Answer:
F = 0.78[N]
Explanation:
The given values correspond to forces, we must remember or take into account that the forces are vector quantities, that is, they have magnitude and direction. Since we have two X-Y coordinate axes (two-dimensional), we are going to decompose each of the forces into the X & y components.
<u>For F₁</u>
<u /><u />
<u>For F₂</u>
<u>For F₃</u>
<u /><u />
Now we can sum each one of the forces in the given axes:
Now using the Pythagorean theorem we can find the total force.
Answer: The original temperature was
Explanation:
Let's put the information in mathematical form:
If we consider the helium as an ideal gas, we can use the Ideal Gas Law:
were <em>R</em> is the gas constant. And <em>n</em> is the number of moles (which we don't know yet)
From this, taking , we have:
⇒
Now:
⇒
Answer:
Umm that's a personal question. All u have to do is say when have u pushed your personal limits....... Ummm one for me is when i had to try out for a select soccer and that is past my comfort zone.
Explanation:
Answer:
r = 58.44 [m]
Explanation:
To solve this problem we must use the following equation that relates the centripetal acceleration with the tangential velocity and the radius of rotation.
a = v²/r
where:
a = centripetal acceleration = 15.4 [m/s²]
v = tangential speed = 30 [m/s]
r = radius or distance [m]
r = v²/a
r = 30²/15.4
r = 58.44 [m]
Answer:
The charge on the dust particle is
Explanation:
From the question we are told that
The length is
The width is
The charge is
The mass suspended in mid-air is
Generally the electric field on the carpet is mathematically represented as
Where is the permittivity of free space with value
substituting values
Generally the electric force keeping the dust particle on the air equal to the force of gravity acting on the particles
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