Problema Solution

in some other universe K, pack believes he has discovered a relationship between a planrt's distance D from its sun and the time T it takes to orbit its sun.

this formula is T=3sqrtD^4,where T is in earth years and D=1 corresponds to the distance between earth and our sun, or 93,000,000 miles

(a)planet eta is 27 times further from its sun then earth is from our sun

estimate the number of earth years required for eta to orbit, its sun according to K packs formula

planet eta takes=sqrtD7=

Answer provided by our tutors

When D=27

T=3sqrtD^4 = 3sqrt27^4 = 2187

So T = 2187  earth years