Two identical motors, Motor A and Motor B, are used to lift two identical buckets of water from a well. Motor A takes 5 seconds to lift its bucket while Motor B takes 10 seconds. If both buckets have a mass of 10 kg and the depth of the well is 20 meters, calculate the power exerted by each motor. Assume that the acceleration due to gravity is 9.8 m/s^2. Is the power exerted by Motor B half of that of Motor A? Explain why or why not.

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