Weightless roller coaster
Classical Mechanics
Level
2
A roller coaster goes over a hill of radius \(30\text{ m}\). If the roller coaster moves at a great speed, then it will lose contact with the ground and fall freely in a parabolic trajectory. Under the free fall, people sitting in the roller coaster will feel weightless.
What is the minimum speed (in \(\text{m/s}\)) required to achieve the weightlessness?
Give your answer to 2 decimal places.
Take \(g = 9.8\text{ m/s}^{2}\).
by
Farhabi Mojib