A model train with a mass of #9 kg# is moving along a track at #15 (cm)/s#. If the curvature of the track changes from a radius of #45 cm# to #225 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-03-04T14:41:19

The change in centripetal force is #=0.36N#

The centripetal force is

#F=(mv^2)/r#

#m=mass=9kg#

#v=0.15ms^-1#

The variation in centripetal force is

#DeltaF=F_2-F_1#

#F_1=9*0.15^2/0.45=0.45N#

#F_2=9*0.15^2/2.25=0.09N#

#DeltaF=0.45-0.09=0.36N#