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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |