To develop this problem it is necessary to apply the concepts related to the angular resolution of a telescope as well as to the arc length.
The arc length can be defined as
![s = r\theta](https://tex.z-dn.net/?f=s%20%3D%20r%5Ctheta)
Where
r= Radius
\theta = Angle
At the same time the angular resolution of a body is given under the proportion
![\theta = 1.22\frac{\lambda}{D}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%201.22%5Cfrac%7B%5Clambda%7D%7BD%7D)
Where
= Wavelength
D = Diameter
Our values are given as
![\lambda = 550*10^{-9}m](https://tex.z-dn.net/?f=%5Clambda%20%3D%20550%2A10%5E%7B-9%7Dm)
![D = 6.5m](https://tex.z-dn.net/?f=D%20%3D%206.5m)
![r = 3.82*10^5Km = 3.82*10^8m](https://tex.z-dn.net/?f=r%20%3D%203.82%2A10%5E5Km%20%3D%203.82%2A10%5E8m)
Then the angle of separation of the two objects seen from the observer is of
![\theta = 1.22 \frac{550*10^{-9}}{6.5}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%201.22%20%5Cfrac%7B550%2A10%5E%7B-9%7D%7D%7B6.5%7D)
![\theta = 1.032*10^{-7}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%201.032%2A10%5E%7B-7%7D)
Finally, using the proportion of the arc length, in which we have the radius and angle we can know the separation of the two objects by:
![s = (3.82*10^8)(1.032*10^{-7})](https://tex.z-dn.net/?f=s%20%3D%20%283.82%2A10%5E8%29%281.032%2A10%5E%7B-7%7D%29)
![s = 39.43m](https://tex.z-dn.net/?f=s%20%3D%2039.43m)
The answer would definitely be Conservation . Conservation is saving something .
The magnitude of the acceleration is 0.1038 m/s²
Explanation:
Net force is given by the square root of the sum of squares of the forces in y and x coordinates
Absolute Net Force will be;
![Nf=\sqrt{(Fx)^2+(Fy)^2} \\\\\\Nf=\sqrt{(68)^2+(43)^2} \\\\\\Nf=80.45N](https://tex.z-dn.net/?f=Nf%3D%5Csqrt%7B%28Fx%29%5E2%2B%28Fy%29%5E2%7D%20%5C%5C%5C%5C%5C%5CNf%3D%5Csqrt%7B%2868%29%5E2%2B%2843%29%5E2%7D%20%5C%5C%5C%5C%5C%5CNf%3D80.45N)
However, Fnet can be calculated as the product of force and acceleration
Fnet=m*a
Fnet= 80.45 N
m= 775 kg
a=?
80.45=775*a
80.45/775= a
0.1038 m/s²=a
Learn More
To calculate force : brainly.com/question/8829131
Keywords : mass, force, magnitude, acceleration
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I think the correct answer from the choices listed above is the first option. It is the magnetic fields present that causes the compass to move. <span>A compass reacts with the Earth's magnetic field, however, if another piece of metal is near of the needle magnet's magnetic field the needle will deflect toward the metal.</span>
Electrostatic forces between charges depend on the product of
the sizes of the charges, and the distance between them.
We should also mention the item about whether the charges are
both the same sign or opposite signs. That determines whether
the forces will pull them together or push them apart, which is a
pretty significant item.