A 4.00kg kg bucket of water is accelerated upward by a cord of negligible mass whose breaking strength is 73.0N N .
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To determine the answer to your question, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the bucket of water is being accelerated upward by a cord.
We know the mass of the bucket of water is 4.00 kg, and we are given the breaking strength of the cord, which is 73.0 N. The breaking strength of the cord represents the maximum force it can withstand before breaking.
Since the bucket of water is being accelerated upward, we can assume that the tension in the cord is equal to the weight of the bucket plus the tension required to accelerate it. Let's denote the tension in the cord as T.
The weight of the bucket can be calculated using the formula: Weight = mass x gravity, where gravity is approximately 9.8 m/s^2.
Weight of the bucket = 4.00 kg x 9.8 m/s^2 = 39.2 N
Now, we can set up an equation using Newton's second law to find the acceleration of the bucket:
Net force = mass x acceleration
T - Weight of the bucket = mass x acceleration
T - 39.2 N = 4.00 kg x acceleration
We also know that the breaking strength of the cord is equal to the tension, so we can substitute T with 73.0 N:
73.0 N - 39.2 N = 4.00 kg x acceleration
33.8 N = 4.00 kg x acceleration
Finally, we can solve for the acceleration:
acceleration = 33.8 N / 4.00 kg
acceleration ≈ 8.45 m/s^2
Therefore, the bucket of water is being accelerated upward at approximately 8.45 m/s^2.