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Question

Louise and Alexa are identical twins that have the same mass. Alexa is walking, and Louise is running at three times Alexa’s speed. How do the twins’ kinetic energies compare?SHOW LESS0

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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