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

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A model train, with a mass of $16 k g$ $16 kg$ , is moving on a circular track with a radius of $9 m$ $9 m$ . If the train's kinetic energy changes from $40 j$ $40 j$ to $9 j$ $9 j$ , 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.

Explanation:

Here,
In 1st case,

$K E = \frac{1}{2} m v^{2}$ $KE =1/2 mv^2$
$40 \cdot 2 = m v^{2}$ $40*2 = mv^2$
$m \frac{v^{2}}{r} = \frac{80}{9}$ $mv^2/r = 80/9$
$F c = \frac{80}{9} N$ $Fc = 80/9 N$

In 2nd case,

$m \frac{v^{2}}{r} = 2 \cdot \frac{9}{9} = 2$ $m v^2/r = 2 * 9/9 = 2$
$F c = 2 N$ $Fc = 2 N$

$△ F c = \frac{80}{9} - 2 = \frac{62}{9} = 6.88 N$ $triangle Fc = 80/9- 2 = 62/9 = 6.88 N$

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

1 Answer

Explanation:

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

1 Answer

Explanation:

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