Question #114151

A 140kg hoop rolls along a horizontal floor so that the hoops center of mass has a speed of 0.150m/sec, how much work must be done on the hoop to stop it?

Expert's answer

The moment of inertia of a hoop is

The rolling loop has kinetic energy of linear motion and rotation:

According to work-energy theorem, the change from this value of kinetic energy to zero is equal to the work performed to stop the loop:

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