A uniform disk sits on a smooth floor with a rocket strapped to its perimeter. One second after the rocket ignites, how far is the disk's center from where it started, in meters?

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**Details and Assumptions:**

- The mass of the disk is \(M=\SI{1}{\kilo\gram},\) its radius is \(r=\SI{0.5}{\meter},\) and the rocket provides a constant thrust of \(T = \SI{10}{\newton}\) after it ignites.
- Neglect the mass and size of the rocket.
- Submit your answer to to 3 decimal places.

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