Rollercoaster Energy#

A rollercoaster ride moves a car with a mass of \({{params_m}}\ \rm{kg}\) to point \(A\) at a height \(h_A = {{params_h}} \ \rm{m}\). At point \(A\), the car is at rest, and then goes down the path through a loop of radius \({{params_r}} \ \rm{m}\). Point \(B\) is at a height of \(h_B = {{params_d}} \ \rm{m}\).

A rollercoaster track with max height h and a loop with height d.

Part 1#

What is the maximum possible speed of the rollercoaster?

Answer Section#

Please enter in a numeric value in \({{ params_vars_units }}\).

Part 2#

What is the speed at point \(B\)?

Answer Section#

Please enter in a numeric value in \({{ params_vars_units }}\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.