The magnetic field strength (in Tesla) created at the center of a motor with 32.0 A passing through a 240-turn circular loop with a radius of 10.0 cm can be calculated using the equation
B (Tesla) = u₀ * N * I / (2 * π * r)
Where u₀ is the permeability of free space, N is the number of turns, I is the current and r is the radius.
In this case, the magnetic field strength can be calculated as B = 4π * 10⁻⁷ * 240 * 32.0 / (2 * π * 0.1) = 0.384 Tesla.
A magnetic field is a region in space where a magnetic force acts on particles that possess a magnetic moment. Magnetic fields are created by electric currents, either natural or artificial. The Earth’s magnetic field is created by its liquid outer core, while artificial magnetic fields are created by electric currents in coils of wire. Magnetic fields can exert forces on particles that possess a magnetic moment, and can be used to manipulate those particles in a variety of ways.
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Describe a a simple scheme for setting up any clay based enterprise in Nepal.
Explanation: Forest-Based Micro and Small Enterprises (FMSEs) are a major source of income for both rural and urban areas of most developing countries, and Nepal is no exception. Though not given enough priority compared to large-scale enterprises, FMSEs have contributed substantially to supporting the livelihoods of marginalized and low-income people by generating employment opportunities throughout the developing world. FMSEs provide employment to a large number of rural people in Nepal who have limited access to other off-farm employment opportunities, however, they are not growing well due to the ineffectiveness of enterprise promotion activities. Different enterprise promotion approaches are being implemented in Nepal by External Development Agencies (EDAs) in collaboration with local Community-Based Organizations (CBOs).In this review, we analyzed the effectiveness of existing FMSEs’ intervention approaches followed by EDAs, current status and constraints, and possible scopes of FMSEs in Nepal with reference to other developing countries. Five implementing approaches that are currently adopted by EDAs in Nepal have succeeded in the promotion of FMSEs to some extent. However, those approaches do still need to be improved in order to fully suit local contexts. In this respect, we suggest an Integrated FMSEs Development approach for Nepal and other developing countries coupled with some recommendations.
A 21.1 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The bottom of the ladder rests on a floor with a rough surface where the coefficient of static friction is 0.14 . The angle between the horizontal and the ladder is θ . The person wants to climb up the ladder a distance of 0.88 m along the ladder from the ladder’s foot. What is the minimum angle θmin (between the horizontal and the ladder) so that the person can reach a distance of 0.88 m without having the ladder slip? The acceleration of gravity is 9.8 m/s 2 . Answer in units of ◦
The minimum angle so that the person can reach a distance of 0.88 m without having the ladder slip is 8⁰.
What is the weight of the person?The weight of the person is calculated by applying the following formula.
W = mg
where;
m is the mass of the persong is acceleration due to gravityW = ( 21.1 kg x 9.8 m/s² )
W = 206.78 N
The force of friction is calculated as;
Ff = μW
where;
μ is coefficient of frictionFf = 0.14 x 206.78
Ff = 28.95 N
If the person must not fall, the clockwise moment must be equal to anticlockwise moment.
28.95 x 0.88 x cosθ = 206.78 x 0.88 x sinθ
28.95 x cosθ = 206.78 x sinθ
28.95 / 206.78 = sinθ / coθ
28.95 / 206.78 = tanθ
θ = arc tan ( 28.95 / 206.78 )
θ = 8⁰
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at what latitude is the sun directly overhead on april 22
The latitude where the sun is directly overhead on April 22nd is called the subsolar point.
The sun is directly overhead at the equator on the spring and autumn equinoxes, which occur around March 20th and September 22nd respectively. On April 22nd, the sun is not directly overhead at the equator, but it is overhead at a latitude in the tropics, close to the equator.
To be more precise, the latitude where the sun is directly overhead on April 22nd is called the subsolar point, and it changes slightly from year to year due to the elliptical shape of Earth's orbit around the sun. On average, the subsolar point on April 22nd is around Latitude 10° N. However, to get an exact value for a specific year, you would need to perform calculations based on the exact position of the Earth in its orbit.
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Distortion at the highest levels of magnification is decreased by
Select one:
a. using a lens with a smaller numerical aperture.
b. the use of immersion oil.
c. using a longer wavelength of light.
d. using a lower-power objective lens.
Distortion at the highest levels of magnification is decreased by (b). the use of immersion oil is correct option.
The fact that magnification does not appear as a variable in any of these equations is significant because specimen resolution is solely determined by numerical aperture and illumination light wavelength. The wavelength of light plays a significant role in the resolution of a microscope, as we have already explained (and can be seen in the calculations).
Therefore, it is preferable to utilize lower magnification objectives with a modest numerical aperture in specimens where resolution is less important and magnifications can be reduced in order to produce images with a greater working distance and greater depth of field.
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which of the arrows in the energy-level diagram represent absorption of energy and which represent emission of energy? items (6 items) (drag and drop into the appropriate area below)
The arrow pointing downwards ↓ represents emission of energy from higher excited state to lower excited state whereas the arrow pointing upwards ↑ represents the absorption of energy from lower excited state to higher excited state.
In a process known as absorption, an atom takes on energy from its surroundings to move from its ground state to its excited state. After taking in the energy, the electron ascends to a higher energy level.
Conservation of momentum can be applied here because the electron only takes in energy when it is exactly in line with its energy gap. Because photons and electrons have wavelengths that are nearly identical, you can say that electrons absorb energy.
When electrons regain their energy levels, they emit. When electrons absorb energy, they move to higher energy levels. By revealing the number of energy levels and the space between them, light absorption and emission reveal details about an atom's atomic structure.
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when the silver was filtered from the solution, dried, and weighed, the mass was actually found to be 420g. explain why there might be this difference between the expected and actual values. [2 marks]
Loss of material during filtration, Incomplete drying, Impurities in the solution, Accuracy of measurements, and Instrumental error are some of the reasons due to difference between actual and expected values when silver is filtered.
Reasons for difference in values in filtration of silver:
Loss of material during filtration: Some of the silver might have remained stuck to the filter paper, or it might have been lost in the filtrate. This would result in a lower actual mass.Incomplete drying: If the silver was not completely dried before weighing, it might contain some water, which would add to its mass. This would result in a higher actual mass.Impurities in the solution: The solution might contain impurities that were not taken into account when calculating the expected mass of silver. These impurities would increase the actual mass.Accuracy of measurements: The expected mass of silver was calculated based on the volume and concentration of the silver solution, but any inaccuracies in these measurements would also affect the expected mass.Instrumental error: The scale used to weigh the silver might not have been calibrated correctly or might have had some other error, leading to an incorrect actual mass.Learn more about filtration here:
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what is the spontaneous direction of change? 1. toward product formation 2. in equilibrium 3. unable to determine 4. toward reactant formation
The spontaneous direction of change in equilibrium. This indicates that, in the absence of any external influence, a reaction will proceed in the direction that leads to the formation of products rather than reactants.
The natural flow of change is toward product formation. The reaction will continue until it achieves a condition of chemical equilibrium when the rate of product formation equals the rate of reactant formation. The spontaneous direction of change is balanced in both directions at chemical equilibrium, which means that the rate of the forward reaction equals the rate of the reverse reaction. The concentrations of reactants and products remain constant, and the system undergoes no net change. In other words, the system is in a condition of dynamic balance, with forward and reverse responses occurring at equal rates all the time.
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find the amount of electrical energy expended raising the temperature of 45 liters of water by 75°c assume the efficiency of the heating equipment to be 90%?
The amount of electrical energy expended raising the temperature of 45 liters of water by 75°C with 90% efficiency is 16,100 J.
The amount of energy required to raise the temperature of 45 liters of water by 75°C can be calculated as follows:
First, we need to calculate the heat required to raise the temperature of the water. The heat required can be calculated using the formula:
Q = mcΔT
where Q is the heat, m is the mass of the water (in kilograms), c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the change in temperature (75°C).
Since 1 liter of water weighs 1000 grams, the mass of 45 liters of water is 45 x 1000 = 45,000 grams or 45 kilograms. So,
Q = 45 x 4.184 x 75 = 14,490 J
Next, we need to take into account the efficiency of the heating equipment. If the efficiency is 90%, then only 90% of the energy input is used to heat the water, and the rest is lost as heat to the environment. So, the energy required to heat the water is:
E = Q / 0.9 = 14,490 / 0.9 = 16,100 J
Therefore, the amount of electrical energy expended raising the temperature of 45 liters of water by 75°C with 90% efficiency is 16,100 J.
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does cloud spins faster due to conservation of angular momentum. or gravitational potential energy is converted to kinetic energy ?
Cloud spins faster due to conservation of angular momentum and not due to the conversion of gravitational potential energy is to kinetic energy.
Conservation of angular momentum states that the total angular momentum of a closed system remains constant over time, so as the cloud spins faster, the angular momentum must remain the same, meaning that the angular velocity must increase. On the other hand, gravitational potential energy is converted to kinetic energy. Gravitational potential energy is energy stored in an object due to its position in a gravitational field, and this energy is converted to kinetic energy as the object moves.
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two divers jump from a 3.00-m platform. one jumps upward at ch 1.80 m/s, and the second steps off the platform as the first passes it on the way down. (a) what are their speeds as they hit the water? (b) which hits the water first and by how much?
(a) The first diver enters the water at 1.80 m/s, whereas the second diver enters the water at 0 m/s.
(b) The first diver hits the water first by 3.00 m.
What speed do they have when they enter the water?
The steps for this process are as follows
1. The first diver jumps upward at an initial speed of 1.80 m/s.
2. The second diver steps off the platform at the same time as the first diver passes it on the way down.
3. The first diver experiences acceleration due to gravity and its velocity decreases as it falls.
4. The second diver has no initial velocity, so its velocity remains zero as it falls.
5. The first diver and second diver both reach the water at the same time, with the first diver having a velocity of 1.80 m/s and the second diver having a velocity of 0 m/s.
Which and by how much hits the water first?
The steps for this process are as follows
1. The first diver has an initial speed of 1.80 m/s, and the second diver has no initial speed.
2. The first diver accelerates due to gravity and falls faster than the second diver.
3. The first diver will reach the water 3.00 m before the second diver due to its initial speed.
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a train has a scheduled run of 140km between two cities in saskatchawan. the total trip takes 8.5 hours. if the average speed is decreased by 6km/h, what is the average speed of the train
The average speed of the train would be 10.5 km/h if the average speed is decreased by 6 km/h.
The average speed of a train can be calculated by dividing the total distance traveled by the total time taken. In this case, the train has a scheduled run of 140 km and the total trip takes 8.5 hours, so the average speed is:
Average speed = Total distance ÷ Total time = 140 km ÷ 8.5 hours = 16.5 km/h
If the average speed is decreased by 6 km/h, the new average speed of the train would be:
New average speed = Average speed - Decrease in average speed = 16.5 km/h - 6 km/h = 10.5 km/h
Therefore, average speed is 10.5 km/h
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what sentence comes before the following sentence, "tell me, then—is not that which is pious necessarily just
Then I must be better than Daedalus because I move other people's inventions as well, whereas he just made his own devices to move. The pious is what the gods admire, while the impious is what they despise.
Therefore, all pious deeds are pious in the sense that they are beloved by the gods. There is enough generalization. In fact, Euthyphro's defence of the first proposal contains an implicit reference to this generalization. The gods cherish the righteous. Acts are pious because the gods love them, according to Euthyphro, but the gods love them because they are pious. This amounts to arguing that acts are pious because they are pious, which is absolutely absurd.
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complete question: Give the first sentence of the paragraph in which the following question occurs, "Tell me, then—Is not that which is pious necessarily just?
What is the evidence for dark intergalactic clouds between us and quasars? The emission lines in quas spectra are very broad. We observe the21 cmhydrogen spectral line in quasars. Quasar spectra show absorption lines of gas at various redshifts.X-rays from quasars change periodically as they pass through rotating intergalactic clouds
Dark intergalactic clouds are regions of the universe where there is a high concentration of neutral hydrogen, which absorbs light from distant sources, such as quasars.
This leads to a phenomenon known as Lyman-alpha absorption, in which the hydrogen clouds cause a reduction in the intensity of light from the quasars at specific, well-defined wavelengths in the ultraviolet part of the spectrum. This reduction in intensity is characterized by absorption lines, which appear as dark lines in the spectrum of the quasar. One of the main pieces of evidence for the existence of dark intergalactic clouds comes from studies of quasar spectra. By analyzing the spectra of distant quasars, astronomers have been able to detect a large number of absorption lines, which they attribute to neutral hydrogen in the intergalactic medium. The properties of these lines, such as their width, depth, and spacing, provide information about the physical conditions in the absorbing clouds, such as temperature, density, and chemical composition. Another piece of evidence comes from observations of the cosmic microwave background radiation, which is the afterglow of the Big Bang. The CMB provides a snapshot of the universe when it was just 380,000 years old, and the neutral hydrogen in the intergalactic clouds would have left a imprint on the CMB by scattering photons in the early universe. By looking at the CMB, astronomers have been able to confirm the presence of large regions of neutral hydrogen in the intergalactic medium, which are consistent with the existence of dark intergalactic clouds. Overall, the evidence for dark intergalactic clouds comes from the combination of these observations, which all point towards the presence of large, dense clouds of neutral hydrogen that are distributed throughout the universe. These clouds play a crucial role in the evolution of the universe, as they provide the raw material for the formation of stars and galaxies.
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CAN SOMEBODY HELPPP MEEE WITH THISS!! i need help
The circuit is considered open up until the switch is thrown open. When the switch is closed, the circuit establishes a closed loop path.
What happens to current when a switch is closed?
A closed loop path is established in the circuit when the switch is closed. When the switch is closed, a current begins to flow if there is any source or charged capacitors within. In essence, that means that when you turn on a light, you're actually turning off the internal circuit to turn on the bulb.Since the capacitor is originally uncharged, the current is zero when the switch is closed, and the rate of change of current at that moment is V L.The initial condition employed is that the current is V R, an instantaneous change from zero current, assuming that the capacitor has no charge when the switch is closed.To learn more about circuit refer to:
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as per fcp what is the minimum width of a corridor for apartments with a required capacity of more than 50 persons? a) 0.91 m. b) 1.00 m. c) 1.10 m.
According to the FCP, the minimum width of a corridor for apartments with a required capacity of more than 50 persons is 1.10 meters (c).
The minimum width of a corridor for apartments with a required capacity of more than 50 persons is specified by the Fire Code of the Philippines (FCP). The FCP sets the minimum requirements for fire safety in buildings and other structures, including the width of corridors.
According to the FCP, the minimum width of a corridor for apartments with a required capacity of more than 50 persons is 1.10 meters (c). This width is necessary to ensure that people can evacuate the building safely in case of a fire. A wider corridor allows for a greater number of people to move through it at the same time, reducing the risk of congestion and increasing the speed of evacuation.
In addition to the minimum width, the FCP also specifies other requirements for fire safety in apartments, such as the type and placement of fire alarms, the provision of fire escapes, and the installation of fire-resistant doors and walls.
It is important for builders and designers to follow these requirements to ensure the safety of residents in the event of a fire. Building owners and managers should also regularly inspect and maintain fire safety systems to ensure that they are functioning properly and to minimize the risk of fire.
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how many amperes will a 28-volt generator be required to supply to a circuit containing five lamps in parallel, three of which have a resistance of 6 ohms each and two of which have a resistance of 5 ohms each?
The current required to supply to the circuit containing five lamps in parallel is 25.2 amperes. The result is obtained by using the equation in parallel electrical circuit and Ohm's law.
What is parallel electrical circuit?A parallel electrical circuit is an electrical circuit where all the components are connected in rows or stacked.
In parallel circuit, the resistance, voltage, and current can be determined as
1/Rp = 1/R₁ + 1/R₂ + 1/R₃ + ....
V = V₁ = V₂ = V₃ = ...
I = I₁ + I₂ + I₃ = .....
A generator has
Supply voltage, V = 28 voltsFive lamps in parallel, R₁ = R₂ = R₃ = 6 ohms and R₄ = R₅ = 5 ohmsFind the current required!
We count the total resistance.
Since the five lamps are in parallel circuit, the total resistance is
1/Rp = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + 1/R₅
1/Rp = 1/6 + 1/6 + 1/6 + 1/5 + 1/5
1/Rp = 3/6 + 2/5
1/Rp = 1/2 + 2/5
1/Rp = 5/10 + 4/10
1/Rp = 9/10
Rp = 10/9 ohms
Using the Ohm's law, we get the current required.
I = V/R
I = 28 volts / (10/9) ohms
I = 28 × 9/10
I = 25.2 amperes
Hence, to supply to the parallel circuit containing five lamps, the generator requires a current of 25.2 amperes.
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a coil of copper wire has a resistance of 100 Ω when its temperature is 0°c. determine its resistance at 70°c if the temperature coefficient of resistance of copper at 0°c is 0.0043/°c.
The resistance of copper wire is 130.1Ω when it is at 70°c if the temperature coefficient of resistance of copper at 0°c is 0.0043/°c.
Given the resistance of copper wire (R1) = 100 Ω
The resistance is at a temperature of (T1) = 0°c.
The temperature change is (T2) = 70°c
The temperature coefficient of resistance of copper at 0°c is = 0.0043/°c.
The resistance at 70°c = R2
We know that Resistance at particular temperature is calculated as:
Rθ = R0(1+αθ)
R2 = 100(1 + 0.0043x70)
R2 = 130.1Ω
The resistance of resistor at 70°c is 130.1Ω
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Which of the following reports the relative strength of an ultrasound wave?
A. decibels
B. watts
C. W/cm^2
D. pascals
W/cm^2 reports the relative strength of an ultrasound wave so option c is correct.
An ultrasound wave is a type of sound wave that has a frequency higher than humans can hear. It is used in medical imaging and other applications. When measuring the strength of an ultrasound wave, it is important to understand which of the following reports the relative strength.
The answer is C. W/cm^2, which stands for watts per square centimeter. This unit of measure is used to report the relative strength of an ultrasound wave. It is calculated by dividing the total amount of power (measured in watts) by the area (measured in cm^2). This measure of relative strength is the most common way to compare different ultrasound waves, as it takes into account both the intensity of the wave and the area over which it is spread.
Decibels (A) measure sound intensity, but they are not the best way to measure the relative strength of an ultrasound wave. Watts (B) measure the total power of the wave, but do not take into account the area over which the wave is spread. Pascals (D) measure pressure, but they are not the best measure of relative strength for an ultrasound wave.
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Write the factors on which drag depends.
Answer:
Explanation:
The drag depends upon mainly four factors:
1) Size of the object
2) Shape of the object
3) Speed of the object
4) Nature of the object
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You are a member of an alpine rescue team and must get a box of supplies, with mass 3.00 kg , up an incline of constant slope angle 30.0 ∘ so that it reaches a stranded skier who is a vertical distance 2.60 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10−2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s2 .
Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.
Express your answer numerically, in meters per second.
You must give the box the minimum speed of 4.56 m/s at the bottom of the incline so that it will reach the skier.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.
From the work-energy theorem, it can be written that
μ × mg × sinθ × h/sinθ + mgh = 1/2 mv²
v²/2 = gh (1 + μ)
v = √{2gh (1 + μ)}
= √{ 2 × 9.81 × ( 1 + 0.06)}
= 4.56 m/s
Hence, you must give the box the minimum speed of 4.56 m/s .
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violins in the month of July. In the month of August they decreased their sales by 495 violins. By what percent did they decrease their monthly sales of violins from July to August ?
The percent that the monthly sales in violins decreased by from July to August was 49. 5 %
How to find the percentage decrease ?The percentage decrease in the sale of violins can be found by the formula:
= Number violins reduced by / Number of violins sold in July x 100 %
July violins sold = 1, 000
Number of violins reduced by = 495 violins
The percentage decrease is:
= 495 / 1, 000 x 100 %
= 49. 5 %
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The first part of the question is:
The Music Shop sold 1, 000 violins in the month of July.
3 parts....challenging......
-Mitchell is making a diagram that compares balanced and unbalanced forces. Which of these characteristics would most likely describe unbalanced forces in Mitchell's diagram?
A. They cause an object to move.
B. They create a net force of 0 Newtons.
C. They result when no forces are acting on the object.
D. They result when equal and opposite forces act on an object.
Kyson enjoys doing many hobbies. If Kyson is experiencing a balanced force on his body doing one such hobby, which of these activities might he be doing?
A. walking his dog
B. running in a race
C. sitting and reading
D. swimming laps in a pool
A student is writing a short essay about forces for her science class. Which of the following statements can she use to describe the characteristics of all types of forces?
A. Forces act in pairs.
B. Forces only pull objects together.
C. Only one force can act on an object at a time.
D. Forces cause objects to move faster, but not slower.
In Mitchell's diagram, unbalanced forces cause an object to move.
Kyson is sitting and reading. The characteristics of all types of forces is: Forces act in pairs.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
For balanced force net force is zero and unbalanced force causes motion.
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the counting error of n = 1,107 counts is approximately (answer must be an integer):
The counting error of n = 1,107 counts can be estimated by the square root of n, which is the standard deviation of a Poisson distribution. The standard deviation for n = 1,107 is approximately 33.
So, the counting error of n = 1,107 counts can be estimated as approximately ±33 counts. This means that the true count could be anywhere between 1,074 and 1,140 counts with about 68% confidence, assuming a Poisson distribution. It's important to note that this estimate assumes a Poisson distribution, and the actual counting error may be different depending on the measurement process and other factors. In practice, it's often necessary to perform additional analysis and calibration to more accurately estimate counting errors.
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what equipment permitted the first direct measurement of plate movement
The equipment which permitted the first direct measurement of plate movement is Global positioning system (GPS). The correct option is D.
The Global Positioning System (GPS) enables the direct measurement of plate motion. Geodesy is the science of measuring the positions and shapes of the Earth. This network of satellites is more stable than the Earth's surface, so when a whole continent moves somewhere at a few centimetres per year, GPS can tell.
A significant obstacle to comprehending plate tectonics is measuring the velocity of the plates in relation to one another. Seismometers have been used by scientists for a long time to track vibrations brought on by plate motion, especially during significant occurrences like earthquakes.
The question is incomplete. The complete question contains options. They are 'A. Satellite laser ranging (SLR) B. Light detection and ranging (LIDAR) C. Echo sounding D. Global positioning system (GPS)'
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at what angle to the horizontal should an ideal projectile be launched so that its horizontal displacement (the range) is equal to its maximum vertical displacement?
To achieve equal maximum horizontal and vertical displacement, an ideal projectile should be launched at an angle of 45° to the horizontal.
This is because the horizontal and vertical components of the projectile's velocity will be equal in magnitude, resulting in equal maximum displacements in both directions.
The equal-displacement theorem states that when an object is launched at an angle of 45° to the horizontal, this object will travel the same horizontal distance as the vertical distance it travels. This means that the trajectory of the object will be symmetrical and the maximum displacement in the horizontal direction will be equal to the maximum displacement in the vertical direction.
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which conditions would not typically be considered a safety concern relative to grounds?
Grounds that are isolated or insulated are typically not considered a safety concern.
Grounds refer to the electrical connection between a conductor and the earth. In electrical systems, a ground is used to provide a reference point of zero potential, which helps to maintain electrical safety.
However, not all grounds are equal and some conditions can pose a safety concern. For example, a ground that is in direct contact with a source of electrical energy, such as a live wire, can be dangerous because it can cause electrical current to flow into the ground, potentially causing an electrical shock or fire.
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A spherical shell of radius 5.6 m is placed
in a uniform electric field with magnitude
1070 N/C.
Find the total electric flux through the
shell.
Answer in units of N m²/C. Answer in
units of N. m²/C.
Answer:
The total electric flux thru the shell is zero.
If you represent the electric field by vectors, for each vector entering the shell a corresponding vector will leave the shell for a net input of zero within the shell.
What does it mean if the gravitational potential energy of an Earth-apple system is 10J?10J? (a) Someone did 10J10J of work lifting the apple. (b) Earth did negative work when someone was lifting the apple. (c) A 100−�100−g apple is 10m10m above the ground. (d) Parts (a) and (c) are both correct. (e) We need more information about the coordinate system and the object.
The gravitational potential energy of an Earth-apple system is 10 J, a) it means someone did the 10 J of work in lifting the apple and c) A 100 gm apple is 10 m above the ground.
Gravitational potential energy is the energy possessed by an object due to its position relative to the ground surface. It is formulated as:
P = mgh
Where m is the mass of the object, g is the acceleration due to gravity of Earth, and h is the height of the object above ground level. So if someone lifts the apple of 100 gm mass, up to 10 m, then the work done by the person will be the equal to the potential energy of the apple at 10 m height.
m = 100 gm = 0.1 kg
g = 10 m/s²
h = 10 m
P = 0.1 × 10 × 10
P = 10 j
Hence the option (d) is correct.
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Which one of the following statements explains why it is difficult to measure the coefficient of volume expansion for a liquid? A Liquids are more compact than solids B. Liquids are more compact than gases. C Liquids tend to expand more slowly than solids. D The liquid will lose heat to the containing vessel. E The volume of the containing vessel will also increase.
The statement that explains why it is difficult to measure the coefficient of volume expansion for a liquid is 'The volume of the containing vessel will also increase.' The correct option is E.
The increase in volume per unit of original volume per degree of temperature is known as the coefficient of volume expansion of the bulk solid substance. Its SI unit is Kelvin⁻¹ or °C⁻¹.
Coefficient of real expansion of the liquid is defined as the ratio of real change in the volume to its original volume per 1 °C rise in temperature.
As the volume of the containing vessel will also increases, it is difficult to measure the coefficient of volume expansion for a liquid.
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What mass of water (at 4.0 degrees C) can be contained in a rectangular box whose dimensions are 10.0 com by 5.00cm by 1.00cm? the density of water at 4.0degrees C is 1.000*10^3kg/m^3.
The required mass of water when the dimensions of the rectangular box are given is calculated to be 0.05 kg.
The given temperature is 4 °C.
The dimensions of the rectangular box are 10 cm × 5 cm × 1 cm
Volume v = 10 × 5 × 1 × 10⁻⁶ m³ = 50 × 10⁻⁶ m³
Density of water at 4 °C = 1.0 × 10³ kg/m³
The expression to calculate mass of the water,
ρ w = m w/V
where,
ρ w is density of water
m w is mass of water
V is volume
Making m w as subject, we have,
m w = ρ w × V = 1.0 × 10³ × 50 × 10⁻⁶ = 0.05 kg
Therefore, the required mass of water is calculated to be 0.05 kg.
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