A model train with a mass of #3 kg# is moving along a track at #16 (cm)/s#. If the curvature of the track changes from a radius of #8 cm# to #32 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-03-12T11:01:48

The change in centripetal force is #=0.72N#

The centripetal force is

#F=(mv^2)/r#

#m=mass=3kg#

#v=0.16ms^-1#

The variation in centripetal force is

#DeltaF=F_2-F_1#

#F_1=3*0.16^2/0.08=0.96N#

#F_2=3*0.16^2/0.32=0.24N#

#DeltaF=0.96-0.24=0.72N#