Students use a pre-written Mathematica notebook or a Geogebra applet to explore how the shape of the effective potential function changes as the various parameters (angular momentum, force constant, reduced mass) are varied.
Download and run this Mathematica notebook or this Geogebra applet.
You have four different sliders that control the values of four parameters \(k\), \(\ell\), \(\mu\), and \(E\).
Answer the following questions: