The picture shows a bucket being whirled around in a vertical circle, with the help of a string at a very high but constant speed. What is the correlation between above action and the motion of the moon around the Earth?
All of the above.
The whirling of the bucket with the help of a string is similar to the circular motion of the moon around the Earth. Centrifugal force makes an object rotate in a circular motion. The centrifugal force in case of the bucket is the tension (the pull of the string on the bucket) provided by the string on the bucket. Similarly, the gravitational force between the moon and the Earth act as the centrifugal force for its rotation.