Answer:
The rope exerts 34.79 N force on the bucket.
Step-by-step explanation:
Given:
Mass of the bucket,
![m=3.55\textrm{ kg}](https://img.qammunity.org/2020/formulas/physics/middle-school/gpmm9psz5fz7w74du1h3rojdz48zz7epjm.png)
Acceleration due to gravity,
![g=9.8\textrm{ }m/s^(2)](https://img.qammunity.org/2020/formulas/physics/middle-school/14hwozmxs83g0vj7b38tp59vx06f9hd6f3.png)
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,
![T=mg=3.55* 9.8=34.79\textrm{ N}](https://img.qammunity.org/2020/formulas/physics/middle-school/efpavoxk22va2aceimn3f7xqy33wgbbja8.png)
Hence, the tension force on the bucket by the rope is 34.79 N.