A model train with a mass of $8 kg$ is moving along a track at $9 (cm)/s$ . If the curvature of the track changes from a radius of $180 cm$ to $63 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-12-01T09:59:00

The change in centripetal force is $=0.067N$

The centripetal force is

$F=(mv^2)/r$

The mass is $m=8kg$

The velocity is $v=0.09ms^-1$

The radii are

$r_1=1.80m$

and

$r_2=0.63m$

The variation in centripetal force is

$DeltaF=F_2-F_1$

The centripetal forces are

$F_1=8*0.09^2/1.8=0.036N$

$F_2=8*0.09^2/0.63=0.103N$

$DeltaF=0.103-0.036=0.067N$

A model train with a mass of 8 kg8 kg is moving along a track at 9 (cm)/s9 (cm)/s. If the curvature of the track changes from a radius of 180 cm180 cm to 63 cm63 cm, by how much must the centripetal force applied by the tracks change?