A model train with a mass of #4 kg# is moving along a track at #3 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #12 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-05-06T09:22:21

The centripetal force changes by #=0.06N#

The centripetal force is

#F=(mv^2)/r#

mass, #m=4kg#

speed, #v=0.03ms^-1#

radius, #=(r) m#

The variation in centripetal force is

#DeltaF=F_2-F_1#

#F_1=mv^2/r_1=4*0.03^2/0.04=0.09N#

#F_2=mv^2/r_2=4*0.03^2/0.12=0.03N#

#DeltaF=0.09-0.03=0.06N#