Physics
It is easier to carry two buckets of water in one hand each, than to carry only one in one hand because

Weights of buckets are balanced
Centre of gravity and centre of equilibrium fall within the feet
Centre of gravity falls within the body
Resultant weight of buckets is zero

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Physics
When a pail of water is swung in a vertical circle, the water does not fall out at the top of the loop when the speed is

Above a certain minimum value irrespective of amount of water in the pail
Below a certain minimum value irrespective of amount of water in the pail
Above a certain minimum value depending on amount of water in the pail
Below a certain minimum value depending on amount of water in the pail

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