A model train with a mass of $6 k g$ $6 kg$ is moving along a track at $8 \frac{c m}{s}$ $8 (cm)/s$ . If the curvature of the track changes from a radius of $3 c m$ $3 cm$ to $16 c m$ $16 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-10-09T07:55:23

$\DeltaF=1.04N$

$F_\circ=(mv^2)/r$

$\DeltaF = F_1-F_2=(mv^2)/r_1-(mv^2)/r_2=(6*0.08^2)/0.03-(6*0.08^2)/0.16=1.04N$

A model train with a mass of 6 kg6kg6 kg is moving along a track at 8 (cm)/s8cms8 (cm)/s. If the curvature of the track changes from a radius of 3 cm3cm3 cm to 16 cm16cm16 cm, by how much must the centripetal force applied by the tracks change?