Two particles of identical massmare acted on only by the gravitational force of one upon the other. if the distance d between the particles is constant, what is the angular velocity of the line joining them? use newton’s second law with the center of mass of the system as the origin of the inertial frame

The angula velocity is given by:

.

Explanation:

Newton's law of universal gravitation tells us that the force acting between any to masses is:

Where d is the distance between the masses and G is the gravitational constant.

If ,

By Newton’s second law, we now that in magnitud the force acting on () is equal to the force acting on ():

Also we know that angular velocity relates to centripetal acceleration by: .

At the same time we know that:

⇒

Now:

Considering that d=2r, we finally have:

.

depends on what you mean by "group." for order, it would be coleoptera (beetles). for class, it would be insecta (insects). for phylum, it would be the arthropoda (animals with jointed exoskeletons).

explanation:

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.