As part of a carnival game, a 5.00 kg target is freely hanging from a very long and very light wire. Contestants can use one of two 1.5 kg balls to try to hit the target and deflect it high enough to win a prize. Ball A will have an elastic collision and bounce back toward you while ball B will have a nearly perfectly inelastic collision, but rather than sticking to the target, the ball will just drop straight downward to the ground after the collision. You can throw each ball with a velocity of 12 m/s. You are the first to try the game and which ball should you throw? Calculate the expected height the target will reach after each is thrown.

Answers

Answer 1

Answer:

Height ball A will deflect the target is 2.65 m

Height ball A will deflectthe target is 2.2 m

Ball A, will deflect the target to greater height, thus i will throw ball A

Explanation:

Given;

mass of the target, m₁ = 5.00 kg

mass of the ball, m₂ = 1.5 kg

initial velocity of each throw, u = 12 m/s

Throwing ball A; apply the principle of conservation linear momentum for elastic collision;

m₁u₁ + m₂u₂ = v₁m₁ + v₂m₂

The initial velocity of the target, u₁ = 0

The ball bounced back at the same speed, v₂ = -12 m/s

the velocity of the target after collision, = v₁

0 + 1.5 x 12 = v₁(5) + (-12 x 1.5)

18 = 5v₁ - 18

18 + 18 = 5v₁

36 = 5v₁

v₁ = 36/5

v₁ = 7.2 m/s

The vertical height reached by the target is given by;

v₁² = u₁² + 2gh

v₁² = 0 + 2gh

v₁² = 2gh

h = v₁² / 2g

h = (7.2)² / (2 x 9.8)

h = 2.65 m

Throwing ball B; apply the principle of conservation energy for the inelastic collision;

the kinetic energy of the ball will be converted to the potential energy of the target.

¹/₂m₁u₂² = mgh

¹/₂(1.5)(12)² = (5 x 9.8)h

108 = 49h

h = 108 / 49

h = 2.2 m

Ball A will deflect  the target to greater height, thus i will throw ball A.


Related Questions

Weight is best defined as _____. A the amount of space an object takes up B the speed of an object C the force of gravity on an object D the amount of energy in an object

Answers

Weight is best defined as C) the force of gravity on an object.

Two skaters, both of mass 75 kg, are on skates on a frictionless ice pond. One skater throws a 0.4-kg ball at 6 m/s to his friend, who catches it and throws it back at 6.0 m/s. When the first skater has caught the returned ball, what is the velocity of each of the two skaters

Answers

Answer:

v = 0.064 m/s

Explanation:

Given that,

The mass of two skaters = 75 kg

The mass of a ball = 0.4 kg

The speed of the ball = 6 m/s

The speed of skater = 6 m/s

We need to find the velocity of each of the two skaters.

Under the values given the moment with respect to the ball and which is subsequently transmitted to people it would be given by:

\(P=0.4(6)+0.4(6)\\\\=4.8\ kg-m/s\)

We know that,

P = mv

Where

v is the velocity of each skater.

\(v=\dfrac{p}{m}\\\\v=\dfrac{4.8}{75}\\\\=0.064\ m/s\)

So, the velocity of each of the skaters is 0.064 m/s.

Activity 1: UNITS OF MEASUREMENT

I. Identify the quantity described by the following units of measurement. Copy and write your answer on one whole sheet of paper.


1. meter per second = _________ 11. joule = ____________

2. meter = _________ 12. Kilogram = ____________

3. second = _________ 13. Cubic meter = _________

4. meter per second squared = ____ 14. Mole = ____________

5. square meter = _________ 15. Kilogram per cubic meter=

6. mass = _________ 16. Watt = ____________

7. newton = _________ 17. Ampere = ____________

8. kelvin = _________ 18. Hertz = ____________

9. volt = _________ 19. Coulomb = ____________

10. candela = __________ 20. Pascal = ____________

Answers

meter per second = speed or velocitymeter = length or distancesecond = timemeter per second squared = accelerationsquare meter = areamass = amount of matter in an objectnewton = forcekelvin = temperaturevolt = electric potential or voltagecandela = luminous intensityjoule = energy or workkilogram = masscubic meter = volumemole = amount of substancekilogram per cubic meter = densitywatt = power or rate of doing workampere = electric currenthertz = frequencycoulomb = electric chargepascal = pressure

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A elephant kicks a 5.0 kg stone with 150 J of kinetic energy.
What is the stone's speed?
Please help!

Answers

(1/2)(5.0)(v²) = 150
v= 7.75m/s


A elephant kicks a 5.0 kg stone with 150 J of kinetic energy.

What is the stone’s speed?

Answer: 7.75 m/s

____energy is from the movement of electrons.

A. gravitational
B. chemical
C. electrical
D. nuclear​

Answers

Answer:

C. electrial

Explanation:

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what is the maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water​

what is the maximum efficiency that a heat engine could have when operating between the normal boiling

Answers

The maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water is 26.8 %

η = ( \(T_{H}\) - \(T_{C}\) ) / \(T_{H}\) * 100

η = Efficiency

\(T_{H}\) = Hottest temperature

\(T_{C}\) = Coldest temperature

Hottest temperature = Boiling point

Coldest temperature = Freezing point

\(T_{H}\) = 100 °C = 373 K

\(T_{C}\) = 0 °C = 272 K

η = ( 373 - 273 ) / 373 * 100

η = 100 / 373 * 100

η = 26.8 %

In a heat engine, the heat energy is converted into mechanical energy which will be used to do mechanical work like pushing a piston out from the cylinder.

Therefore, the maximum efficiency that a heat engine could have when operating between the normal boiling and freezing temperatures of water is 26.8 %

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(01.03 MC)
An object is moving 10 m/s to the south. After one minute, its moving at a rate of 15 m/s. Explain what type of motion this is describing. Then explain
whether this represents a scalar or vector quantity.

Answers

The type of motion that is being described is linear motion and it is vector quantity because it has direction.

What is linear type of motion?

A linear motion is a type of motion in which the displacement of the object is directly proportional to the speed and time of motion of the object.

Also this type of motion occurs in a straight line.

The formula for final velocity in a linear type of motion is given as;

v = u + at

where;

v is the final velocity of the objectu is the initial velocity of the objecta is the acceleration of the objectt is time of motion of the object

From the given statement, our equation becomes;

15 m/s = 10 m/s  + 60a

Thus, the above equation shows final velocity formula which is a vector quantity.

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Rayna studied rats in a lab. She observed that all 50 rats in her sample preferred to eat brand A rat food and would eat brand B food only when brand A was not available. Can she correctly conclude that all rats prefer brand A rat food over brand B food? Why or why not?

Answers

Answer:

it is correct to conclude that rats prefer food A over food B

the standard deviation is zero

Explanation:

In the experiment performed when both meals are available, rats prefer food A and eat only B when no other is available.

Therefore it is correct to conclude that rats prefer food A over food B

This conclusion is correct because ours is significant with a population of 50 animals all have the same preference for which the standard deviation is zero

A speed skater just finished a race. After she crossed the finish line, she coasted to a complete stop. If her initial speed was 13.0 m/s and her acceleration was -2.9 m/s2, how long did it take her to stop?

Answers

Answer:

5seconds

Explanation:

because she was going through the same time

If a ball leaves the ground with a vertical velocity of 5.46 m/s, how long does it take
the ball to reach the highest point?

Answers

Answer:

0.557 s

Explanation:

Given:

v₀ = 5.46 m/s

v = 0 m/s

a = -9.8 m/s²

Find: t

v = at + v₀

0 m/s = (-9.8 m/s²) t + 5.46 m/s

t = 0.557 s

An artificial satellite in a circular orbit around the Sun has a period of 8 years. Determine the ratio of the satellite's orbital radius to that of the earth's orbital radius. Assume that the earth's orbit around the Sun is circular.

Answers

Answer:

The ratio is  \(R_c:R_e = 4 : 1\)

Explanation:

From the question we are told that

   The period of the satellite is  \(T_c = 8 \ years\)

Generally the period of earth around the sun is \(T_e = 1 \ year\)

Generally from Kepler's third law , which is mathematically represented as

      \(\frac{T_c ^2}{T_e^2} = \frac{R_c^3}{R_e^3}\)

Here  \(R_c\) is the radius of the orbit which the satellite rotate around the sun

         \(R_e\) is the radius of the orbit which the earth rotate around the sun

=>  \(\frac{R_c^3}{R_e^3} = [\frac{8}{1} ]^2\)

=>   \(\frac{R_c}{R_e} = \sqrt[3]{[\frac{8}{1} ]^2}\)      

=>   \(\frac{R_c}{R_e} = \frac{4}{1 }\)      

=>   \(R_c:R_e = 4 : 1\)

a 50 kg boy runs at 3 m/s. how much momentum does he have

Answers

Answer:

150   kg-m/s

Explanation:

momentum = m * v

50 * 3 = 150

This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?

Answers

Based on the information, we can infer that A. represents a Mitochondria.

What is a mitochondria?

Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.

Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.

Note: This question is incomplete. Here is the complete information:

Attached image

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This model shows DNA, chromosomes, and genes. If B is a cell and C is the nucleus, what is A?

A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?

Answers

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Emory pushes the box with 20 Newtons of force. If the box is 4kg, how fast will the box accelerate?

Answers

F=ma
20N=4kg.a
a=5 N/kg

A positive test charge q is released from rest at distance r away from a charge of +Q and a distance 2r away from a charge of +2Q. 1)How will the test charge move immediately after being released?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is the second option

Explanation:

 Generally the electric force exerted by the charge Q  on the  charge  (q) is mathematically represented as

           \(F_Q = \frac{kqQ}{r^2}\)

 Generally the electric force exerted by the charge 2Q  on the  charge  (q) is mathematically represented as

         \(F_{2Q} = \frac{kq2Q}{2r^2}\)    

Now the net force exerted on q is

       \(F_{net} = \frac{kqQ}{r^2} - \frac{2k q Q}{4r^2}\)

        \(F_{net} = \frac{4kqQ- 2kqQ}{4r^2}\)

        \(F_{net} = \frac{kqQ}{2r^2}\)

Looking at the resulting equation we see that \(F_{net} > 0\)

This implies that the charge q would move to the right

A positive test charge q is released from rest at distance r away from a charge of +Q and a distance

Two horizontal forces act on an object. One force has a magnitude of 75.0 N and is directed due 30.0° south of east. The other force has a magnitude of 55.0 N and is directed due 70.0° north of west. What is the magnitude and direction of the sum of the two force vectors. Select one: 122.4 N, 43.2° north of east 130.0 N, 40.0° south of east 46.6 N, 17.1° south of east 48.3 N, 17.1° north of east 20.0 N, 40.0° north of east

Answers

Explanation:

70 degrees North of west = 110 degrees

30 degrees southof east = - 30 degrees:

Vertical components added together =

  75 (sin -30)   +    55 sin 110  =  14.18  N

Horizontal components added together =

 75 cos (-30)   + 55  cos 110    = 46.14  N

Magnitude =  sqrt ( 14.18^2 + 46.14^2 ) = 48.3   N

   direction = arctan ( 14.18 / 46.14) =  ~ 17.1 North of East

1. an object given an initial velocity,which can move under gravity and is affected by air resistance is an example of projectile motion

A.True. B.False
2.the horizontal component is always equal to the vertical component of the velocity

A.True B.False
3.The formula Vx=Vø tan Ø is used to determine the magnitude of the horizontal component of the velocity
A.True B.False
4.The velocity is directed vertically upward
A.True. B.False
5.when no air acts on a projectile,it's horizontal acceleration is upward gravity
A.True B.False
6.A stone thrown into the air is an example of projectile motion
A.True. B.False
7.The time to reach the top will be 1.5625s if. projectile is thrown at angle 30° above the ground with a velocity of 100ft/s
A.True B.False​

Answers

1. A. True
2. B. False
3. A. True
4. B. False
5. B. False
6. A. True
7. B. False

Explanation:

1. The statement is true. Projectiles are objects that are launched into the air and then follow a curved path under the influence of gravity and air resistance.

2. The statement is false. The horizontal component of the velocity is independent of the vertical component of the velocity, and they can have different values.

3. The statement is true. The formula Vx=Vø tan Ø is the formula for the horizontal component of the initial velocity of a projectile.

4. The statement is false. The velocity of a projectile is directed at an angle to the horizontal, with both horizontal and vertical components.

5. The statement is false. When no air acts on a projectile, its horizontal acceleration is zero, because there is no force acting in the horizontal direction. The vertical acceleration is still due to gravity.

6. The statement is true. A stone thrown into the air follows a curved path under the influence of gravity, making it an example of projectile motion.

7. The statement is false. The time to reach the top of the projectile's path depends on the initial velocity and angle of launch, as well as the acceleration due to gravity. The time to reach the top can be calculated using the formula t = Vy/g, where Vy is the vertical component of the initialvelocity, g is the acceleration due to gravity, and t is the time. Using this formula, the time to reach the top of the projectile's path can be calculated as:

t = Vy/g = Vø sin Ø/g = (100 ft/s)(0.5)/(32.2 ft/s²) = 1.55 s (approx.)

Therefore, the statement is false.

Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3).

Answers

Answer:

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

k=y/xk=y/x

For the point (-1,-4)

substitute

k=-4/-1=4k=−4/−1=4

For the point (1,4)

substitute

k=4/1=4k=4/1=4

The linear equation is  y=4xy=4x

This line represent a direct variation

2. Identify the types of relationship for each of these expressions (linear, inverse, parabolic):
Between Kinetic energy and speed
Between potential energy and mass
between pressure and volume
between pressure and temperature
between displacement and velocity

Answers

Between Kinetic energy and speed: The relationship is quadratic or parabolic. According to the kinetic energy formula, KE = 1/2 mv^2, the kinetic energy is proportional to the square of the speed.

Between potential energy and mass: The relationship is linear. The potential energy is directly proportional to the mass. In simple cases, the potential energy is given by PE = mgh, where mass (m) and height (h) are directly proportional.

Between pressure and volume: The relationship is inverse. According to Boyle's law, the pressure and volume of a gas are inversely proportional when temperature is constant. Mathematically, P1V1 = P2V2.

Between pressure and temperature: The relationship is linear. According to Charles's law, the pressure and temperature of a gas are directly proportional when volume is constant. Mathematically, P1/T1 = P2/T2.

Between displacement and velocity: The relationship is linear. Velocity is the rate of change of displacement with respect to time, so the two are directly proportional.

10 POINTS BE FAST
Which statement illustrates how progress in engineering has affected the
natural environment?(please hurry)

A. Modern mining practices provide materials that can be used for
technological advances.

B. Modern mining equipment has improved
the health and safety of
workers.

C. Extracting mineral resources
with modern mining equipment
removes fertile topsoil.

D. Mining companies use modern equipment to extract mineral
resources more efficiently.

hurry please

Answers

Answer:

I think it's c or A hopes this help

a plastic rod is rubbed with cotton and it is observed that the rod acquires a negative charge. the same cotton is brought near the cap of a positively charged electroscope. state the observation and explain the observation on the leaf of the electroscope

Answers

This observation demonstrates the principle of electrostatics, which is the study of electric charges at rest. It highlights the fact that charged objects can interact with each other, and that opposite charges attract while like charges repel.

When a plastic rod is rubbed with cotton, electrons from the rod are transferred to the cotton, leaving the rod with an excess of positive charges, and the cotton with an excess of negative charges. This results in the rod acquiring a negative charge.

When the same cotton is brought near the cap of a positively charged electroscope, the leaves of the electroscope will diverge. This happens because the positively charged cap attracts the negative charges on the cotton, causing the electrons to move towards the cap. As a result, the leaves of the electroscope acquire a negative charge, and they repel each other due to their like charges.

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How would the photographer use the polarizing filter to find out the direction of polarization of the light coming from the blue sky?

Answers

Answer:

by rotating the filter                    

Explanation:

Rayleigh's scattering is given by the process of the scattering of light by molecules. This is very important physical phenomenon. Polarization is also an effect of light scattering.

A photographer wishes to capture photos of some cloud formation by using the polarizing filter. So the photographer will have to rotate the polarizing filter until the intensity of the light becomes maximum such that the light polarization is acts along the axis of the filter.

A 925 N crate is being pulled across a level floor
by a force F of 325 N at an angle of 25 above the
horizontal. The coefficient of kinetic friction is
0.25. Find the magnitude of the acceleration of
the crate.

Answers

The normal contact force= 925 N
The friction = 0.25 x 925 = 231.25 N
The horizontal component of the force = 925 x Cos 25 = 838.3 N
The net force = 838.3 - 231.25 = 607 N

acceleration = 607 / (925/9.8) = 6.4 m/s^2

The magnitude of the acceleration of  the crate is 1.033 m/s².

The given parameters;

weight of the crate, W = 925 Nhorizontal force applied to the carte, F = 325 Nangle of inclination of the force, θ = 25⁰the coefficient of friction, μ = 0.25

The mass of the crate is calculated as;

W = mg

\(m = \frac{W}{g} \\\\m = \frac{925}{9.8} \\\\m = 94.388 \ kg\)

The normal force on the crate is calculated as;

Fₙ = 925 - 325 x sin(25)

Fₙ = 925 - 137.35

Fₙ = 787.65 N

The frictional force on the object is calculated as follows;

\(F_k = \mu F_n\\\\F_k = 0.25 \times 787.65\\\\F_k = 196.91 \ N\)

The magnitude of the crates acceleration is calculated from the net horizontal force on the crate;

\(\Sigma F_x = 0\\\\Fcos (\theta) - F_k = ma\\\\325\times cos(25) \ - \ 196.91 = ma\\\\97.54 = ma\)

\(a = \frac{97.54}{94.388} \\\\a = 1.033 \ m/s^2\)

Thus, the magnitude of the acceleration of  the crate is 1.033 m/s².

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Question 4(Multiple Choice Worth 4 points)
(02.04 MC)
Which explanation justifies why the theory of evolution is a theory and not a law?
Predicts an organism's ability to adapt to its environment
It can be expressed as a simple mathematical statement
Explains the existence of diverse forms of life on Earth
O Additional evidence will change the theory into a law

Answers

Answer:

A(predicts an organisms ability to adapt to its enviroment, it is not a fact that each organization can adapt)

Explanation:

In Figure 10.13, the author illustrates a book being raised at constant speed. Which of the following statements are true? Select all that apply.

There is no change in the kinetic energy of the book.

The potential energy of the book-Earth system decreases.

The potential energy of the book-Earth system increases.

The potential energy of the book increases.

In Figure 10.13, the author illustrates a book being raised at constant speed. Which of the following

Answers

Answer:

There is no change in the kinetic energy of the book and the potential energy of the book-Earth system increases.

Explanation:

This is because velocity is constantly increasing. This supports the idea that the kinetic energy of the book doesn't change and that the potential energy of the book-Earth system increases.

The true statement is that ;there is no change in the kinetic energy of the book and the potential energy of the book-Earth system increases.

We have to note that from the law of conservation of mechanical energy, the sum of the kinetic and potential energy of the book at any point remains constant.

If the book is being raised at constant speed, the the true statement is that ;there is no change in the kinetic energy of the book and the potential energy of the book-Earth system increases.

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Why is the magnetic field inside a solenoid stronger than it is outside

Answers

Current in solenoid produces astronger magnetic field inside thesolenoid than outside. The field lines in this region are parallel and closely spaced showing the field is highly uniform in strength and direction. ... Strength of the magnetic field can be increased by: increasing the current in the coil.

\(hope \: it \: will \: ....\)

Can someone help me?

Can someone help me?

Answers

Answer: (1, 30), (2,10), (3,40), (4,20)

Explanation:

PLEASE HELP ME I DONT UNDERSTAND THIS AND THIS IS TIMED
In an experiment, a rubber stopper is attached to one end of a string. The stopper is whirled in a horizontal circular path of a diameter of 1.0 meter at a constant speed. The stopper completes one revolution in 0.2 seconds. Approximately what is the magnitude of the stoppers speed?

A) 3.1 m/s
B) 6.3 m/s
C) 16 m/s
D) 31 m/s

Answers

(C)

Explanation:

The circle has a radius r = 0.5 m, which means that its circumference C is

\(C = 2\pi r = 2\pi(0.5\:\text{m}) = 3.14\:\text{m}\)

One revolution means that the stopper travels a distance equal to the circumference of the circle so the velocity of the stopper is

\(v = \dfrac{C}{t} =\dfrac{3.14\:\text{m}}{0.2\:\text{s}} = 15.7\:\text{m/s} \approx 16\:\text{m/s}\)

Question 2 of 10
What happens to the resistance of a wire as its length increases?

A. The resistance is not affected by a change in wire length.

B. The resistance decreases.

C. The resistance alternates between high and low values.

D. The resistance increases.

Answers

Answer:

D.  resistance increases

Explanation:

The relationship between resistance and wire length is directly proportional, meaning the longer the wire the greater the resistance.  

Answer: The resistance increases.

Explanation: A wire's resistance is directly proportional to its length. This implies that as a wire's length increases, so does its resistance. The following formula describes this relationship:

R = ρ (L/A)

where L is the wire's length, A is its cross-sectional area, R is the wire's resistance, and ρ is the wire material's resistivity.

This formula shows that the resistance will rise when the wire's length is extended while its cross-sectional area remains the same. On the other hand, if we shorten the wire, the resistance will rise. As a result, choice D is the right response.

Other Questions
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