "Question 83017: 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 shorten to achieve a 1 second period? The answer is multiple choice.\r
\n" ); document.write( "\n" ); document.write( "a. 1 foot
\n" ); document.write( "b. 1.5 feet
\n" ); document.write( "c. 2 feet
\n" ); document.write( "d. 3 feet
\n" ); document.write( "

Algebra.Com's Answer #59564 by josmiceli(19441)\"\" \"About 
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(b) 1.5 ft
\n" ); document.write( "p = period
\n" ); document.write( "s = length in ft
\n" ); document.write( "k = constant of proportionality
\n" ); document.write( "\"p+=+k%2Asqrt%28s%29\"
\n" ); document.write( "\"k+=+p%2Fsqrt%28s%29\"
\n" ); document.write( "\"k+=+2%2Fsqrt%286%29\"
\n" ); document.write( "p = 1 sec
\n" ); document.write( "\"1+=+k%2Asqrt%28s%29\"
\n" ); document.write( "\"1+=+%282%2Fsqrt%286%29%29%2Asqrt%28s%29\"
\n" ); document.write( "\"sqrt%28s%29+=+sqrt%286%29+%2F+2\"
\n" ); document.write( "square both sides
\n" ); document.write( "\"s+=+6+%2F+4\"
\n" ); document.write( "\"s+=+3%2F2\"
\n" ); document.write( "length for a 1 sec period is 1.5 ft answer
\n" ); document.write( "
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