A flywheel of moment of inertia `10kg m^(2)` is rotating at `50 rad//s`. It must be brought to stop in `10 s`.
(a) How much work must be done to stop it?
(b) What is the required average power?

Explanation

To solve the problem step by step, we will break it down into two parts as requested.

### Given Data:
- Moment of Inertia, \( I = 10 \, \text{kg m}^2 \)
- Initial Angular Velocity, \( \omega_i = 50 \, \text{rad/s} \)
- Final Angular Velocity, \( \omega_f = 0 \, \text{rad/s} \) (since it is brought to stop)
- Time to stop, \( t = 10 \, \text{s} \)

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