Answer with Explanation:
Let rest mass
at point P at distance x from center of the planet, along a line connecting the centers of planet and the moon.
Mass of moon=m
Distance between the center of moon and center of planet=D
Mass of planet=M
We are given that net force on an object will be zero
a.We have to derive an expression for x in terms of m, M and D.
We know that gravitational force=
Distance of P from moon=D-x
=Force applied on rest mass due to m
=Force on rest mass due to mas M
because net force is equal to 0.





Let 
Then, 




b.We have to find the ratio R of the mass of the mass of the planet to the mass of the moon when x=
Net force is zero




Hence, the ratio R of the mass of the planet to the mass of the moon=4:1
Answer:
Uranus and Neptun are outer planets od the Solar system, since they are located after the asteroid belt. All of these outer planets are much larger then the inner ones so they are called the "ice giants". The other reason for this name is that they are very far from the Sun, so their temperature is low. Another feature they have in common is their atmosphere which is composed of gases, including methane, which is responsible for their blue color, since methane absorbs red light. However Neptune is known for very fast winds and storms in its atmosphere which is responsible for its high activity and changes.
So, the blanks should be filled with:
Sun
methane
Neptune
outer planets
d, be clear about your response
a, possible dependency
d, refusal skills
b, detoxification
b, clearly stating personal reasons