3 years ago

Describe the link between the distance from the Sun and the speed

Physics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer: The closer the planet is to the sun, the faster it travels

Explanation:

The speed of the planets goes down as the chart shows planets farther away from the sun

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I added individual steps for clarity. Note that g must be positive if the solution is to be real.

$T=2\pi \sqrt{\frac{1}{g}}=2\pi g^{-\frac{1}{2}}\\g^{-\frac{1}{2}} = \frac{T}{2\pi}\\(g^{-\frac{1}{2}})^{-2} = (\frac{T}{2\pi})^{-2}\\g = \frac{4\pi^2}{T^2}\,\,\,, g>0}$

Let me know if you have any questions.

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