# Spring Potential Energy Rail 2#

Consider the above figure. A rollercoaster takes a completely vertical drop. A massless spring of stiffness $$k = {{params.k}} N/m$$ is attaches to a rollercoaster, $$m = {{params.m}} kg$$, as it rounds a bend. The coaster slides without friction on a rail of radius $$R = {{params.R}} m$$. Assume $$v$$ = 0 as it enters the drop at $$A$$ and the spring is unstretched when the coaster passes $$B$$, answer the following questions.

## Part 1#

What is the velocity of the cart when it is at $$B$$?

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

## Part 2#

What is the velocity of the cart when it is at $$C$$?

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

## Part 3#

What is the normal force on the cart when it is at the bottom of the bend?

Please enter in a numeric value in $$N$$.