A proposed new roller coaster at Magic Mountain has the dubious attraction of hurtling a car at a brick wall at the end of the ride, but stopping the car with springs hidden out of sight beneath the track. The car has a mass of 1,836 kg, and is hauled up to a total height of 88.6 meters. Assume no friction, as we want to over-engineer this. If the springs have a spring constant of 100,000 N/m, how much distance do they need to bring it to stop? The answer will have 3 sig figs.
