The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

Question

Physics

Juliet

18 March, 13:45

The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

+5

Answers (2)

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Audrey Fox · Answer 1

orbital period increased by a factor of 2.83 unit

Explanation:

Given.

planet's orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU

T² = A³

If A is increased by a factor of 2,.

Then T will be increase with the factor of √2³ = 2.83

Noah Heath · Answer 2

Answer: The answer is 2 to the power of 3/2 or option 4