Question:
The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean position to extreme position (A) is given by:
The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean position to extreme position (A) is given by:
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In simple harmonic motion, the kinetic energy is proportional to the square of the displacement, hence the graph of kinetic energy vs displacement is parabolic.
Updated On: Mar 22, 2025
- Parabola
- Straight line
- Kinetic energy and displacement are inversely proportional
- Sine curve
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The Correct Option is A
Solution and Explanation
The kinetic energy \( KE \) of a particle executing simple harmonic motion is related to its displacement \( x \) by the following equation:
\[
KE = E - P - E
\]
Where \( E \) is the total mechanical energy and \( P \) is the potential energy. Since \( KE = \frac{1}{2} k x^2 \), the graph of \( KE \) vs \( x \) is a parabola.
Thus, the correct answer is a parabola.
Thus, the correct answer is a parabola.
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