A model train, with a mass of $2 k g$ $2 kg$ , is moving on a circular track with a radius of $3 m$ $3 m$ . If the train's kinetic energy changes from $4 j$ $4 j$ to $5 j$ $5 j$ , by how much will the centripetal force applied by the tracks change by?

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A model train, with a mass of $2 k g$ $2 kg$ , is moving on a circular track with a radius of $3 m$ $3 m$ . If the train's kinetic energy changes from $4 j$ $4 j$ to $5 j$ $5 j$ , by how much will the centripetal force applied by the tracks change by?

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Answer 1 · 2017-11-01T18:35:48

The centripetal force will increase by a factor of 5/4.

Explanation:

The formulas for both kinetic energy
$K E = \frac{1}{2} \cdot m \cdot v^{2}$ $KE = 1/2*m*v^2$
and centripetal force
$F_{c} = m \cdot \frac{v^{2}}{r}$ $F_c = m*v^2/r$
have a $v^{2}$ $v^2$ term. If the $v^{2}$ $v^2$ term used in the calculation of kinetic energy is increased by a factor of 5/4, the $v^{2}$ $v^2$ term used in the calculation of centripetal force will also increase by a factor of 5/4.

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Steve

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A model train, with a mass of $2 k g$ $2 kg$ , is moving on a circular track with a radius of $3 m$ $3 m$ . If the train's kinetic energy changes from $4 j$ $4 j$ to $5 j$ $5 j$ , by how much will the centripetal force applied by the tracks change by?

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Explanation:

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A model train, with a mass of 2 kg2kg2 kg, is moving on a circular track with a radius of 3 m3m3 m. If the train's kinetic energy changes from 4 j4j4 j to 5 j5j5 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 $2 k g$ $2 kg$ , is moving on a circular track with a radius of $3 m$ $3 m$ . If the train's kinetic energy changes from $4 j$ $4 j$ to $5 j$ $5 j$ , by how much will the centripetal force applied by the tracks change by?