A model train with a mass of $4 kg$ is moving along a track at $21 (cm)/s$ . If the curvature of the track changes from a radius of $84 cm$ to $35 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-04-30T15:17:51

The change in centripetal force is $=0.29N$

The centripetal force is

$F=(mv^2)/r$

mass, $m=4kg$

speed, $v=0.21ms^-1$

radius, $=(r) m$

The variation in centripetal force is

$DeltaF=F_2-F_1$

$F_1=mv^2/r_1=4*0.21^2/0.84=0.21N$

$F_2=mv^2/r_2=4*0.21^2/0.35=0.504N$

$DeltaF=0.504-0.21=0.29N$

A model train with a mass of 4 kg4 kg is moving along a track at 21 (cm)/s21 (cm)/s. If the curvature of the track changes from a radius of 84 cm84 cm to 35 cm35 cm, by how much must the centripetal force applied by the tracks change?