Scientists discover two planets orbiting a distant star. the average distance from the star to planet a is 8 au, and it takes 710 earth days for planet a to orbit the star. if it takes 1170 earth days for planet b to complete an orbit, what is the average distance from planet b to the star? au

11.2 AU

Explanation:

Applying Kepler's 3rd law, we can find out the average distance of planet B to the star.

This Law states that for planets orbiting a same star, there exists a fixed relationship between the average distance to  the star, and the period of his orbit  around it, as follows:

K = T² / d³

So , in this case, we can write:

(da)³ / Ta² = (db)³ / (Tb)²

Solving for db:

db = ∛8³.(1170)² / 710² = ∛1390.4 = 11.2 AU

explanation:

v=uf/(u-f)

= 5.-10/(5+10) convex lens has negative focal length