1) on the way to the moon, the apollo astro-
nauts reach a point where the moon’s gravi-
tational pull is stronger than that of earth’s.
find the distance of this point from the
center of the earth. the masses of the
earth and the moon are 5.98 × 1024 kg and
7.36 × 1022 kg, respectively, and the distance
from the earth to the moon is 3.84 × 108 m.
answer in units of m

2) what would the acceleration of the astro-
naut be due to the earth’s gravity at this
point if the moon was not there? the
value of the universal gravitational constant
is 6.672 × 10−11 n · m2/kg2.
answer in units of m/s2