A totally reflecting disk has radius $9\mathrm{.}00m,$ thickness $2\mathrm{.}00m,$ and average density $3\mathrm{.}00{10}^{2}k\frac{g}{m^3}.$ A laser has an average power output $P_{av}$ spread uniformly over a cylindrical beam of radius $2\mathrm{.}00$ mm $.$ When the laser beam shines upward on the disk in a direction perpendicular to its flat surface, the radiation pressure produces a force equal to the weight of the disk.

Part A

What value of $P_{av}$ is required?

Express your answer with the appropriate units.

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Part B

What average laser power is required if the radius of the disk is doubled?

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