Unbalanced Thrust

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?

Details and Assumptions:

  • The mass of the disk is M=1 kg,M=\SI{1}{\kilo\gram}, its radius is r=0.5 m,r=\SI{0.5}{\meter}, and the rocket provides a constant thrust of T=10 NT = \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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