A particle in simple harmonic motion while passing through mean position will haveSelect one:a. Minimum kinetic energy and minimum potential energyb. Maximum kinetic energy and maximum potential energyc. Minimum kinetic energy and maximum potential energyd. Maximum kinetic energy and minimum potential energy
Question
A particle in simple harmonic motion while passing through mean position will haveSelect one:a. Minimum kinetic energy and minimum potential energyb. Maximum kinetic energy and maximum potential energyc. Minimum kinetic energy and maximum potential energyd. Maximum kinetic energy and minimum potential energy
Solution
The correct answer is d. Maximum kinetic energy and minimum potential energy.
Here's why:
In simple harmonic motion, a particle has maximum kinetic energy and minimum potential energy when it passes through the mean position. This is because at the mean position, the particle is moving at its maximum speed (hence maximum kinetic energy) and it is at its equilibrium position where the potential energy is defined as zero (hence minimum potential energy).
So, when the particle is at the mean position, it has maximum kinetic energy due to its maximum speed and minimum potential energy because it's at the equilibrium position.
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