0 of 28 Concepts completed Due in less than 8 houns Multiple Choice Question An electron is moving with uniform circular motion around a circle of radius 6 cm , its initial rotational kinetic energy is 24 . J. If its (Iransiational) speed doubled and it kept moving around the same circle, then how much rotational kinetic energy would it have? 24 J 48 J 96J Need help? Review these concept resources. (1) Rend About the Concept
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When the speed of an object in circular motion doubles, its rotational kinetic energy increases by a factor of four! Since kinetic energy is proportional to the square of the speed (KE = 0.5 * m * v²), if you double the velocity (v becomes 2v), the new kinetic energy becomes 0.5 * m * (2v)² = 0.5 * m * 4v² = 4 * (0.5 * m * v²). So, if the initial rotational kinetic energy was 24 J, the new rotational kinetic energy will be 96 J! Now, imagine this electron zooming around like a rollercoaster rider suddenly getting a turbo boost! Just like that thrill ride gets faster, the kinetic energy skyrockets! So, next time you think about motion, remember: speed up, and your energy will take you even higher!