1. The ball was struck horizontally with a speed of 30.0 m/s.
2. The ball hit the court at a horizontal distance of 20.0 m from the racket.
3. The initial height of the ball when it left the racket was 2.2 m above the court.
4. The time taken for the ball to hit the ground was 2.12 seconds.
What is speed?Speed is a scalar quantity that represents the magnitude of an object's velocity. It is defined as the rate of change of an object's position with respect to time. Speed is a measure of how fast an object is moving, and it is expressed in units of distance per unit of time, such as meters per second (m/s) or kilometers per hour (km/h).
Speed is different from velocity in that velocity is a vector quantity that also includes information about the direction of an object's motion. So, an object's speed only gives information about how fast it is moving, while its velocity gives information about both the magnitude and direction of its motion.
For example, a car moving at a constant speed of 60 km/h has a constant velocity, but its speed is constant, while its velocity is changing if the direction of motion changes.
Calculation
Equations of motion under constant acceleration (in this case, acceleration due to gravity) can be used to solve;
The height of the ball when it leaves the racket and the time it takes for the ball to hit the ground.
The vertical position of the ball can be described by the equation:
[tex]h = h0 + v0t - (1/2)gt^2[/tex]
where h0 is the initial height of the ball when it leaves the racket, v0 is the initial vertical velocity of the ball, t is the time elapsed, and g is the acceleration due to gravity[tex](g = 9.8 m/s^2)[/tex].
Since the ball is departing horizontally, the initial vertical velocity is zero (v0 = 0). the time t has to be solved using the horizontal position of the ball:
[tex]d = v0t = 30.0 m/s * t[/tex]
[tex]t = d / v0 = 20.0 m / 30.0 m/s = 2/3 s[/tex]
The time is found, plug it back into the equation for the vertical position:
[tex]h = h0 - (1/2)gt^2 = h0 - (1/2)(9.8 m/s^2)(2/3 s)^2[/tex]
Since the initial height of the ball is not given, set h0 = 0 for simplicity. Then,
[tex]h = - (1/2)(9.8 m/s^2)(2/3 s)^2 = - 4.9 m/s^2 (2/3 s)^2 = - 4.9 * (4/9) = - 2.2 m[/tex]
So, the ball is 2.2 m above the court when it leaves the racket.
To find the time taken for the ball to hit the ground, solve the time when the vertical position of the ball is equal to zero:
[tex]0 = h0 - (1/2)gt^2[/tex]
[tex]t = sqrt(2h0 / g) = sqrt(2 * (-2.2 m) / 9.8 m/s^2) = sqrt(44.4 / 9.8) = sqrt(4.5) s = 2.12 s[/tex]
So, it took 2.12 seconds for the ball to hit the ground.
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Who described the universe as a giant clock with unified rules for gravitation and motion?
What is 25 degrees celsius ?
Answer:
77 degrees fahrenheit
Explanation:
Correct me if im wrong
the dependence of the rate constant on temperature is expressed by which equation?
The dependence of the rate constant on temperature is expressed by arrhenius equation.
The Arrhenius equation can quantitatively explain the temperature dependency of the rate of a chemical process.
[tex]k= Ae^{-Ea/RT}[/tex]
where, k is the rate constant, and T denotes the temperature. A represents the Arrhenius factor, also known as the frequency factor or pre-exponential factor. Ea is the activation energy in joules/mole, and R is the gas constant.
The ratio [tex]e^{-Ea/RT}[/tex] represents the proportion of molecules with kinetic energy greater than Ea. The Arrhenius equation has revealed that a rise in temperature or a fall in activation energy leads to an increase in reaction rate and an exponential rise in rate constant.
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At what distance from the surface of the sphere is the electron's speed half of its initial value?.
The electron's speed is measured in terms of the distance from the sphere's surface as -3.6 x 1028J.
The purpose of distance calculationWe can find out an object's actual size by knowing how far away it is. The area an object occupies in space above us can be measured. Once we know how far away it is, we can calculate its true size.
How would you define distance in plain English?Distance is an object's ultimate motion in an uninspired fashion. Regardless of the initial or concluding point, travel can be referred to as the amount of space an object having spanned.
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The posted rates for cab fare are $4 plus $1 per mile. How many miles can a passenger travel in the cab for $15?.
If the posted rates for cab fare are $4 plus $1 per mile, then the passenger can travel 11 miles in the cab for $15.
The given data is as follows:
The general fare rate of the cab is $4
The cost per each mile is $1
Total remaining cash available = $15
let us assume that n is the number of miles that passenger travel in the cab
From the above-given information, we can write the equation as follows:
Total money = Cost of fare + cost per mile
$15 = $4 + $1(n)
1(n) = 15-4
n = 11/1
n = 11 miles.
Therefore, we can conclude that the passenger can travel 11 miles in the cab for $15.
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a satellite moves in a circular orbit around the earth at a speed of 6.6 km/s. determine the satellite's altitude above the surface of the earth, Assume the earth is a homogeneous sphere of radius 6370 km and mass 5.98x10^24 kg. The value of the universal gravitational constant is 6.67259x10^-11 N x m^2/kg^2.
The altitude of the satellite above the surface of the Earth is 1,528.48 km. The given parameters; are the speed of the satellite, v = 6.9 km/s. the radius of the Earth, R = 6370 km.
What is the radius?A radius is a measure of distance from the centre of any circular object to its outermost edge or boundary. A radius is not only a dimension of a circle but also for a sphere, semi-sphere, cone with a circular base, and a cylinder having circular bases.
A circle can be defined as the locus of a point moving in a plane, in such a manner that its distance from a fixed point is always constant.
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SOMEONE PLS HELP!!! THIS IS HARD!!! I will make brainliest and this is in science!
Answer: It has the skill to nest
sorry if I'm wrong
Answer:
B: A colorful beak
Explanation:
i hope this helped!
whether a truck comes to a stop by crashing into a haystack or a brick wall, the stopping force is
i think the stopping force would be different as a haystack has less friction whilst the brick wall would have more friction
Explanation:
When you whirl a cancan at the end of a string in a circular path, what is the direction of the force you exert on the cancan?
While whirling a can (or any object attached to a string) in a circular path, the direction of the force exerted on the can is toward the centre of circular path. This force is called the centripetal force.
What is a Centripetal Force?
Centripetal force is a force that acts on an object moving in a circular path and is directed toward the centre of the circle. It is what keeps the object moving in a circular path and prevents it from flying off in a straight line.
The magnitude of the centripetal force is proportional to the mass of the object, it's velocity, and the radius of the circular path. It can be calculated using the equation[tex]F = mv^2/r[/tex], where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.
For example, while going around a curve in a car, the friction between the tires and the road provides the necessary centripetal force to keep the car moving in a circular path. Another example is a planet moving in orbit around the sun, where the gravitational force of the sun acts as the centripetal force.
In the case of a can attached to a string, the centripetal force is provided by the tension in the string. The string provides the necessary inward force to keep the can moving in a circular path, and the tension in the string is proportional to the centripetal force.
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What is meant by positive work, negative work, and zero work? Illustrate your answer with an example?
When the force and displacement are both in the same direction, positive work is produced. When the force and displacement are in opposing directions, negative work is done. When the force and displacement are perpendicular to one other, zero work is done.
When positive work is performed, the amount of energy transmitted to the object rises, and the work is said to be positive. For example, when a person lifts a box off the ground, the force applied is upward, as is the displacement of the box. As a result of the individual donating energy to the box, constructive work is done on it.
When negative work is performed, the energy transmitted to the object decreases, and the work is referred to be negative. When a person lowers a box to the ground, for example, the force applied is downward, whereas the displacement of the box is upward. As a result of the individual drawing energy away from the box, negative work is done on it.
There is no energy transfer in the case of zero work done, and the work is said to be zero. When a person moves a box over a level surface, for example, the force applied is forward, whereas the displacement of the box is horizontal. As a result, there is no work done on the box.
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An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of 6.8 m/s and measures a time of 18.8 s before the rock returns to his hand. Determine the acceleration due to gravity on this planet.
An object placed at a greater altitude will experience a reduced acceleration caused by gravity compared to an item located at a lower altitude because the value of g drops as the object's distance from the planet's core increases.
What is the acceleration due to gravity ?The radius and mass of the planet, as well as the separation between the item and the planet's centre, all affect the value of g.
Several aspects of physics, such as the motion of objects in free fall, the determination of escape velocity, and the examination of planets' and other celestial bodies' orbits, depend heavily on the acceleration caused by gravity.
The acceleration due to gravity on this planet can be determined by using the equation:
a = (2*v)/t,
where a is the acceleration, v is the initial velocity, and t is the time.
Substituting in the values given, we get:
a = (2*6.8)/18.8 = 0.7 m/[tex]s^{2}[/tex]
This is the gravitational acceleration on this planet. This equation defines the acceleration of a straight-line travelling object under the effect of gravity, hence it may be used to calculate the acceleration due to gravity on this planet.
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What is 73 °F in °C? -
Temperature of 73 °F is equivalent to 22.78 °C.
The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature.
Temperature conversion is a specific process of converting a given temperature from one temperature scale to another. In this case, we are converting from Fahrenheit (°F) to Celsius (°C).
The formula to convert from Fahrenheit to Celsius is:
°C = (°F - 32) × 5/9
Using this formula, we can convert 73 °F to °C:
°C = (73 - 32) × 5/9
°C = 41 × 5/9
°C = 22.78
So, 73 °F is equivalent to 22.78 °C.
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A large spring requires a force of 100 n to compress it only 0. 010 m. What is the spring constant of the spring?.
The spring constant of the spring is 10,000 N/m.
What is the constant ?The constant is a fixed value that does not change in response to external influences. It is often used in mathematics to represent a number that remains constant despite changes in the context or situation. In physics, constants are used to represent physical properties of matter, such as the speed of light or the force of gravity. In computing, constants are used to represent values that need to be used multiple times within a program. Constants can be used to improve code readability and maintainability, as well as to prevent errors associated with using the same value multiple times.
The spring constant, k, is a measure of how stiff the spring is; it is equal to the ratio of the force applied to the spring divided by the amount of displacement (or compression) of the spring. Therefore, the spring constant of the spring can be calculated as:
k = F/x
= 100 N/0.010 m
= 10,000 N/m
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What is the true meaning of IQ?
The true meaning of IQ Intelligence Quotient, which is a measure of an individual's cognitive abilities or intellectual potential.
IQ tests are designed to assess various aspects of cognitive functioning, such as problem-solving, abstract reasoning, memory, and perceptual speed. The true meaning of IQ is a subject of ongoing debate among psychologists and researchers. Some experts view IQ as a reliable and valid measure of intelligence, while others argue that it has limitations and may not capture the full range of human intellectual abilities. IQ scores are typically standardized, with a mean score of 100 and a standard deviation of 15 points. This means that the majority of people score between 85 and 115, while scores above 130 are considered high and scores below 70 are considered low. It is important to note that IQ scores do not reflect an individual's entire range of abilities, nor do they determine a person's success or potential in life. Many factors, such as motivation, emotional intelligence, creativity, and social skills, can also contribute to an individual's overall success and well-being. Furthermore, IQ tests have been criticized for their potential cultural and social biases, as well as their limited ability to capture certain types of intelligence, such as emotional intelligence or practical intelligence. As such, IQ scores should be interpreted with caution and used in conjunction with other measures of intellectual and personal functioning.
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A boeing-737 airliner has a mass of 20 300 kg. The total area of the wings is 105 m2. What must be the pressure difference between the top and bottom of the wings to keep the airplane up?.
The correct option is A = 1897 N/m²
Given that,
Mass m= 20,300 kg.
Area A =105 m²
Pressure different between top and bottom
Assume the plane has reached a cruising altitude and is not changing elevation. The sum of the forces in the vertical direction is given as
∑Fy = Wp + FL = 0
where
Wp = is the weight of the plane, and
FL is the lift pushing up on the plane.
Let's solve for FL since the mass of the plane is given:
Wp + FL = 0
FL = -Wp
FL = -mg
FL = -20,300× -9.81
FL = 199,143N
FL should be positive since it is opposing the weight of the plane.
Let's Equate FL to the pressure differential multiplied by the area of the wings:
FL = (Pb −Pt)⋅A
where Pb and Pt are the static pressures on the bottom and top of the wings, respectively
FL = ∆P • A
∆P = FL/A
∆P = 199,143 / 105
∆P = 1896.6 N/m²
∆P ≈ 1897 N/m²
Hence 1897 N/m² is the correct answer.
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What is the acceleration of gravity on Venus?
Answer:
8.87 m/s^2
Explanation:
A car accelerates at 2 meters/s/s. Assuming the car starts from rest, how far will it travel in 10 s?.
Answer:
100 m
Explanation:
Δx = v₀t + 1/2at²
Δx = 0 + 1/2(2 m/s²)(10 s)² = 100 m
A crossbow (5.0kg) is sitting loaded with a bolt (m = 0.10kg) on a friction free table. The crossbow is triggered and the bolt (also called an arrow) is launched to the right with a speed of 25 m/s. The velocity of the crossbow as it recoils is _m/s
Answer:
The velocity of the crossbow as it recoils is 5 m/s. This can be calculated using the conservation of momentum. The momentum of the system before the bow was triggered is 0 (since the bow is stationary). After launching the bolt, the momentum of the system is (0.10 kg * 25 m/s), so in order for the momentum of the system to remain constant, the crossbow must recoil with a momentum of (5.0 kg * -5 m/s).
two point masses m and m are separated by a distance d. if the separation d remains fixed and the masses are increased to the values 3m and 3m respectively, how does the gravitational force between them change?
When the masses of two point masses increase while the distance between them remains constant, the gravitational force between them increases proportionally to the square of the increase in mass.
What is gravitational force?
Gravitational force is the force of attraction between two masses. It is one of the four fundamental forces of nature and is responsible for the motion of celestial bodies, such as planets and stars, as well as the behavior of objects on the surface of the Earth.
The force of gravity between two masses can be described by Newton's law of universal gravitation, which states that every particle in the universe attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
The formula for the gravitational force is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / d^2
where:
F is the gravitational force between two masses
G is the gravitational constant (G = 6.67 x 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
d is the distance between the centers of the two masses.
CalculationThe gravitational force between two point masses is given by the formula:
[tex]F = G * (m1 * m2) / d^2[/tex]
where G is the gravitational constant and m1 and m2 are the masses of the two objects.
If the masses of the two point masses are increased from m to 3m, then the new formula for the gravitational force becomes:
[tex]F' = G * (3m * 3m) / d^2 = 9 * (G * (m * m) / d^2)[/tex]
Thus, the gravitational force between the two point masses is increased by a factor of 9 when the masses are increased to 3m.
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What is 65 degrees fahrenheit to celsius ?
Answer:
18.333 degrees celsius
Explanation:
Correct me if im wrong
65 degrees Fahrenheit is equal to 18.33 degrees Celsius.
Celsius (°C) and Fahrenheit (°F) are two different temperature scales used to measure temperature. The Celsius scale is widely used in most countries around the world, while the Fahrenheit scale is primarily used in the United States and a few other countries.
To convert 65 degrees Fahrenheit to Celsius, the following formula is used:
°C = (°F - 32) × 5/9
°C = (65 - 32) × 5/9
°C = 33 × 5/9
°C = 165/9
°C = 18.33
Therefore, 65 degrees Fahrenheit is approximately equal to 18.33 degrees Celsius.
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What is the tendency of an object to resist a change in velocity called?
The tendency of an object to resist a change in velocity is called inertia. It is the resistance of an object to a change in its direction or speed of motion.
This property of matter is explained by Newton's First Law of Motion, which states that an object at rest or in motion will remain in that state unless an external force acts on it.
Inertia is the basis for the concept of momentum, which is the product of an object's mass and velocity.
When an object is in motion, it has momentum and is resistant to any change in its velocity. This is because it has inertia, which is the tendency of an object to resist a change in motion.
Inertia is an important concept in physics and is essential for understanding the motion of objects in the universe.
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When resonance occurs, there is a dramatic decrease in the
amplitude of a sound wave?
True
O False
The given statement that when resonance occurs, there is a dramatic decrease in the amplitude of a sound wave is false.
How does resonance affect the amplitude of a sound wave?Resonance happens when a sound wave's frequency coincides with an object's inherent frequency, increasing the sound wave's amplitude.
Standing waves may develop in the tube as a result of resonance, which amplifies the vibrations' amplitude. The resonant frequencies depend on how long the air column is. The resonating air column amplifies solely the natural frequencies, as opposed to the mouth or reed which produce a combination of diverse frequencies.
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Compared to visible radiation, does infrared radiation have longer or shorter wavelengths and higher or lower energy per photon?
Infrared radiation has longer wavelengths compared to visible radiation, and lower energy per photon.
What are infrared radiation?Infrared radiation (IR) is a type of electromagnetic radiation that is not visible to the human eye. It has a longer wavelength and lower frequency than visible light, and it is part of the electromagnetic spectrum that also includes radio waves, microwaves, visible light, ultraviolet radiation, X-rays, and gamma rays.
Infrared radiation is often associated with thermal radiation, which is the emission of electromagnetic waves from objects that are at a temperature above absolute zero. This is because infrared radiation is often emitted by objects that are warm, and it is this type of infrared radiation that is responsible for our ability to feel heat.
Infrared radiation has a wide range of applications, including in remote sensing, thermal imaging, and heating. For example, in remote sensing, infrared radiation can be used to observe and study the Earth and other celestial objects, as well as to detect and monitor changes in temperature, vegetation, and other physical properties. In thermal imaging, infrared cameras are used to detect heat signatures and create images based on temperature differences. In heating, infrared heaters use infrared radiation to heat objects and materials directly, rather than heating the air around them.
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The Supreme Court decision in Marbury v. Madison established which of these?
Answer:
The Supreme Court decision in Marbury v. Madison established the principle of judicial review. This means that the Supreme Court has the power to declare laws or actions of the executive and legislative branches unconstitutional if they violate the Constitution. The decision was made in 1803 and is considered a landmark case in American law and politics. It established the idea that the judiciary is a coequal branch of government and has the responsibility to interpret the Constitution and ensure that the other branches of government do not exceed their constitutional authority.
Explanation:
the volume of a gas held at constant temperature varies indirectly as the pressure of the gas. if the volume of a gas is 1200 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 300 millimeters of mercury?
When the pressure is 300 mmHg, the gas has an 800 cc volume.
Boyle's second law is what?According to this, a gas's volume drops as pressure on it rises at a constant temperature. In other words, while the temperature and the quantity of molecules are both constant, Boyle's law states that volume is inversely proportional to pressure.
The answer to the dilemma is that at constant temperature, the relationship between the gas's volume (V) and pressure (P) is inverse.
V ∝ 1/P
or
V = k/P
V = 1200 cc when P = 200 mmHg
These values are put into the formula above to get the following results:
1200 = k/200
k = 240000
V = 240000/300
V = 800 cc.
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What temperature is 17 degrees in Fahrenheit?
Answer:
62.6 degrees fahrenheit
What 3 conditions are necessary for a lunar or solar eclipse?
The three conditions necessary for a lunar or solar eclipse are as follows:
The alignment of the Sun, Earth, and Moon must be approximately in a straight line.Specific geometry: The alignment must occur at specific points in the Moon's orbit around the Earth. The apparent size of the Moon must be close to the apparent size of the Sun as seen from Earth.When one celestial body partially or entirely blocks out the light from another celestial body, the occurrence is known as an eclipse. Solar eclipses and lunar eclipses are the two primary categories of eclipses.
For a lunar eclipse, the Earth is positioned between the Sun and the Moon and the Moon must be on the other side of the Earth from the Sun during a full moon for the alignment to take place. For a solar eclipse, the Moon is positioned between the Sun and the Earth and the Moon must be between the Earth and the Sun during a new moon for the alignment to take place.
Therefore, The three conditions necessary for a lunar or solar eclipse are as follows:
The alignment of the Sun, Earth, and Moon must be approximately in a straight line.Specific geometry: The alignment must occur at specific points in the Moon's orbit around the Earth. The apparent size of the Moon must be close to the apparent size of the Sun as seen from Earth.To know more about eclipses, click here:
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the change of potential due to electrotonic spread will get larger the further away from the starting point it travels.a. true b. false
True - the change of potential due to electrotonic spread will get larger the further away from the starting point it travels.
Electrotonic spread is the process by which electrical signals are transmitted through a neuron. When a neuron is stimulated, an electrical charge is created and propagated along the neuron's axon.
This charge causes a change in the potential difference or voltage across the neuron's membrane, known as a local potential.
As the charge moves away from the starting point, the change in potential due to electrotonic spread increases.
This is because the charge dissipates as it moves away from the starting point, resulting in a larger voltage change.
The further away from the starting point the charge travels, the larger the change of potential due to electrotonic spread.
This process is essential for the transmission of electrical signals in the nervous system and allows neurons to communicate with each other.
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A cardiac defibrillator can be modeled as a parallel plate capacitor. When it is charged to a voltage of 2 kV, it has a stored energy of 1 kJ. What is the capacitance of the defibrillator?A2.5×10−4 FB5×10−4 FC2.5×10−1 FD5×10−1 FE1.0 F
A cardiac defibrillator can be modeled as a parallel plate capacitor, Capacitance of the defibrillator is 1 F. Hence, the correct option is (E).
The energy stored in a capacitor is given by the equation:
E = 1/2 * C * V^2
where E is the energy in joules, C is the capacitance in farads, and V is the voltage across the capacitor in volts.
We are given that the defibrillator has a stored energy of 1 kJ (1000 J) when charged to a voltage of 2 kV. Substituting these values into the equation, we get:
1000 J = 1/2 * C * (2 kV)^2
Simplifying this equation, we get:
C = 1000 J / (1/2 * (2 kV)^2) = 1 F
Therefore, the capacitance of the defibrillator is 1 F.
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If a battery of 9 V is connected across a parallel plate capacitor with plate separation of 2 mm, what is the magnitude of the electric field between its plate when it is fully charged? A.4500 V/mB.9000 V/mC.18 V/mD.18000 V/mE.0 V/m
The magnitude of the electric field between the plates of the capacitor when it is fully charged is 4500 V/m, which corresponds to option A.
How to calculated the magnitude of the electric field between the plates of a parallel plate capacitor?The magnitude of the electric field between the plates of a parallel plate capacitor can be calculated using the formula:
E = V/d
Where
E is the electric fieldV is the voltage across the capacitord is the distance between the platesIn this case, the voltage V is given as 9 V and the plate separation d is given as 2 mm (which can be converted to 0.002 m). Substituting these values into the formula, we get:
E = 9 V / 0.002 m
E = 4500 V/m
Therefore, the magnitude of the electric field between the plates of the capacitor when it is fully charged is 4500 V/m, which corresponds to option A.
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