Question

In this problem, you will calculate the location of the center of mass for the Earth-Moon system, and then you will calculate the center of mass of the Earth-Moon-Sun system. The mass of the Moon is 7.35×1022 kg

k

g

, the mass of the Earth is 6.00×1024 kg

k

g

, and the mass of the sun is 2.00×1030 kg

k

g

. The distance between the Moon and the Earth is 3.80×105 km

k

m

. The distance between the Earth and the Sun is 1.50×108 km

k

m

.

Part A

Calculate the location xcm

x

c

m

of the center of mass of the Earth-Moon system. Use a coordinate system in which the center of the Earth is at x=0

x

=

0

and the Moon is located in the positive x direction.

Answer 1