Answer:
The total volume of the air is 1000 cubic centimeters.
Explanation:
Since the bicycle pump and the bicycle tyre have the same pressure, then the total volume of the air is the sum of the volume of each element, then we translate this into the following artihmetical expression:
![V = 200\,cm^{3}+800\,cm^{3}](https://tex.z-dn.net/?f=V%20%3D%20200%5C%2Ccm%5E%7B3%7D%2B800%5C%2Ccm%5E%7B3%7D)
![V = 1000\,cm^{3}](https://tex.z-dn.net/?f=V%20%3D%201000%5C%2Ccm%5E%7B3%7D)
The total volume of the air is 1000 cubic centimeters.
<span>Mccarthyism describes a political witchhunt, specifically refers to Sen. McCarthy's cold war era congressional commitees whose aim was to investigate and "out" or reveal individuals with communist "sympathies".</span>
The amplitude of a wave can be obtained by measuring the distance from the resting position of the wave to its crest. The resting position is half of the distance from the crest to the trough. Given that the distance between the crest and the trough is 3 meters, the amplitude should be half of that, which is 1.5 meters.
<h2>
Answer: Gravitational attraction will be the same</h2>
According to the law of universal gravitation, which is a classical physical law that describes the gravitational interaction between different bodies with mass:
(1)
Where:
is the module of the force exerted between both bodies
is the universal gravitation constant.
and
are the masses of both bodies.
is the distance between both bodies
Now, if we double both masses and the distance also doubles, this means:
and
will be now
and ![2m_{2}](https://tex.z-dn.net/?f=2m_%7B2%7D)
will be now
Let's rewrite the equation (1) with this new values:
(2)
Solving and simplifying:
(3)
As we can see, equation (3) is the same as equation (1).
So, if the masses both double and the distance also doubles the <u>Gravitational attraction between both masses will remain the same.</u>
Answer:
C. It speeds up, and the angle increases
Explanation:
We can answer by using the Snell's law:
![n_i sin \theta_i = n_r sin \theta_r](https://tex.z-dn.net/?f=n_i%20sin%20%5Ctheta_i%20%3D%20n_r%20sin%20%5Ctheta_r)
where
are the refractive index of the first and second medium
is the angle of incidence (measured between the incident ray and the normal to the surface)
is the angle of refraction (measured between the refracted ray and the normal to the surface)
In this problem, light moves into a medium that has lower index of refraction, so
![n_r < n_i](https://tex.z-dn.net/?f=n_r%20%3C%20n_i)
We can rewrite Snell's law as
![sin \theta_r =\frac{n_i}{n_r}sin \theta_i](https://tex.z-dn.net/?f=sin%20%5Ctheta_r%20%3D%5Cfrac%7Bn_i%7D%7Bn_r%7Dsin%20%5Ctheta_i)
and since
![\frac{n_i}{n_r}>1](https://tex.z-dn.net/?f=%5Cfrac%7Bn_i%7D%7Bn_r%7D%3E1)
this means that
![sin \theta_r > sin \theta_i](https://tex.z-dn.net/?f=sin%20%5Ctheta_r%20%3E%20sin%20%5Ctheta_i)
which implies
![\theta_r > \theta_i](https://tex.z-dn.net/?f=%5Ctheta_r%20%3E%20%5Ctheta_i)
so, the angle increases.
Also, the speed of light in a medium is given by
![v=\frac{c}{n}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bc%7D%7Bn%7D)
where c is the speed of light and v the refractive index: we see that the speed is inversely proportional to n, therefore the lower the index of refraction, the higher the speed. So, in this problem, the light will speed up, since it moves into a medium with lower index of refraction.