A model train with a mass of $1 kg$ is moving along a track at $24 (cm)/s$ . If the curvature of the track changes from a radius of $72 cm$ to $150 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-02-28T09:20:29

The change in centripetal force is $=0.0416N$

The centripetal force is

$F=(mv^2)/r$

$m=mass=1kg$

$v=0.24ms^-1$

The variation in centripetal force is

$DeltaF=F_2-F_1$

$F_1=1*0.24^2/0.72=N$

$F_2=1*0.24^2/1.5=N$

$DeltaF=0.08-0.0384=0.0416N$

A model train with a mass of 1 kg1 kg is moving along a track at 24 (cm)/s24 (cm)/s. If the curvature of the track changes from a radius of 72 cm72 cm to 150 cm150 cm, by how much must the centripetal force applied by the tracks change?