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 twice the mean distance from the sun as planet X, by what factor is the orbital period increased? 2 Superscript one-third 2 Superscript one-half 2 Superscript two-thirds 2 Superscript three-halves

Answer 1

Answer:

D on edge

Step-by-step explanation:

Answer 2

Answer:

T^2 = A^3

When T =  1 then A = 1

When T = 2 then T^2 = 4 and A = cube root of 4 = 1.587401052

which also equals 2^(2/3)  

So, of the answers you posted:

A) 2 Superscript one-third

B) 2 Superscript one-half

C) 2 Superscript two-thirds

D) 2 Superscript three-halves

it seems that "C" is the answer.

(By the way T^2 = A^3 is called Kepler's Third Law.  Actually Johannes Kepler stated it as:

T^2 = R^3 where "r" means radius of orbit.)

Step-by-step explanation: