We wrap a light, nonstretching cable around a $7\mathrm{.}00$ kg solid cylinder with diameter of $40\mathrm{.}0$ cm$.$ The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a $11\mathrm{.}0$ kg

block and release the block from rest. As the block falls, the cable unwinds without stretching or slipping.

Part A

How far will the mass have to descend to give the cylinder $500$ J

of kinetic energy?

Express your answer in meters.

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