document.write( "Question 436178: 12 m/sThe energy, E, released when an object is stopped varies directly as the square of its velocity, v. If an object releases 600kj of energy when stopped from a velocity of 5m/s. How much energy is released when it is stopped from a speed of 12m/s? \n" ); document.write( "
Algebra.Com's Answer #301800 by htmentor(1343)\"\" \"About 
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Since the energy varies directly as the square of the velocity, we can write:
\n" ); document.write( "E = kv^2
\n" ); document.write( "where k is a constant
\n" ); document.write( "Given: 600 kJ released when v = 5 m/s.
\n" ); document.write( "Use this information to find k:
\n" ); document.write( "600 kJ = k(5 m/s)^2
\n" ); document.write( "k = 600/25 = 24 kJ*s^2/m^2
\n" ); document.write( "So, the energy released when v = 12 m/s is:
\n" ); document.write( "E = 24(12)^2 = 3456 kJ
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