why or how does a rope hold more weight vertically than horizontal?

A rope can hold more weight vertically than horizontally due to the concept of tension. When a rope is used vertically, the weight of the load is distributed evenly along the length of the rope, which helps in supporting the load. On the other hand, when a load is applied horizontally, the tension force in the rope can cause the rope to stretch, leading to a decrease in its ability to hold weight.

To understand this concept further, let's consider the forces acting on a rope. The tension in a rope is a force that acts along its length. When a load is added, the tension force increases to balance the weight of the load. In a vertical setup, the tension force is distributed evenly along the rope, keeping the load stable.

However, in a horizontal setup, the tension force acts perpendicular to the length of the rope. This force creates a stretching effect on the rope, known as tensile stress. As the weight of the load increases, the rope stretches even more. At a certain point, the stretching may become too significant, causing the rope to reach its breaking point, ultimately limiting its ability to hold weight.

To summarize, ropes can hold more weight vertically than horizontally because the tension force in a vertical setup is distributed along the length of the rope, while in a horizontal setup, it causes the rope to stretch and weaken.