A `20g` particle is oscillating simple harmonically with a period of `2 sec` and maximum kinetic energy `2 J`. The total mechanical energy of the particle is zero , find
a Amplitude of oscillation
b. potential energy as a function of displacement x relative to mean position.

Explanation

To solve the problem step by step, we will break it down into two parts as requested: finding the amplitude of oscillation and the potential energy as a function of displacement \( x \).

### Given Data:
- Mass of the particle, \( m = 20 \text{ g} = 0.02 \text{ kg} \)
- Period of oscillation, \( T = 2 \text{ sec} \)
- Maximum kinetic energy, \( KE_{\text{max}} = 2 \text{ J} \)
- Total mechanical energy, \( E = 0 \)

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