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 #144 cm# to #360 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2018-01-10T08:10:51

The change i centripetal force is #0.024N#

The centripetal force is

#F=(mv^2)/r#

The mass is of the train #m=1kg#

The velocity of the train is #v=0.24ms^-1#

The radii are

#r_1=1.44m#

and

#r_2=3.60m#

The variation in the centripetal force is

#DeltaF=F_2-F_1#

The centripetal forces are

#F_1=1*0.24^2/1.44=0.04N#

#F_2=1*0.24^2/3.60=0.016N#

#DeltaF=0.04-0.016=0.024N#