document.write( "Question 1057839: A 6100 kg rocket is set for vertical firing. If the exhaust speed is 1300 m/s, at what rate (in kilograms/second) must the gas be ejected to supply the thrust needed to give the rocket an initial upward acceleration of 24.0 m/s^2? \n" ); document.write( "

Algebra.Com's Answer #672962 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "A 6100 kg rocket is set for vertical firing. If the exhaust speed is 1300 m/s, at what rate (in kilograms/second)
\n" ); document.write( "must the gas be ejected to supply the thrust needed to give the rocket an initial upward acceleration of 24.0 m/s^2?
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document.write( "To give the rocket an initial upward acceleration of 24.0 m/s^2, the force\r\n" );
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document.write( " = ma = 6100 kg * 24 m/s^2   (Newton's second law)\r\n" );
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document.write( "must be applied. (The lower index  stands for rocket).\r\n" );
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document.write( "This force is produced by the exhausting (ejecting) gases in accordance with the formula\r\n" );
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document.write( " = r*v = r kg/s * 1300 m/s\r\n" );
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document.write( "where \"v\"  is the gases ejecting speed, \"r\" is the mass rate of the gases and the lower index  stands for gases.\r\n" );
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document.write( "So, your equation is   = ,  or, which is the same, \r\n" );
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document.write( "6100*24 = r*1300.\r\n" );
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document.write( "Solve it for the unknown \"r\" and get the answer.\r\n" );
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