6-2 Newton's Law of Gravitation

A satellite is orbiting Earth in a circular path at constant speed. Three statements about the resultant force on the satellite are:

I.  It is equal to the gravitational force of attraction on the satellite.

II. It is equal to the mass of the satellite multiplied by its acceleration.

III. It is equal to the centripetal force on the satellite.

Which combination of statements is correct?

Which is the definition of gravitational field strength at a point?

Which graph (https://drive.google.com/file/d/1SgyVIxP5KQudegyZnoI3nlHuhcTg8oqN/view?usp=sharing) shows the relationship between gravitational force F between two point masses and their separation r?

Newton’s law of gravitation ...

Two satellites of mass m and 2m orbit a planet at the same orbit radius. If F is the force exerted on the satellite of mass m by the planet and a is the centripetal acceleration of this satellite, what is the force and acceleration of the satellite with mass 2m?

The gravitational field strength at the surface of Earth is g. Another planet has double the radius of Earth and the same density as Earth. What is the gravitational field strength at the surface of this planet?

A geostationary satellite has a orbital time of 24 hours. Calculate the distance of the orbit from the surface of the Earth ($M_{Earth}=6.0\times10^{24}\ kg$ and $r_{Earth}=6400\ km$ ). 

(Give your answer rounded to 2 SF and for the unit km)

Find the Lagrange point between Jupiter and the sun by calculating ratio of the distance from the center of the sun to the point where the gravitational field strength of the sun equals that of Jupiter ($=d_S$ ) and to the same point from the center of Jupiter (=$d_J$ ).

I.e. Find $\frac{d_S}{d_J}$

Where

$d_S=$ distance from the Sun to the Lagrange point

$d_J=$ distance from Jupiter to the Lagrange point

Known:

$M_S=2.0\times10^{30\ }kg$

$M_J=1.9\times10^{27}kg$

$\rightarrow$ Round your answer to 3SF