document.write( "Question 1039895: Jessica stretches her arms out 0.6 m from the center of her body while holding a 2 kg mass in each hand. She then spins around on an ice rink at 1.1 m/s.
\n" ); document.write( "If she pulls her arms in to 0.15 m, what is her linear speed if the angular momentum remains constant? \n" ); document.write( "

Algebra.Com's Answer #654697 by KMST(5328) $\"\"$ $\"About$

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In question # 103894, we found that while Jessica was spinning at a constant rpm,
\n" ); document.write( "and the 2 kg masses were traveling in circles at 1.1 m/s,
\n" ); document.write( "the combined linear momentum of those masses was
\n" ); document.write( " $\"L=r%2Am%2Av%5B1%5D=2%2A%280.6m%29%2A%282kg%29%2A%28%221.1+m+%2F+s%22%29=2.64\"$ $\"m%5E2%2Akg%2Fs%0D%0A\"$ .
\n" ); document.write( "When the masses get to $\"r=0.15m\"$ distance from the center of rotation,
\n" ); document.write( "if they have the same angular moment,
\n" ); document.write( "they will have a much greater tangential velocity, $\"v%5B2%5D\"$ ,
\n" ); document.write( "with $\"L=2%2A%280.15m%29%2A%282kg%29%2Av%5B2%5D=2.64\"$ $\"m%5E2%2Akg%2Fs\"$ .
\n" ); document.write( "So, those masses will be circling at a tangential speed
\n" ); document.write( " $\"v%5B2%5D=2.64%2F%282%2A0.15%2A2%29\"$ $\"%22m+%2F+s%22=highlight%284.4%29\"$ $\"%22m+%2F+s%22\"$ .
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\n" ); document.write( "NOTE:
\n" ); document.write( "That might be realistic, because Jessica is a very small , slender girl,
\n" ); document.write( "so her small tightly centered body mass, does not contribute much to the angular momentum,
\n" ); document.write( "and those spindly arms did not have that much momentum (even when fully stretched)
\n" ); document.write( "compared to the momentum of the 2 kg masses held so far from the axis of rotation. \n" ); document.write( "

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