The momentum increases by a factor of 2
Explanation:
We can solve this problem by rewriting the momentum of the rocket in terms of the kinetic energy and the mass.
The kinetic energy of the rocket is:
(1)
where
m is the mass
v is the velocity
The momentum of the rocket is
(2)
From eq.(1) we get
and substituting into (2),
Now in this problem we have:
- The kinetic energy of the rocket is increased by a factor 8:
- The mass is reduced by half:
Substituting, we find the new momentum:
So, the momentum increases by a factor of 2.
Learn more about momentum and kinetic energy:
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Answer:
E = k Q₁ / r²
Explanation:
For this exercise that asks us for the electric field between the sphere and the spherical shell, we can use Gauss's law
Ф = ∫ E .dA = 
/ ε₀
where Ф the electric flow, qint is the charge inside the surface
To solve these problems we must create a Gaussian surface that takes advantage of the symmetry of the problem, in this almost our surface is a sphere of radius r, that this is the sphere of and the shell, bone
R <r <R_a
for this surface the electric field lines are radial and the radius of the sphere are also, therefore the two are parallel, which reduces the scalar product to the algebraic product.
E A = q_{int} /ε₀
The charge inside the surface is Q₁, since the other charge Q₂ is outside the Gaussian surface, therefore it does not contribute to the electric field
q_{int} = Q₁
The surface area is
A = 4π r²
we substitute
E 4π r² = Q₁ /ε₀
E = 1 / 4πε₀ Q₁ / r²
k = 1/4πε₀
E = k Q₁ / r²
Mountains, tops of buildings, and high-flying aircraft are all part of Earth's atmosphere, no matter how high they are. On the other hand, space doesn't belong to our atmosphere, it is outside of it. Having this in mind, the best location to place a telescope used to observe x-rays from stars is in space.
Answer:
Explanation:
DECOMPOSITION OF LIGHT:
Descartes explained the formation of the rainbow and years later Newton studied the light and managed to break it down into the colors of its spectrum through a prism year 1666.
Newton knew very little about the nature of light, did not know that it was a wave and even less that it was an electromagnetic wave. He believed that it was formed by corpuscles, but he managed to break it down into its spectral colors. Today we know that light is both particle and wave.
Humans (and some animals) appreciate a wide range of colors that are usually due to the mixture of radiation (lights) of different wavelengths. The color of light with a single wavelength or a narrow band of them is known as pure color.
When the light passes through a glass prism, the different wavelengths that make up the light beam travel inside it at different speeds and curl differently when entering and leaving (double refraction when changing media) giving as result a beam diverted from the initial direction and with its separate components. Thus arises the solar spectrum.
Each of the different rays of light crosses the glass with different velocity and the average speed of light within the prism is less than in a vacuum. Light is a wave with an oscillating electric field that interferes with the charged particles in matter.
The visible radiations are between the following wavelengths: from 350 nm (nanometers) for violet to 750 nm for red.
