A model train with a mass of #9 kg# is moving along a track at #18 (cm)/s#. If the curvature of the track changes from a radius of #32 cm# to #45 cm#, by how much must the centripetal force applied by the tracks change?
Centripetal (center-seeking) force is given by the equation
At the beginning, when the radius is
In the second part, when the radius has expanded to
The change in centripetal force is then found by simple subtraction,