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A model train with a mass of #7 kg# is moving along a track at #12 (cm)/s#. If the curvature of the track changes from a radius of #32 cm# to #24 cm#, by how much must the centripetal force applied by the tracks change?

Answer 1

Adrian Ayala

The change in centripetal force is #=0.105N#

Centripetal force is what

#F=(mv^2)/r#

The mass is of the train #m=7kg#

The velocity is #v=0.12ms^-1#

The radii are

#r_1=0.32m#

additionally

#r_2=0.24m#

The centripetal force's variance is

#DeltaF=F_2-F_1#

What are the centripetal forces?

#F_1=7*0.12^2/0.32=0.315N#

#F_2=7*0.12^2/0.24=0.42N#

#DeltaF=0.42-0.315=0.105N#

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Answer 2

Emily Abbate

The centripetal force must increase by 0.102 N.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.