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A disk with a c of 1/2 about its center, has a mass of 2 kg, and a radius of 0.8 meters.

A disk with a c of 1/2 about its center, has a mass of 2 kg, and a radius of 0.8 meters. It is originally at rest and a unknown force is applied at the edge of the disk in the -x direction directly above the center. Another force of 10 N is applied directly to the left of the center, halfway between the center edge, in the +y direction. Another force of 6 Newtons is applied directly below the center at the edge of the disk in the +x direction. Lastly, a force of 6 Newtons is applied directly to the right of the center in +x direction at the edge of the disk. Ignoring the normal force and weight force, after these forces are applied for 3.9 seconds, the rotational kinetic energy of the disk about its center is 383 Joules. How much, in Newtons, is the unknown force?

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