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 #42 j#, by how much will the centripetal force applied by the tracks change by?
Given that we have the involvement of Kinetic energy and centripetal force.
Kinetic energy is given by the equation
From both equations, it can be seen that equation of kinetic energy can be substituted into the equation of centripetal force, and the equation would be
Given that we have to find just the change in the centripetal force, so
So, substituting into the equation
So the change in the centripetal force is given as above.