A model train with a mass of $2 kg$ is moving along a track at $2 (cm)/s$ . If the curvature of the track changes from a radius of $7 cm$ to $1 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2018-05-10T05:51:28

The change in centripetal force is $=0.0686N$

The centripetal force is

$vecF_C=(mv^2)/r*vecr$

The mass is of the train $m=2kg$

The velocity of the train is $v=0.02ms^-1$

The radii of the tracks are

$r_1=0.07m$

and

$r_2=0.01m$

The variation in the centripetal force is

$DeltaF=F_2-F_1$

The centripetal forces are

$||F_1||=2*0.02^2/0.07=0.0114N$

$||F_2||=2*0.02^2/0.01=0.08N$

$DeltaF=|F_1-F_2|=0.08-0.0114=0.0686N$

A model train with a mass of 2 kg2 kg is moving along a track at 2 (cm)/s2 (cm)/s. If the curvature of the track changes from a radius of 7 cm7 cm to 1 cm1 cm, by how much must the centripetal force applied by the tracks change?