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A model train with a mass of #3 kg# is moving along a track at #16 (cm)/s#. If the curvature of the track changes from a radius of #15 cm# to #18 cm#, by how much must the centripetal force applied by the tracks change?

Answer 1

William Audy

The answer is #=2.56N#

Centripetal force is what

#F=(mv^2)/r#

The centripetal force fluctuation is

#DeltaF=(mv^2)/(Delta r)#

#=(3*(0.16)^2)/(0.18-0.15)#

#=(3*0.16*0.16)/0.03#

#=2.56N#

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Answer 2

Sebastian Acosta

The centripetal force applied by the tracks must increase by ( 0.84 , \text{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.