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 $4 cm$ to $24 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-03-06T17:54:45

The change in centripetal force is $=2.04N$

The centripetal force is

$F=(mv^2)/r$

$m=mass=5kg$

$v=0.14ms^-1$

The variation in centripetal force is

$DeltaF=F_2-F_1$

$F_1=5*0.14^2/0.04=2.45N$

$F_2=5*0.14^2/0.24=0.41N$

$DeltaF=2.45-0.41=2.04N$

A model train with a mass of 5 kg5 kg is moving along a track at 14 (cm)/s14 (cm)/s. If the curvature of the track changes from a radius of 4 cm4 cm to 24 cm24 cm, by how much must the centripetal force applied by the tracks change?