Suppose that a simple pendulum consists of a small 60.0 g bob at the end of a cord of negligible mass. If the angle 0 between the cord and the vertical is given by g - (0.0800 rad) cos[(4.43 rad/s) t 0], what are (u) the pendulum's length and (b) its maximum kinetic energy

Answers

Answer 1

Based on the mass of the bob and the angle between the cord and the vertical, the pendulum length is 0.50m.

The maximum kinetic energy can be found to be 9.42 x 10⁻⁴J.

What is the pendulum length?

This can be found as:

= g-force / w²

Solving gives:

= 9.8 / 4.43²

= 0.4998 m

= 0.50 m

What is the maximum kinetic energy?

This can be found as:

= 0.5 × m × w² × A²

Maximum kinetic energy is:

= 0.5 × 60 × 10⁻³ × (4.43 × 0.4998 x 0.08 rad)²

= 9.42 x 10⁻⁴J

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Related Questions

Use F = 1/T as your basis:
9. Find the frequency of a tuning fork that takes 2.50×10−3s to complete one oscillation.

The answer is 400 Hz but please show your work.

Answers

Time Period=T=2.5×10^{-3}s

Now

Frequency:-

[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{2.5\times 10^{-3}}[/tex]

[tex]\\ \rm\rightarrowtail \nu=0.4\times 10^{3}[/tex]

[tex]\\ \rm\rightarrowtail \nu=400Hz[/tex]

The frequency for this time will be 400 Hz.

What is the frequency?

Frequency is defined as the ratio of the number of waves to time. It is denoted by f.

f=[tex]\frac{1}{T}[/tex] where,

f is the frequency and,

T is the time period.

SI unit of frequency is Hz.

There are different types of frequency in sound :

Infrasonic-The frequency is less than 20 Hz.Audible-The frequency is between 20Hz to 20,000 Hz.Ultrasonic-The frequency is greater than 20,000 Hz.

According to the question :

Given :

T= 2.50×[tex]10^{-3}[/tex]

f=[tex]\frac{1}{T}[/tex]

⇒f=1/(2.50×[tex]10^{-3}[/tex])

⇒400 Hz

Hence, the frequency for this time will be 400 Hz.

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Please see attached.

Answers

Answer:

D

Explanation:

The speed is increasing and he was stationary which means the acceleration is not 0

A 0.105- kg hockey puck moving at 24 m/s is caught and held by a 75-kg goalie at rest. With what speed does the goalie slide on the ice after catching the puck? Define the puck and the goalie as a system.

please show work, help

Answers

Answer:

0.03 m/s

Explanation:

Applying law of conservation of momentum,

m₁v₁ + m₂v₂ = (m₁ + m₂)v0.105(24) + 75(0) = (0.105 + 75)v75.105v = 2.52v = 2.52/75.105v = 0.03 m/s

The top speed of a car is determined by several factors including:

*Power of the motor
*Weight of the car
*Aerodynamics of the car
*Grip of the tires on the road

1) How would you go about determining which of these has the strongest effect?

Helppp!!

Answers

Answer:

Power of the motor.

Explanation:

If it didn't have grip, it would still move. If it was barely aerodynamic (pretty sure nothing can be not aerodynamic at all) it would still move. If it weighed more that the sun (and you had a strong enough motor) it would still move but without a motor, it won't move. Therefore, the motor is the most effective.

A thin uniform disk of mass m and radius r has a string wrapped

Answers

The magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex])

How to analysis a rigid body on dynamical condition

A rigid body is a system whose geometry cannot be neglected and in which deformations due to external forces applied on the system are negligible.

In this question we need to establish a free body diagram with all critical forces and motion conditions. There are two external forces: (i) tension ([tex]F_{T}[/tex]), (ii) weight ([tex]F_{g}[/tex]), both in newtons.

The disk falls due to gravity and rotates around the string in a case of rolling, which combines rotation and translation. By Newton's laws of motion we have the following expression:

[tex]\sum F = -F_{g}+F_{T} = -m\cdot R\cdot \alpha[/tex]   (1)

Where:

[tex]m[/tex] - Mass of the disk, in kilograms.[tex]\alpha[/tex] - Angular acceleration, in radians per square second.

By algebra we derive the following relationship between the two forces:

[tex]-F_{g} = -F_{T}-m\cdot R\cdot \alpha[/tex]

[tex]F_{g} > F_{T}[/tex]

Therefore, the magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex]) [tex]\blacksquare[/tex]

Remark

The statement is incomplete and poorly formatted. Correct and complete form is shown below:

A thin uniform disk of mass m and radius r has a string wrapped around its edge and attached to the ceiling. The bottom of the disk is at height 3R above the floor, as shown above. The disk is released from rest. The rotational inertia of a disk around its center is [tex]I = \frac{1}{2}\cdot M\cdot R^{2}[/tex].

When released from rest, the disk falls and the string unwinds. The force that the string exerts on the disk is [tex]F_{T}[/tex], and the gravitational force exerted on the disk is [tex]F_{g}[/tex]. Which of the following expression correctly relates [tex]F_{T}[/tex] and [tex]F_{g}[/tex] as the disk falls?

(a) [tex]F_{T} > F_{g}[/tex], (b) [tex]F_{T} = F_{g}[/tex], (c) [tex]F_{T} < F_{g}[/tex]

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In one to two sentences, describe the relationship between harmonics and resonance frequency in a piano.

Answers

Most vibrating things have several resonant frequencies, and musical instruments often vibrate at harmonics of the fundamental frequency. An integer (whole number) multiple of the fundamental frequency is defined as a harmonic.

In a Piano the relation between harmonic and resonance frequency is n_{1} : n_{2} : n_{3} = 1:2:3.

What is harmonic and resonance ?

"It is wave having frequency which is multiple integral of the fundamental frequency. The fundamental frequency is called first Harmonic. If a body starts vibration under impact of external vibrational force , is called Resonance. Since a Piano can produce all type of frequencies due to resonance therefore it produces melodious sound. Hence relation between harmonic and resonance frequency is n_{1} : n_{2} : n_{3}= 1:2:3."

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How do you think an object's mass relates to its weight?

Answers

Explanation:

w = m.g

g is Gravity acceleration . on surface of Earth it's

9.8 m/s² ≈ 10 m/s²

Scientists have organized all forms of energy into two types—kinetic and potential. Kinetic energy is the energy of motion, and potential energy is stored energy.

Raise the pendulum again. Carefully watch the Energy Graph on the left. It shows the amount of energy the pendulum has as it moves.

At the top of its swing, does the pendulum have kinetic energy or potential energy?
PLEASE HELP!

Answers

Answer:

Potential energy only

Explanation:

at the top of its swing the pendulum stops moving , (therefore it has no KINETIC energy)  thus all of the energy is stored as potential energy.

Which image corresponds to what moment in time? (1 point) The low-pitched sound corresponds to the sound source getting closer, its wavelength is longer. The high-pitched sound corresponds to the sound source moving away, its wavelength is shorter. The low-pitched sound corresponds to the sound source moving away; its wavelength is shorter. The high-pitched sound corresponds to the sound source getting closer; its wavelength is longer. The low-pitched sound corresponds to the sound source getting closer, its wavelength is shorter. The high-pitched sound corresponds to the sound source moving away, its wavelength is longer. The low-pitched sound corresponds to the sound source moving away, its wavelength is longer. The high-pitched sound corresponds to the sound source getting closer, its wavelength is shorter.​

Answers

Answer:

The low-pitched sound corresponds to the sound source moving away; its wavelength is longer. The high-pitched sound corresponds to the sound source getting closer; its wavelength is shorter.

Just took the quiz, and it said this answer was correct.

In this picture, The low-pitched sound corresponds to the sound source moving away; its wavelength is longer. The high-pitched sound corresponds to the sound source getting closer; its wavelength is shorter.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a Transverse wave.

According to the Doppler's effect, a sound source moves away from the observer its wavelength increases and when it moves towards the observer the wavelength decreases.  

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1. Why don't you see your reflection in a building made of rough, white stone?

Answers

the light that hits the surface of it is scattered.

An electromagnetic radio wave is received by a transmitter before it is converted to a sound wave. The radio wave has a wavelength of 23,076 m and a frequency of 13,000 Hz. What velocity is the wave traveling at before the transmitter converts it to a sound wave? 1. 76 m/s 0. 56 m/s 3. 31 × 102 m/s 3. 00 × 108 m/s.

Answers

The velocity the wave was traveling at before the transmitter converts it to a sound wave is 3.0 x 10⁸ m/s.

What is Velocity of waves?

The velocity of waves is the rate of change of the wave's displacement with time.

The velocity of waves is determined by taking the product of the wave's frequency and wavelength.

v = fλ

v = 13,000 x 23,076

v = 3.0 x 10⁸ m/s.

Thus, the velocity the wave was traveling at before the transmitter converts it to a sound wave is 3.0 x 10⁸ m/s.

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A solid cylinder with diameter 20cm has an angular velocity of 10m/s and angular momentum of 2kgm^2/s. What is its mass?

Answers

Hi there!

Recall the equation for angular momentum:
[tex]L = I\omega[/tex]

L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)

We know that the Moment of Inertia of a solid cylinder is equivalent to:
[tex]I = \frac{1}{2}MR^2[/tex]

M = mass (kg)
R = radius (m)

Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.

[tex]r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m[/tex]

[tex]I = \frac{1}{2}M(0.1^2) = 0.005 M[/tex]

We can rearrange the equation of angular momentum to solve for mass.

[tex]L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}[/tex]

Why does the final electron energy not depend on the focusing cylinder voltage?

Answers

The electron energy does not depend on the focusing cylinder voltage because the magnetic field runs perpendicular to the electron's direction of movement.

What is a magnetic field?

A magnetic field is produced by moving negatively electric charges (electrons) which generate magnetic forces that are observable.

The negative electrons that orbit around atoms in a molecule generate small magnetic fields around such atoms.

According to Fleming's left-hand rule, the direction of a magnetic force acting on a current is perpendicular to the direction of the electric current and magnetic field.

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Because it exerts a force that's also parallel to the horizontal fields instead of in opposition to it, the final electron energy is unchanged by the focusing cylinder voltage.

What is electron energy?

An electron's energy is on the same scale (in the same range) as that of light. The lines in an element's spectrum represent changes in the energy of electrons within the element's atoms. Scientists have reached numerous conclusions regarding the behavior of electrons in atoms by studying these spectra.

Negative electrons orbiting around atoms in a molecule produce modest magnetic fields surrounding them.

The vector of a magnetic force that acts on a current is opposite to the axis of the electric current and magnetic fields, as per Fleming's left-hand rule.

Thus, because it exerts a force that's also parallel to the horizontal fields instead of in opposition to it, the final electron energy is unchanged by the focusing cylinder voltage.

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A student states, "The wave model is better than the particle model for electromagnetic radiation because it is easier to understand." Is the student's statement a scientific claim?(1 point)

Yes, it is because simpler scientific models are better.

No, it isn't because the particle model is better than the wave model.

No, it isn't because the statement is an opinion.

Yes, it is because there is ample proof that wave models are easier.

Answers

The student's claim did not follow the scientific method of discovery, hence, it is an opinion not a scientific claim.

What is the scientific method?

The scientific method is a procedure employed by scientific towards understanding the world around them as well giving explanation for phenomena in the natural world.

The scientific method involves:

observations asking questions putting forward a hypothesis testing the hypothesis through experiments analyzing results of the experiments and drawing conclusions establishing a theory.

Since the student in question just put forward an opinion without testing it out using the scientific method, the statement is not a scientific claim.

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What kind of model is this?
A. Experimental model
O B. Mathematical model
O C. Computer model
o
D. Physical model

Answers

Answer:

I think it's Experimental

Explanation:

it has atoms on it.

Answer:

D

Explanation:

It is a physical model.

At a later time interval, the thrust force is 50N, the drag force is 20N, the lift force is 40N, and the weight (gravity) force is 40N.
25N
Drag
40N
Lift
50N
Thrust
40N
Weight
During this time interval, which forces are unbalanced?

Answers

During this time interval, the unbalanced forces are the downward forces which include drag force and weight of the object.

Net force on the object

The net force on the object is obtained by summing all the forces acting on the object.

Let the upward force = positive

Let the downward force = negative

Thrust force (upward) = 50 NDrag force (downward) = 20 NLift force (upward)  = 40 NWeight (downward) = 40 N

Net force = (50 N + 40 N) - (20 N + 40 N)

Net force = 90 N - 60 N = 30 N

Thus, during this time interval, the unbalanced forces are the downward forces which include drag force and weight of the object.

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A dense mix of dry, hot rock fragments and hot gas erupting from volcanic vents at high speed is pyroclastic flow. lahar. fumarole. tephra.

Answers

The answer is pyroclastic

Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.

What is magma?

Magma is the extremely hot liquid and flows under the surface of the earth. When this liquid comes out to the surface of earth, then called as lava.

Gas bubble, making up to lave are energetic in nature, because they keep on expanding in all directions, they will go all out to the only open are of a volcano, the vent, in an upward direction.

Hence Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.

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Plsss help with this, will give brainliest!!! ​

Answers

Answer:

c

True

True

False

True

**

metals, non-metal, high, lower

Explanation:

A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds
What is the acceleration?
- 13 m/s
-6m/s
6 m/s
13 m/s

Answers

Answer:

C

Explanation:

65-35 = 30

30 divided by 5 = 6

The answer will be 6 m/s

Explanation:

c............ ......

...

what is this one too i dont know im lazy right now

Answers

Answer:

The answer is Digestion (d)

An atom or ion has the abbreviated electron configuration [kr]. Select the species that it could not be

Answers

An atom or ion which does not have the same electronic configuration as the species [kr] is K+

The complete question is given below:

An atom or ion has the abbreviated electron configuration (Kr). Select the species that it could not A. Br" B. K+ C. Sr24 D. Rbt E. Se-

What is an atom?

An atom can be defined as the smallest particle of an element which can take part in a chemical reaction.

Some elements are

Monoatomic; eg: CDiatomic; eg: O2Triatomic and othersPolyatomic

So therefore, an atom or ion which does not have the same electronic configuration as the species [kr] is K+

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The number of electrons in the atom comprised the atomic number and the electronic configuration. The ionic species that lacks the same configuration as Kr is potassium ion.

What is atom?

An atom is the smallest unit of the matter with the presence of electrons, protons and neutrons as the subatomic particles. The electrons are present in the orbital and the loss and gain of the electrons adds charge to the atom.

The number of electrons in Kr atom is 36. The number of electrons in the following species is:

[tex]\rm Br^-=36\\Sr^{2+}=36\\K^+=18\\Rb^+=36\\[/tex]

Thus, the atom or ionic species that lacks the same configuration as Kr is potassium ion.

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A book on a shelf 2.5 m above the floor has a mass of 1.7 kg. What is the gravitational potential energy of the book?

Answers

Answer:

42.5J (If g = 10)

41.6925J (If g = 9.81)

41.67975J (If g = 9.807)

Explanation:

Gravitational Potential Energy = Mass X Height X Gravitaitonal Field

Earth's Gravity is = 9.807 m/s^2

It is often rounded to 9.81 or 10

What is the term for either the number of times per second that a wave vibrates or the number of matching points that pass a location during one second? O A. Frequency B. Period O C. Wavelength D. Amplitude​

Answers

The right answer is Frequency. Option A

Frequency is defined as the number of wave oscillations per unit of time and is measured in hertz. Frequency is directly proportional to pitch. Distance from the rest position to maximum shaft deflection. Frequency The number of waves he passes through a particular point per second. Measures the time it takes for a wave cycle to complete.

Maximum displacement or distance traveled by a point on the vibrating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. The frequencies are opposite. The number of wave cycles to complete per second. Both amplitude and wavelength are measures of distance. Amplitude measures the height of the wave crest from the centerline. Wavelength measures the horizontal distance between cycles.

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What is the definition of the word PER?

Answers

Answer:

Per is a Latin preposition that means "through" or "by means of". Per (pronounced like "purr") is also an English preposition that can mean "for each", "to each", "by means of", or [lastly, annoyingly] "in accordance with"; somewhat interchangeably with the [even more annoying] "as per". In the example expressions here, it conveys "because of the rationale presented at/by".

Answer:

(Entry 1 of 4) 1 : by the means or agency of : through per bearer. 2 : with respect to every member of a specified group : for each. 3 : according to —often used with as per instructionsas per usual.

Explanation:

A physician is going to use high-frequency electromagnetic radiation to treat cancer in a patient. Which is a claim about this event?(1 point)

A wave model is most useful for describing the frequency of the radiation.


Using gamma rays is the best to treat cancer because they act like particles.

The radiation will destroy the cells by transferring energy to them.


All of the cancer cells in the targeted region will be destroyed by the radiation.

Answers

Answer:

The answer is B

Explanation:

This is the only statement that is opinionated, therefore it is the only claim.

Answer: A wave model is most useful for describing the frequency of the radiation

Explanation:

I just took the test

A proton wit a kinetic energy of 9. 3 x 10^-15 j moves perpendicular to a magnetic field of 0. 87 t. What is the radius of its circular path?

Answers

The radius of the given circular path moved by the proton which is perpendicular to a magnetic field of 0.87 T determined as 4 cm.

Magnetic force of the proton

The magnitude of the magnetic force on the proton is determined using the following formula;

F = qvBsin(θ)

Centripetal force on the proton

The centripetal force of the circular path is given as;

F = mv²/r

Solve the two equations together,

[tex]\frac{mv^2}{r} = qvBsin(90)\\\\r = \frac{mv}{qB}[/tex]

Where;

v is the speed of the protonSpeed of the proton

The speed of the proton is determined from its kinetic energy;

[tex]K.E = \frac{1}{2}mv^2\\\\ v= \sqrt{\frac{2K.E}{m} } \\\\v = \sqrt{\frac{2 \times 9.3 \times 10^{-15}}{1.67 \times 10^{-27}} } \\\\v = 3.33\times 10^6 \ m/s[/tex]

Radius of the circular path

The radius of the circular path is calculated as follows;

[tex]r = \frac{(1.67 \times 10^{-27}) \times (3.33 \times 10^6)}{(1.6\times 10^{-19}) \times (0.87)} \\\\r = 0.04\ m\\\\r = 4 \ cm[/tex]

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which change of state is shown in the photo

A) Liquid to solid
B) Liquid to gas
C) Gas to liquid
D) Solid and liquid

Answers

The change of state that is shown here is from solid to liquid. The correct option is D.

What is states of matter?

A state of matter is one of the various forms that matter can take in physics. In everyday life, four states of matter are visible: solid, liquid, gas, and plasma.

In most environments, matter can exist in three distinct physical states: solid, liquid, and gas. In extreme environments, other states such as plasma, Bose-Einstein condensate, and neutron stars may exist.

Here in the given image, ice which is a solid is getting transformed into water i.e., liquid, so it can be considered that the phase is transforming from solid to liquid.

Thus, the correct option is D.

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Daryl uses a microphone connected to an oscilloscope to study sound waves. He finds that higher pitched sounds have higher frequencies and shorter wavelengths while lower pitched sounds have lower frequencies and longer wavelengths. Daryl concludes that the relationship between the frequency and the wavelength of sound waves in air is the result of causation and not correlation. In two to three sentences, describe whether Daryl’s conclusion is correct and explain why or why not.

Answers

Daryl’s conclusion that the relationship between the frequency and the wavelength of sound waves in air is the result of causation is correct.

What is Causation?

This is defined as the relationship between successive events when the first event brings about the other.

The higher frequencies brings about shorter wavelengths which is why it is termed as being  a result of causation.

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Both Transverse and Longitudinal Waves transmit____and not_____

A power, work

B work, power

C energy, matter

D matter, energy​

Answers

Explanation:

How are animals similar? All animals are made of many cells. Most animals can move on their own. Like all living things, animals grow, change, reproduce, and respond to their environment.

16. By how much leeway (both percentage and mass) would you have in the selection of the mass of the object in the previous problem if you did not wish the new period to be greater than 2.01 s or less than 1.99 s?

Please show all of your work.

Answers

Here is the solution for previous question

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}[/tex]

[tex]\\ \rm\rightarrowtail T\propto \sqrt{m}[/tex]

Hence

[tex]\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}[/tex]

[tex]\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}[/tex]

[tex]\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}[/tex]

[tex]\\ \rm\rightarrowtail m_2=0.888888888\dots[/tex]

So

from this

So it's infinite in terms of 8 so must be greter than one 8

We rounded it up for 3 decimals

0.889kg

So

Error range=[1.99,2.01]

∆Error=2.01-1.99=0.02

Very mere one

Now find percentage

[tex]\\ \rm\rightarrowtail \dfrac{0.02}{2}(100)=0.01(100)=1\%[/tex]

Mass should be lied in

0.01(0.889)=0.00889 kg

But for increase mass

it would be

0.00889-0.00500=0.00389kg
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