Answer:
A telescope's angular resolution.
Explanation:
Diffraction limit is a minimum angular separation of two sources and it can be distinguished by the telescope. This angle is known as the diffraction limit. It is proportional to the wavelength of light and it has an inverse relation with the diameter of the telescope. Mathematically it is defined as
θ = 1.22λ/d
where θ is the angle, λ wavelength and d is the diameter of the objective mirror (lenz).
F=ma therefore 25kg*1.0m/s^2=25N force on the mass
Answer:
The maximum volume is 1417.87 
Explanation:
<u>Optimization Using Derivatives</u>
We have a 24x30 inch piece of metal and we need to make a rectangular box by cutting a square from each corner of the piece and bending up the sides. The width of the piece is 24 inches and its length is 30 inches
When we cut a square of each corner of side x, the base of the box (after bending up the sides) will be (24-2x) and (30-2x), width and length respectively. The volume of the box is
Operating
To find the maximum value of V, we compute the first derivative and equate it to zero
Simplifying by 12
Completing squares
We have two values for x
The first value is not feasible because it will produce a negative width (24-2(13.58))=-6.16
We'll keep only the solution
The width is
The length is
And the height
The maximum volume is
Space telescopes have the advantage of being above the blurring effects of the Earth's atmosphere.
A surrounding is a layer of fuel or layers of gases that envelop a planet and is held in a region through the gravity of the planetary frame. A planet retains its surroundings whilst the gravity is exceptional and the temperature of the surroundings is low. A stellar ecosystem is the outer area of a celeb, which includes the layers above the opaque photosphere; stars of low temperature may have outer atmospheres containing compound molecules.
The atmosphere of Earth consists of nitrogen (78%), oxygen (21%), argon (0.9%), carbon dioxide (0.04%), and trace gases. most organisms use oxygen for breathing; lightning and bacteria perform nitrogen fixation to provide ammonia that is used to make nucleotides and amino acids; flora, algae, and cyanobacteria use carbon dioxide for photosynthesis.
The layered composition of the ecosystem minimizes the damaging results of daylight, ultraviolet radiation, solar wind, and cosmic rays to defend organisms from genetic harm. The modern composition of the atmosphere of the Earth is made from billions of years of biochemical modification of the paleo atmosphere by residing organisms.
To learn more about the atmosphere visit here:
brainly.com/question/26767532
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Answer:
ω = 22.36 Hz
f = 3.56 Hz
T = 0.28 s.
Explanation:
a) The angular frequency (ω), can be calculated using the following equation:
<u>Where:</u>
<em>k: is the spring constant = F/x</em>
<em>m: is the mass of the particle = 0.500 kg</em>
<em>F: is the force applied = 7.50 N </em>
<em>x: is the displacement = 3.00 cm = 0.03 m </em>
Therefore, the angular frequency of the motion is 22.36 Hz.
b) To find the frequency (f) we can use the next equation:
Hence, the frequency of the motion is 3.56 Hz.
c) The period (T) is equal to:
Therefore, the period of the motion is 0.28 s.
I hope it helps you!
