identified a number of potential sites for their resort but is concerned about the potential for avalanches in the region.

Dr. A. Nick has been contacted by a commercial entity interested in developing an exclusive leisure resort in the French Alps. The developer has identified several potential resort sites but is concerned about avalanche risks in the area.

To assist in site selection, the developer has tasked Dr. A. Nick`s team with modeling avalanche run-out distances at each potential site. Dr. A. Nick has proposed conducting this analysis through a model experiment.

The experimental apparatus includes a ramp with a straight chute connected smoothly to a horizontal sheet via a curved section. Granular material is initially held behind a trapdoor positioned at the chute`s top.

To commence a test, the trapdoor rotates on a hinge, releasing the granular material down the ramp. The distance traveled by the material beyond the ramp`s end is measured as the run-out distance 𝑥x, using a graduated scale on the horizontal sheet.

This apparatus allows for extensive adjustments to its geometry, including variations in chute length (0-12 meters) and width, as well as the chute`s incline angle. The trapdoor, fixed at a width of 5 meters, rotates freely upon release from a latch. However, the radius 𝑅R of the curved ramp section remains constant.