A linear harmonic oscillator has a total mechanical energy of `200 J`. Potential energy of it at mean position is `50J`. Find
(i) the maximum kinetic energy,
(ii)the minimum potential energy,
(iii) the potential energy at extreme positions.

Explanation

To solve the problem step by step, let's break down each part of the question:

### Given Data:
- Total Mechanical Energy (E) = 200 J
- Potential Energy at Mean Position (PE_mean) = 50 J

### (i) Maximum Kinetic Energy (KE_max)

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