A model train with a mass of $4 kg$ is moving along a track at $6 (cm)/s$ . If the curvature of the track changes from a radius of $54 cm$ to $27 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-03-07T07:26:17

The change in centripetal force is $=0.026N$

The centripetal force is

$F=(mv^2)/r$

$m=mass=4kg$

$v=0.06ms^-1$

The variation in centripetal force is

$DeltaF=F_2-F_1$

$F_1=4*0.06^2/0.54=0.027N$

$F_2=4*0.06^2/0.27=0.53N$

$DeltaF=0.053-0.027=0.026N$

A model train with a mass of 4 kg4 kg is moving along a track at 6 (cm)/s6 (cm)/s. If the curvature of the track changes from a radius of 54 cm54 cm to 27 cm27 cm, by how much must the centripetal force applied by the tracks change?