Answer
See below.
Work Step by Step
Imagine the last time you were in a car and the car went around a circle. You felt a certain force pushing you. As the velocity of the car increased, the force on you increases. This force is centripetal force, and it acts on all objects moving in a circular path. In the example of the bucket spinning, the weight of the water is pulling the water down to earth. However, when there is another force pulling the water out of the circle, the centripetal force, the weight and the centripetal force cancel out and there are no net forces. Force is proportional to the acceleration of the object. So, if there is no force, there isn't acceleration. Therefore, the water shouldn't be moving when it moves in the circle.