A model train with a mass of #4 kg# is moving along a track at #21 (cm)/s#. If the curvature of the track changes from a radius of #42 cm# to #45 cm#, by how much must the centripetal force applied by the tracks change?

1 Answer
P dilip_k
Apr 23, 2016

The mass of the toy train #m =4kg#
The Velocity of the toy train #v =21cms^-1=0.21ms^-1#
The radius of first track = #r_1=42cm =0.42m#
The radius of second track = #r_2=45cm =0.45m#
So decrease in centripetal force for changing track is
#=mv^2(1/r_1-1/r_2)=4xx(0.21)^2xx(1/0.42-1/0.45)N~~.028N#

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