As a 3.0-kg bucket is being lowered into a 14-m-deep well,starting from the top,the tension in the rope is 9.0 N.The acceleration of the bucket will be: A)6.8 m/s² downward. B)9 m/s² downward. C)zero. D)3.0 m/s² upward. E)6.8 m/s² upward.

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Quizplus · Accepted Answer

The net force on the bucket can be calculated using the difference between the gravitational force and the tension in the rope. The gravitational force (weight) is $mg = 3.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 29.4 \, \text{N}$. The tension is $9.0 \, \text{N}$, so the net force is $29.4 \, \text{N} - 9.0 \, \text{N} = 20.4 \, \text{N}$ downward. The acceleration can be found using Newton's second law, $F = ma$, which gives $a = \frac{F}{m} = \frac{20.4 \, \text{N}}{3.0 \, \text{kg}} = 6.8 \, \text{m/s}^2$ downward.

As a 30-Kg Bucket Is Being Lowered into a 14-M-Deep Well,starting from Well,starting