Exercise 1: a) What is the apparent weight for a roller coaster rider at the bottom of a loop vs at the top of a loop? b) What is the min speed the car must pass along the loop so that the rider does not fall out while upside down at the top of the loop?

Answer 1

how big is the loop?

Answer 2

Only the max radius given R from top to center (loop not circular)

Answer 3

m v^2/R = m g to just barely not fall out at top
top: mg down and m v^2/R up
bottom: mg down and mv^2/R down