The body is lowered into a deep pit.

What will happen to the force of gravity acting on the body by the Earth, if the body is lowered into a deep pit?

Solution.

If we put a body inside a sphere then, according the Gauss’s law for gravity, the gravitational force act on the body from the sphere will be equal zero.

The gravitational force equal to the force with which the body of mass m is attracted to the part of the Earth with radius r and density ρ

where

r is the distance from the body to the center of the Earth,

ρ is the density of Earth which can be considered the same everywhere.
GravitDeep

In conclusion, the gravitational force decreases proportionally to r as we approach the center of the Earth.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s