Question

The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves

Answer 1

D: K^3/2

Explanation:

Just took the test and this is right

Answer 2

Ty = √k * Tx

The orbital period of Y has to be be multiplied by √k . or . k∧1/2

Explanation:

The general equation:

T² = A³

is for the case of planet X

Tₓ² = Aₓ³

In the case of planet Y

Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²

By substitution:

Ty² = k *Tₓ²

Ty = √k * Tx