A model train with a mass of #7 kg# is moving along a track at #15 (cm)/s#. If the curvature of the track changes from a radius of #32 cm# to #45 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-12-13T08:04:18

The change in centripetal force is #=0.41N#

The centripetal force is

#F=(mv^2)/r#

The mass is of the train #m=7kg#

The velocity is #v=0.15ms^-1#

The radii are

#r_1=0.32m#

and

#r_2=0.45m#

The variation in the centripetal force is

#DeltaF=F_2-F_1#

The centripetal forces are

#F_1=7*0.15^2/0.32=0.49N#

#F_2=7*0.15^2/0.45=0.35N#

#DeltaF=0.49-0.35=0.14N#