A model train, with a mass of $16 kg$ , is moving on a circular track with a radius of $9 m$ . If the train's kinetic energy changes from $40 j$ to $9 j$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-07-12T06:51:07

6.88 N.

Here,
In 1st case,

$KE =1/2 mv^2$
$40*2 = mv^2$
$mv^2/r = 80/9$
$Fc = 80/9 N$

In 2nd case,

$m v^2/r = 2 * 9/9 = 2$
$Fc = 2 N$

$triangle Fc = 80/9- 2 = 62/9 = 6.88 N$

Thank you!!!

A model train, with a mass of 16 kg16 kg, is moving on a circular track with a radius of 9 m9 m. If the train's kinetic energy changes from 40 j40 j to 9 j9 j, by how much will the centripetal force applied by the tracks change by?