A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #6 m#. If the train's kinetic energy changes from #16 j# to #80 j#, by how much will the centripetal force applied by the tracks change by?
the centripetal force changes by four times of the initial value.
the centripetal force on the circular track is given by
initially it was
The initial Kinetic energy
so f1 the initial centripetal force
now if the kinetic energy is increased to 80 J the train will
speed up and
putting up value of velocity ,we get
#(1/2). 4kg.( 6/4 ). f2 = 80J# #f2= 80/3 N#
so the change in centripetal force is 4 times the initial value.