# Spring Potential Energy Rail#

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#

Please enter in a numeric value in $$m/s$$.