A model train, with a mass of #6 kg#, is moving on a circular track with a radius of #4 m#. If the train's kinetic energy changes from #24 j# to #48 j#, by how much will the centripetal force applied by the tracks change by?
The kinetic energy of the train is given by
which we can rearrange to find the velocity (which we need) as
so, calculating the velocity in both cases (
The equation of centripetal force is
Therefore we can say that change in centripetal force is
which, putting in the values we know, is