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

=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