A model train with a mass of $1 kg$ is moving along a track at $6 (cm)/s$ . If the curvature of the track changes from a radius of $16 cm$ to $15 cm$ , by how much must the centripetal force applied by the tracks change?

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Answer 1 · 2017-05-24T12:53:56

The centripeal force changes by $=0.0015N$

The centripetal force is

$F=(mv^2)/r$

mass, $m=1kg$

speed, $v=0.06ms^-1$

radius, $=(r) m$

The variation in centripetal force is

$DeltaF=F_2-F_1$

$F_1=mv^2/r_1=1*0.06^2/0.16=0.0225N$

$F_2=mv^2/r_2=1*0.06^2/0.15=0.024N$

$DeltaF=0.024-0.0225=0.0015N$

A model train with a mass of 1 kg1 kg is moving along a track at 6 (cm)/s6 (cm)/s. If the curvature of the track changes from a radius of 16 cm16 cm to 15 cm15 cm, by how much must the centripetal force applied by the tracks change?