Question:
There is a body having mass \(m\) and performing SHM with amplitude '\(a\)'. There is a restoring force \(F = -Kx\), where \(x\) is the displacement. The total energy of the body depends upon which of the following?
There is a body having mass \(m\) and performing SHM with amplitude '\(a\)'. There is a restoring force \(F = -Kx\), where \(x\) is the displacement. The total energy of the body depends upon which of the following?
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Total energy is $\frac12Ka^2$.
Updated On: Oct 1, 2026
- \(K,a,x\)
- \(K,a,v\)
- \(K,x\)
- \(K,a\)
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The Correct Option is D
Solution and Explanation
Step 1: Write the total energy
At the extreme position the speed is zero and all energy is potential: \(E=\frac12Ka^2\).
Step 2: Result
It depends only on \(K\) and the amplitude \(a\), not on \(x\) or \(v\) at some instant (they change, but \(E\) does not). Option (D).
Final Answer:
Total energy depends on \(K\) and \(a\), option (D). \[ \boxed{\text{(D)}} \]
At the extreme position the speed is zero and all energy is potential: \(E=\frac12Ka^2\).
Step 2: Result
It depends only on \(K\) and the amplitude \(a\), not on \(x\) or \(v\) at some instant (they change, but \(E\) does not). Option (D).
Final Answer:
Total energy depends on \(K\) and \(a\), option (D). \[ \boxed{\text{(D)}} \]
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