As a 4.0-kg bucket is being lowered into a 13-m-deep well,starting from the top,the tension in the rope is 9 N.The acceleration of the bucket will be: A) 7.6 m/s² downward. B) 9 m/s² downward. C) zero. D) 2.3 m/s² upward. E) 7.6 m/s² upward.

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Quizplus · Accepted Answer

The net force on the bucket is the difference between the gravitational force (weight) and the tension. The weight is 4.0 kg * 9.8 m/s² = 39.2 N. The net force is 39.2 N - 9 N = 30.2 N downward. Using F = ma, the acceleration is 30.2 N / 4.0 kg = 7.55 m/s² downward, which rounds to 7.6 m/s² downward.

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