A model train with a mass of #1 kg# is moving along a track at #24 (cm)/s#. If the curvature of the track changes from a radius of #72 cm# to #150 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-02-28T09:20:29

The change in centripetal force is #=0.0416N#

The centripetal force is

#F=(mv^2)/r#

#m=mass=1kg#

#v=0.24ms^-1#

The variation in centripetal force is

#DeltaF=F_2-F_1#

#F_1=1*0.24^2/0.72=N#

#F_2=1*0.24^2/1.5=N#

#DeltaF=0.08-0.0384=0.0416N#