Answer:
The moment of inertia about an axis through the center and perpendicular to the plane of the square is

Explanation:
From the question we are told that
The length of one side of the square is 
The total mass of the square is 
Generally the mass of one size of the square is mathematically evaluated as

Generally the moment of inertia of one side of the square is mathematically represented as

Generally given that
it means that this moment inertia evaluated above apply to every side of the square
Now substituting for 
So

Now according to parallel-axis theorem the moment of inertia of one side of the square about an axis through the center and perpendicular to the plane of the square is mathematically represented as
![I_a = I_g + m [\frac{q}{2} ]^2](https://tex.z-dn.net/?f=I_a%20%3D%20%20I_g%20%2B%20m%20%5B%5Cfrac%7Bq%7D%7B2%7D%20%5D%5E2)
=> ![I_a = I_g + {\frac{M}{4} }* [\frac{q}{2} ]^2](https://tex.z-dn.net/?f=I_a%20%3D%20%20I_g%20%2B%20%7B%5Cfrac%7BM%7D%7B4%7D%20%7D%2A%20%5B%5Cfrac%7Bq%7D%7B2%7D%20%5D%5E2)
substituting for 
=> ![I_a = \frac{1}{12} * \frac{M}{4} * a^2 + {\frac{M}{4} }* [\frac{q}{2} ]^2](https://tex.z-dn.net/?f=I_a%20%3D%20%20%5Cfrac%7B1%7D%7B12%7D%20%20%2A%20%20%5Cfrac%7BM%7D%7B4%7D%20%2A%20a%5E2%20%2B%20%7B%5Cfrac%7BM%7D%7B4%7D%20%7D%2A%20%5B%5Cfrac%7Bq%7D%7B2%7D%20%5D%5E2)
=> 
=> 
Generally the moment of inertia of the square about an axis through the center and perpendicular to the plane of the square is mathematically represented as

=> 
=> 
Answer:
PART A
In a solid
The attractive forces keep the particles together tightly enough so that the particles do not move past each other. ... In the solid the particles vibrate in place. Liquid – In a liquid, particles will flow or glide over one another, but stay toward the bottom of the container.
In a liquid
Particles are quite close together and move with random motion throughout the container. Particles move rapidly in all directions but collide with each other more frequently than in gases due to shorter distances between particles.
A gas
The particles move rapidly in all directions, frequently colliding with each other and the side of the container. With an increase in temperature, the particles gain kinetic energy and move faster.
PART B
The molecules are continually colliding with each other and with the walls of the container. When a molecule collides with the wall, they exert small force on the wall The pressure exerted by the gas is due to the sum of all these collision forces. The more particles that hit the walls, the higher the pressure.
Explanation:
GOOD LUCK!!! :)
Answer:
Radius of cross section, r = 0.24 m
Explanation:
It is given that,
Number of turns, N = 180
Change in magnetic field, 
Current, I = 6 A
Resistance of the solenoid, R = 17 ohms
We need to find the radius of the solenoid (r). We know that emf is given by :


Since, E = IR




or

Area of circular cross section is, 


r = 0.24 m
So, the radius of a tightly wound solenoid of circular cross-section is 0.24 meters. Hence, this is the required solution.
Answer:
- magnitude : 1635.43 m
- Angle: 130°28'20'' north of east
Explanation:
First, we will find the Cartesian Representation of the
and
vectors. We can do this, using the formula

where
its the magnitude of the vector and θ the angle. For
we have:


where the unit vector
points east, and
points north. Now, the
will be:

Now, taking the sum:

This is




Now, for the magnitude, we just have to take its length:



For its angle, as the vector lays in the second quadrant, we can use:




C.Lenth: Km; This answer isn´t correct.
the correct unit of measurement of length is "m".