A model train with a mass of #3 kg# is moving along a track at #12 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #18 cm#, by how much must the centripetal force applied by the tracks change?

1 Answer
Mar 19, 2016

Answer:

=84000 #dyne

Explanation:

Let mass of train m =3kg = 3000 g
Velocity of train v = 12cm/s
Radius of first track #r_1=4cm#
Radius of Second track #r_2=18cm#
we know the centrifugal force =#(mv^2)/r#
Decrease in force in this case
#(mv^2)/r_1-(mv^2)/r_2#
#=(mv^2)*(1/r_1-1/r_2)=3*10^3*12^2(1/4-1/18)#
#=12000(9-2)=84000 #dyne