Answer:
a) μ = [kg / m s]
b) D = m²/s
Explanation:
Viscosity is equivalent to a friction force that opposes the movement of fluids, it is defined by the relation
Shear stress = μ speed gradient
Fr/A = μ v₀ / h
Where Fr is the shear force, A the area, h the height and v₀ the velocity of the fluid layer
μ = [kg / m s]
The diffusion coefficient characterizes the ability of a material to move in a given solvent, depending on the size of the solute, the viscosity of the solvent, temperature
J = - D dΘ / dx
J is the broadcast glare
D = [m² / s]
Mars is the focus of much scientific study about possible human colonization. Its surface conditions and the presence of water on Mars make it arguably the most hospitable of the planets in the Solar System, other than Earth. Mars requires less energy per unit mass (delta-v) to reach from Earth than any planet except Venus.
Permanent human habitation on a planetary body other than the Earth is one of science fiction's most prevalent themes. As technology has advanced, and concerns about the future of humanity on Earth have increased, the argument that space colonization is an achievable and worthwhile goal has gained momentum. Other reasons for colonizing space include economic interests, long-term scientific research best carried out by humans as opposed to robotic probes, and sheer curiosity.
One of Elon Musk's stated goals through his company SpaceX is to make such colonization possible by providing transport, and to "help humanity establish a permanent, self-sustaining colony on Mars within the next 50 to 100 years".
Many organizations support the colonization of Mars. They have also given different reasons and ways humans can live on Mars. One of the oldest organizations is the Mars Society. They promote a NASA program that supports human colonies on Mars. The Mars Society have set up Mars analog research stations in Canada and the United States. All other organizations include MarsDrive, who wants to help fund settlements on Mars, and Mars to Stay. Mars to Stay advocates settlements on Mars. In June 2012, Mars One released a statement that they believe could help start a colony on Mars by 2023.
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Answer:
2 1/2 m/s^2 or 2.5m/s^2
Explanation:
From the question
final velocity v =25m/s
Initial velocity u =10m/s
time = 6 seconds
acceleration a = ?
Using the equation for linear motion
v = u + at
25 = 10 + a x 6
25 = 10 + a6
Subtract 10 from both sides
25-10 = 10 + a6 -10
25 - 10 = 10 -10 + a6
15 = a6
Divide both sides by 6
15/6 = a6/6
5/2 = a
a = 2 1/2 m/s^2 or 2.5m/s^2
Given the values to proceed to solve the exercise, we resort to the solution of the exercise through differential equations.
The problem can be modeled through a linear equation, in the form:
With the initial conditions as,
Where Q(t) is the charge.
<em>The general solution of a linear equation is given as:</em>
<em>
</em>
Applying this definiton in our differential equation we have that
To find b and a we use the first equation and find the roots:
Then we have
To find the values of the Constant we apply the initial conditions, then
And for the derivate:
We have a system of 2x2:
Solving we have:
The we can replace at the equation and we have that the Charge at any moment is given by,
If we obtain the derivate we find also the Current, then
