Two planets p1 and p2 orbit around a star s in circular orbits with speeds v1 = 40.2 km/s, and v2 = 56.0 km/s respectively. if the period of the first planet p1 is 750 years what is the mass, in kg, of the star it orbits around?

Explanation:

We are told both planets describe a circular orbit around the star S. So, let's approach this problem begining with the angular velocity of the planet P1 with a period :

(1)

Where:

is the velocity of planet P1

is the radius of the orbit of planet P1

Finding :

(2)

(3)

(4)

On the other hand, we know the gravitational force between the star S with mass and the planet P1 with mass is:

(5)

Where is the Gravitational Constant and its value is

In addition, the centripetal force exerted on the planet is:

(6)

Assuming this system is in equilibrium:

(7)

Substituting (5) and (6) in (7):

(8)

Finding :

(9)

(10)

Finally:

(11) This is the mass of the star S

a.

explanation:

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..