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, we will break it down into two parts: (a) calculating the work done to stop the flywheel and (b) finding the required average power.

### Given:
- Moment of inertia, \( I = 10 \, \text{kg m}^2 \)
- Initial angular speed, \( \omega_i = 50 \, \text{rad/s} \)
- Final angular speed, \( \omega_f = 0 \, \text{rad/s} \)
- Time to stop, \( t = 10 \, \text{s} \)

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