A model train with a mass of #8 kg# is moving along a track at #9 (cm)/s#. If the curvature of the track changes from a radius of #21 cm# to #72 cm#, by how much must the centripetal force applied by the tracks change?

1 Answer

Answer:

Change in centripetal force
#Delta F=21,857.14286" "#Dynes

Explanation:

Given data:
#m=8 " "#kg
#v=9" ""cm/sec"#

#r_1=21" ""cm"#
#r_2=72" ""cm"#

For Centripetal Force

#F=(m*v^2)/r#

#F_1=(m*v^2)/r_1=(8000*9^2)/21=30857.14286#

#F_2=(m*v^2)/r_2=(8000*9^2)/72=9000#

#Delta F=F_1-F_2=21,857.14286" "#Dynes

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