A roller coaster begins with a 90m hill followed by a 40m diameter loop. Unfortunately, the coaster hits a 20m long rough patch between the bottom of the hill and the loop. If the friction on the rough patch is .8, then can a roller coaster make it through the loop?
The Attempt at a Solution
I found that the centripetal acceleration is 9G's and that the weight a person would feel would be 10G's, but I don't know the equation I would use and how to factor in friction.