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?

1 Answer

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

Explanation:

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

God bless....I hope the explanation is useful.