The reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.
When current passes through an inductor a magnetic field is produced and the collapsing magnetic field produced by the inductor charges the capacitor. This process repeats itself causing the electrical energy to oscillate between magnetic and electric field. Because of this oscillation, at resonance, voltage across the inductor and capacitor can be greater than the input voltage.
For a RLC circuit,
[tex]V_{s}[/tex] = [tex]\sqrt[]{V_{R}^{2} + (V_{L} - V_{C})^{2} }[/tex]
where,
[tex]V_{R}[/tex] = Voltage across the Resistor
[tex]V_{L}[/tex] = Voltage across the inductor
[tex]V_{C}[/tex] = Voltage across the capacitor
At resonance,
[tex]V_{L}[/tex] = [tex]V_{C}[/tex]
Therefore, the reason why voltage across the inductor and capacitor can have higher magnitudes than that of input source voltage is because of electrical energy's oscillation between magnetic and electric field.
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The imidazole side chain of histidine has a pka of 6.04. illustrate the predominant structures for histidine at (i) ph 4, (ii) ph 8, and (iii) ph 12. indicate stereochemistry at the ca.
The histidine imidazole side chain has a pka of 6.04. To illustrate the predominant structures for histidine at (i) ph 4, (ii) ph 8, and (iii) ph 12, we have the pictures attached below. The first one indicates structure at ph 4, second one indicates ph 8 and third indicates ph 12.
What is stereochemistry?The study of stereochemistry is focused on stereoisomers, which by definition have the same molecular formula and sequence of bonded atoms (constitution) but differ in the three-dimensional orientations of their atoms in space.
Stereochemistry is a subfield of chemistry that deals with the relative spatial arrangement of atoms that form the structure of molecules and their manipulation. Because the prefix “stereo- “denotes “three-dimensionality,” it is also referred to as “3D chemistry.”
One crucial area of stereochemistry is the study of chiral molecules. Stereochemistry covers the entire range of organic, inorganic, biological, physical, and particularly supramolecular chemistry.
The study of stereochemistry involves techniques for identifying and describing these interactions, as well as the impact these relationships have on the physical or biological characteristics of the molecules in question.
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The visible light spectrum is bounded on either side by which two types of radiation?
The visible light spectrum is bounded by these two types of radiation: ultraviolet and near infrared.
In physics, electromagnetic radiations are kind of waves that carry electromagnetic field and travel through space.
These waves transport electromagnetic energy while traveling through space.
Different types of electromagnetic waves are radio waves, infrared light, microwaves, gamma rays, UV radiations, and x-rays. While visible light is made up of only infrared and UV.
All these waves have different wavelengths, frequency and energy and make definite part of the electromagnetic spectrum.
These waves have dual nature and also exhibit dual particle nature and travel with light speed.
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If the cart's speed is 0.5 m/s and the puck's speed is 0.45 m/s, what are the two relative velocities?
0.05 m/s and -0.05 m/s
0.95 m/s and -0.95 m/s
0.95 m/s and -0.05 m/s
0.05 m/s and 0.95 m/s
The cart's speed is 0.5 m/s and the puck's speed is 0.45 m/s is 0.05 and .95m/s
Given:
A=The cart's speed is 0.5 m/s
B=The puck's speed is 0.45 m/s
Relative velocity formula =
[tex]V_{AB}=V_{A}-V_{B}[/tex]
[tex]V_{AB}=.5-.45=.05\\[/tex]
[tex]V_{BA}=V_{B}-V_{A}[/tex]
=.5+.45=0.95
The velocity of an object in respect to another object is defined as relative velocity. It is a measure of how rapidly two items move in relation to each other. In physics, relative velocity is significant because it explains how objects move and interact with one another. Many different sorts of interactions can have their relative velocity quantified. The velocity of an object in respect to another object is defined as relative velocity. It is a measure of how rapidly two items move in relation to each other. In physics, relative velocity is significant because it explains how objects move and interact with one another.
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what fives the identity of an atoms and its place on the periodic table
Answer:
atomic number
Explanation:
In the modern periodic table, the elements are listed in order of increasing atomic number. The atomic number is the number of protons in the nucleus of an atom. The number of protons define the identity of an element (i.e., an element with 6 protons is a carbon atom, no matter how many neutrons may be present).
*in the question you have written fives i think it has to be gives .*
please make my answer as brainelist
Sing kepler's 3rd law, a hypothetical planet is twice as far from the sun as the earth. it should have a period of:_________
If a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.
In the early 17th century, Johannes Kepler observed planetary motions and researched them to give three laws known as Kepler’s Laws.
These laws are:
(1) Law of orbits
(2) Law of Areas
(3) Law of Periods
According to the third law, the square of the time period of revolution of a planet around the sun is proportional to the cube of the distance between the sun and the planet, represented by the following formula
T^2 = r^3
Let T1 be the time period of the revolution of Earth and T2 be the time period of the revolution of the hypothetical planet.
Let r1 be the distance between Earth and the sun and r2 be the distance between the hypothetical planet and the sun.
From the above equation
T1^2 = r1^3
T2^2 = r2^3
Dividing the above equations,
(T1/T2)^2 = (r1/r2)^3
We are given that,
r2 = 2 x r1
And T1 = 365 days
So,
(365/T2)^2 = (r1/2r1)^3
Solving the above equation,
T2 comes out to be 1032 days.
Hence, if a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.
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What strategies are likely to be most effective in teaching a young child to throw a ball?
The best strategy for teaching a toddler or pre-schooler to throw is to simply play lots of throwing games with them without providing instruction. This will enable children to learn the fundamentals of throwing as their muscle coordination gradually improves over time.
What do you mean by throwing?Throw me a ball is an expression used to launch a ball through the air To abruptly place in a particular state or situation Please don't throw rubbish on the ground. He was thrown in jail to cause to tumble .The horse hurled its rider to put on or take off in a fast Let me throw on a coat.
Which three forms of throwing are there?Overhand, underhand, and throws made with both hands are among the different kinds. Underhand throws are typically made below the shoulder, whereas overhand throws are typically made above.
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Ssuming that the relationship between spring compression and height is quadratic, how far will the ball go at the highest setting, which compresses the spring 3 cm ?
The ball goes at the highest setting of 2.25cm, which compresses the spring by 3 cm.
What is spring?Spring is an elastic object that holds mechanical energy. Typically, springs are fabricated from spring steel. Springtime has many different patterns. A conventional spring without stiffness variability features exerts an opposing force that is roughly proportional to its change in length when it is compressed or stretched from its resting state. The word is frequently used to describe coil springs in daily speech (this approximation breaks down for larger deflections). The rate also referred to as the spring constant, is the proportion of a spring's change in force to change in deflection. In other words, it is the force against the deflection curve's gradient.
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For this question
Use =3.14
A stone of mass 0.40 kg is whirled round on the end
of a string 0.50 m long. It makes three complete
revolutions each second. Calculate:
a) its speed
b)its centripetal acceleration
c)he tension in the string
Answer:
c
Explanation:
The texture of the string. I took this test a week ago I got a 90% it is c!
An fm radio station broadcasts an oscillating radio wave at a frequency of 100 mhz. what is the period of the oscillation?
A shorter period implies a higher frequency because the relationship between the period and frequency is inverse.
T= 1/f = 1 / 1×10⁸s = 10ns
What is frequency?An event's repetitions per unit of time are what determine its frequency. It is also referred to as ordinary frequency in comparison to angular frequency and sometimes as temporal frequency in contrast to spatial frequency. Period, the inverse of frequency, is the duration of time required for one cycle of a repeating event. For instance, a heart that beats at a rate of 120 beats per minute (2 hertz) has a period (T) of 0.5 seconds between each beat (60 seconds divided by 120 beats).
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A ball is thrown upward with a velocity of 19.6. what us its veloicty after 3 sec
Initial velocity exists at 19.6 m per second. Plus acceleration exists equivalent to expression due to gravity, but it exists downward, so it will be negative -9.8 m per second squared and time exists three seconds, so this exists equivalent to this gives us - 9.8 meter per second velocity after 3 seconds.
How to find the initial velocity?The acceleration of the ball will be a constant [tex]$9.8 \frac{\mathrm{m}}{\mathrm{s}^2}$[/tex] (downward), regardless of whether the ball exists traveling upward or downward.
The equation that makes this calculation simplest is
[tex]$$V_f=V_i-g(\Delta t)$$[/tex]
where the negative sign has been used to account for the opposite directions of [tex]$V_i$[/tex] and g. After 3 seconds,
[tex]$V_f=19.6-(9.8)(3)=19.6-29.4=-9.8 \frac{m}{s}$$[/tex]
The negative result tells us that the ball is on its way downward by this time (consistent with our choice of a negative value for the downward acceleration of gravity).
Initial velocity exists at 19.6 m per second. Plus acceleration exists equivalent to expression due to gravity, but it exists downward, so it will be negative -9.8 m per second squared and time exists three seconds, so this exists equivalent to this gives us - 9.8 meter per second velocity after 3 seconds.
The complete question is:
A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.0 s, assuming negligible air resistance?
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If the position function of a particle is a linear function of time, what can be said about its acceleration?
The acceleration of the particle will be 0.
We have position function of a particle is a linear function of time.
We have to determine its acceleration.
What is Acceleration ?The rate of change of velocity with respect to time is called Acceleration.
According to the question -
Assume that the linear function of position of a particle is as follows -
x = mt + c
Where x is displacement of particle and t is time.
Now, Differentiating with respect time, we get velocity -
[tex]$\frac{dx}{dt} = \frac{d}{dt}\;(mt+c) = m[/tex]
Differentiating again with respect time, we get acceleration -
[tex]$\frac{d^{2} x}{dt^{2} } = \frac{d}{dt}\;m = 0[/tex]
Hence, the acceleration of the particle will be 0.
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The mass of an apple was 84.0 g.
The volume of the apple was 120 cm³.
Calculate the density of the apple.
Give your answer in g/cm³.
If two angles of a triangle have radian measures 9 and 3 8 , find the radian measure of the third angle.
The third angle of the triangle should be 37π/72 rad.
We need to know about the triangle rule to solve this problem. One of the rules of the triangle is the total angle inside the triangle is 180⁰.
A + B + C = 180⁰
From the question above, the given parameter is
A = π/9 rad
B = 3π/8 rad
Convert the angle to radian
180⁰ = π
Hence, the total angle should be
A + B + C = π
π/9 + 3π/8 + C = π
C = π - (π/9 + 3π/8)
C = π - 35π/72
C = 37π/72 rad
Hence, the third angle of the triangle should be 37π/72 rad
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Chapter 1102 of the ______ governs the practice of texas real estate inspectors.
Chapter 1102 of the Texas Occupations Code governs the practice of Texas real estate inspectors.
What are the titles included in the texas Occupations Code?All legislation and regulations passed by the state legislature are included in the Texas Education Code. It applies to the majority of educational institutions that receive all or a portion of their funding from state taxes. The Texas Constitution and all state statutes are both searchable indexes.
1 General Requirements
2 General Licensing Provisions
3 Health Professions
4 Animal-Related Professions
5 Financial and legal services regulation
6 Control of Practices in Engineering, Architecture, Land Surveying, and Related Fields
7 Real Estate and Housing-Related Practices and Professions
8 Environmental and industrial trades regulation
9 Regulation of Cosmetologists, Barbers, and Related Professions
10 Jobs in Security and Law Enforcement
11 Jobs in Sales and Solicitation Regulation
12 Water, Health, and Safety-Related Practices and Trades
13 Sports, recreation, and entertainment
14 Motor Vehicle and Transportation Regulation
15 Employment-Related Professions
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What wwould be abeeter material to use to make a frying pan - aluminiium or iron? why are iron pans not usully used by people who backpack?
Iron would be a better material to use to make a frying pan because, it is durable and great for baking or frying.
Iron pans are not used by people who use backpack or while travelling, because they are rather heavy and demand appropriate care.
Iron is the better material to use to make a frying pan.If a flat-bottomed pan is used for frying, searing, or browning food, it is referred to as a frying pan, frypan, or skillet.
It usually has a diameter between 20 and 30 cm (8 and 12 in), a long handle, fairly low sides that flare outward, and no cover.
On larger pans, a little grab handle may be found directly across from the main handle. Similar in size, but with less noticeable, more vertical sides, and frequently with a lid, is a sauté pan.
Even though it can be used as a frying pan, a sauté pan is designed for cooking at lower temperatures.
Fry pans were typically fashioned of cast iron, carbon steel, or copper with a tin coating due to their unique characteristics and properties.
Copper pans are ideal for evenly sautéing due to their excellent thermal conductivity. However, many copper pans are now offered with changeable tin linings because they are also quite reactive with most foods.
Even though they don’t transmit heat very uniformly, cast iron pans are used because they are effective for searing meats and vegetables.
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A spacecraft is in a 500-km by 900-km leo. how long (in minutes) does it take to coast from perigee to the apogee?
Spacecraft will take around 49 minute and 92 second to coast from perigee to the apogee.
We use Kepler's third law for which the time period is defined as
[tex]T = 2 \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
The Prague's altitude is the shortest distance between the earth's surface and satellite.
The average distance of the perigee and apogee of satellite can be defined as
a = R + [tex]\frac{r_{1} +r_{2} }{2}[/tex]
R is the radius of earth (6374.1km)
r1 is the lower orbit. (500km)
r2 is the higher orbit.(900km)
Using the values in above equation we get:
6374.1+ (500+ 900)/2
a = 7078.1 km
Time taken to fly from perigee to apogee equals to the half of the orbital speed so
t = T/2
[tex]t = \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
by using the values we get-
= √[(7078.1)³/6.67 ×10⁻¹¹ × 6×10²⁴]
= 295573.94 * 10⁻²
= 2995.73s
t = 49 mint 92 sec
It will take around 49 minute and 92 second to coast from perigee to the apogee.
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Which depiction of changing chemical compounds best describes the flow of nitrogen from the atmosphere, through the nitrogen cycle, and back into the atmosphere?
The depiction of changing chemical compounds that best describes the flow of nitrogen from the atmosphere, through the nitrogen cycle, and back into the atmosphere is N2 → NH4+ → NO3- → N2
Ammonification: The formation of ammonia or its compounds from nitrogenous compounds, especially as a result of bacterial decomposition. It is given by this equation: N2 → NH4+
Nitrification: The biological oxidation of ammonia with oxygen into nitrite followed by the oxidation of these nitrites into nitrates. It is given by this equation: NH4+ → NO3-
De-nitrification: A microbially facilitated process of nitrate reduction that may ultimately produce molecular nitrogen (N2) through a series of intermediate gaseous nitrogen oxide products.
NO3- → N2
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An airplane lands on a runway with a velocity of 150 m/s. how far will it travel until it stops if its rate of deceleration is constant at -3 m/s^2?
The airplane lands with a velocity of 150 m/s and its rate of deceleration is constant at -3 m/s^2,
[tex]u = 150 m/s[/tex]
[tex]a = -3 m/s^{2}[/tex]
[tex]v = 0[/tex]
According to the Equation of motion , [tex]v^{2} = u^{2} + 2as[/tex]
[tex]s =\frac{ v^{2} - u^{2} }{2a}[/tex] [tex]= \frac{0^{2} - 150^{2} }{2*(-3)}[/tex]s = 3750 m
Equations of motion are the mathematical formula that describes the position, velocity, or acceleration of a body relative to a given frame of reference.
The airplane will have to travel 3750 m until it stops if its rate of deceleration is constant at -3 m/s^2.
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What volume (in ml) of 1 m barium hydroxide would neutralize 78.2 ml of 2.549 m hydrobromic acid?
C3H7Br would neutralize 78.2 ml of 2.549 m hydrobromic acid.
What is hydrobromic acid?Hydrobromic acid, a powerful acid that is created by dissolving hydrogen bromides in water, is the end product.
Hydrobromic acid is a diatomic compound with the molecular symbol HBr. Hydrogen bromide is a colorless, suffocating gas that is extremely soluble and dissociated in water.
It quickly reeks when moist air is present. When encountered, hydrogen bromide gas, a very corrosive chemical, can cause severe burns.
Hydrobromic Acid’s Chemical Makeup – HBr
Sulfur dioxide, bromine, and water are produced when hydrobromic acid and sulfuric acid are combined. Below is the chemical equation.
Br2 + SO2 + 2H2O = 2HBr + H2SO4
2-Bromopropane is created when hydrobromic acid and propene undergo an addition process. Below is the chemical equation.
C3H6 + HBr = C3H7Br
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Mars is roughly 60 million km from earth. How long does it take for a radio signal originating from earth to reach mars? radio signals travel at the speed of light
Answer:
200 seconds
Explanation:
60 000 000 000 m / 3 x 10^8 m/s
6 x 10 ^10 / 3 x 10^8 s
2 x 10^2 s = 200 seconds
Which photon energies will excite the hydrogen atom when its electron is in the ground state?
The photon energy excite the hydrogen atom when its electron is in the ground state −13.6eV.
The second energy level is -3.4 eV.
Therefore, if we calculate the energy levels E₁ & E₂
E₂ − E₁ = -3.4 eV − -13.6 eV = 10.2 eV
Hence, the above expression shows, to excite the electron from the ground state to the first excited state. Similarly
The energy of the electron in ground state is −13.6eV.and the energy required to move electrons from ground state to third excited state is 12.75eV.
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A clock in a spaceship is observed to run at a speed of only 3 4 that of a similar clock at rest on earth. how fast (in terms of c) is the spaceship moving?
The speed of spaceship which run at a speed of only 3 4 that of a similar clock at rest on earth is 2.4 x 10^8 m/s
As from the given data, the clock in a spaceship is observed to run at a speed of 3/5 of a similar clock that rest on the earth is
T/T° = 3/5
When time moves at a high rate of pace, it slows down. The quantity of time dilation increases as an object moves more quickly. The constant speed of light, independent of the source of the light and the viewpoint of the observer, is partially explained by time dilation.
The expression for the time dilation is given by
T = γT°
γ = T/T°
γ = 1/√1 - v^2/c^2 is time dilation
Substituting the values in the above equation as,
γ = T/T°
5/3 = 1/√1 - v^2/c^2
v^2/c^2 = 16/25
v = 0.8 c
v = 0.8 x 3 x 10^8 m/s
v = 2.4 x 10^8 m/s
Hence, speed of spaceship moving is
2.4 x 10^8 m/s
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An object that is dropped from a height H falls with a constant acceleration of g. The final
speed, v, just before it reaches the ground can be expressed as v = sqrt(2gh). By how much does the height need to change double the final velocity?
The height need to change by 4 to double the final velocity.
Final velocity of the objectThe final velocity of an object during a free fall is related to maximum height of fall as given the equation below.
v = √2gh
v² = 2gh
v²/h = 2g
v₁²/h₁ = v₂²/h₂
when v₂ = 2v₁, change in height is calculated as;
h₂ = h₁v₂²/v₁²
h₂ = (h₁ (2v₁)²) / (v₁)²
h₂ = 4h₁v₁² / v₁²
h₂ = 4h₁
Thus, the height need to change by 4 to double the final velocity.
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Roughly how long would it take a fast moving craft that was initially propelled by rockets to reach the nearest star to the sun?
In other words, it would take Deep Space 1 more than 81,000 years to travel the 4.24 light-years between Earth and Proxima Centauri at its top speed of 56,000 km/h.
How long would it take to get to the nearest star at the speed of light?At this speed, Voyager would take more than 73,000 years to reach Proxima Centauri. It would still take 4.22 years to get there even if we could move at the speed of light, which is not possible because of Special Relativity.
At perihelion, Helios 2 was able to reach a maximum velocity of approximately 240,000 km/h (150,000 miles/hour), which was attained by the Sun's gravitational attraction alone due to the significant eccentricity (0.54) of the probe's solar orbit (190-days). Even though, technically speaking, Helios 2's perihelion velocity was not a gravitational slingshot but rather a maximum orbital velocity, it continues to maintain the title of fastest man-made object.
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Find the electron and hole concentrations and fermi level in silicon at 300 k for boron
To find the electron and hole concentrations and fermi levels in silicon at 300 k for boron, fermi level is 9.3 x [tex]10^4 cm^-3[/tex].
Calculation and ExplanationIonization energy for boron in Si, 0.045 eV
Fermi level in silicon,
300 K at [tex]10^{15} cm^{-3}[/tex] (Boron atoms)
All boron impurities are ionized, 300K
Electron, hole concentrations and Fermi levels is found out,
The value of Na = [tex]10^{15} cm^{-3}[/tex]
np = [tex]\frac{ni^2}{nA}[/tex]
np = [tex]\frac{(9.65 x 10^9)^2}{10^15}[/tex]
np= 9.3 x [tex]10^4 cm^-3[/tex]
Fermi level is calculated,
Ef - Ev = kT ln(NV/ND)
value of kT = 0.0259 eV (300° K)
So, substitution the values
Ef - Ev = kT ln(NV/ND)
Ef - Ev = 0.0259ln (2.66 x [tex]10^{19} / 10^{15}[/tex] )
Ef - Ev = 0.0259ln (26600)
Ef - Ev = 0.0259 x 10.18
Ef - Ev = 0.263 eV
What is ionization energy?
Ionization energy, also known as ionization energy (IE) or ionization energy (British English spelling), is the minimal amount of energy needed to free the most loosely bonded electron from an isolated gaseous atom, positive ion, or molecule in physics and chemistry.
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A record is declared as follows: the first letter in the first name is stored in location 1000. each letter takes one location and an integer takes two locations. what is the address of last[2]?
1012, a record is declared as follows: the first letter in the first name is stored in location 1000. Each letter takes one location and an integer takes two locations.
Multiplication and Division of Integers: the merchandise of a positive integer and a negative integer is negative: the merchandise of two positive integers is positive. The product of two negative integers is positive.
They are important because they assist to facilitate certain calculations by including integer negative numbers. In addition, they also include all negative and positive numbers without a percentage point.
The whole numbers are real numbers that don't have fractions, decimals, and negative numbers. It's neither positive integer nor negative. Zero obeys the rule of whole numbers. Positive numbers are greater than 0 and located to the proper of 0 on the variety line.
Negative numbers are but 0 and located to the left of 0 on the variety line. The quantity zero is neither positive nor negative. Zero is neither positive nor negative. It's the sole number with such characteristics.
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An earth satellite has a speed of 7.5 km/s and a flight path angle of 10 degrees when its radius is 8000 km. what is the angular momentum (in km 2/s)?
An earth satellite has a speed of 7.5 km/s and a flight path angle of 10 degrees when its radius is 8000 km.
-21.7km square /s square is the angular momentum (in km 2/s).
what is a satellite?The term "satellite" or "artificial satellite" refers to an object that has been placed into orbit in space on purpose. Except for passive satellites, most spacecraft have a way of generating power for the technology they carry, such as solar panels or radioisotope thermoelectric generators (RTGs). Most satellites also have transponders, which are a type of ground station communication system. The most typical satellites, tiny CubeSats, use a standardi Due to the expensive cost of space launch, satellites are designed to be as light and durable as possible. Satellites of the same type can work together to form constellations.To learn more about the artificial satellite, refer to the following link:
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Which microscope shows cells against a bright background and the intracellular structures of unstained cells based on their varying densities?
Phase contrast microscope shows cells against a bright background and the intracellular structures of unstained cells based on their varying densities.
A technique called phase-contrast microscopy is used to contrast a translucent object without staining it. Phase-contrast microscopy has a number of benefits, including the ability to employ high-resolution objectives, but doing so necessitates a specialised condenser and more expensive objectives.
With the help of the optical contrast technique known as phase contrast, biological specimens' cells can show their unstained architecture. With brightfield illumination, cell structures that appear transparent can be seen in high contrast and in great detail with phase contrast.
Phase-contrast photographs often have a grey backdrop with varying amounts of light and dark elements. Halo-light ring creation, a drawback of phase-contrast microscopy, is one.
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Do you recommend the use of nuclear power as a main source of energy? explain your answer (PLEASE HELP WILL MARK BRAINLIEST!!)
Yes because;
i.Nuclear energy protects air quality
✓Nuclear is a zero-emission clean energy source.
It generates power through fission, which is the process of splitting uranium atoms to produce energy. The heat released by fission is used to create steam that spins a turbine to generate electricity without the harmful byproducts emitted by fossil fuels.
ii.Nuclear energy produces minimal waste
iii.Nuclear energy’s land footprint is small
✓Despite producing massive amounts of carbon-free power, nuclear energy produces more electricity on less land than any other clean-air source.
How many grams of solid magnesium nitrate (148.3 g/mol) should be added to 500 ml of 0.118 m of sodium nitrate in order to produce an aqueous 0.25 m solution of nitrate ions?
4.89g of solid magnesium nitrate (148.3 g/mol) should be added to 500 ml of 0.118 m of sodium nitrate in order to produce an aqueous 0.25 m solution of nitrate ions.
Solution and ExplanationFrom the given info, we know that there is already the presence of nitrate already mixed in the solution. then we have to find out how more is required to be added to it.
first, we find moles of NaNO3
0.500L x 0.118 M = 0.059 moles NaNO3
this means there are 0.059 moles of[tex]NO^{-} _{3}[/tex]
Here volume is not changing, so amount of moles needed to make this concentration = 0.25M x 0.5L = 0.125 moles
0.125 - 0.059 moles = 0.066 moles of [tex]NO^{-} _{3}[/tex] required to be added in the solution.
for every 1 mole of Mg[tex](NO^{-} _{3} )_ {2}[/tex], there are 2 moles of [tex]NO^{-} _{3}[/tex].
so, we will only need half of the total moles of magnesium nitrate.
converting moles to grams,
0.033 moles Mg[tex](NO^{-} _{3} )_ {2}[/tex] x 148.3 g/mol = 4.89g Mg[tex](NO^{-} _{3} )_ {2}[/tex]
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