Answer:
The rope exerts 34.79 N force on the bucket.
Step-by-step explanation:
Given:
Mass of the bucket,

Acceleration due to gravity,

Speed of the bucket is constant.
Since the speed of the bucket is not changing, there will be no acceleration produced and thus net acceleration of the bucket is 0 m/s².
Now, the forces acting on the bucket are:
1. Upward tension force by the rope,
.
2. Downward weight of the bucket,
.
As the acceleration of the bucket is zero, therefore, upward force is equal to downward force.
So,

Hence, the tension force on the bucket by the rope is 34.79 N.