Abucket of water with total mass 24 kg is attached to a rope, which in turn is wound around a 0.04-m radiuscylinder at the top of a well. the bucket is raised to the top of the well and released. the bucket is moving with aspeed of 4.0 m/s upon hitting the water surface in the well. what is the angular speed of the cylinder at thisinstant?

Ametal ring 4.20 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. these magnets produce an initial uniform field of 1.12 t between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.240 t/s . (a) what is the magnitude of the electric field induced in the ring? (b) in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?