If a 1000 kg cannon at initialy at rest fires a 10 kg cannonball at 200 m/s, what is the final velocity of the cannon?

Answers

Answer 1

Since the whole cannon AND the lead cannonball inside it are starting out motionless, there's no momentum before the shot.  

We know that momentum is conserved, so the total momentum after the shot must also be zero.  This tells us that whatever momentum the ball carries away in THAT ===> direction, the cannon itself will have the same amount of momentum in THIS <=== direction.  That way, they'll add up to zero like we need them to.

The physics we need:  Momentum = (mass) x (velocity)

OK. All students hearing protection ready now.  Ready on the left.  Ready on the right.  Ready on the firing line.   Cannon discharge in three.  Two.  One.  ZERO.  BOOM !

-- 10 kg ball flying THAT way ==> at 200 m/s.

Momentum= (10kg)x(200 m/s THAT==>way = 2,000 kg-m/s THAT==>way

-- Cannon momentum = (1000 kg) x (velocity THIS <== way)

Cannon momentum = 2,000 kg-m/s THIS<==way

(1000 kg) x (velocity) = 2,000 kg-m/s this<==way

Divide each side by (1,000 kg):

Velocity = (2,000 kg-m/s) / (1,000 kg)  this<==way

Velocity of the cannon = 2 m/s this<==way


Related Questions

A car is pulled with a force of 10,000 N. The car's mass is 1267 kg. But, the car covers 394.6 m in 15 seconds

[a]What is the expected acceleration of the car from 10,000 N force?

[b]What is the actual acceleration from the observed data of x and t?

[c]What is the difference in accelerations?

[d]What force caused this difference?

[e]What is the magnitude and direction of the force that caused the difference in acceleration?

Answers

F=m*a=>a=F/m=10000/1267=7.89 m/s²

d=v₀t+a't²/2<=>394.6=112.5*a'=>a'=3.5

a-a'=7.89-3.5=4.39 m/s²

This difference causes friction forces

We apply the second principle of dynamics: vector: F + N + G + Ff = ma (vector vectors, I can not here)

Scalar: Ox: F-Ff = ma

            Oy N-mg = 0

Ff = -ma+ F =-1267*7.89+10000=-8869+10000=1131 N

This frictional force (Ff) is opposite to the traction (F)


Which of the following types of stars is most likely to end up as a red supergiant?
A
B
C
D

Answers

the correct answer is D.

Answer:

Option D

Explanation:

Red Super giants are the biggest stars in our universe and are formed when the inner core of a star does not have its fuel which is hydrogen. The outer layer starts to do fission and thus become very hot.

As per the given graph, the wavelength is increasing in option D thus radiating more energy and heat. Wavelength of red color  lies in range given in last graph.

(Tennis)
Match the terms to their definition.

A ) ace
a stroke done to the right-front of the body (for right-handers), with the racket in a normal position (palm of hand facing opponent)
B ) backhand stroke
position facing the net. Used to begin most tennis strokes
C ) endurance
a tennis stroke made across the body with the back of the hand facing the direction of the stroke
D ) fault
exercising to increase stamina; mostly associated with aerobic activities and cardiovascular health
E ) flexibility
the way the game begins. Governed by a specific set of rules
F ) forehand stroke
a tennis stroke that creates a backspin on the ball
G ) let
is the absolute range of movement in a joint or series of joints and muscles
H ) rally
forward spin (usually of a moving ball) that is imparted by an upward stroke
I ) ready position
a sequence of shots within a point
J ) service
to exert force on an object using muscles
K ) slice
a service winner; the opponent cannot return the serve
L ) strength
when the service hits the net and lands in a let is played and the server gets another ball
M ) topspin
when the ball does not land in the service box

Answers

A) A service winner; the opponent cannot return the serve

B) A tennis stroke made across the body with the back of the hand facing the direction of the stroke

C) Exercising to increase stamina; mostly associated with aerobic activities and cardiovascular health

D) When the ball does not land in the service box

E) Is the absolute range of movement in a joint or series of joints and muscles

F) A stroke done to the right-front of the body (for right-handers), with the racket in a normal position (palm of hand facing opponent)

G) When the service hits the net and lands in a let is played and the server gets another ball

H) A sequence of shots within a point

I) Position facing the net. Used to begin most tennis strokes

J) The way the game begins. Governed by a specific set of rules

K) A tennis stroke that creates a backspin on the ball

L) To exert force on an object using muscles

M) A tennis stroke made across the body with the back of the hand facing the direction of the stroke

An Aluminium bar is 3.25m long and has a diameter of 25mm. If the temperature difference between the ends is 250°C, find the rate of heat transfer along the bar. (Where the Thermal conductivity for Al is 205W/m°C)

is it 5.67 W, 7.74 W, or 10.5 W?

Answers

Answer

7.74 W


Explanation

The formula for getting the the rate of heat transfer is:

[tex]\frac{Q}{T}[/tex]=[tex]\frac{KA(T2 - T1) }{d}[/tex]

A = πr² = π×(12.5/1000)²

            = 4.908×10⁻⁴m²

Rate of heat transfer   = [tex]\frac{205*4.908×10⁻⁴*250}{3.25}[/tex]

                                      = 7.74 W


28) Q: A: You are sitting in a car that isn't moving; suddenly, the car quickly accelerates. Your body seems to be pushed back against the seat. Which word best explains why your body seemed to be pushed backward against the seat?

Answers

the seat is moving with the car and pushing you to keep up with the car or else the seat breaks and you go flying backwards until something stops you .... ouch.

You feel pushed back against the seat, but it's the seat pushing you forward.

Answer:

Inertia.

Explanation:

The first law of Newton states that a body will remain in the same state of motion ( relative rest or uniform movement) if there is no force applied to it.

Why will the body remain in the same state of motion? This is because of inertia.

Inertia is the property of bodies that tries to keep them in a state of motion.

In the case that the car suddenly moves, your inertia tries to keep you in a relative rest to the ground, that's why your body feels like being pushed back.

Help me with theses 2 questions please.


1. Describe a situation in which an object gains the same amount of GPE(gravitational potential energy) when two different paths are taken to the same point. Explain (using requirements of work) why this is.


2. Explain what equilibrium and spring constant mean in relation to elastic potential energy.



Thanks if you can help with this.

Answers

1)

Answer: A inclined plane and staircase reaching the same height. Work depends on initial and final position only.

Explanation:

The amount of work done does not depend on path length. It depends on initial and final position. It is given by gravitational potential energy.

W = m g h

Where, m is the mass of the object, g is the acceleration due to gravity and h is the height.

Let the mass of the object be m. Two different paths ( one inclines plane and another staircase) are taken to same point. The object would gain same gravitational potential energy because it depends on the height through which the object is taken and not the actual path length.

W ∝ h.

2)

Spring constant can be defined as the ratio of amount of force acting spring  with the displacement caused due to the force. A deformed elastic object has elastic potential energy stored in it which is equal to the work done to deform the object. It is proportional to the spring constant and amount of stretched distance.

Equilibrium is reached when the net force acting on the spring is zero. In equilibrium state, the object has natural extension.  An object is said to possess elastic potential energy  when force is applied and object deforms relative to original equilibrium shape or length.




what force is required to accelerate a 10 kg mass at 5m/sec^2

Answers

Given Data

Acceleration (a) = 5 m/s²

mass ( m) = 5 Kg

From Newtons II law, We know that

    F = m. a

    F = 10 × 5

      = 50 N

50 N force is required to accerate the mass

Bo learns about the law of inertia.
It states that objects at rest tend to stay at rest, and objects in motion tend to stay in motion the state of motion changes only when another force acts on an object. Bo wants to use this law to predict how a soccer ball will roll on the grass after he kicks it. which statement BEST describes the motion of the ball
(Answer choices in picture)

Answers

After Bo kicks the ball originately at rest. It changes because it has been acted upon. The ball will roll because of the kick. The friction between the ball and the grass will eventually get it to stop. The answer is A.

Final answer:

According to the law of inertia, a soccer ball will continue moving in the same direction and at the same speed it was initially kicked until the frictional force from the grass causes it to stop.

Explanation:

The concept Bo is learning about, inertia, is the principle in physics that an object will maintain its motion, whether that be at rest or in movement, unless an external force causes it to change. In the context of the soccer ball, once Bo kicks it, the ball will move in the same direction and at the same speed it was initially propelled with. However, the surface it is rolling on (the grass) introduces friction, which is the force that gradually slows the ball's motion down. Overcoming this resistance requires energy. As the ball loses energy due to the friction from the grass, it will eventually come to a stop. Therefore, according to the law of inertia, the ball will continue moving until the frictional force from the grass causes it to stop moving.

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Bo learns about the law of inertia.

It states that objects at rest tend to stay at rest, and objects in motion tend to stay in motion the state of motion changes only when another force acts on an object. Bo wants to use this law to predict how a soccer ball will roll on the grass after he kicks it. which statement BEST describes the motion of the ball

(Answer choices in picture)

Astronauts often undergo special training in which they are subjected to extremely high centripetal accelerations. One device has a radius of 15 m and can accelerate a person at 98 m/s2. What is the speed of the astronaut in this device?

Answers

Answer:

 Speed of astronaut = 38.34 m/s

Explanation:

 Centripetal acceleration is given by the expression, [tex]a=\frac{v^2}{r}[/tex], where v is the velocity and r is the radius.

 Here centripetal acceleration is given, radius is given, we need to find velocity.

 Centripetal acceleration = 98 m/s²

 Radius = 15 m.

 We have,

     [tex]a=\frac{v^2}{r} \\ \\ 98=\frac{v^2}{15} \\ \\ v=38.34m/s[/tex]

Speed of astronaut = 38.34 m/s

the change in momentum experienced by a object is equivalent to the...

a. objects kinetic energy.
b.force acting on the object.
c. impulse acting on the object.
d. objects potential energy.
e. objects velocity.

Answers

Answer: C (impulse acting on the object)

The momentum is defined as it is the impulse acting on the force . Change in momentum is known as Impulse. Impulse is used to increase or decrease the momentum of object.                                    

From Newtons II law

              F = m. a

                = m. v/t               since a = rate of change of velocity.

             F . t = m . v

F . t is known as impulse momentum

How is physical change different from a chemical change?

Answers

Hello there!

Physical changes do not change what a substance is, whereas a chemical change results in a new substance being formed, so they do change what a substance is.

I hope I could help you to solve this question. Have a great rest of your day! :)

Final answer:

Physical change involves a change in the form but not in the composition of a substance, such as melting wax. Chemical change, on the other hand, results in a new type of matter, which is observed in reactions like rusting or combustion. They both might involve the emission or absorption of heat.

Explanation:

The difference between physical change and chemical change lies in the alteration of the original composition of matter. In a physical change, such as boiling or melting, the composition remains the same even though the state or form may change. For instance, when wax is heated and turns into liquid, it is a physical change because no new matter is formed.

 

On the other hand, a chemical change involves a transformation in the original matter's structure, leading to a new type of matter. This is observed in processes like rusting of iron or combustion burning. For example, when nitroglycerin explodes, it results in gases that are different from the original matter.

Moreover, chemical and physical changes may involve the release or absorption of heat. The combustion of an oxyacetylene torch is an exothermic process releasing heat, while the use of a cold pack for treating muscle strains is an endothermic process absorbing heat.

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Which layer in the atmosphere contains the most water vapor and gases? A. thermosphere B. stratosphere C. mesosphere D. troposphere

Answers

D. Troposphere

The layer of the atmosphere that is above the troposphere and in which temperature increases as altitude increases. This atmospheric layer contains the ozone layer. The layer closest to Earth, where almost all weather occurs. It contains the gases water vapor, oxygen, nitrogen, and carbon dioxide.


Troposphere layer in the atmosphere contains the most water vapor and gases. Hence, option (D) is correct.

What is atmosphere?

The atmosphere is a key component of Earth's interconnected physical systems. The layers of gases that surround a planet or other celestial body form the atmosphere.

The Earth's atmosphere is made up of 78% nitrogen, 21% oxygen, and 1% other gases. These gases are found in the atmospheric layers (troposphere, stratosphere, mesosphere, thermosphere, and exosphere), which are distinguished by distinct characteristics such as temperature and pressure.

The atmosphere shields life on Earth from incoming ultraviolet (UV) radiation, keeps the planet warm through insulation, and prevents temperature extremes between day and night. The sun heats the layers of the atmosphere, causing convection, which drives air movement and weather patterns all over the world.

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In the diagram, the center dot represents the car, and the arrows represent the forces acting on the car Which term describes the forces acting on the car. A- inertial B- buoyant. C- unbalanced. D- balanced

Answers

Answer:

C- unbalanced

Explanation:

The arrow to the right has 1000 N less than the rest of the other forces, this means that the forces are unbalanced and the object is moving left.

The sum of the forces along the horizontal component is not equal to that of the vertical, hence the force acting on the car is an unbalanced force

From the given diagram, we have forces acting in the x and y-direction. In order to determine the nature of the forces acting on the car, we will take the sum of the forces acting on the car as shown:

For the horizontal component;

[tex]\sum F_x =+5000 - 6000\\\sum F_x = -1000N[/tex]

Similarly for the vertical component;

[tex]\sum F_y = 6000 - 6000\\\sum F_y = 0N[/tex]

Since the sum of the forces along the horizontal component is not equal to that of the vertical, hence the force acting on the car is an unbalanced force

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a ramp with a mechanical advantage of 8 lifts objects to a height of 1.5 meters how long is the ramp

Answers

Given data:

M.A. =  8 (No units),

Ramp height (h)= 1.5 m, lifted,

Determine how long is the ramp=?

General formula

Mechanical Advantage = (Ramp length) ÷ (Ramp height),

                             M.A = l  ÷ h

                                  8 × 1.5 = l = 12 m long

length of the ramp l ramp = 12 m



The length of the ramp can be found using the mechanical advantage formula. Given a mechanical advantage of 8 and a height of [tex]1.5 m[/tex], the ramp length is [tex]12 m[/tex].

Determining the Length of the Ramp

To determine the length of the ramp, we can use the formula for mechanical advantage (MA) of an inclined plane, which is given by:

MA = Length of ramp / Height of ramp

From the question, we know the mechanical advantage (MA) is 8, and the height of the ramp is 1.5 meters. Let's use the formula to find the length of the ramp:

[tex]8 = \text{Length of ramp} / 1.5[/tex]

[tex]\text{Length of ramp} = 8 \times 1.5 = 12 m[/tex]

Therefore, the ramp is 12 meters long.

A boat takes 3.0 hours to travel 50 km down a river, then 5.4 hours to return. Determine the speed of the water in the river.

Answers

Answer:

3.7 km/h

Explanation:

Let's call v the proper speed of the boat and v' the speed of the water in the river.

When the boat travels in the direction of the current, the speed of the boat is:

v + v'

And it covers 50 km in 3 h, so we can write

[tex]v+v' = \frac{50 km}{3 h}=16.7 km/h[/tex] (1)

When the boat travels in the opposite direction, the speed of the boat is

v - v'

And it covers 50 km in 5.4 h, so

[tex]v-v'=\frac{50 km}{5.4 h}=9.3 km/h[/tex] (2)

So we have a system of two equations: by solving them simultaneously, we find the value of v and v':

[tex]v+v'=16.7 \\v-v'=9.3[/tex]

Subtracting the second equation from the first one we get:

[tex](v+v')-(v-v')=16.7-9.3\\2v'=7.4\\v'=3.7[/tex]

So, the speed of the water is 3.7 km/h.


The density of an object is .835 g/cm3. If its volume is 34 cm3, what is the mass of the object?

Answers

D = m/v


Given:

D: .835 g/cm3

V: 34 cm3

M: ?


M= Dxv


M= .835 g/cm3 x 34 cm3

M= 28.39 g

Answer:

28.39

Explanation:

yes I did the math to

Compare solids, liquids, and gases in terms of their shape and volumes.

Answers

Solids: fixed shape and fixed volume
Liquids: fixed volume but no fixed shape (takes the shape of the bottle...etc)
Gases: no fixed shape or liquid

what is the final volume of a gas with an initial volume of 200 .0ml if the pressure decreases from 500.0 kpa to 250.0 kpa

Answers

Answer:

Given Data:

V2 ?

V1 = 200 ml,

P1 = 500kpa and P2 = 2500kpa


From Boyels law (Ideal gas law) Where temperature remains constant, Pressure is inversely proportional to volume.

                   P1 .V1 = P2 . V2  ;       T=Constant

                        V2 = (P1.V1) ÷ P2

                              = (500×200) ÷(250)

                              = 400 ml

The final volume of the gas is 400 ml.

Note: Increased pressure decreases the volume or decreased pressure increase the volume as they are inversely proportional. Here in our answer pressure decreases from 500 kpa to 250 kpa so volume increases from 200 ml to 400 ml.

Using Boyle's Law, the final volume of a gas with an initial volume of 200.0 mL and an initial pressure of 500.0 kPa decreases to 250.0 kPa is calculated by rearranging the equation P₁V₁ = P₂V₂ to solve for the final volume, resulting in a final volume of 400.0 mL.

Find the final volume of a gas following a decrease in pressure, given the initial volume and the initial and final pressures. To solve this problem, we use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature and the amount of gas remain constant. The equation derived from this law is P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, respectively, and P₂ and V₂ are the final pressure and volume.

To find the final volume (V₂), we rearrange the equation to V₂ = (P₁V₁)/P₂. Substituting the given values into the equation, we have:
V₂ = (500.0 kPa × 200.0 mL) / 250.0 kPa
V₂ = (100000.0 kPamL) / 250.0 kPa
V₂ = 400.0 mL

Therefore, the final volume of the gas is 400.0 mL.

Amy has a mass of 30 kg, and she is riding a scateboard traveling 5 m/s. what is her momentum?

Answers

Answer:


Momentum (p) = m . v  Kg-m/s

                          = 30 × 5

                      p  = 150 Kg .m/s

Which could cause a satellite to descend low enough that it burns up in the Earths atmosphere?
A. Centripetal force
B. Air resistance
C. Gravitational force

Answers

the awenser is b air resistance

Answer:

B. Air resistance

Explanation:

If the distance at which the satellite orbits is not enough to avoid the atmospheric drag, it will be affected by the friction of the Earth's atmosphere and the drag will slow down the speed of the satellite. Therefore, It will result in the reduction in the altitude of a satellite's orbit and eventually burn.

Someone who appears to be lacking in intelligence according to intelligence testing scores but seems to excel in other domains is said to have

Answers

Someone who appears to be lacking in intelligence according to intelligence testing scores but seems to excel in other domains is said to have SAVANT SYNDROME




Answer:

Someone who appears to be lacking in intelligence according to intelligence testing scores but seems to excel in other domains is said to have SAVANT SYNDROME

Explanation:

Savant Syndrome is a set of anomalous cognitive symptoms where people suffer from a major left hemisphere disability; however, they can perform surprisingly well some tasks that involve the right hemisphere. People with savant syndrome develop talents, that is, extraordinary abilities in particular, concrete and peculiar.

In other words, according to this syndrome, some people with mental disorders and despite their physical, mental or motor disabilities, possess a surprising ability or specific mental abilities. That is, it is a condition in which a person with a mental disorder (such as an autism spectrum disorder) demonstrates a deep and prodigious ability or ability, far superior to what would be considered normal.

People with Savant Syndrome may have neurodevelopmental disorders (especially autism spectrum disorders) or brain injuries.

The most common abilities of the Savant are centered in Art (music, painting and sculpture), Calculation of dates, Mathematical calculation and mechanical and spatial skills.

What sequence shows electromagnetic waves arranged from shorter to longer wavelengths ?

A. Visible light , infrared radiation, microwaves,and ultra violet rays

B. infrared radiation, Visible light, ultra violet radiation, and microwaves

C. Microwaves, infrared radiation, Visible light , and ultra violet radiation

D. ultra violet radiation,visible light , infrared radiation, and microwaves

Answers

so from what i was looking at i think the answer is d because The shorter the wavelength, the higher measure of vitality it produces.So the request is D. Bright beams, Visible light, Infrared, and Microwaves.


Which of the following is NOT a recommended change in physical activity for aging individuals? A. taking a longer time to warm up and cool down B. being cautious about exercising in extreme conditions C. using less weight, but adding repetitions D. participating only in cardiovascular exercises Please select the best answer from the choices provided. A B C D

Answers

participating only in cardiovascular exercises

Participating only in cardiovascular exercises is not a recommended change in physical activity for aging individuals.

What is Cardiovascular exercise?

This is the type of physical activity which stresses the cardiorespiratory system.

It is however not ideal for aging individuals due to their weak body system which is why option D was chosen.

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How are analog and digital signals similar? Check all that apply.

Both reduce noise.

Both pick up noise. Both make noise louder.

Both transmit data or information.

Both get weaker when traveling long distances.

Answers

Answer:

Both transmit data or information.

Both get weaker when traveling long distances.

Answer:

Both transmit data or information.

Both get weaker when traveling long distances.

Explanation:

Just did it on Ed. ^^

The two waves shown here are the same distance from point x and are traveling toward each other
What is the amplitude of the resulting wave when the two waves meet at point x

A). 0.0 cm
B) 1.0 cm
C) 2.0 cm
D) 4.0 cm

Answers

The Answer should be A: 0.0

Answer:

A). 0.0 cm

Explanation:

When two waves travel and meet at the same point, a phenomenon known as interference occurs.

The two extreme cases of interference are the following:

- When two waves in phase meet at the same point, the resultant wave produced by the interference has amplitude which is the sum of the amplitude of the individual waves

- When two waves in anti-phase meet at the same point, the resultant wave produced by the interference has amplitude which is the difference between the amplitudes of the individual waves

In this problem, we have two waves of amplitde A1  = 2.0 cm and A2 = 2.0 cm that meet at X in anti-phase (because they have opposite displacement): therefore, it is a destructive interference, and the resultant amplitude will be

[tex]A=A_1 -A_2 = 2.0 cm - 2.0 cm = 0.0 cm[/tex]

Which of the following is an example of acceleration? Select one: a. A boy walks two miles in one hour. b. A girl walks two miles per hour north for three hours. c. A boy walks two meters north, turns west, and walks another two meters. d. A girl drives a total distance of 240 miles in just under four hours.

Answers

The answer is option C .Because as the direction of the boy changes ;velocity changes .

Answer

Correct answer is option C .

Explanation:

Option A cannot be correct option because in this case only distance traveled and time is given we are not sure whether velocity is changing or not.

Option B

In this case girl travel with constant velocity so it cannot be accelerated motion

Option C

Correct option is C. Because as the direction of the boy changes that time velocity changes and rate of change of velocity with respect to time is known as acceleration

Option D

In this case also only distance and time is given we cant say whether it is accelerated motion or not

If Steve throws the football 50 mentees in 3 seconds what is the average speed (velocity) of the football

Answers

(50 meters) / (3 seconds) = (50/3) (meters/sec) = (16 and 2/3) meters/sec .

Speed is correct.

It's NOT velocity.

They're different things.

A person standing at the edge of a merry-go-round must hold on tightly to keep from flying off the edge as it speeds up. What name is given to the force that keeps the person moving in a circular path?

Answers

Answer:

The force in this setting is called centripetal.

Explanation:

While the centripetal force acts in the direction pointing toward the center of the curvature (in this case the center of the merry-go-around), the foce opposing it is referred to as centrifugal.

Answer:

Centripetal force

Explanation:

A ____________ is a machine which contains a lever and a wedge that combine to make work easier.

Answers

Answer: Simple machine

The movable inclined plane is called wedge.A simple machine is a machine, which contains lever and wedge, is used to push the things apart.   The mechanical advantage of a wedge is given by the ratio of length of its slope to its width.

Which of the following factors determines the strength of the frictional force between two surfaces?

The amount of heat generated by the frictional

The types of surfaces involved

The objects' sizes

How hard the surfaces push together

Answers

Types of surface and how hard they push together

Answer:

option 2 and 4

Explanation:

The strength of frictional force depends on the types of forces involved and how hard the surfaces push together.

If the surfaces are rough, then the frictional force between two surfaces is more and if the surfaces are smooth, the frictional force between two surfaces is less.

If they push hard, it means the weight on the surface is more and thus, the normal reaction force is more.

Friction force is directly proportional to the normal reaction force, so, the friction force depends on the push.

Other Questions
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