2. A wishing well has a bucket of mass M = 3 kg attached to a rope that is wound around a pipe with a handle. The pipe and handle have a collective moment of inertia of I = 0.25 kgm². The pipe has a radius of 5 cm. The bucket starts from rest and falls a distance d = 4 m before hitting the water. a. Find the velocity of the bucket just before it hits the water. b. What would the final velocity of the bucket be if it just fell into the water released from rest from the same height without being attached to the rope? c. Explain the difference in the final velocity of the bucket in free fall vs. attached to the rope in terms of energy.

2. A wishing well has a bucket of mass M = 3 kg attached to a rope that is wound around a pipe with a handle. The pipe and handle have a collective moment of inertia of I = 0.25 kgm². The pipe has a radius of 5 cm. The bucket starts from rest and falls a distance d = 4 m before hitting the water. a. Find the velocity of the bucket just before it hits the water. b. What would the final velocity of the bucket be if it just fell into the water released from rest from the same height without being attached to the rope? c. Explain the difference in the final velocity of the bucket in free fall vs. attached to the rope in terms of energy.