document.write( "Question 1119884: A ball is dropped from a height of 20.0 ft. above the ground
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document.write( " At what height will one half of its energy be kinetic and one half potential?
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document.write( " Using only energy considerations, what is the velocity of the ball just as it strikes the ground?
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Algebra.Com's Answer #735526 by ikleyn(52847)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A ball is dropped from a height of 20.0 ft. above the ground \n" ); document.write( "(a) At what height will one half of its energy be kinetic and one half potential? \n" ); document.write( "(b) Using only energy considerations, what is the velocity of the ball just as it strikes the ground? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~`\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a) At what height will one half of its energy be kinetic and one half potential?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " The initial potential energy was P = m*g*h, \r\n" ); document.write( "\r\n" ); document.write( " where m is the mass, g = 32 ft/s^2 is the gravity acceleration and h = 20 ft.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " When the falling body reaches the height of 10 meters above the ground, its potential energy will be half\r\n" ); document.write( "\r\n" ); document.write( " of the original potential energy.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " The other half of the initial potential energy will transform to the kinetic energy of the falling body.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Hence, at the the height of 10 meters above the ground, the body will have equal amounts of its potential and kinetic energy.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " It gives the Answer to the problem question:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " At the height of 10 meters above the ground, the body will have equal amounts of potential and kinetic energy.\r\n" ); document.write( "\r\n" ); document.write( " Its total energy remains the same, but now the half of the energy is potential, while the another half is kinetic.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(b) Using only energy considerations, what is the velocity of the ball just as it strikes the ground?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |