H2-3/4h - Gauthmath
Question
Solution
Louise's kinetic energy is 4.5 times greater than Alexa's kinetic energy.
Step 1: Let the mass of both twins be represented by 'm'. Step 2: The kinetic energy (KE) of an object is given by the formula KE = 0.5 * mass * velocity^2. Step 3: Let the velocity of Alexa be 'v', then the velocity of Louise is '3v'. Step 4: The kinetic energy of Alexa (KE_Alexa) = 0.5 * m * v^2. Step 5: The kinetic energy of Louise (KE_Louise) = 0.5 * m * (3v)^2 = 0.5 * m * 9v^2 = 4.5 * m * v^2. Step 6: Therefore, the ratio of Louise's kinetic energy to Alexa's kinetic energy is 4.5 : 1.
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