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A model train with a mass of #5 kg# is moving along a track at #14 (cm)/s#. If the curvature of the track changes from a radius of #84 cm# to #21 cm#, by how much must the centripetal force applied by the tracks change?

Answer 1

Nora Arzate

The change in centripetal force is #=0.35N#

Centripetal force is what

#F=(mv^2)/r#

The mass is of the train #m=5kg#

The velocity is #v=0.14ms^-1#

The radii are

#r_1=0.84m#

additionally

#r_2=0.21m#

The centripetal force's variance is

#DeltaF=F_2-F_1#

What are the centripetal forces?

#F_1=5*0.14^2/0.84=0.117N#

#F_2=5*0.14^2/0.21=0.467N#

#DeltaF=0.467-0.117=0.35N#

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Answer 2

Layla Ahmed

The centripetal force must increase by a factor of 4.

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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.