document.write( "Question 1034274: When an object moves in a circular path, the centripetal force F varies directly as the square of the velocity v and inversely as the radius r of the circle. If F=200 when v=6 and r=5, find F when v=4 and r=8.\r
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Algebra.Com's Answer #648900 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "When an object moves in a circular path, the centripetal force F varies directly as the square of the velocity v and
\n" ); document.write( "inversely as the radius r of the circle.
\n" ); document.write( "If F=200 when v=6 and r=5, find F when v=4 and r=8.
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document.write( "First statement is translated as \r\n" );
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document.write( "F =          (1)\r\n" );
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document.write( "with the constant k.\r\n" );
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document.write( "Next statement \". . . F=200 when v=6 and r=5\" is translated as \r\n" );
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document.write( "200 = .      (2)  \r\n" );
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document.write( "(simply plug in your  data into the formula (1)). Simplify (2) to get\r\n" );
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document.write( "200 =   and then obtain  k =  = .\r\n" );
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document.write( "Now \"find F when v=4 and r=8.\"\r\n" );
document.write( "Use the formula (1) and the value k = :\r\n" );
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document.write( "F =  =  = 34.72.\r\n" );
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