A model train with a mass of #2 kg# is moving along a track at #15 (cm)/s#. If the curvature of the track changes from a radius of #5 cm# to #12 cm#, by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2016-04-16T04:29:31

Change in force#=52,500" "#Dynes

Force at radius #r_1=5#

#F_1=mv^2/r_1=2000(15)^2/5=90000 " "#Dynes

Force at radius #r_2=12#

#F_2=mv^2/r_2=2000(15)^2/12=37500 " "#Dynes

Change in force #=F_1-F_2=90000-37500=52500" "#Dynes

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