A model train with a mass of #2 kg# is moving along a track at #3 (cm)/s#. If the curvature of the track changes from a radius of #6 cm# to #12 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-06-11T11:59:51

The centripetal force changes by #=0.015N#

The centripetal force is

#F=(mv^2)/r#

mass, #m=2kg#

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=2*0.03^2/0.06=0.03N#

#F_2=mv^2/r_2=2*0.03^2/0.12=0.015N#

#DeltaF=0.03-0.015=0.015N#