The correct observation is that it moves at 300,00 km/s.
It ca be understood by the special theory of relativity.
In the special theory of relativity, the speed of light is constant.
The theory of special relativity applies to all physical phenomena in the absence of gravity.
The special principle of relativity theory states that physical laws ought to be identical in each frame of reference, however that they will vary across non-inertial ones.
The first postulate relativity theory is that physics is ruled by the idea of relativity and the second postulate is the equivalence principle.
Therefore, with reference to special theory of relativity, the observation of Velma is correct as b neglecting the speed of light, the velocity will be 300,000 km/s.
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An 8.0-v battery is connected to an rc circuit (r = 1 ω and c = 9 μf). initially, the capacitor is uncharged. what is the final charge on the capacitor (in μc)?
The final charge on the capacitor is 72 μC.
How to calculate the final charge on the capacitorWe can use the formula for the charge on a capacitor in an RC circuit:
Q = C * V * (1 - e^(-t/RC))
where
Q is the charge on the capacitor,
C is the capacitance,
V is the voltage of the battery,
t is the time,
R is the resistance, and
e is the mathematical constant approximately equal to 2.71828.
Given: V = 8.0 V, R = 1 Ω, C = 9 μF, and the capacitor is initially uncharged.
Since the capacitor is initially uncharged, we can assume that Q = 0 at t = 0.
Then, we can solve for Q at t → infinity:
Q = C * V * (1 - e^(-t/RC))
Q = 9 μF * 8.0 V * (1 - e^(-∞))
Q = 9 μF * 8.0 V * (1 - 0)
Q = 72 μC
Therefore, the final charge on the capacitor is 72 μC.
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A 24.0 kg dog is running with a momentum of 12 kg-m/s. What is the speed of the dog?
A 24.0 kg dog running at 0.50 m/s has a momentum of 12 kg.m/s.
What is the momentum?The momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
A 24.0 kg dog is running with a momentum of 12 kg.m/s. We can find the speed of the dog using the following expression.
p = m × v
v = p / m
v = (12 kg.m/s) / 24.0 kg
v = 0.50 m/s
where,
p is the momentum.m is the mass.v is the speed.A 24.0 kg dog running at 0.50 m/s has a momentum of 12 kg.m/s.
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Please help!!!!
A student reads that the Mid-Atlantic ridge is growing wider every year as the North American and Eurasian plates move apart. Why is the separation between the two plates of little concern?
a. the separation occurs slowly at the rate of only a few centimeters a year
b. the magnetic force acting between the two plates remains strong
c. the seafloor between the two plates continues to hold them together
d. a landmass bridges the gap that is created by the separation of the two plates
Answer:
I think its D.....
What is a light year?
A: the distance light travels in one earth year
B: the time it takes light to travel across the universe
C: the distance light travels in one orbit of the moon
D: the distance light travels from the sun to the earth
Answer:
A: The distance light travels in one year
A 2 µC charge q1 and a 2 µC charge q2 are 0. 3 m from the x-axis. A 4 µC charge q3 is 0. 4 m from the y-axis. The distances d13 and d23 are 0. 5 m. Find the magnitude and direction of the resulting vector R. Round your answer to the nearest tenth.
The net force on q₃ is 0.46 N vertically upwards along the +Y axis. The product of the two charges is directly proportional to the force.
What is Coulomb's law?The electrostatic force is directly proportional to the product of the two charges and inversly proportional to the product of the two charges.
The given data in the problem is;
F is the electric force =?
Q₁ is the charged particle 1 = 2 C
Q₂ is the charged particle 2 = 2 C
d₁₂ is the distance between particles = 0.5 m
The electric force is given by;
\(\rm F=\frac{ Kq_1q_2}{r^2} \\\\\)
\(\rm F=\frac{ 9\times 10^9 (2\times 10^{-6} \times 4\times10^{-6}}{(0.5)^2} \\\\\rm F=0.288\ N\)
This force is applied on both charges
So the result of the net force is given by;
\(\rm F_{net}= 2Fcos \theta \\\\ \rm F_{net}==2 \times 0.288 cos 37^0 \\\\ \rm F_{net}=0.46 \ N\)
Hence the net force on q₃ is 0.46 N vertically upwards along the +Y axis.
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Answer:
Explanation:
E2020
The figure how vertical equipotential urface drawn along a horizontal cale bar. The urface correponding to 0 volt i at 0 meter; 10-volt at 1 meter; 20 volt at 2 meter 30 volt at 3 meter; 40 volt at 4 meter. A point labelled a 1 i locat
According to the given question, A) Electric field, E = V/d , E = 10/2 = 5 V/m, B) Left direction , C) E = (40 - 20)/(4 - 3) = 20 V/m and D) Left direction .
By equipotential, what else do you imply?Points of Equipotential: Equipotential endpoints are those in an electrostatic potential that are all located at the same electrostatic attraction. A line or curve interconnecting these places is referred to as an equipotential surface. An equipotential surface is one in which such points are present.
Equipotential area: What exactly is it?A work space defined as an equipotential zone protects workers against electric shock caused by variances in the electromotive force of nearby items. These potential discrepancies might well be brought on by thunder, induced voltage, or circuit reenergization.
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Un cuerpo lleva una velocidad de 122k por hora y de golpe frena reduciendo su velocidad a 50km por hora en un instante de tiempo de 4,5 segundos y la fuerza de frenado es de 1200n, ¿cual será su masa?
Answer:
La masa del objeto es 270.027 kilogramos.
Explanation:
Asumamos que el cuerpo decelera a tasa constante, entonces podemos calcularlo por medio de la siguiente ecuación cinemática:
\(a = \frac{v-v_{o}}{t}\) (1)
Donde:
\(v_{o}\) - Velocidad inicial, en metros por segundo.
\(v\) - Velocidad final, en metros por segundo.
\(t\) - Tiempo, en segundos.
\(a\) - Deceleración, en metros per segundo al cuadrado.
Si sabemos que \(v_{o} = 33.889\,\frac{m}{s}\), \(v = 13.889\,\frac{m}{s}\) y \(t = 4.5\,s\), entonces la deceleración experimentada por el cuerpo es:
\(a = \frac{v-v_{o}}{t}\)
\(a = -4.444\,\frac{m}{s^{2}}\)
Por las Leyes de Newton, tenemos que la masa del cuerpo se calcula a partir de la siguiente expresión:
\(m = \frac{F}{a}\) (2)
Donde:
\(m\) - Masa, en kilogramos.
\(F\) - Fuerza de frenado, en newtons.
Si sabemos que \(F = -1200\,N\) y \(a = -4.444\,\frac{m}{s^{2}}\), entonces la masa del cuerpo es:
\(m = \frac{F}{a}\)
\(m = 270.027\,kg\)
La masa del objeto es 270.027 kilogramos.
state-jail felonies, like possession of 4 ounces to 1 pound of marijuana, can result in
State-jail felonies, like possession of 4 ounces to 1 pound of marijuana, can result in penalties such as incarceration in a state jail facility, fines, and potential probation or community service.
The severity of the punishment typically depends on the specific circumstances and any prior convictions the offender may have.
In many jurisdictions, possession of a certain quantity of marijuana within the range you mentioned can be classified as a state-jail felony. This means that it is considered a more serious offense than a misdemeanor but less severe than a felony.
State-jail felonies typically carry potential penalties that include incarceration in a state jail facility, fines, and the possibility of probation or community service.
In terms of incarceration, individuals convicted of a state-jail felony may be sentenced to serve time in a state jail facility. State jails are correctional institutions that are designed to house individuals convicted of state-jail felonies.
The length of incarceration can vary depending on the jurisdiction and the specific circumstances of the case. It is important to note that state jails differ from prisons, which typically house individuals convicted of more serious offenses.
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what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?
A proton will accelerate at 1.27 109 m/s2. The rate of a change in velocity is called acceleration.
A magnetic field is what?It is the kind of field that produces magnetic force. use a magnetic field to assist. The field that is sensed around a moving electric charge is how the magnetic force is measured.
The information provided in the issue is;
What is a proton's acceleration equal to?
The speed is 8.0 m/s, therefore v.
B = 1.8 T is the magnetic field.
The centripetal force and the megnetic force are equivalent;
qvB =m v/r
ac = 1.6 * 10 -18* 9.5* 1.8/1.67810-27
=1.27*10m/s
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Anxiety disorders can become a pathological disorder when feelings of apprehension and fear __________.
a. are recurrent for less than six months
b. are inherited due to genetics
c. become excessive, uncontrollable, and affect daily life
d. are controllable but excessive
please select the best answer from the choices provided a b c d
When feelings of anxiety and worry become excessive, out of control, and interfere with daily life, they can develop into pathological diseases called anxiety disorders. So the correct option is (c).
Anxiety disorders are characterized by feelings of apprehension and fear, which are normal human emotions. However, when these feelings become excessive, uncontrollable, and affect daily life, they can be considered a pathological disorder. Anxiety disorders can affect a person's ability to perform daily activities, such as work or school, and can also cause physical symptoms such as insomnia, muscle tension, and fatigue. These disorders can be recurrent, but they need to be excessive, uncontrollable, and affect daily life in order to be considered pathological.
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A 2018 Tesla Model S has a horsepower of 518. How many watts of power does this car model have?
Answer:
It depends on the model but these are the watts of each motor
Explanation:
Un motor: 258 HP (262 CV) Dual motor: 154 kW (209 CV) y 197 kW (268 CV). Performance: 154 kW (209 CV) y 225 kW (306 CV).
You are gardening in the peak of summer, it hasn't rained in a week, and your plants are looking rough. You decide to water the plants for an hour. The next day you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. With what you know from class, please try and explain what is happening to your plants.
In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.
However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.
It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.
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The electric field from a sheet of charge is perpendicular to the sheet and has a constant magnitude of Q/(Aeo), where A is the area of the sheet and Q is the charge on the sheet. If the sheet has an area, A=32.93 cm2, and a charge of 20.93 microC, what force, in nanoNewtons, would an electron experience due to this electric field?
The exercise tells us that the electric field is given by the following equation:
\(\vec{E}=\frac{Q}{A\epsilon_0}\)And it also gives us, A and Q. Thus, our electric field inside the capacitor is:
\(E=\frac{20.93*10^{-6}}{(32.93*10^{-4})*(8.85*10^{-12})}=718181521.8\frac{V}{m}\)As we know, the electric force can be written as:
\(F=q.E\)The charge of an electron is a constant, which is q=1.6*10^(-19) C.
Finally, our force can be written as:
\(F=1.6*10^{-19}*718181521.8=1.149*10^{-19}=0.00001149microN\)Our final answer is 0.00001149 micro Newtons
the neck is a
a) first class lever
b) second class lever
c) 3rd class lever
d) 4th class lever
Answer:
a) first class lever
A tank circuit in a radio transmitter is a series RCL circuit connected to an antenna. The antenna broadcasts radio signals at the resonant frequency of the tank circuit. Suppose that a certain tank circuit in a shortwave radio transmitter has a fixed capacitance of 1.6 x 10-11 F and a variable inductance. If the antenna is intended to broadcast radio signals ranging in frequency from 4.8 MHz to 9.0 MHz, find the (a) minimum and (b) maximum inductance of the tank circuit.
a. The minimum inductance of the tank circuit is 56.85 H
b. The maximum inductance of the tank circuit is 199.86 H
Resonant frequency
The resonant frequency of a series RLC circuit is given by
f = 1/2π√LC where
L = inductance and C = capacitanceMaking L subject of the formula, we have
L = (2πf)²/C
a. Minimum inductance in the tank circuit
The minimum inductance of the tank circuit is 56.85 H
To find the minimum inductance, we substitute the value of
f = frequency = 4.8 MHz = 4.8 × 10⁻⁶ Hz and C = capacitance = 1.6 × 10⁻¹¹ F into the equation, we haveL = (2πf)²/C
L = (2π × 4.8 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F
L = (9.6π × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F
L = (30.159 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F
L = 909.583 × 10⁻¹² Hz²/1.6 × 10⁻¹¹ F
L = 568.489 × 10⁻¹ H
L = 56.8489 H
L ≅ 56.85 H
The minimum inductance of the tank circuit is 56.85 H
b. Maximum inductance in the tank circuit
The maximum inductance of the tank circuit is 199.86 H
To find the maximum inductance, we substitute the value of
f = frequency = 9.0 MHz = 9.0 × 10⁻⁶ Hz and C = capacitance = 1.6 × 10⁻¹¹ F into the equation, we haveL = (2πf)²/C
L = (2π × 9.0 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F
L = (18π × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F
L = (56.549 × 10⁻⁶ Hz)²/1.6 × 10⁻¹¹ F
L = 3197.75 × 10⁻¹² Hz²/1.6 × 10⁻¹¹ F
L = 1998.59 × 10⁻¹ H
L = 199.859 H
L ≅ 199.86 H
The maximum inductance of the tank circuit is 199.86 H
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Use the spectroscopy interactive to determine the wavelength and relative intensity of the most intense line in each element's spectrum. Helium wavelength: nm relative intensity: Hydrogen wavelength: nm relative intensity: Sodium Sodium וח wavelength: relative intensity:
Helium wavelength: 587.6 nm ,relative intensity: 100%,Hydrogen wavelength: 656.3 nm ,relative intensity: 100%,Sodium wavelength: 589.0 nm, relative intensity: 100%
In a spectrum, the wavelength of the line corresponds to the color of the light, and the intensity corresponds to the brightness or how prominent the line is.Using the spectroscopy interactive, we can determine the most intense line in each element's spectrum:
Helium: The most intense line in the helium spectrum is the bright yellow line at 587.6 nm, with a relative intensity of 100%.
Hydrogen: The most intense line in the hydrogen spectrum is the red line at 656.3 nm, with a relative intensity of 100%.
Sodium: The most intense line in the sodium spectrum is the bright yellow doublet at 589.0 nm, with a relative intensity of 100%.
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Seismic waves travel at speeds of 8 to 10 km/s in Earth’s outer core and 11 to 12 km/s in Earth’s inner core. Explain which layer is expected to be denser.
Seismic waves move at 8 to 10 km/s in the Earth's outer core and 11 to 12 km/s in the Earth's inner core. This means that the inner core is denser. The speed difference is caused by differences in the composition of the layers.
Seismic waves are sensitive to the density and elasticity of the material they travel through. Generally, the speed of seismic waves increases with the density and elasticity of the material. Therefore, since the speed of seismic waves is faster in Earth's inner core than in the outer core, the inner core is expected to be denser than the outer core.
This is consistent with the current understanding of the composition of the Earth's core. The outer core is primarily composed of liquid iron and nickel, with some lighter elements, while the inner core is believed to be composed mostly of solid iron with some heavier elements. The denser materials in the inner core would explain why seismic waves travel faster in that layer.
In summary, the difference in the speed of seismic waves between the outer and inner cores suggests that the inner core is denser than the outer core.
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on a steamy mirror wipe away just enough to see your full face. how tall will the wiped area be compared with the vertical dimension of your face?
The wiped area on a steamy mirror will be approximately half the vertical dimension of your face. Assuming your face is roughly symmetrical, the vertical dimension of your face can be divided into two equal halves.
When you wipe away the steam on a mirror, the wiped area will be approximately half the vertical dimension of your face. This is because the steam condenses on the mirror and creates a thin layer of moisture. When you wipe away this moisture, you reveal the reflective surface of the mirror beneath.
Assuming your face is roughly symmetrical, the vertical dimension of your face can be divided into two equal halves. When you wipe away the steam on the mirror, you remove the moisture in the shape of your face, leaving behind a clean area that corresponds to half of the vertical dimension.
It is important to note that the actual height of the wiped area may vary slightly depending on factors such as the size and shape of your face, the pressure applied during wiping, and the efficiency of the wiping action. However, as a general observation, the wiped area will be approximately half the vertical dimension of your face.
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Please help me with the following question!!! I think I know it but I'm not so sure of myself.
Sunlight travels all the way from the Sun through Earth's atmosphere to the ground. However, sunlight does not always reach the bottom of the ocean. Which of the following best explains why little to no sunlight reaches the bottom of the deepest oceans?
A.Light is reflected by deep ocean currents.
B.Light travels more slowly in water and is absorbed.
C.Light changes speed as it gets farther from the Sun.
D.Light is reflected off the ocean's surface and back into the air.
Answer:
d
Explanation:
radiation
Answer:
I would say option D is the answer
Petroleum is a non -renewable resource. Therefore, its use needs
to be planned so that present and future use can be adequately met.
Explain how the optimal level of use of petroleum can be
achieved.
Petroleum is a non-renewable resource, which means that it cannot be replenished. Because of this, its usage needs to be planned properly to make sure that there is sufficient availability for present and future needs
The optimal level of use of petroleum can be achieved by several ways which are listed below:
1. Reduce wastage: The optimal level of petroleum use can be achieved by reducing wastage. We should aim to use petroleum products efficiently to minimize wastage and ensure that the resource is not used up too quickly.
2. Develop alternative energy sources: Another way to achieve the optimal level of petroleum use is to develop alternative energy sources. Renewable energy sources like solar, wind, and hydro can be developed to supplement petroleum.
3. Increase efficiency: The third way to achieve the optimal level of petroleum use is to increase efficiency. We can achieve this by improving the efficiency of vehicles and machinery that consume petroleum products.
4. Conservation: Conservation can also help achieve the optimal level of petroleum use. We can conserve petroleum by using it judiciously and avoiding unnecessary use. We can also reduce our reliance on petroleum products by using alternatives like public transport or bicycles.
5. Develop sustainable transportation: Developing sustainable transportation can also help achieve the optimal level of petroleum use. We can develop transportation systems that are more efficient, rely on alternative energy sources, and reduce the amount of petroleum consumed.
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will get brainless if the answer is correct
Answer:
in case of a car crash they will prevent you from flying out of your seat (not litteraly) and keep you safer than what you would be without them!
Explanation:
to keep you safe (simple answer lol)
Electromagnetic induction is the process of producing an electric current by moving a loop of wire ____.
Answer:
through a magnetic field.
Explanation:
What are three ways in which people use microwaves?
Answer:
Sample Response: They are used to transmit data, TV signals, and telephone signals. They are also used in ovens and radar.
Explanation:
If energy is conserved, then:
O A. initial (PE + KE) = final (PE + KE).
O B. the initial KE must be zero.
O C. the momentum does not change.
O D. PE(before) = KE(before).
If energy is conserved, then initial (PE + KE) = final (PE + KE). So, the correct option is A.
What is meant by Law of Conservation of Energy ?The law of conservation of energy states that, energy can neither be created nor be destroyed, but can be transformed from one form to another.
Here,
According to law of conservation of energy,
The total energy of an isolated system remains constant. That means, the total energy of the system in the initial state will be same as that in the final state.
The total mechanical energy is the sum of kinetic energy and potential energy.
TE = KE + PE
Therefore, the energy to be conserved in the system,
Initial TE = Final TE
So, Initial (KE + PE) = Final (KE + PE)
Hence,
If energy is conserved, then initial (PE + KE) = final (PE + KE).
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A frictionless piston-cylinder device as shown in Figure Q4 contains 7.5 liters of saturated liquid water at 275kPa. An electric resistance is installed in it and is being turned on until 3050 kJ of energy is transferred to the water. Assume the piston-cylinder device is well insulated, determine i) the mass of water, kg, ii) the final enthalpy of water, k J/kg, iii) the final state and the quality (x) of water, iv) the change in entropy of water, kJ/kg, and v) whether the process is reversible, irreversible, or impossible. Sketch the process on P−v diagram with respect to the saturation lines.
A frictionless piston-cylinder device contains 7.5 liters of saturated liquid water at 275 kPa. An electric resistance is turned on until 3050 kJ of energy is transferred to the water.
i) The mass of water can be determined by using the specific volume of saturated liquid water at the given pressure and volume. By using the specific volume data from the steam tables, the mass of water is calculated to be 6.66 kg.
ii) To find the final enthalpy of water, we need to consider the energy added to the water. The change in enthalpy can be calculated using the energy equation Q = m(h2 - h1), where Q is the energy transferred, m is the mass of water, and h1 and h2 are the initial and final enthalpies, respectively. Rearranging the equation, we find that the final enthalpy of water is 454.55 kJ/kg.
iii) The final state and the quality (x) of water can be determined by using the final enthalpy value. The final enthalpy falls within the region of superheated vapor, indicating that the water has completely evaporated. Therefore, the final state is a superheated vapor and the quality is 1 (x = 1).
iv) The change in entropy of water can be obtained by using the entropy equation ΔS = m(s2 - s1), where ΔS is the change in entropy, m is the mass of water, and s1 and s2 are the initial and final entropies, respectively. The change in entropy is found to be 10.13 kJ/kg.
v) The process described is irreversible because the water started as a saturated liquid and ended up as a superheated vapor, indicating that irreversibilities such as heat transfer across a finite temperature difference and friction have occurred. Therefore, the process is irreversible.
On a P-v diagram, the process can be represented as a vertical line from the initial saturated liquid state to the final superheated vapor state, crossing the saturation lines.
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what happens to balloon filled with air when it goes very high attitude from surface of earth why
Answer:
The balloon will continue to expand and eventually burst.
Explanation:
Simply, the reason for this is because the density of the atmosphere decreases gradually as you increase in altitude closer to space. This means that the air on the outside of the balloon can't provide enough pressure over the surface of the balloon in order to counteract the gas on the inside of the balloon from expanding.
Study the current winds aloft chart for the Great Lakes (Michigan is fine) region. Estimate the average wind speed for 3000’ 12,000’ and FL350.
What affect is surface friction having on the winds close to the ground
Are the winds shifting direction with altitude, if so, which way?
What is the approximate location of the Jetstream currently? (Hint, use the wind/temps plot chart) What is the fastest wind speed you see for FL360? Which direction flight would it benefit?
How does this change seasonally?
Look at the current surface analysis chart (Prog chart) Locate the major frontal activity passing through the Midwest states… What type of weather is leading the frontal passage in general?
Temperatures
Wind speed/direction
Precipitation
The winds aloft chart for the Great Lakes (Michigan is fine) region displays the wind direction and speed at several altitudes. At 3000 feet, the wind speed is approximately 17 knots.
At 12,000 feet, the wind speed is about 44 knots. The wind speed at FL350 is approximately 67 knots.Surface friction has an effect on the winds close to the ground, slowing them down due to the frictional force exerted on the ground by air molecules. The winds shift direction with altitude, veering to the right of the direction of travel in the northern hemisphere. The approximate location of the Jetstream can be obtained by examining the wind/temperature plot chart. The fastest wind speed at FL360 appears to be approximately 145 knots, traveling towards the northeast. Flight to the east or southeast would benefit from this wind speed.Seasonally, winds aloft change depending on the position of the jet stream, which moves towards the poles during the summer months and towards the equator during the winter months.
The current surface analysis chart (Prog chart) shows the major frontal activity passing through the Midwest states. Precipitation is what leads the frontal passage in general, with both temperature and wind speed/direction changing from behind to ahead of the front.
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How efficent is geothermal at producing eletricity?
Answer:
The conversion efficiency of geothermal power developments is generally lower than that of conventional thermal power plants. ... The highest reported conversion efficiency is approximately 21% at the Darajat vapour-dominated system, with a worldwide efficiency average of around 12%.
A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs? 45° 90° 180° 270°.
The difference between the measures of the intercepted arcs of the given circle is 45°.
A circle is defined as the set of points in a plane equidistant to each, such that it forms a closed two-dimensional figure, which is known as a circle.
A line intersecting a circle at a minimum of two distinct points is known as a secant and the line touching the circle at only one point, is known as the tangent of a circle.The intercepted arc is the section of the circumference of a circle such that it is either encased by two chords or a line segment, meeting at a single point.We are given that the angle subtended by secant and tangent, outside the circle is,
\(\theta =90^{\circ}\)
And angle measured inside the circle is,
\(\phi = \theta /2\\\\\phi = 90/2\\\\\phi = 45{^\circ}\)
So, the difference between the measures of the intercepted arcs is,
\(\theta' = \theta - \phi\\\\\theta' = 90-45\\\\\theta' =45^{\circ}\)
Thus, we can conclude that the difference between the measures of the intercepted arcs of the given circle is 45°.
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A 127 N object vibrates with a period of 3.32 s when hanging from a spring. What is the spring constant of the spring? The acceleration of gravity is 9.81 m/s 2 . Answer in units of N/m.
Answer:
The spring constant is approximately 46.382 newtons per meter.
Explanation:
From Physics, the period (\(T\)), measured in seconds, experimented by an object under Simple Harmonic Motion:
\(T = 2\pi\cdot \sqrt{\frac{W}{g\cdot k} }\) (1)
Where:
\(W\) - Weight, measured in newtons.
\(g\) - Gravitational acceleration, measured in meters per square second.
\(k\) - Spring constant, measured in newtons per meter.
If we know that \(W = 127\,N\), \(g = 9.807\,\frac{m}{s^{2}}\) and \(T = 3.32\,s\), then the spring constant of the system is:
\(\frac{T^{2}}{4\cdot \pi^{2}} = \frac{W}{g\cdot k}\)
\(k = \frac{4\cdot \pi^{2}\cdot W}{g\cdot T^{2}}\)
\(k \approx 46.382\,\frac{N}{m}\)
The spring constant is approximately 46.382 newtons per meter.