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Answer:The magnitude of the acceleration is5.11 m/s²Explanation:Given;Tension on the rope, T = 164 Nmass of the bucket, m = 11 kgWeight of the rope is given by;W = mg = 11 x 9.8 = 107.8 NAccording to Newton's second law of motion, the tension on the rope is given by;T = W - mama = W - Tma = 107.8N - 164Nma = -56.2 Na = -56.2 / ma = -56.2 / 11a = -5.11 m/s²The magnitude of the acceleration is5.11 m/s²...