It would take <u> 8 years </u> for the asteroid to orbit once around the sun.
What is a semimajor axis?
- In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the two most widely separated points of the perimeter.
- The semi-major axis (major semiaxis) is the longest semidiameter or one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter.
- The semi-major axis of a hyperbola is, depending on the convention, plus or minus one half of the distance between the two branches.
- Thus it is the distance from the center to either vertex of the hyperbola.
- In astronomy, the semi-major axis is one of the most important orbital elements of an orbit, along with its orbital period.
- For Solar System objects, the semi-major axis is related to the period of the orbit by Kepler's third law.
To know more about semi-major axis, refer:
brainly.com/question/26662489
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Complete Question
A certain refrigerator, operating between temperatures of -8.00°C and +23.2°C, can be approximated as a Carnot refrigerator.
What is the refrigerator's coefficient of performance? COP
(b) What If? What would be the coefficient of performance if the refrigerator (operating between the same temperatures) was instead used as a heat pump? COP
Answer:
a
![COP = 8.49](https://tex.z-dn.net/?f=COP%20%3D%208.49)
b
Explanation:
From the question we are told that
The lower operation temperature of refrigerator is
The upper operation temperature of the refrigerator is ![T_2 = 23.2 ^oC = 296.2 \ K](https://tex.z-dn.net/?f=T_2%20%3D%20%2023.2%20%5EoC%20%3D%20%20296.2%20%5C%20%20K)
Generally the refrigerators coefficient of performance is mathematically represented as
![COP = \frac{T_1}{T_2 - T_1 }](https://tex.z-dn.net/?f=COP%20%3D%20%20%5Cfrac%7BT_1%7D%7BT_2%20-%20T_1%20%20%7D)
=> ![COP = \frac{265}{296.2 - 265 }](https://tex.z-dn.net/?f=COP%20%3D%20%20%5Cfrac%7B265%7D%7B296.2%20-%20265%20%20%7D)
=> ![COP = 8.49](https://tex.z-dn.net/?f=COP%20%3D%208.49)
Generally if a refrigerator (operating between the same temperatures) was instead used as a heat pump , the coefficient of performance is mathematically represented as
=>
=>
Answer:
The answer is A. Cementing...
Explanation:
hope this helps
Answer:
0.0321 g
Explanation:
Let helium specific heat ![c_h = 5.193 J/g K](https://tex.z-dn.net/?f=c_h%20%3D%205.193%20J%2Fg%20K)
Assuming no energy is lost in the process, by the law of energy conservation we can state that the 20J work done is from the heat transfer to heat it up from 273K to 393K, which is a difference of ΔT = 393 - 273 = 120 K. We have the following heat transfer equation:
![E_h = m_hc_h \Delta T = 20 J](https://tex.z-dn.net/?f=E_h%20%3D%20m_hc_h%20%5CDelta%20T%20%3D%2020%20J)
where
is the mass of helium, which we are looking for:
![m_h = \frac{20}{c_h \Delta T} = \frac{20}{5.193 * 120} \approx 0.0321 g](https://tex.z-dn.net/?f=%20m_h%20%3D%20%5Cfrac%7B20%7D%7Bc_h%20%5CDelta%20T%7D%20%3D%20%5Cfrac%7B20%7D%7B5.193%20%2A%20120%7D%20%5Capprox%200.0321%20g)
A) 140 degrees
First of all, we need to find the angular velocity of the Ferris wheel. We know that its period is
T = 32 s
So the angular velocity is
![\omega=\frac{2\pi}{T}=\frac{2\pi}{32 s}=0.20 rad/s](https://tex.z-dn.net/?f=%5Comega%3D%5Cfrac%7B2%5Cpi%7D%7BT%7D%3D%5Cfrac%7B2%5Cpi%7D%7B32%20s%7D%3D0.20%20rad%2Fs)
Assuming the wheel is moving at constant angular velocity, we can now calculate the angular displacement with respect to the initial position:
![\theta= \omega t](https://tex.z-dn.net/?f=%5Ctheta%3D%20%5Comega%20t)
and substituting t = 75 seconds, we find
![\theta= (0.20 rad/s)(75 s)=15 rad](https://tex.z-dn.net/?f=%5Ctheta%3D%20%280.20%20rad%2Fs%29%2875%20s%29%3D15%20rad)
In degrees, it is
![15 rad: x = 2\pi rad : 360^{\circ}\\ x=\frac{(15 rad)(360^{\circ})}{2\pi}=860^{\circ} = 140^{\circ}](https://tex.z-dn.net/?f=15%20rad%3A%20x%20%3D%202%5Cpi%20rad%20%3A%20360%5E%7B%5Ccirc%7D%5C%5C%0A%3C%2Fp%3E%3Cp%3Ex%3D%5Cfrac%7B%2815%20rad%29%28360%5E%7B%5Ccirc%7D%29%7D%7B2%5Cpi%7D%3D860%5E%7B%5Ccirc%7D%20%3D%20140%5E%7B%5Ccirc%7D)
So, the new position is 140 degrees from the initial position at the top.
B) 2.7 m/s
The tangential speed, v, of a point at the egde of the wheel is given by
![v=\omega r](https://tex.z-dn.net/?f=v%3D%5Comega%20r)
where we have
![\omega=0.20 rad/s](https://tex.z-dn.net/?f=%5Comega%3D0.20%20rad%2Fs)
r = d/2 = (27 m)/2=13.5 m is the radius of the wheel
Substituting into the equation, we find
![v=(0.20 rad/s)(13.5 m)=2.7 m/s](https://tex.z-dn.net/?f=v%3D%280.20%20rad%2Fs%29%2813.5%20m%29%3D2.7%20m%2Fs)