A 25.0-g ice cube is set sliding around the cone without friction in a horizontal circle of radius R.
1. Draw a diagram, put in all forces, and pick an appropriate coordinate system.
2. Find the speed the ice cube must have as a function of R, g and α. Show all work and give all reasoning.
3. What speed would be required to repeat this situation but with R_new = 2R_old?
4. If the time to complete one orbit is T when the radius is R, what is the time to complete one orbit when the radius is 2R?