Answer:
The angle between two just-resolvable stars for the Arecibo telescope is
.
Explanation:
The resulting image in a telescope obtained from an object is a diffraction pattern.
That diffraction pattern is obtained because the light encounters different obstacles on its path inside the telescope (interact with the walls and edges of the instrument).
The diffraction pattern is composed by a central disk, called Airy disk, and diffraction rings.
The angular resolution is defined as the minimal separation at which two sources can be resolved one for another, or in other words, when the distance between the two diffraction patterns maxima is greater than the radius of the Airy disk.
The angular resolution can be determined in an analytical way by means of the Rayleigh criterion.
(1)
Where
is the wavelength and D is the diameter of the telescope.
Notice that it is necessary to express the wavelength in the same units than the diameter.
⇒
Finally, equation 1 can be used.
Hence, the angle between two just-resolvable stars for the Arecibo telescope is
Answer:
The magnitude of each force is 2.45 x 10⁻¹⁶ N
Explanation:
The charge of proton, +q = 1.603 x 10⁻¹⁹ C
The charge of electron, -q = 1.603 x 10⁻¹⁹ C
Distance between the two charges, r = 971 nm = 971 x 10⁻⁹ m
Apply Coulomb's law;

where;
k is Coulomb's constant = 8.99 x 10⁹ Nm²/C²
q₁ and q₂ are the charges of proton and electron respectively
F is the magnitude of force between them
Substitute in the given values and solve for F

Therefore, the magnitude of each force is 2.45 x 10⁻¹⁶ N
Because it’s warmer and more humid
<span>We can use conservation of energy to solve this question.
The woman increases the potential energy of the box by applying her force over a certain distance.
The work that the woman does is force * distance.
The work the woman does is 25 N * 1 meters = 25 Joules.
25 Joules is the increase in potential energy of the box.
100 * distance of the box = 25
distance of the box = 0.25 meters
Therefore, for every one meter the woman pulls downward, the box rises a distance of 0.25 meters.</span>