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Newton's thrid law states that for an action, there is an equal and opposite reaction, in an inertial reference frame.

The bucket at the highest point experiences two types of acceleration. One is gravity pointing downwards. Another is centripetal acceleration, which deters it from moving either to the right or to the left. The centripetal acceleration also points downwards. The bucket, at zero vertical velocity, applies a force on the water, equal to the centripetal force yet inthe reverse direction.

Therefore, the water in the bucket feel zero instantaneous force at zero instantaneous velocity. According to newton's first law, it shouldn't fall at that point.

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Q: Why water does not fall If a bucket containing water is rotated in a vertical circle. Explain.?
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