A model train with a mass of #5 kg# is moving along a track at #4 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #24 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-08-24T15:35:54

The change in centripetal force is #=0.167N#

The centripetal force is

#F=(mv^2)/r#

The mass, #m=(5)kg#

The speed, #v=(0.04)ms^-1#

The radius, #=(r) m#

The variation in centripetal force is

#DeltaF=F_2-F_1#

#F_1=mv^2/r_1=5*0.04^2/0.04=0.2N#

#F_2=mv^2/r_2=5*0.04^2/0.24=0.033N#

#DeltaF=0.2-0.033=0.167N#