The earth and moon are seperated by a
centerto cent distance of 3.85 * 108 m. the mass of
theearth is 5.98 * 1024 kg. and that of the moon is7.35
* 1022 kg. how far does the center of themass lie of the
center of the earth?

4674568 m or 4675 km

Explanation:

Let x be the distance from the center of the mass system to the center of the earth. This means the distance from the center of the mass system to the center of the moon is . For the masses to balance out, we have the following equation:

where is the mass of Earth, and is mass of the moon

We can divide both sides by

or 4675 km

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

i think it's 35 meters