if an object's velocity is doubled, its momentum is if an object's velocity is doubled, its momentum is doubled. dependent on its acceleration. quadrupled. halved. unchanged.

When a flexible object changes its shape, the com of the object can change location. It is true.

The center of mass (COM) may move as the shape of a flexible item changes because of changes in the distribution of mass inside the object. For instance, if a person leans forward while standing, more of their mass is now positioned in front of their feet, which causes the COM of their body to shift forward.

Similar to this, when a spring is compressed or extended, its COM will migrate toward the stretched end since there is more mass there. It is crucial to remember that the object's overall mass remains unchanged, and the rules of momentum and energy conservation continue to hold true.

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Radial lines on the complex plane (i.e. lines of constant phase or angle) are associated with constant natural frequency of underdamped 2nd order response. Option b is correct.

Radial lines on the complex plane (i.e. lines of constant phase or angle) are associated with the natural frequency of an underdamped second-order response. In a second-order response, the system's output response will oscillate with a frequency equal to its natural frequency. When the system is underdamped, the output oscillations will decay exponentially over time, with a decay rate constant determined by the damping ratio.

The radial lines on the complex plane correspond to constant phase or angle of the system response. The angle of the response is related to the frequency of oscillation, and since the radial lines represent constant angle, they must correspond to constant frequency, which is the natural frequency of the system. Therefore, the correct answer is b.

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The capacitance of a parallel plate capacitor is proportional to the area of the plates. Hence option C is correct.

A capacitor is a device that stores electrical energy in an electric field by collecting electric charges on two isolated surfaces. It is a passive electronic component with two terminals.

Capacitance is the effect of a capacitor. While any two electrical conductors in close proximity in a circuit have some capacitance, a capacitor is a component designed to provide capacitance to a circuit. The capacitor was initially referred to as a condenser, a word that is still used in a few compound names, such as the condenser microphone.

Capacitance of the capacitor is directly proprtional to the area of the plates and inversly proprtional to the distance between them.

C = ∈A/d

Hence option C is correct.

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The parameter of the laser that stays constant is the wavelength of the laser light.

Wavelength is a measure of the distance between two successive peaks or troughs in a wave. It is the distance over which a wave’s shape repeats itself and is usually measured in meters. Wavelength is inversely proportional to frequency, meaning that the higher the frequency, the shorter the wavelength. Light, sound, and other forms of energy travel in waves, and the wavelength of these waves determines their properties and behavior. Different wavelengths of light are responsible for the visible spectrum of colors, while different wavelengths of sound result in different pitches and tones. Wavelength is an important physical quantity in various fields of study, including physics, engineering, and astronomy.

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The many volcanic and geyser-like eruptions on Jupiter's moon Io are caused by tidal forces exerted on the moon by its host planet Jupiter and the other moons in its vicinity.

The many volcanic and geyser-like eruptions on Jupiter's moon Io are caused by tidal forces exerted on the moon by its host planet Jupiter and the other moons in its vicinity.

These forces cause the moon's interior to flex and heat up, leading to volcanic activity on its surface. Additionally, Io's unique composition, with a high concentration of sulfur and other volatile materials, makes it more prone to volcanic eruptions compared to other moons in our solar system.

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Emission spectrophotometric techniques are generally more sensitive than absorbance techniques because they measure the light emitted by a sample after excitation, rather than measuring the light absorbed by a sample. This allows for more detailed analysis of the sample, as the emission spectrum provides information on the energy levels and transitions within the sample.

Additionally, emission spectrophotometric techniques are less prone to interference from background absorption or scattering, which can reduce the sensitivity of absorbance techniques.

Overall, the detailed information provided by emission spectrophotometric techniques allows for more sensitive and accurate analysis of a sample's properties.

Emission spectrophotometric techniques are generally more sensitive than absorbance techniques because they detect emitted radiation from the sample rather than measuring the absorbed radiation. This results in a higher signal-to-noise ratio and lower detection limits, making emission techniques more sensitive for trace analysis.

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The time measured by the person in the spaceship from the clock on your wall will be relativistic (dilated) time. So, the answer is A.

The theory of relativity, which states that time is relative and depends on the observer's motion and gravitational field. The faster an object moves, the slower time passes for it relative to a stationary observer.

This effect is known as time dilation. In this scenario, the spaceship is moving at 85% of the speed of light, which means time will pass slower for the person on the spaceship compared to the person sitting in the living room.

Therefore, the person on the spaceship will measure less than an hour of time on their clock, while the person in the living room will measure exactly one hour.

Proper time refers to the time measured by an object in its own rest frame, and contracted time refers to the apparent reduction in length of a moving object. Neither of these concepts are applicable in this scenario.

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The resonant frequencies for an open organ pipe of fixed length L is  f = nv/2L

Resonant frequencies are those frequencies at which an object vibrates with maximum amplitude when it is set into vibration. In the case of an open organ pipe of fixed length L, the resonant frequencies can be determined using the formula f = nv/2L, where f is the frequency, n is the harmonic number, v is the speed of sound and L is the length of the pipe.

For the first harmonic, n=1, the frequency is f1= v/2L. For the second harmonic, n=2, the frequency is f2= 2v/2L = v/L. For the third harmonic, n=3, the frequency is f3= 3v/2L. Thus, the resonant frequencies of an open organ pipe of fixed length L are given by the multiples of the fundamental frequency f1.

In conclusion, the resonant frequencies of an open organ pipe of fixed length L can be determined using the formula f = nv/2L, where n is the harmonic number. The first harmonic is the fundamental frequency, and the resonant frequencies are given by multiples of the fundamental frequency. This is important to consider when designing and playing musical instruments such as organs.

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The de Broglie wavelength of a baseball when thrown is much smaller than the size of an atom's nucleus. This means that the wave-like behavior of the baseball is negligible compared to its particle-like behavior.

The de Broglie wavelength is a property of matter waves, which are waves that have a particle-like behavior. It is calculated by dividing Planck's constant by the momentum of the particle.

For macroscopic objects like a baseball, the momentum is high and the de Broglie wavelength is extremely small, making the wave-like behavior insignificant.

This principle is important in understanding the behavior of matter at the quantum level, where particles can exhibit both wave-like and particle-like behavior.

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When handling high-temperature materials like silver, it is crucial to take

the essential safety precautions, and the right tools and training are

required to prevent mishaps. utilise the formula Q = m L.

To melt silver completely, you would need to provide enough thermal energy to overcome the cohesive forces between the silver atoms and break the solid structure of the metal. This can be achieved by heating the silver above its melting point.

The melting point of silver is 961.78 °C (1763.2 °F). Therefore, you would need to heat the silver to a temperature above this point. You can use a furnace or a crucible to heat the silver. If you use a crucible, you should use one made of a material that can withstand high temperatures, such as graphite or ceramics.

The heat required to melt the silver can be calculated using the equation Q = m × c × ΔT, where Q is the heat required, m is the mass of silver, c is the specific heat of silver, and ΔT is the change in temperature required to melt the silver.

Once the silver has melted completely, you can use the equation Q = m L to calculate the amount of heat required to convert the liquid silver to its vapor state, where L is the heat of fusion of silver.

Overall, the process to melt silver completely involves:

Determining the amount of silver to be melted.

Choosing an appropriate method for heating the silver, such as a furnace or a crucible.

Calculating the amount of heat required to melt the silver using Q = m × c × ΔT, where c is the specific heat of silver and ΔT is the change in temperature required to melt the silver.

Providing the necessary thermal energy to the silver until it reaches its melting point and melts completely.

Calculating the amount of heat required to convert the liquid silver to its vapor state using Q = m × L, where L is the heat of fusion of silver.

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The rotational velocity of the merry-go-round will increase when the child moves from near the centre to the edge due to the conservation of angular momentum.

A youngster will accelerate the merry-go-round's rotation as they walk from the centre to the edge of a freely revolving merry-go-round. This is because of the conservation of angular momentum, which asserts that unless an external torque acts on a system, its total angular momentum remains constant.

The child's angular velocity rises as they get closer to the edge because their distance from the axis of rotation widens. The merry-go-round must consequently revolve at a faster rate to make up for the child's further distance from the axis of rotation while still maintaining angular momentum.

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Helium has the lowest boiling point of any substance, at 4.2 K. We have to find this temperature in C and F.

The boiling point of helium is 4.2 K, which is equivalent to -268.95°C or -452.11°F. To convert from Kelvin to Celsius, subtract 273.15 from the Kelvin temperature. Therefore, 4.2 K is equal to -268.95°C. To convert from Celsius to Fahrenheit, using the formula F = (C x 1.8) + 32. Therefore, -268.95°C is equal to -452.11°F.

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The distance between the mirror and the image is 16.95 cm.

The mirror equation relates the object distance (p), the image distance (q), and the focal length (f) of a spherical mirror as follows:

1/f = 1/p + 1/q

where distances are measured from the mirror's surface and are positive for distances in front of the mirror, and negative for distances behind the mirror.

Using the given values, we can substitute them into the mirror equation and solve for the image distance:

1/10.7 cm = 1/33.1 cm + 1/q

Simplifying this equation, we get:

q = 1 / (1/f - 1/p)

q = 1 / (1/10.7 cm - 1/33.1 cm)

q = -16.95 cm

The negative sign for the image distance indicates that the image is formed behind the mirror.

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Answer:

Visible light is  considered to be between

400 and 700 nanometers    4.00E-9 m to 7.00E-9m

Old terminology is 4000 to 7000 Angstrom units

4.00E-10 m to 7.00-10 m

In an emergency situation where the electricity needs to be shut off in a science classroom, it is essential to have a design that allows for quick and easy access to the electrical outlets. One option could be to install a master power switch that controls the power supply to all the lab stations in the classroom.

This switch should be located in a prominent and easily accessible location, such as near the classroom entrance or by the teacher's desk.

Another option could be to use individual power strips for each lab station, but with a centrally located main power switch that controls all of the power strips. This would allow for a more flexible setup and easier access to the power supply in case of an emergency. In this case, it is important to ensure that the power strips are rated for the maximum electrical load that the lab equipment may require.

Regardless of the design chosen, it is important to ensure that the emergency shut-off switch or power strip is clearly marked and easily identifiable, so that in an emergency situation, anyone can quickly and easily turn off the power to the lab stations.

Additionally, it is important to have clear protocols and procedures in place for shutting off the power supply in the event of an emergency, and to ensure that all students and staff are trained on these protocols.

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The correct statement concerning the capacitance is  (B) C₂ > C₃.

A system's capacitance is its capacity to store an electric charge. It is described as the relationship between the electric charge on each conductor and their respective potential differences.

Since all the capacitors have the same plate area, the capacitance of a parallel-plate capacitor is given by the formula:

C = εA/d

where C is the capacitance, ε is the permittivity of the dielectric material between the plates, A is the area of each plate, and d is the distance between the plates.

The distance between the plates of C₂ are closer together than those of C₃, according to the illustration provided in the question. Therefore, if the permittivity of the dielectric material between the plates is the same for both capacitors, the capacitance of C₂ will be larger than the capacitance of C₃.

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The net force between force A and force B is 2000 N in the direction of B.

If A and B are acting in opposite directions, we can find the net force by taking the difference between the magnitudes of the forces as shown below;

In this case, since B is the larger force, we can assign the direction of the net force to be in the direction of B.

The net force of the two forces is calculated as follows;

Net force = B - A

Net force = 5000 N - 3000 N

Net force = 2000 N

Therefore, according to Newton's second law of motion, the direction of the net force of the two forces will be in the larger force which is 5000 N, with a magnitude of 2000 N.

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The complete question is below:

What is net force between A and B  if they are acting in opposite direction to each other?

A = 3000 N

B = 5000 N

If, during the second analysis, the AED prompts "no shock advised," you should check the pad placement on the person's chest.

It's important to make sure the pads are properly attached and in the correct location. After confirming pad placement, you should resume CPR until the AED reanalyzes or until you find an obvious sign of life. Do not reset the AED by turning it off or unplug the connector from the machine. Keep following the AED prompts and administering CPR as necessary until emergency medical services arrive.
If, during the second analysis, the AED prompts "no shock advised," you should:
1. Check the pad placement on the person's chest to ensure proper connection and positioning.
2. Resume CPR until the AED reanalyzes or you find an obvious sign of life.
There is no need to reset the AED by turning it off or unplugging the connector, as "no shock advised" means the device has analyzed the situation and determined that a shock is not necessary at that moment. Continue following the AED prompts and providing CPR as needed.

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Answer:

P = I V = I^2 R        power lost in wire

I (current) and R (resistance) need to be kept small to minimize power lost in wire - explains why very high voltages are used in power transmission

To transmit electric energy economically over long distances, it is important to keep certain electric quantities small. These include: Resistance; Current; Voltage drop; Capacitance and inductance.

Overall, the key to transmitting electric energy economically over long distances is to minimize energy losses by keeping electric quantities such as resistance, current, voltage drop, capacitance, and inductance as small as possible.

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The maximum density occurs at 4 degrees Celsius, and beyond this point, the density starts to decrease due to the unique structure of water molecules.

Within most of the temperature range where we find liquid water on Earth, the density of water increases as its temperature decreases. This occurs because water molecules move closer together and form more hydrogen bonds when the temperature drops.

As the temperature of water decreases, the kinetic energy of its molecules also decreases, which causes them to slow down and occupy less space. This results in an increased density of water. However, this trend only continues until the water reaches its maximum density at approximately 4 degrees Celsius (39.2 degrees Fahrenheit).

Beyond this point, the density of water starts to decrease again as it approaches its freezing point at 0 degrees Celsius (32 degrees Fahrenheit). This anomaly occurs because the hydrogen bonds in water form a hexagonal structure when the temperature is close to the freezing point. This unique structure creates open spaces within the water, causing it to expand and become less dense as it turns into ice. Within most of the temperature range of liquid water found on Earth, its density increases as the temperature decreases.

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In the 1930s, Hubble discovered that galaxies exhibited a redshift in their spectra, indicating that they were moving away from us, which led to the conclusion that the universe is expanding.

Hubble observed and analyzed the spectra of galaxies using a spectrometer. He noticed that the spectral lines of most galaxies were shifted towards the red end of the spectrum, a phenomenon known as redshift. Hubble's discovery of the redshift in galaxy spectra provided evidence for the expanding universe. He realized that galaxies were not just static objects in space, but they were actually moving away from us at tremendous speeds.

This led to the development of the Hubble's law, which describes the relationship between the distance of a galaxy from us and its recession velocity. Hubble's discovery revolutionized our understanding of the universe and helped us to develop the Big Bang theory, which states that the universe began as a singularity and has been expanding ever since.

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The total energy available increases proportionally to n, the width of the maxima changes inversely proportionally to n². So, as n increases, the width of the maxima will decrease.

Based on the question, we want to determine how the width of the maxima changes when the total energy available increases proportionally to the number of slits, n.

Using the given information, we know that:
1. The maxima fall at the same locations for any number of slits.
2. The peak intensity of the maxima is proportional to n².
3. The total energy at the screen is roughly equal to the product of the number of maxima, peak intensity of a maximum, and the width of a maximum.

Since the total energy available increases proportionally to n, we can write this relationship as:
Total Energy ∝ n

However, we also know that the total energy at the screen is the product of the number of maxima, peak intensity, and the width of a maximum:
Total Energy ∝ (number of maxima) × (peak intensity) × (width of maxima)

As the number and location of the maxima do not change, the peak intensity of the maxima increases proportionally to n²:
Total Energy ∝ n × n² × (width of maxima)

Now we can equate these two expressions:
n ∝ n³ × (width of maxima)

To solve for the width of the maxima, we can divide both sides by n³:
1/n² ∝ width of maxima

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The ratio of the free-fall acceleration of gravity g at Singapore to that at Stockholm is approximately 1.00286.

The period of a pendulum is given by:

[tex]T = 2\pi \sqrt{L/g}[/tex]

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity

Let's first find the value of g in Stockholm:

T = 2 s

L = 0.99542 m

Rearranging the formula, we get:

g = (4π² L) / T²

[tex]g_{Stockholm[/tex] = (4π² × 0.99542 m) / (2 s)² = 9.8214 m/s²

Similarly, let's find the value of g in Singapore:

T = 2 s

L = 0.99050 m

[tex]g_{Stockholm[/tex]= (4π² × 0.99050 m) / (2 s)² = 9.8495 m/s²

The ratio of the free-fall acceleration of gravity g in Singapore to that in Stockholm is:

[tex]g_{Singapore[/tex]/ [tex]g_{Stockholm[/tex]= 9.8495 m/s² / 9.8214 m/s² = 1.002855

Rounding this to 5 decimal places, we get:

[tex]g_{Singapore[/tex] / [tex]g_{Stockholm[/tex]≈ 1.00286

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Deprotonation of a terminal alkyne results in an alkynide ion, which exhibits a negative charge associated with a lone pair that occupies a(n) sp hybridized orbital.

When a terminal alkyne undergoes deprotonation, the removal of a proton from the terminal carbon atom results in the formation of an alkynide ion. The alkynide ion contains a negative charge that is associated with a lone pair of electrons, which occupies a p-orbital. This p-orbital is perpendicular to the plane of the molecule and lies along the axis of the carbon-carbon triple bond.

The alkynide ion is a very strong base due to the stability of the resulting anion. This base can be used in various reactions to form new carbon-carbon bonds or as a nucleophile in substitution reactions. Additionally, alkynide ions can be used as ligands in organometallic chemistry due to their ability to donate electrons to metal centers. In summary, deprotonation of a terminal alkyne leads to the formation of an alkynide ion that has a negative charge associated with a lone pair of electrons occupying a p-orbital.

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The most correct statement about gas among the given options is "a gas takes the shape of its container."

This is because gases do not have a fixed shape or volume and can fill any container they are placed in, taking on its shape.

The other statements are not accurate. Gases do have thermal energy and are affected by changes in pressure.

Gases do not hold their shape, as they can expand and contract to fill the space available to them.

Gases are highly compressible and can be compressed to occupy a much smaller volume than their original state.

Additionally, the behavior of gases can be explained by the kinetic theory of gases, which states that gases are made up of tiny particles in constant random motion.

This motion results in the transfer of energy, which is responsible for the pressure, temperature, and other properties of gases.

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The air-pressurized rescue tool that gives rescuers the ability to lift or displace objects that cannot be lifted with other rescue equipment is called a lifting bag.

Lifting bags are air-pressurized devices made of durable materials such as rubber, nylon or PVC, and they come in different sizes and shapes depending on the load capacity and the type of object to be lifted. Lifting bags work by using compressed air to inflate and expand, creating a cushion of air that lifts the object off the ground.

Lifting bags can be used in combination with other rescue equipment, such as spreaders or cutters, to extricate victims from collapsed structures or overturned vehicles. One of the advantages of using lifting bags is that they are portable and easy to set up, making them ideal for rescue operations in remote or inaccessible locations.

They also provide a safer alternative to traditional lifting methods, such as using cranes or hoists, which can pose a risk to rescuers and bystanders. Overall, lifting bags are a versatile and valuable tool for rescuers, providing them with the ability to lift or displace objects that would otherwise be impossible to move.

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Each scenario describes a spring with a certain spring constant (k) and a compression distance (x):

Scenario A: k = 3 N/m, x = 1.0 m

Scenario B: k = 6 N/m, x = 0.8 m

Scenario C: k = 9 N/m, x = 0.6 m

Scenario D: k = 12 N/m, x = 0.4 m

The spring constant is a measure of the spring's stiffness and is defined as the force necessary to stretch or compress the spring by a certain distance. The firmer the spring, the bigger the spring constant.   When a force is applied to a spring, the  contraction distance is the distance it's compressed from its normal length.

  Using the following formula, these circumstances may be used to  cipher the implicit energy stored in the compressed spring   kinetic energy = 1/2 * k * x2   where k denotes the spring constant and x denotes the  contraction distance.   The implicit energy held in the compressed spring is the energy that can be released when the spring is allowed to return to its original length.

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Answer:

zero work is done by the worker

The Speed Adjust by Route function of ProPILOT Assist with Navi-link can automatically reduce vehicle speed in several situations such as approaching curves, exits or junctions, and changing speed limits.

This feature works by using the vehicle's navigation system to predict upcoming road conditions, allowing it to adjust the vehicle's speed accordingly for optimal driving experience and safety. First, the Speed Adjust by Route function can reduce vehicle speed when approaching curves. By doing so, it ensures that the vehicle maintains a safe and comfortable speed while navigating through bends in the road. Second, this function can also reduce speed when approaching exits or junctions, this helps the driver safely transition from highways to slower-speed roadways without the need for manual intervention.

Third, the feature can adjust the vehicle's speed in response to changing speed limits, ensuring the vehicle remains within legal limits and reducing the risk of speeding tickets. In summary, the Speed Adjust by Route function of ProPILOT Assist with Navi-link can automatically reduce vehicle speed in situations such as approaching curves, exits, junctions, and changes in speed limits, providing a safer and more efficient driving experience.

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The average force exerted on the meteorite by the car was about 7,200 N.

What is Force?

Force is a physical quantity that describes the interaction between objects or systems that can cause them to accelerate or deform. It is a vector quantity, which means that it has both magnitude and direction. The unit of force is the newton (N), which is defined as the amount of force required to accelerate a mass of 1 kilogram by 1 meter per second squared .

To calculate the average force exerted on the meteorite by the car, we can use the impulse-momentum theorem, which states that the impulse applied to an object is equal to its change in momentum. The impulse can be calculated as the product of the force and the time interval during which it acts, while the change in momentum can be calculated as the mass of the meteorite times its initial velocity.

The time interval during which the force acts is not given, but assuming that it is very short (on the order of milliseconds), we can use the equation:

impulse = force x time = change in momentum = mass x (final velocity - initial velocity)

Rearranging this equation to solve for the force, we get:

force = (mass x (final velocity - initial velocity)) / time

The mass of the meteorite is not given, but we can assume that it is 12.25 kg (27 pounds converted to kilograms). The final velocity of the meteorite is zero, since it comes to a complete stop after striking the car. The time interval is unknown, but we can assume that it is very short (on the order of milliseconds).

Substituting the given values into the equation, we get:

force = (12.25 kg x (0 m/s - 540 m/s)) / time

To express the answer in two significant figures, we can round the result to the nearest hundred newtons.

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