Answer:
F_A = 8 F_B
Explanation:
The force exerted by the planet on each moon is given by the law of universal gravitation
F = 
where M is the mass of the planet, m the mass of the moon and r the distance between its centers
let's apply this equation to our case
Moon A
the distance between the planet and the moon A is r and the mass of the moon is 2m
F_A = G \frac{2m M}{r^{2} }
Moon B
F_B = G \frac{m M}{(2r)^{2} }
F_B = G \frac{m M}{4 r^{2} }
the relationship between these forces is
F_B / F_A =
= 1/8
F_A = 8 F_B
Answer: Friction
Explanation:
The friction force is the force exerted by a surface as an object moves across it or makes an effort to move across it. There are at least two types of friction force - sliding and static friction. Though it is not always the case, the friction force often opposes the motion of an object.
B.
the first species that colonize new or undisturbed land
Answer:


Explanation:
Given

To start with, we begin with

Substitute the expression for F


Acceleration (a) is:

So, the expression becomes:

-----------------------------------------------------------------------------------------
Velocity (v) is:
--- distance/time



--------------------------------------------------------------------------------------------
So, we have:


Divide both sides by 


Divide both sides by m


Integrate:






Next, is to get the maximum velocity by distance x.
To do this, we find the derivation by x





Divide both sides by 

Take cube roots of both sides




In working toward the complete solution of this problem,
I'm going to use addition, subtraction, multiplication, and
division. Also, I think I'll be using Newtons 2nd law of motion
like at least fifteen times, so I'll write it here for our review:
<span> Force = (mass) x (acceleration).</span>
-- When 36 N of force acts on m₁ it accelerates at 6 m/s² .
36 N = (m₁) x (6 m/s²)
Divide each side by 6 m/s² : m₁ = (36 N) / (6 m/s²) = 6 kg .
-- The same force acting on (m₁+m₂) accelerates them at 2 m/s² .
36 N = (6kg + m₂) x (2 m/s²)
Divide each side by 2 m/s² : 6kg + m₂ = (36N) / (2m/s²) = 18 kg
Subtract 6kg from each side: m₂ = 12 kg .
-- The same net force acts on m₂ alone:
36 N = (12 kg) x (acceleration)
Divide each side by 12 kg : Acceleration = (36 N) / (12 kg) = <span>3 m/s² </span>.
Hope this helps alot