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A proton circulates in a cyclotron, beginning approximately at rest at the center. Whenever it passes...

A proton circulates in a cyclotron, beginning approximately at rest at the center. Whenever it passes through the gap between dees, the electric potential difference between the dees is 170 V. (a) By how much does its kinetic energy increase with each passage through the gap? (b) What is its kinetic energy as it completes 105 passes through the gap? (c) Let r105 be the radius of the proton's circular path as it completes those 105 passes and enters a dee, and let r106be its next radius, as it enters a dee the next time. By what percentage does the radius increase when it changes from r105 to r106? That is, what is percentage increase = (r106 - r105)/r105*100%?

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