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

Laci Holmes

Physics

5 August, 10:06

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?

+2

Answers (2)

Know the Answer?

Solomon Crosby · Answer 1

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

Nina Crane · Answer 2

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