Final answer:
The tension in the rope is 49.0 N, calculated using the formula T = mg, considering the mass of the bucket (5.00 kg) and the acceleration due to gravity (9.80 m/s²).
Step-by-step explanation:
To determine the tension in the rope we must consider the mass of the bucket and the acceleration due to gravity. Since the bucket is being lowered at a constant speed, there is no acceleration other than that due to gravity. The tension in the rope (T) is the force that balances the weight of the bucket. Using the formula T = mg, where m is the mass and g is the acceleration due to gravity, the tension can be calculated for a 5.00-kg bucket as follows: T = (5.00 kg)(9.80 m/s²) = 49.0 N. Thus, the tension force on the rope acting on the bucket is 49.0 N.