The energy dynamics of a dry environment is important for predicting and managing the impacts of climate change, as well as for developing strategies to conserve energy and promote sustainable development.
In a dry environment, the energy dynamics refer to how energy flows through the system. Specifically, it refers to how energy is transferred between different objects or substances in the environment, such as from the sun to the ground, or from the ground to the air.
One important aspect of energy dynamics in a dry environment is evaporation. As water evaporates from the ground, it absorbs energy from its surroundings, causing the temperature to drop. This can have significant impacts on the local climate and weather patterns.
Additionally, dry environments often experience significant fluctuations in temperature, with hot days and cold nights. This is because there is typically little moisture in the air to regulate temperature and store heat.
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if the bullet achieves a speed of 220 m/s as a result of this impluse givem to it in the barrel of a gun, what must the mass be
If the bullet achieves a speed of 220 m/s as a result of this impluse given to it in the barrel of a gun, so the equation of mass is m = (FΔt) / v.
Impulse is a vector quantity defined as the product of force and the time interval over which the force acts on an object. It represents the change in momentum of an object and is given by the equation:
Impulse = Force * Time
Impulse can also be expressed as the integral of force with respect to time:
Impulse = ∫ F dt
The unit of impulse is newton-second (Ns) or kilogram-meter per second (kg·m/s). Impulse is directly related to the change in momentum experienced by an object. According to the principle of impulse-momentum, the impulse applied to an object is equal to the change in its momentum.
The formula for impulse is given as:
I = FΔt
where
I is impulse
F is the force
Δt is the change in time
According to Newton's second law, the force acting on an object is equal to the mass of the object multiplied by its acceleration.
F = ma
Where F is force,
m is mass,
and a is acceleration.
Rearranging the formula:
F/m = a
Now, we can substitute a = Δv/Δt,
where a is acceleration, Δv is change in velocity and Δt is change in time.
F/m = Δv/Δt
Rearranging this formula gives:FΔt = mΔvOrΔp = mΔvwhere Δp is the momentum.
Impulse (I) is the change in momentum (Δp).
Thus:
I = Δp
We can rewrite this as:
FΔt = mΔv
Given data:
Speed (v) = 220 m/s
Impulse (I) = Δp
Δp = mv - 0 = mv
Where m is the mass of the bullet.
We know that,
I = Δp
I = mv
220 m/s is the speed achieved by the bullet and we need to find the mass m.
Therefore,
m = I / v
Now, we can find impulse by using the formula for impulse:
Δp = mv - 0 = mv
I = Δp = mv
I = m * v
Substitute the given values in the formula to get the mass of the bullet.
I = m * v
m = I / v
m = (FΔt) / v
From the given data, we don't know either force or change in time. Thus, the mass of the bullet cannot be calculated. Therefore, the mass of the bullet cannot be determined using the given data.
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WILL MARK BRAINLIEST
A boy sledding down a hill accelerates at
1.29 m/s2
If he started from rest, in what distance
would he reach a speed of 6.87 m/s?
Answer in units of m.
Answer:
Explanation:
Explanation: In order for us to know how long it takes for the speed to be reached, we use the equation V= Vo + at, with V=6.87m/s, Vo= 0m/s since you start from rest and a=1.29m/s². T is the time in seconds that we want to find out.
6.87 = 0 + 1.29t
6.87 = 1.29t
t= 5.33s
Now, we want to know the distance this boy reaches in 5.33 seconds, in a 7m/s speed and accelarating in 1.29m/s². For finding this out, we use another equation, S = So + Vot + (at²)/2, S being the final distance, So = 0m because he started from rest, and the other variables used before.
S = 0 + 0*5 + [1.29*(5.33²)]/2
S = 0 + 0 + (1.29*28.40)/2
S = 36.64/2
S = 18.32m
6.7. A latching device that is completely concealed within a rectangular cavity carved in the edge of a door stile is commonly known as a A. mortise lock.
C. rim lock.
B. unit lock.
D. cylinder lock.
The correct answer is A. mortise lock. This type of lock is designed to be installed within a rectangular cavity that is carved into the edge of a door stile.
The latching mechanism of the mortise lock is completely concealed within the cavity, providing a sleek and unobtrusive appearance. Mortise locks are known for their durability and security, making them a popular choice for residential and commercial applications.It requires two components, a lock body and a strike plate, and is typically used in pairs. The lock body is typically installed into the edge of the door and the strike plate is installed into the doorjamb. The two components are then connected with a key and the door is locked and unlocked by turning the key. Mortise locks are more secure and offer more durability than other types of locks, such as cylinder locks.
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A capacitor is discharged through a 20.0 Ω resistor. The discharge current decreases to 22.0% of its initial value in 1.50 ms.
What is the time constant (in ms) of the RC circuit?
a) 0.33 ms
b) 0.67 ms
c) 1.50 ms
d) 3.75 ms
The time constant (in ms) of the RC circuit is 3.75 ms. Hence, the correct option is (d) 3.75 ms.
The rate of decay of the current in a charging capacitor is proportional to the current in the circuit at that time. Therefore, it takes longer for a larger current to decay than for a smaller current to decay in a charging capacitor.A capacitor is discharged through a 20.0 Ω resistor.
The discharge current decreases to 22.0% of its initial value in 1.50 ms. We can obtain the time constant of the RC circuit using the following formula:$$I=I_{o} e^{-t / \tau}$$Where, I = instantaneous current Io = initial current t = time constant R = resistance of the circuit C = capacitance of the circuit
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The time constant of the RC circuit is approximately 0.674 m s.
To determine the time constant (τ) of an RC circuit, we can use the formula:
τ = RC
Given that the discharge current decreases to 22.0% of its initial value in 1.50 m s, we can calculate the time constant as follows:
The percentage of the initial current remaining after time t is given by the equation:
I(t) =\(I_oe^{(-t/\tau)\)
Where:
I(t) = current at time t
I₀ = initial current
e = Euler's number (approximately 2.71828)
t = time
τ = time constant
We are given that the discharge current decreases to 22.0% of its initial value. Therefore, we can set up the following equation:
0.22 =\(e^{(-1.50/\tau)\)
To solve for τ, we can take the natural logarithm (ln) of both sides:
ln(0.22) = \(\frac{-1.50}{\tau}\)
Rearranging the equation to solve for τ:
τ = \(\frac{-1.50 }{ ln(0.22)}\)
Calculating this expression:
τ ≈ 0.674 m s
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A transmission line strung 7.0 m above the ground carries a current of 500 A. What is the magnetic field on the ground directly below the wire
Answer:
Approximately \(143\; {\rm T}\) assuming that this transmission line is straight and infinitely long.
Explanation:
Lookup the permeability of free space: \(\mu_{0} = 4\, \pi\; {\rm T \cdot m \cdot A^{-1}\).
Consider an infinitely-long straight wire in empty space carrying a current of \(I\). At a distance of \(r\) from this wire, the magnitude of the magnetic field from the wire would be:
\(\begin{aligned} B &= \frac{\mu_{0}\, I}{2\, \pi\, R}\end{aligned}\).
In this question, it is given that \(I = 500\; {\rm A}\). At a distance of \(R = 7.0\; {\rm m}\) from this wire, the magnitude of the magnetic field from this cable would be:
\(\begin{aligned} B &= \frac{\mu_{0}\, I}{2\, \pi\, R} \\ &= \frac{(4\, \pi \; {\rm T \cdot m \cdot A^{-1}}) \, (500\; {\rm A})}{(2\, \pi)\, (7.0\; {\rm m})} \\ &\approx 143\; {\rm T}\end{aligned}\).
A 0.50 kilogram ball is held at a height of 20 meters. What is the kinetic energy of the ball when it reaches halfway after being released?
A.
49 joules
B.
98 joules
C.
1.0 × 102 joules
D.
1.1 × 102 joules
Answer:
A
Explanation:
Use the conservation of energy formula to calculate the velocity of the ball when it reaches the halfway point (10m down). Then, use your calculated value to obtain the kinetic energy.
Answer:
A. 49 on Plato
Explanation:
Its the right one trust me .
the insulating oil in a liquid-filled transformer should be regularly tested for
Answer:
no idea
Explanation:
follow back if u like your mom after u see this
Select the arrangement of electromagnetic radiation which starts with the lowest wavelength and increases greatest wavelength. Multiple Choice radio, ultraviolet, infrared, gamma rays gamma rays, ultraviolet, infrared, radio radio, infrared, ultraviolet, gamma rays gamma rays, infrared, radio, ultraviolet gamma rays, radio, ultraviolet, infrared
Answer:
gamma rays, ultraviolet, infrared, radio
Explanation:
Because on the Electromagnetic spectrum wavelength increases from the gamma end to radio end and frequency decrease in that order
Answer:
radio → infrared → ultraviolet → gamma
Explanation: yeaaahhh its c
A motion has been made that the Taylorsville Community Group participate in the communit
"Toys for Tots" fund-raising campaign. You are the chairperson.
What type of motion is this?
The Taylorsville Volunteer Organization participating in the community is the subject of a key motion.
What is motion?The motion of an object is the change in its position over time. It can be measured in speed, velocity, and acceleration. Speed is how fast an object is moving, velocity is speed in a particular direction, and acceleration is the rate of change of velocity. Motion can be linear, circular, or oscillatory. Linear motion is the movement of an object in a straight line, circular motion is the movement of an object in a circle, and oscillatory motion is the movement of an object back and forth. Motion can also be described in terms of forces like gravity, friction, and momentum.
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How and why does the air parcel change? When does this change stop?
Explanation:
Air parcels can change as they move through the atmosphere due to a variety of factors, including changes in temperature, pressure, and moisture content. These changes can cause the air parcel to expand or contract, which in turn affects its density and buoyancy.
For example, if an air parcel rises and encounters lower pressure, it will expand due to the reduced external pressure and cool adiabatically, meaning without exchanging heat with its surroundings. Alternatively, if an air parcel descends and encounters higher pressure, it will be compressed and warm adiabatically. As the parcel rises or descends, it can also encounter regions with different moisture content, which can cause it to gain or lose water vapor through processes such as condensation or evaporation.
The changes to the air parcel will continue until it reaches a state of equilibrium with its surrounding environment. For example, if the temperature and moisture content of the air parcel become equal to those of the surrounding air, it will stop changing and become part of the larger air mass. However, if the air parcel continues to experience differences in temperature, pressure, or moisture content, it may continue to change as it moves through the atmosphere.
Answer:
air parcel change because of the air pressure surrounding the parcel.
Find the length of a rectangle with the area 20cm² and width 10cm
Answer:
The answer is 2 because 10 times 2 equals 20
Explanation:
Answer:
2 cm
Explanation:
A=L * w
20 = 10 * L
L = 20/10
L = 2cm
PLEASE HELP THIS IS DUE LIKE HELP ME PLEASE
On the image at the right, select the point where the pendulum swings fastest. Then, select two points with a velocity is zero.
Answer:
At the end points of motion (either side) the velocity must be zero because the velocity is changing from - to + (it can't turn around around without passing thru zero,
The velocity will then increase to the midpoint of the motion.
m g h = 1/2 m v^2 where h is the vertical distance thru which the pendulum travels
Question :- If a spring of spring constant ‘m’ is divided into 5:3 ratio, then what will be the spring constant of the larger piece of spring?
Answer :- 8m/5
I need explanation!
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Here we go ~
As we have been given, The spring of spring constant " m " was cut to form 2 new springs in ratio of 5 : 3.
we have to find out the spring constant of the longer spring which was formed, and it's given that spring constant of the main spring was " m "
Now, let the length of main spring be " l "
So, lengths of the resultant springs will be :
\(\qquad \cal \dashrightarrow \: \dfrac{5l}{8} \: \: and \: \: \dfrac{3l}{8} \: \: \: \: respectively\)
And we know that spring constant is inversely proportional to length of spring so, we infer that :
\(\qquad \cal \dashrightarrow \: m\propto \dfrac{1}{l} m \: \: \: \: \: - (1)\)
where, m is spring constant of main spring and l is its length.
\(\qquad \cal\dashrightarrow \: m_1 \propto \dfrac{8}{5l} \: \: \: \: \: \: \: - (2)\)
where, m1 is spring constant of longer spring, and 5l/8 is its length.
let's divide (2) by (1), we will get ~
\(\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5l} \div \dfrac{1}{l} \)
\(\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5l} \times \dfrac{l}{1} \)
\(\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5} \)
\(\qquad \cal \dashrightarrow \: {m_1}{} = \dfrac{8}{5} m \)
So, the spring constant of equivalent longer strong formed will be 8/5 m
prove:
\(m_2 = \frac{8m}{5} \)
Explanation:
Given:
Spring constant of spring= m
The ratio of spring = 5:3
To find:
spring constant of the larger piece of spring?
Solution:
Let the length of larger piece L2 be 5x and smaller piece L1 be 3x with spring constant m2 and m1 respectively.
now,
spring constant (m) inversely proportional to the length of spring i.e.
\(m \propto \: \frac{1}{l} {,}\: m_1 \propto \: \frac{1}{l_1} {,}\: m_2 \propto \: \frac{1}{l_2}\)
Also,
The spring is connected in series hence,
\( \frac{1}{m} = \frac{1}{m_1} + \frac{1}{m_2} \)
and
\( \frac{m_1}{m_2} = \frac{l_2}{l_1} \\ {m_1} = {m_2} \cdot \frac{l_2}{l_1} \\ {m_1} = {m_2} \cdot \frac{5}{3} \\ \)
Substituting above value in,
\( \frac{1}{m} = \frac{1}{m_1} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{1}{{m_2} \cdot \frac{5}{3}} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{3}{5m_2} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{3m_2 + 5m_2}{5 {m_2}^{2} } \\ \frac{1}{m} = \frac{8m_2}{5 {m_2}^{2} } \\ \frac{1}{m} = \frac{8 \cancel {m_2}}{5 \cancel{m_2}^{2} } \\ \frac{1}{m} = \frac{8}{5m_2} \\ m_2 = \frac{8m}{5} \)
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A sample the ethanol has a volume of 240 cm^3. Its mass is found to be 190 g. What is the density of ethanol?
≈ 0.8 g/cm³
Explanation:Hi there !
Density formula
d = m/V
= 190g/240cm³
= 0.791(6) g/cm³
≈ 0.8 g/cm³
Good luck !
The density of sampler of ethanol is 0.8 g/cm³.
What is density?The density is the ratio of the mass and the volume of the object. It is denoted by ρ.
ρ = mass/Volume
ρ= m/V
Given, a sample the ethanol has a volume of 240 cm³. Its mass is found to be 190 g.
Substituting the values, we get
ρ = 190g/240cm³
ρ = 0.791(6) g/cm³
ρ ≈ 0.8 g/cm
Thus, the density of ethanol is 0.8 g/cm³.
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Which type of thermal energy transfer does a foil wrapping reduce the most? O A. Conduction O B. Translation O C. Radiation O D. Convection
The foil reduces radiation the most in terms of thermal energy transfer. Thermal energy transfer is the movement of heat from one place to another. The four types of thermal energy transfer are radiation, conduction, convection, and advection. The correct answer is option OC.
Foil wrapping reduces radiation as the most type of thermal energy transfer. Thermal energy transfer is the movement of energy from one place to another. There are four types of thermal energy transfer: conduction, convection, radiation, and advection. The foil wrapping reduces radiation the most. When there is a foil wrapped around food, the foil traps the heat inside the food, which reduces the radiation energy transfer. Radiation is the heat transfer that occurs in the form of electromagnetic waves. It requires no matter to move, which is why it can occur in the vacuum of space. Radiation transfer can be absorbed, transmitted, or reflected. Therefore, the correct answer is option OC.For more questions on radiation
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A 60 kg person sits in a chair. How much does the earth pull on the person? (Acceleration due to gravity is -10m/s2) F = mxa → F = (60kg) x (-10m/s2) → F= -600N or 600N in the downward direction
Answer:
600N(downwards)
Explanations
600N(downwards)
Mas of the person = 60kg
Acceleration due to gravity = -10m/s²
To get the earths pull on the person, we will use the Newton second law of motion;
Force = mass * acceleration;
Force = 60 * -10
Force- -600N
Hence the earth gravitational pull on the person is 600N(downwards). It is downwards due to the negative sign.
how many 600 nm photons would have to be emitted each second to account for all the light froma 100 watt light bulb
It's worth noting that this is a rough estimate and the actual number of 600 nm photons emitted by a 100 watt light bulb could be different depending on the specific characteristics of the light bulb and the conditions under which it is used is 45 photons per second.
The amount of light emitted by a 100 watt light bulb is typically measured in lumens. One lumen is the amount of light that would travel through a one-square-foot area if that area were one foot away from the source of light.
The wavelength of light is an important factor in determining how much light is emitted. Light with shorter wavelengths, such as blue or violet light, has more energy than light with longer wavelengths, such as red or orange light.
The number of 600 nm photons emitted by a 100 watt light bulb, we need to know the intensity of the light in terms of lumens per steradian. The lumens per steradian can be calculated by dividing the total lumens by the area of the light source.
For a 100 watt light bulb, the lumens per steradian can be estimated to be around 1200 lumens per steradian.
We can then calculate the number of 600 nm photons emitted by multiplying the lumens per steradian by the fraction of the electromagnetic spectrum that is made up of 600 nm light. According to the CIE standard, the spectral luminous efficiency of a 100 watt incandescent light bulb is around 15 lumens per watt for light in the visible range, and 0.3% of the light is in the 600 nm range.
Therefore, the number of 600 nm photons emitted by a 100 watt light bulb can be calculated as follows:
Number of 600 nm photons = Intensity of light in lumens per steradian x Fraction of electromagnetic spectrum made up of 600 nm light x Lumens per watt for light in the visible range
Number of 600 nm photons ≈ 1200 lumens per steradian x 0.003 x 15 lumens per watt
Number of 600 nm photons ≈ 45 photons per second
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the figure below shows four particles, each of mass 45.0 g, that form a square with an edge length of d = 0.700 m. if d is reduced to 0.150 m, what is the change in the gravitational potential energy of the four-particle system?
To calculate the change in gravitational potential energy, we need to consider the initial and final potential energy of the four-particle system.
Initial potential energy (PE_initial): In this configuration, there are 6 unique pairs of particles, each separated by a distance d = 0.700 m. The gravitational potential energy for each pair can be calculated using the formula:
PE = -(G * m1 * m2) / r
where G is the gravitational constant (6.674 x 10^-11 N*(m/kg)^2), m1 and m2 are the masses of the particles (45.0 g = 0.045 kg), and r is the distance between the particles. Then, sum the potential energy of all 6 pairs.
Final potential energy (PE_final): When d is reduced to 0.150 m, we follow the same procedure, calculating the gravitational potential energy for each pair and summing the results.
Change in gravitational potential energy = PE_final - PE_initial
Use the given values and the formula to find the change in gravitational potential energy of the four-particle system.
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which type of thermometer does not have to touch the surface of food to check the temperature accurately?
An infrared thermometer does not have to touch the surface of food to check the temperature accurately.
What is an infrared thermometer?Infrared thermometers, can be called laser thermometers, work by measuring the infrared radiation emitted by an object.
Since they don't need to make direct contact with the food, they can provide a temperature reading without potentially contaminating the food.
Whilee Infrared thermometers are often used to measure the temperature of food, but they can also be used to measure the temperature of other objects, such as people, animals, and the environment.
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A 40,000kg rocket traveling at 220 m/s expels 300kg worth of gases at what velocity?
Hi there!
We can use the conservation of momentum to solve.
\(m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'\)
m1 = mass of rocket (40,000 kg)
m2 = mass of gas (300 kg)
v1, v2 = INITIAL velocities of rocket and gas (0 m/s)
v1' = FINAL velocity of rocket (+220 m/s, assuming UP to be positive)
v2' = FINAL velocity of gas (- ? m/s, DOWNWARD so negative)
This is an example of a "recoil" collision, so:
\(0 = m_1v_1' + m_2(v_2')\)
Set the two equal:
\(m_2(-v_2') = m_1v_1'\)
Plug in the givens:
\(300(-v_2') = (40,000)(220)\\\\\)
\(\v_2 = \boxed{-29,333.33 m/s}\)\(v_2 = \boxed{-29,333.33 m/s}\)
Explain where the heat energy is coming from, if there is no work being done on the system because the volume is constant.
In a system where no work is done, the heat energy comes from the surroundings or the environment, since it is the only source of energy available to the system.
In a system where volume remains constant, the energy transfer to and from the system occurs solely in the form of heat energy. Heat energy is a form of energy that moves between two substances with different temperatures.
It flows from an area of high temperature to an area of low temperature until thermal equilibrium is reached, meaning that the temperatures of both substances become equal.
Therefore, in a system where no work is done, the heat energy comes from the surroundings or the environment, since it is the only source of energy available to the system.
The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, but it can be transferred or converted from one form to another. In a system with constant volume, there is no change in volume, so no work is done by the system.
Therefore, any energy transfer that occurs must be in the form of heat energy, which is the only other form of energy that can be transferred.
Heat energy can be transferred by conduction, convection, or radiation. Conduction is the transfer of heat energy through direct contact between two substances, such as a pot on a stove.
Convection is the transfer of heat energy through the movement of fluids, such as the circulation of hot water in a radiator.
Radiation is the transfer of heat energy through electromagnetic waves, such as the heat energy that is received from the sun.
In conclusion, if there is no work being done on a system and the volume remains constant, the heat energy is coming from the surroundings or the environment. Heat energy is the only form of energy that can be transferred to or from the system in this case.
The energy transfer can occur through conduction, convection, or radiation, depending on the specific circumstances of the system.
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a nearsighted person has a far point of 33 cm. what focal length of contact lens would allow the person to see at a distance?
The focal length of the contact lens required by the nearsighted person is 33 cm.
The far point of the nearsighted person is 33 cm.
The focal length of contact lens which would enable the person to see at a distance.
The lens formula,1/f = 1/v - 1/u
u = distance of the object from the lens v = distance of the image from the lens v is taken to be at infinity as the person wants to see the object at a distance. Thus, v = ∞ (infinity).
Therefore,1/f = 1/∞ - 1/33 cm = -1/33 cm
f = -33 cm
Therefore, the focal length of the contact lens required by the nearsighted person is 33 cm (the negative sign indicates the nature of the lens as it is a concave lens).
The focal length of the contact lens required by the nearsighted person is 33 cm.
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In order to have kinetic energy an object must be
1.moving
2. At rest
3.rigid
4.elevated
What are two reasons scientists might use a model to study what happens on
the atomic level when something explodes?
Answer:
Models are used to study atoms because we can never really see an atom up close, and a model is like a super magnified version of the atom. Plus, its easier to study from them because we can pin point the different characteristics of the atom (Protons, Neutrons, etc.)
Explanation:
Hope this helps! :>
Answer:
I believe its because the molecules are to small to see with the human eye and because the process would be very dangerous and somebody could get hurt.
Question 8 of 10
Which are healthy ways of managing stress? Select the three correct choices.
A. Practice deep breathing
B. Eat a healthy diet
C. Sleep fewer than 6 hours per night
D. Be active
DOLIS
listed following are three possible models for the long-term expansion (and possible contraction) of the universe in the absence of dark energy. rank each model from left to right based on the ratio of its actual mass density to the critical density, from smallest ratio (mass density much smaller than critical density) to largest ratio (mass density much greater than critical density).
Open, flat, and closed universes are the three forms of expanding universes that are theoretically possible. The universe would always grow if it were open.
What long-term expansion universe in lack of dark energy?If the universe were flat, it would also continue to expand indefinitely, but the rate of growth would eventually reduce to zero.
One is the red-shift phenomenon, which shows that the cosmos is expanding. Cosmic microwave background radiation is the second type. The universe's abundance of various elements is the third.
The majority of astronomers think that dark energy is a type of substance with an inverse gravity that repels matter from its vicinity.
Therefore, According to scientific theories, this is what is causing the universe to expand and to push stars, planets, and galaxies apart.
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What happens to the electric force between two particles if the distance
between them is doubled?
A. It decreases to half the original force.
B. It increases to twice the original force.
C. It increases to 4 times the original force.
D. It decreases to 1/4 of the original force.
Answer:
D.
Explanation:
Force and distance are inversely related, so a greater distance results in a weaker force.
The number of electrons in an atom decreases as you move from left to right in the periodic table.
A satellite operating at 6 GHz in at a distance of 35,780km above the earth station. The following are the satellite link parameters: Effective isotropic radiated power =80 dBW, Atmospheric absorption loss of 2 dB, satellite antenna with physical area of 0.5 m² and aperture efficiency of 80%. The satellite receiver has an effective noise temperature of 190°K and noise bandwidth of 20 MHz. i. If the threshold CNR for this satellite is 25 dB, determine whether the transmitted signal shall be received with satisfactory quality at the satellite or not. If the CNR of the satellite link is 87 dB, calculate the downlink CNR
The downlink CNR is 84.08 dB.
The operating frequency of a satellite is 6 GHz, distance of 35,780km above the earth station, Effective isotropic radiated power =80 dBW, Atmospheric absorption loss of 2 dB, satellite antenna with physical area of 0.5 m² and aperture efficiency of 80%, effective noise temperature of 190°K, noise bandwidth of 20 MHz and the threshold CNR for this satellite is 25 dB.
To determine whether the transmitted signal shall be received with satisfactory quality at the satellite or not, we have to calculate the received signal power and noise power. For this, we have to use the Friis transmission formula: Pr = Pt + Gt + Gr - L - 20 log f - 147.55
Where, Pr = received power at satellite in dBm Pt = transmitted power at earth station in dBm Gt = gain of transmitting antenna in dBi Gr = gain of receiving antenna in dBi L = system losses in dB f = operating frequency in MHz
Using the above formula, the received power can be calculated as follows:
Pr = 80 + 2 + 10 log [(0.8 x 0.5) / (4 x π x (35,780 x 1000)² x 6 x 10⁹)] - 20 log 6 - 147.55Pr = -107.67 dBm
Now, we can calculate the carrier-to-noise ratio (CNR) as follows:
CNR = Pr - Ls - PnCNR = -107.67 - 2 - 228.6
CNR = -338.27 dBi.e. CNR is less than the threshold CNR of 25 dB, hence the transmitted signal shall not be received with satisfactory quality at the satellite.
To calculate the downlink CNR, we can use the same formula. The noise power in this case is given by kTB, where k is the Boltzmann constant, B is the noise bandwidth and T is the effective noise temperature.
Pn = kTB = 1.38 x 10⁻²³ x 190 x 20 x 10⁶Pn = -213.52 dBm
Now, the received power at earth station is given by Pt = Pr + Ls + Lp - Gt - GrPt = -107.67 - 2 - 0.8 + 10 log [(0.8 x 0.5) / (4 x π x (35,780 x 1000)² x 6 x 10⁹)] - 20 log 6Pt = -129.44 dBm
Now, the CNR can be calculated as before:
CNR = Pt - PnCNR = -129.44 + 213.52CNR = 84.08 dB
Since the CNR of the satellite link is greater than the threshold CNR of 25 dB, the transmitted signal shall be received with satisfactory quality at the earth station.
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A trapeze artist weighs 8.00 x 102 N. The artist is momentarily held to one side of a swing by a partner so that both of the swing ropes are at an angle of 30.0o with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?
The horizontal force being applied by the partner is 692.8 N.
What is the horizontal force applied?
The horizontal force being applied by the partner is determined by applying Newton's second law of motion.
Mathematically, the Newton's second law of motion is given as;
F = ma
where;
m is the mass of the objecta is the acceleration of the objectThe total weight of the trapeze artist can be resolved into horizontal component and vertical component.
The formula for the horizontal component of the weight of the trapeze artist is given as;
Fx = F cosθ
Wx = W cosθ
where;
W is the weight of the artistθ is the angle of inclination of the ropeWx = ( 8 x 10² N ) x cos (30)
Wx = 692.8 N
Thus, the horizontal force applied by the partner is a function of the horizontal component of the weight of the trapeze artist.
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