### What is the speed at the bottom of the hill

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a hoop of mass M=2 kg and radius R=0.4 m rolls without slipping down a hill. The lack of slipping means that when the center of mas of the hoop has speed V, the tangential speed of the hoop relative to the center of mass is equal to Vcm,since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the ground (v-v=0). The initial speed of the hoop is Vinitial =2m/s, and the hill has a height of H=4.1 m. what is the speed Vfinal at the bottom of the hill?

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