p
posted by Mary on .
A roller coater has a first drop of 140 meters and then enters a circular loop. Find the maximum radius of the loop such that the coaster never leaves the track at the top of the loop. Using the radius found in part 1, calculate the largest centripetal acceleration experienced by the passengers.

find the velocity at the top
v^2/R=mg or v^2=Rmg
but KE at the top is 1402R
1/2 mv^2=1402R
1/2 m(Rmg)=1402R
solve for R