The track near the top of your favorite roller coaster is looped with the diameter of 20m. When you are at the top, you feel as if you weight one-third of your true weight.How fast is the roller coaster moving?

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The track near the top of your favorite roller coaster is looped with the diameter of 20m. When you are at the top, you feel as if you weight one-third of your true weight.How fast is the roller coaster moving?

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Answer 1 · 2015-11-08T19:27:48

$16.16 m/s$ $16.16"m/s"$

Explanation:

At the top of the ride the net force experienced will be the difference between the centripetal force and the weight .This is equal to $\frac{m g}{3}$ $(mg)/3$ so we can write:

$\frac{m v^{2}}{r} - m g = \frac{m g}{3}$ $(mv^2)/r-mg=(mg)/3$

$:.cancel(m)(v^2/r-g)=(cancel(m)g)/3$

$:.v^2/r=(4g)/3$

$v=sqrt((4gr)/3)$

$v=sqrt((4xx9.8xx10)/3)$

$v=11.4"m/s"$

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The track near the top of your favorite roller coaster is looped with the diameter of 20m. When you are at the top, you feel as if you weight one-third of your true weight.How fast is the roller coaster moving?

1 Answer

Explanation:

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