If you were to travel at a speed close to the speed of light, you could notice that your own.

Electromagnetic Force causes electric and magnetic effects such as the repulsion between like electrical charges or the interaction of bar magnets in a similar fashion of attraction & repulsion. It is long-ranged, but much weaker than the strong force. It can be attractive or repulsive and acts only between pieces of matter carrying electrical charge. Electricity, magnetism, and light are all produced by this force.

If the charge on q1 is doubled the force becomes 4 times its initial value.

Since, we know

F = (k×q1×q2)/r²

When the charges are doubled, we have :

F' = (k × 2q1 × 2q2)/r²

F' = 4 (k×q1×q2)/r²

Thus,

F' = 4F

Therefore, the force becomes 4 times its initial value.

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The overall magnification of the microscope is  - 588.23 .

Magnification is the process of increasing apparent size.

M = magnification

l = distance between the eyepiece and the objective lens

f₀ = focal length of the objective

f₁ = focal length of the eyepiece

l = 20 cm

f₀ = 0.500 cm

f₁ = 1.70 cm

M = - (l/f₀)(25/f₁)

M =  - (20/0.500)(25/1.70)

M = - (40)(14.70)

M = - 588.23

The overall magnification for the microscope is - 588.23.

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When light travels from air into water, it slows down, causing it to change direction slightly.

What is  light travels?

Light moves in waves. It does not, however, require any substance or material to transport its energy forward, unlike sound waves or water waves. This implies that light may pass through a vacuum, or an area that is entirely devoid of air. (In contrast, sound must pass through a solid, liquid, or gas.)

Light slows down and somewhat changes direction as it passes through water from air. Refraction is the name for this shift in direction. Light "bends" more in the direction of the normal line when it enters a denser material (one with a higher refractive index).

Light bends in the direction of the normal as it passes through an interface into a material having a greater index of refraction. On the other hand, light bending over a higher n to lower n contact will deviate from the usual.

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Answer:

1040 Kilohertz = 1.04E6 /sec

Speed of electromagnetic waves = 3.00E8 m/s

3.00E8 / 1.04E6 = 288 m  (a λ/4 antenna still requires 72 m)

Assume you have a sealed jug that only contains air. If you heat the air in the jug it will have a higher temperature.  Air Pressure properties of air will change.

What is  Pressure?

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.

The number of atoms of air in the sealed container cannot change. Assuming that the container does not expand when heated, the volume of the container cannot change when it is heated. If neither the mass nor the volume change as the can is heated, neither can the density change.

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If Moto moved farther from the star, its orbital speed would slow down and it would have a wider orbit to travel, increasing the orbital period.

Since the Sun's gravitational pull on a planet farther away is weaker, it not only travels a greater distance than a planet closest to it, but it also moves more slowly. Therefore, a planet takes longer to complete its orbit the larger it is.

As seen from above the Northern Hemisphere, the Earth circles the Sun at an average distance of 149.60 million kilometers (92.96 million miles), counterclockwise. In 365.256 days (1 sidereal year), the Earth completes one orbit, covering 940 million kilometers (584 million mi).

The force that attracts all masses in the universe, particularly theat attracts all masses in the universe, particularly the earth's mass's attraction to anything close to its surface. Gravitation, gravitational force, and similar terms.

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If a company's current ratio is larger than 1, it implies that its current liabilities exceed its current assets; conversely, if it is or less 1, it means that its current assets exceed its current liabilities.

If the ratio is less than 1, it means that the firm has more obligations due in the next year or less than it does in cash or other brief assets that are anticipated to be converted into money in the next year or less.

Now The ratio would rise to 2.25:1 if current obligations and assets were both decreased by $1,000.

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Consequently, the acceleration due to gravity of the pole voulter is 2000J.  any object at ground surface has a potential energy = zero newtons.

Gravitational potential energy is the energy that an object has due to its location within a gravitational field. The most usual use of gravitational potential energy is for a body at the surface of the Earth, where it is reasonable to assume that the gravitational pull is constant at about 9.8 m/s. 2.Any object at ground level has a potential energy of zero newtons becuase anything multiplied by zero is zero. An object with mass of 54 kg, 4 meters above the ground has a gravitatinal potential energy of 2116.8 Joules.

If an object is located at a height that is higher (or lower) than the zero height, it has gravitational potential energy. If an object is situated on an elastic media in a position besides the equilibrium position, it has elastic potential energy.

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A noisy machine in a factory produces a decibel rating of 77 dB. The Number of 10 machines add to the factory without exceeding the 85 db limit.

sound level in decibels is

β dB = 10 log ( I / I₀ )

where I is the intensity of sound

I₀ is the relative intensity

80 = 10 log ( I ÷ 10⁻¹² )

8  = log ( I ÷ 10⁻¹² )

10⁸  =  I ÷ 10⁻¹²

I  =  10⁸ × 10⁻¹² =  10⁻⁴ W /m2

if the sound level is 90 dB, the number of identical machines is n.

90 = 10 log ( n × I / I₀)

90 =  10 log ( n × 10⁻⁴ / 10⁻¹²)

9  =  log ( n × 10⁸)

10⁹ = n × 10⁸

n = 10

Therefore, a number of 10 machines add to the factory without exceeding the 85 db limit.

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The wavelengths of visible light are really not interfere constructively  affected with by reflected waves.

When the maximum of two waves are combined together in a way that makes the amplitude of the resulting constructive wave equal to the sum of the separate waves, this is known as constructive interference, or doppler effect is the interference.

Briefing :

The constructive interference for two waves, in same phase can be find out as,

λ = [tex]\frac{2'nd}{m}[/tex]

Here, m=1,2,3,....

The range of wavelengths of visible light given from 550 nm to 750 nm. It  has to be found out that, for which visible wavelengths of light, do the reflected waves interfere constructively,

Visible wavelength of light is a range of electromagnetic spectrum, which can be visible by human eyes. This ranges from 550 nm to 700 nm (approx). In the problem given, the range of wavelengths of visible light is from 550 nm to 750 nm.

Put the value of the 2nd wavelength (750 nm) in the above formula for m equal to 1 as,

λ = [tex]\frac{750}{1}[/tex]

λ = 750nm

For m equal to 2,

λ =[tex]\frac{750}{2}[/tex]

λ = 375nm

Both the values does not fall under the range of visible light. Hence, The visible wavelengths of light do not reflected waves interfere constructively.

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The distance in mm between these minima is 0.29 ×[tex]10^{-3}[/tex] m

For first minima, m=1, Then,

[tex]a\sin \theta_1 = \lambda_1 \Rightarrow \sin\theta_1 = \frac{\lambda_1}{a} \Rightarrow \theta_1 = \sin^{-1}\left(\frac{589.1\times10^{-9}}{2.4\times 10^{-6}}\right) = 14.2^{\circ}[/tex]

[tex]a\sin \theta_2 = \lambda_2 \Rightarrow \sin\theta_2 = \frac{\lambda_2}{a} \Rightarrow \theta_2 = \sin^{-1}\left(\frac{589.6\times10^{-9}}{2.4\times 10^{-6}}\right) = 14.22^{\circ}[/tex]

Hence the required angle is , (14.22 - 14.2) = 0.02o

The distance between these two minima,

[tex]\Delta y = y_2 -y_1 = \frac{D}{a}\left( \lambda_2-\lambda_1\right) = \frac{1.4}{2.4\times 10^{-6}}\left(0.5\times 10^{-9} \right ) = 0.29\times 10^{-3} \hspace{2mm} m[/tex]

This distance is best measured using a microscope.

The length of a particular path taken by an object between two points is its distance, such as the distance traveled through a maze. In some cases, such as when a ball is thrown straight up or the Earth completes an orbit, this can even be a closed distance along a closed curve that begins and ends at the same location. The mathematical term for this is the curve's arc length. It is also possible to signify the distance traveled: a "ahead" distance is positive and a "backward" distance is negative.

When building vehicles or mechanical gears, it can be helpful to take circular distance—the distance covered by a

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The velocity of the flare is -92 feet per second while it is going toward the earth, in accordance with the question.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar number. In essence, the velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

We determine the speed at this time after first determining t.

131 = -3t^2 + 100t  + 3

-3t^2 + 100t - 128 = 0

-(3t - 4)(t - 32) = 0

t = 4/3, 32

At 32, the flare will be released.

s'(t) = -6t + 100

s'(32) = -6(32) +100 = -92

The velocity is 92 ft/sec down.

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The complete question is-

In a scene from the Martin Matt Damon shoots a flare straight up into the sky. The height( in feet) of the flare after t seconds is given by

s(t)= -3t squared + 100t + 3

What is the velocity of the flare when it is moving toward the ground and its position is equal to 131 feet?

The speed of the coin when it rides without slipping at a distance of 5.0cm from the center of the turntable is 0.49 m/s.

No of revolutions made in 3.14s = 3rev

No of revolutions made in 1s = 3/3.14 = 0.96rev

Frequency = 0.96Hz

Time period T = 1/f = 1/0.96 = 1.05s

Angular velocity ω = 2π / T =  2π / 1.05 = 5.98 rad/s

Speed v = rω = 0.05 * 5.98 = 0.49m/s

The distance traveled rel.ative to the time it took to travel that distance is how fast s0mething is moving. As it just has a direction and no magnitude, speed is a scalar quantity. When an object travels an identical distance in an identical amount of time, it is said to be moving at uniform speed.

If an object travels a varied distance at regular intervals while maintaining the same speed, the speed is said to be variable.

Average speed is the average speed that is determined by the ratio of an object's total distance traveled to its total time traveled.

Instantaneous speed is the speed of an object while it is travelling at any given moment at a changeable pace.

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The appropriate energy transformations are:
Kinetic energy changes into center of gravity from A to C.
Gravitational acceleration energy is converted into kinetic energy from C to E.

What is Kinetic energy?
Kinetic energy is a type of power that a moving object or particle possesses. An object gains kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object as well as particle has kinetic energy, which depends on both its mass and its rate of motion. Any combination of motions, including translation, rotation about in an axis, and vibration, may be the type of motion.

A body's translational kinetic energy, or 1/2mv2, is determined by multiplying its mass, m, by the square of it's own velocity, v.

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7.87° is the first-order maximum for 550 nm.

Using diffraction equations,

d = 0.01/Number of lines, where 0.01 m = 1 cm and d = line spacing

Therefore,

d = 0.01/2070 = 4*10^-6 m

Similarly,

d x Sin X = m x Y;

When X = Angle

m = order = 1

Y = wavelength = 550 nm =550*10^-9 m

By substituting;

Sin X = mY / d = (1*550*10^-9)/(4*10^-6) = 0.1375

X = Sin⁻¹(0.1375) = 5.97°

As a result, the first-order maximum for 550 nm will be 7.87°.

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The time taken in hours for the clock's minute hand to make one revolution on Uranus is 0.0174 hours.

It is given to us that -

Acceleration due to gravity in Uranus = [tex]9.01 m/s^{2}[/tex]

Time on Earth = 1 minute = 0.0167 hours

We have to find out time taken in hours for the clock's minute hand to make one revolution on Uranus.

We know that period of oscillation observed in Earth can be given as -

[tex]T_{E}=2\pi \sqrt{\frac{l}{g_{E} } }[/tex]  ----- (1)

where,

[tex]T_{E}[/tex] = 0.0167 hours (given)

[tex]l[/tex] = length of the pendulum

[tex]g_{E}[/tex] = acceleration due to gravity of Earth

According to the given information, the length of the pendulum will be equivalent on Uranus. This implies that the period of oscillation observed in Uranus can be given as -

[tex]T_{U}=2\pi \sqrt{\frac{l}{g_{U} } }[/tex]  ----- (2)

where,

[tex]l[/tex] = length of the pendulum

[tex]g_{U}[/tex] = acceleration due to gravity of Uranus =  [tex]9.01 m/s^{2}[/tex] (given)

Now, from equations (1) and (2),

[tex]\frac{T_{U} }{T_{E} }= \frac{ 2\pi \sqrt{\frac{l}{g_{U} } }}{2\pi \sqrt{\frac{l}{g_{E} } }} \\= > \frac{T_{U} }{T_{E} }=\sqrt{\frac{g_{E}}{g_{U} } } \\= > \frac{T_{U} }{0.0167 }=\sqrt{\frac{9.81}{9.01 } } \\= > T_{U} = 0.0167 * 1.0434\\ = > T_{U} =0.0174 hours[/tex]

Thus, the time taken in hours for the clock's minute hand to make one revolution on Uranus is 0.0174 hours.

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If a submarine's viewing port has a surface area of 0.0100 m2, the force exerted by the water on it at this depth will be 416,000 N in magnitude.

Pgauge is equal to F/A 412(1.01 x 105) = F/0.01 F = 416,000 N.

The two fluid pressures that are in play are the internal atmospheric air pressure and the external water pressure, which includes the atmosphere operating on it at the surface. The net force due to fluid pressure can be calculated by using the gauge pressure of the water since the atmospheric pressure acts both internally and is also included in the water pressure and the air pressures virtually cancel each other out.

A force is an influence that has the power to alter how an object moves. A force can cause an object with mass to accelerate and change its velocity (for example, moving from a state of rest). Force can also be conce.ptualized as a push or a pull. A force is a vector quantity since it has b0th magnitude and direction. It is calculated using newtons as the SI unit of mea.sure (N). F stands for force (formerly P).

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Cataract is a condition in which there is a progressive thickening of the lens causing vision to become cloudy, opaque, and distorted.

The majority of cataracts occur when the tissue that makes up the eye's lens changes due to age or trauma.

The risk of cataracts may be increased by some hereditary genetic abnormalities that can result in other health issues. Other eye diseases, previous eye surgery, or other disorders like diabetes might also lead to cataracts. Cataracts can also form as a result of prolonged steroid drug usage.

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The tension of a rope of length 2.10 mm and mass 0.120 kg which is stretched for transverse waves of frequency 45.0 hzhz to have a wavelength of 0.790 mm is 51.4 N

What is frequency ?

The quantity of waves that pass a set location in a predetermined period of time is known as frequency.

From the given information -

length =2.10 mm

mass = 0.120 kg

frequency = 45.0 Hz

wavelength =  0.790 mm

V  =  sqrt (T/u)

V  =  40 *0.79   =   31.6 m/s

T/u   =  900

Tension  =  900* 0.12/2.1

Tension  = 51.4 N

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The horizontal velocity component when the object is at its maximum height  Hmax = [tex]u^{2} sin^{2}[/tex]θ /2g

The vertical and horizontal components of motion are separated into two parts for solving velocity problems in physics. When solving problems involving a trajectory's angle, vertical velocity is used. When an object moves horizontally, its horizontal velocity becomes crucial. Any mathematical solution will consider the horizontal and vertical elements independently because they are not reliant on one another. Horizontal velocity, which can be expressed in terms of meters per second or miles per hour, is typically defined as horizontal displacement divided by time. The distance that an object has traveled since leaving a starting position is known as displacement.

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The frequency will be  1.74 Hz if 0.160 kg are added to the original mass.

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

After moving through a sequence of situations or locations and then returning to its initial position, a body in periodic motion is said to have experienced one cycle or one vibration. See also basic harmonic motion and angular velocity.

Frequency (f) of a spring is inversely proportional to square root of its mass. So,

f₁√m₁ = f₂√m₂

⇒ f₂ =  f₁√m₁ /√m₂

= 1.95√(0.650/0.810) Hz = 1.74 Hz.

Hence, the frequency will be 1.74 Hz if 0.160 kg are added to the original mass.

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When wind speeds up as it blows over the top of a hill, decreases atmospheric pressure there.

As the ratio of the force the atmosphere exerts per unit area, atmospheric pressure can be defined. Pascal can be used to both calculate and measure atmospheric pressure. 101325 pascals is what the normal atmospheric pressure is.

Your immediate environment is pressed against by the weighty air that surrounds you. It is known as air pressure or atmospheric pressure. It is the pressure from the air above a surface that pulls it toward Earth. Typically, a barometer is used to measure atmospheric pressure.

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The resistance to insulation is measured using an IR tester. This is a portable device that resembles an ohmmeter in many ways and has a built-in generator for creating a high DC voltage.

An IR tester is used to assess insulation resistance. This is a portable device that resembles an ohmmeter in many ways and has a built-in generator for creating a high DC voltage. A current moves across the surface of the insulation as a result of the voltage, which is normally at least 500V.

Insulation testers evaluate the resistance in wires and motor windings using a high voltage, low current DC charge to find current leakage and defective or damaged insulation, which can result in arc faults, blown circuits, and the possibility of electrical shock or fire.

To help prevent risks like electric shock and short circuits created when the insulation in electrical devices, parts, and equipment is compromised, portable insulation resistance testers and megohmmeters are available.

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laptop is a device which is used regularly andto make it work properly we should follow some precautions.

what is the efficiency of a device?

The efficiency of a device is the proportion of the energy supplied that is transferred in useful ways. The work out of a device divided by the work into the device is defined as efficiency.

precautions to make laptop work efficiently

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The tension in the string when a 40 kg stone tied to a string is whirled horizontally at a speed of 2.2 m/s will be 488 N/m.

When two solid things come into touch with one another, tension is the force that is generated. A force of tension is the force generated by a rope, string, or chain.

When one mass is drawn vertically and another is being pulled horizontally, there is tension force acting on the string. In the absence of gravity, this gives the tension force pulling on a string.

We are aware that T = mg + ma is the formula used to compute the force of tension.

T = 40(10) + 40(2.2)

T = 488 N/m.

Given that tension is a form of force, it shares the same measurement and unit as force. The CGS unit for tension is dyne whereas the SI unit is newton (N).

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The centripetal acceleration of the stone is:

ac = v2 / r

Let us assume the radius of the string is 1m.

ac = (2.2 m/s)2 / 1

The tension in the string is:

T = m a = (40)*(2.2*2.2)

T = 40 * 2.2 * 2.2

T = 193.6 N

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Answer: When two horizontal forces act on a wagon, 150 n forward and 700 n backward. 550 n force is needed to produce a net force of zero

Explanation:

       150 N→ Wagon ←700

                     ← 550

       Net force in current state is 550 in backward direction.

       So to cancel out the additional force, same amount of force has to be applied from the backward direction.

150 N+ 550 N → Wagon ←700 N ⇒ Net force = 0

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Ampacity can be calculated by dividing the Wattage by the rated voltage.

What is the ampacity of each conductor?

The highest continuous current that a conductor may carry under normal use settings without going above its temperature rating is known as ampacity. The unit of measurement for current is one amp. To avoid the wire overheating, you must choose the proper size wire for the circuit's current (load) requirements.

Divide the Wattage by the rated voltage to get the ampacity. The predicted Amperage of the circuit is the quotient. Many times, a circuit's particular application correction factors (as mentioned above) will make ampacity necessary.

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The distance travelled by the bowling ball is 18.6566 ft

Circumference = 2πr = 27

Weight of the ball = 14 lb

Radius of gyration = 3.28

Velocity = rω = 20 ft/s

Coefficient of friction = 0.20

Total force on y axis= 0, therefore N = W

= F = μN = μW

and, ∑M = Iα

Hence,

= Fr = Iα

Total force on x axis = 0,

= F = ma = μW

= a = μg

Combining all the equations,

= Fr = Iα

= μWr = mk²α

= α = (μgr) / k²

If initial velocity = 0 then, ω = αt

=  ω = αt = [ (μgr) / k² ] t

= t = (vk²) / (μgr²)

Now, v = u + αt

= v - u = (μg) + (vk²) / (μgr²)

= u = v [ 1 +(k²/r²) ]

Distance travelled by the ball = s =

= v² = u² - 2αs

= ( u² ) / [ 1 +(k²/r²) ] ² = u² - 2μgs

= s = (u²/2μg) [1 - (1/(1 + (k²/r²))²)]

= s = 18.6566 ft

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The frequency heard by the observer is 437.3 Hz.

What is doppler effect?

The Doppler effect or Doppler shift is the change in frequency of a wave in relation to an observer who is moving relative to the wave source. Doppler shift is frequently demonstrated by the change in pitch that occurs as a car approaches and moves away from a viewer while sounding its horn.

It is estimated by the formula:

[tex]f_o = \frac{v +v_o}{v + v_s} f_s[/tex]

where,

[tex]f_o[/tex] = observer frequency of sound

[tex]v[/tex] = speed of sound waves

[tex]v_o\\[/tex] = observer velocity

[tex]v_s[/tex] = source velocity

[tex]f_s[/tex] = actual frequency of sound waves

Given,

[tex]f_s[/tex] = 405Hz

[tex]v_s[/tex] = 25.5 m/s

[tex]v[/tex] = 345 m/s

[tex]v_o\\[/tex] = 0 m/s

[tex]f_o = \frac{v +v_o}{v + v_s} f_s[/tex]

Observer to source = Positive

Source to observer = Negative

[tex]f_o = \frac{v}{v + v_s} f_s[/tex]

[tex]f_o = \frac{345}{345 - 25.5}[/tex]  × 405

[tex]f_o[/tex] = 437.3 Hz

The frequency heard by the observer is 437.3 Hz.

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Answer: 5 N

Explanation:

Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, like the traction required to walk without slipping, may be advantageous, they also pose a significant amount of resistance to motion.

The given parameters;

By multiplying the normal force and the coefficient of kinetic friction, the frictional force acting on the puck is calculated.

The frictional force that acts on the puck is calculated as follows;

F= u*f

Substitute the given parameters in the above equation and solve the frictional force.

F=0.2*5

F=  1 N

Thus, the frictional force that acts on the puck is 1 N.

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