Spring Potential Energy Rail

Spring Potential Energy Rail#

content/public/008.Energy/Conservation of Energy/Spring Potential Energy Rail/SpringPotentialEnergyRail.png

As a roller coaster approaches the station in the vertical plane, approaching its final drop. A spring attaches to the cart to slow it. The spring has an unstretched length of \({{params.xi}}m\) and a stiffness of \({{params.k}}N/m\). The \({{params.m}}kg\) cart experiences its final drop from rest at A, and the track is a curve with radius \(R = {{params.R}}m\). Calculate the velocity of the cart as it reaches its station at B, \(x = {{params.x}}m\) away from the curve, if there is no friction.

Part 1#

Answer Section#

Please enter in a numeric value in \(m/s\).

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.