If L represents angular momentum, I represents moment of inertia, p represents linear momentum, m represents mass, and r represents a distance, which of the following can represent kinetic energy? A) p²/2m B) L²/2I C) rpI D) all of the above E) both (a) and (b)

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Quizplus · Accepted Answer

Kinetic energy can be represented in two forms: translational and rotational. For translational kinetic energy, the formula is $ \frac{p^2}{2m} $, where $ p $ is the linear momentum and $ m $ is the mass. For rotational kinetic energy, the formula is $ \frac{L^2}{2I} $, where $ L $ is the angular momentum and $ I $ is the moment of inertia. Both options A and B correctly represent these forms of kinetic energy, making E the correct choice. Option C does not represent a form of kinetic energy.

If L Represents Angular Momentum, I Represents Moment of Inertia