A bucket of water with total mass 23.0 kg is attached to a rope, which in turn is wound around a 0.050-m radius cylinder, with crank, at the top of a well. The moment of inertia of the cylinder and crank is 0.21 kgm². The bucket is raised to the top of the well and released to fall back into the well. What is the kinetic energy of the cylinder and crank at the instant the bucket is moving with a speed of 6.2 m/s?

Group of answer choices

6.0E+2 J

1.6E+3J

4.4E+2J

1.5E+4J