Final answer:
The rope is pulling upward with a force equal to the weight of the bucket, which is approximately 44.5 newtons, calculated using the mass of the bucket in kilograms and the gravitational acceleration.
Step-by-step explanation:
The force with which the rope is pulling upward on the bucket of rocks can be determined using the concept of tension. In a situation where the bucket is stationary, the tension in the rope is equal to the weight of the bucket. The weight can be calculated using the formula weight (W) = mass (m) × gravitational acceleration (g), where the gravitational acceleration on Earth is approximately 9.8 m/s². Since the bucket has a mass of 10 pounds, which is equivalent to approximately 4.54 kg (1 pound = 0.454 kg), the tension in the rope would be the weight of this mass.
To calculate the tension (T) in the rope, you would use the formula: T = m × g. T = 4.54 kg × 9.8 m/s², which results in a tension of approximately 44.5 newtons (N).
Therefore, the rope is pulling upward on the bucket with a force of about 44.5 N.