Lever arm length and force applied perpendicular to a lever arm are multiplied to create torque. A scalar quantity called torque has two possible directions: clockwise and counterclockwise.
What is the force times the lever arm's product?A force applied perpendicular to a lever arm produces a torque, which is the result. The distance that runs perpendicularly from the pivot point, or the center of rotation, to the location where the force is delivered, is known as the lever arm or moment arm. A pivot point is always used to define a torque.
How do you multiply torque?Each gearing stage of a torque multiplier amplifies the torque applied to the bolt. For instance, a torque multiplier with a 5:1 ratio will produce an output at the shaft that is five times the torque, but because no energy can be produced, the speed will only be one fifth of the original.
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(ii) a large electroscope is made with "leaves" that are 78-cm-long wires with tiny 21-g spheres at the ends. When charged, nearly all the charge resides on the spheres. If the wires each make a 26° angle with the vertical (fig. 16–55), what total charge q must have been applied to the electroscope?
The electroscope must have received a total charge of 2.45 x q if the wires are each at a 26° angle with the vertical.
The electroscope is what?An electroscope is a scientific tool which is used to find the existence of an electric charge on a body. The first electroscope with a pivoting needle, known as a versorium, was created by British physician William Gilbert in the year 1600.
What are the many varieties of electroscope?An electroscope is a piece of equipment used in science to determine whether and how much electric charge is present on a body. There are three traditional electroscope types: the needle electroscope, the gold-leaf electroscope, and the pith-ball electroscope (third). For each of them, we have simulators available.
Briefing:Equilibrium condition = mgsin∅ = 2.45 x [tex]10^{-6}[/tex]
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Throw a paper ball towards a hard wall.
a) Did the wall apply force on the ball? If yes, then what is the name of the force?
b) What are the effects of the force applied by the wall
please help..!
also if possible could you give the explanation too....??
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever
would have been used with an effort arm of 12 meters and a load arm of 6 meters? (1 point)
O 100 J
0 72 J
O 50 J
O 600 J
Accounting for things like how many team members should be assigned to a task, how many resources are required, how many hours tasks will take and more.
Why is it necessary for the effort arm to be longer than the load arm?When the effort arm is longer than the load arm, there is a significant mechanical advantage.The lever is made up of two “arms”: The load arm (also known as the output arm) is the portion of the lever that is directly attached to the load. The effort arm (or applied force arm) is the section of the lever to which the effort, or input force, is applied.
A= W P = 1 , Where W represents the load and P represents the effort. So, if we utilize one fixed pulley to raise the weight, the effort required will be 50 k g w t in one direction.
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How would increasing the pressure of this reaction affect the equilibrium? 3H2 + N2 + 2NH3
Answer: (C) H2 and N2 would react to produce more Nh3
Explanation:
A p e x
Electricity travels in closed circuits, and its normal route is through a conductor. Electric shock occurs when:
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
What do you mean by "electric shock"?
Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit. This can happen when the person comes into contact with a live conductor, such as a wire carrying an electrical current, or when the person becomes part of the circuit, such as by touching both a live wire and a ground.
Electric shock can cause a range of symptoms depending on the severity and duration of the exposure, including muscle contractions, burns, internal injuries, and in severe cases, cardiac arrest or death. Electric shocks can also cause electrical burns which can be serious.
When a person comes into contact with a current, it can cause an electric shock, which can range in severity from a mild tingling sensation to severe injury or death. Factors that determine the severity of an electric shock include the amount of current flowing through the body, the duration of contact with the current, and the path the current takes through the body.
It is important to note that Electric shock can be prevented by following safety guidelines and by using proper safety equipment when working with electrical equipment and circuits.
Hence, Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.
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How far up a wall will a 25 ft ladder reach if the base of the ladder is 7 feet from the wall?
The height formed by this 25-foot ladder that leans against a wall is 24 feet.
To find out how far up a wall a ladder will reach, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder forms one side of the triangle, the wall forms another side, and the distance between the base of the ladder and the wall forms the hypotenuse.
Let's call the height of the wall h. Using the Pythagorean theorem, we can set up the following equation:
(25 ft)^2 = h^2 + (7 ft)^2
625 = h^2 + 49
576 = h^2
h = sqrt(576) = 24 ft
Therefore, a 25 ft ladder that is 7 feet from the wall will reach 24 feet up the wall.
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A meter‑long wire of mass 185 g is attached to a 60. 0 Hz mechanical wave oscillator operating at 139 W. The far end of the wire is strung over a frictionless, massless pulley, and a 306 g mass is hung from it. When the oscillator is turned on, it produces a sinusoidal wave in the wire. Calculate the amplitude of oscillation of the wire. Use the value 9. 81 m/s2 for the acceleration due to gravity
The tension in the wire is 2.99986 N. The amplitude of the oscillation of the wire is approximately 0.01067 meters.
The tension (T) can be calculated using the equation:
T = m × g
T = 0.306 × 9.81
T = 2.99986 N
The linear mass density (μ) of the wire is given by the mass per unit length of the wire. It is calculated as:
μ = m(wire) ÷ L(wire)
μ = 0.185 ÷ 1
μ = 0.185 kg/m
The speed (v) of the wave on the wire can be determined using the equation:
v = √(T ÷ μ)
v = √(2.99986 ÷ 0.185 )
v = 7.351 m/s
The power (P) transmitted by the wave is related to the amplitude (A) and the speed (v) of the wave through the equation:
P = 2π² × μ × v × A² × f²
A² = P ÷ (2π² × μ × v × f²)
A² = 139 ÷ (2π² × 0.185 × 7.351 × (60.0)²)
A² = 1.138 × 10⁻⁴
A = √(1.138 × 10⁻⁴)
A = 0.01067 m
Therefore, The amplitude of the oscillation of the wire is approximately 0.01067 meters.
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The distance from the acoustic center of the source to the point at which the intensity of the direct sound equals that of the reverberant field describes
Critical distance is defined as the distance between the acoustic center of the source and the point at which the intensity of the direct sound equals that of the reverberant field.
The distance from a sound source when the direct energy (energy radiated straight from the source) equals the reverberant energy (radiated from walls, floor, and ceiling) is called critical distance. It can be said as the critical distance is the distance between the microphone and the sound source at which the level of room reverberation is equal to the level of the direct sound. Critical distance is considered an important factor in positioning loudspeakers and microphones.
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What are the similarities and differences between static stretching and dynamic stretching?
The similarities and differences between static stretching and dynamic stretching are the dynamic stretch is a style of stretching that is more strenuous and physically stimulating, while the static stretch is a form of stretching that is slower and more relaxing.
Another difference between static and dynamic stretching is that after a dynamic stretch, you may feel stronger and have more muscle endurance and speed, whereas static stretching before an exercise diminishes these same qualities; To get the most out of your workout, perform dynamic stretching before you begin, and static stretching afterward. Static and dynamic stretching have similar benefits in lowering the risk of injury by increasing flexibility, balance, and body awareness.
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A person weighing 500 N and a girl weighing 350 N are sitting on a board. The 50N- board is uniform and is supported at the center. The 500-N person is 1.5 m from the center, how far from the center should the girl sit so that the board is in equilibrium
The girl should sit 2.14 m from the center to keep the board in equilibrium.
What is equilibrium?
Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.
In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.
To find the distance from the center that the girl should sit, we can set up the following equation:
F_net = 0 = (500 N)(1.5 m) - (350 N)(x)
where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.
Solving this equation for x:
x = (500 N)(1.5 m) / 350 N = 2.14 m
Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.
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How does dynamic stretching help an individual prepare for an activity brainly?
Dynamic stretching helps to prepare the body for an activity by increasing:
body temperatureimproving range of motionactivating the muscles and nervous system for the activity. also helps to reduce the risk of injury by improving the body's ability to move through a full range of motion.improving coordination and balance.What is dynamic stretching?Dynamic stretching is a form of stretching that involves active, controlled movements such as swinging, bouncing, and twisting. The goal of dynamic stretching is to improve range of motion and flexibility while preparing the body for physical activity.
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Stephen has to drive 8 miles south and 3 miles east to get to work.What is his distance and displacement?
Since the displacement is a vector quantity, the distance is 11 miles while displacement is 8.5 miles
What is Displacement ?Displacement is a distance travelled in a specific direction. Distance is a scalar quantity while displacement is a vector quantity.
Given that Stephen has to drive 8 miles south and 3 miles east to get to work.
His distance will be 8 miles + 3 miles = 11 miles
While his displacement can be calculated by using Pythagoras theorem. That is,
Displacement D = √(8² + 3²)
D = √(64 + 9)
D = √73
D = 8.5 miles
Therefore, his distance is 11 miles and his displacement is 8.5 miles.
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You toss a ball at 30 m/s straight upwards. How much time will take the ball to reach the top of its path?
Answer:
Explanation:
One thing we need to remember is that at the max height of parabolic motion, the velocity is 0 (because the object has to stop for a millisecond in the air to turn around and head back down). Use the one-dimensional motion equation
v = v₀ + at and filling in:
0 = 30 + (-9.8)(t) and
-30 = -9.8t so
t = 3 seconds
Can someone help me with this please
Answer:
1. 2HCl + MgO —-> MgCl2 + H2O
Explanation: You add a 2 in front of the HCl in order to have 2 hydrogens on each side and 2 Cl on each side. Since, Magnesium only has one on each side, they’re already balanced. Same with Oxygen so you leave it alone.
If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1,470 m/s, what is the wavelength of the soun
According to the equation wavelength = speed/frequency, the dolphin's sound has a 42 m wavelength.
What does wavelength mean?The distance between two identification based (consecutive crests) in adjoining cycles of a waveform signal as it travels across space or along wire is known as its wavelength. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimeters (mm). The numbers of times per second that a sound waves wave repeats is its frequency, which is often referred to as its pitch.
Given data -
speed = 1,470 m/s
frequency = 35 Hz
wavelength = speed / frequency
wavelength = 1,470 / 35
wavelength = 42 m.
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Two unequal masses are dropped simultaneously from the same height. The two masses will experience the same change in
(A) acceleration
(B) kinetic energy
(C) potential energy
(D) velocity
When two unequal masses are dropped simultaneously from the same height, then both masses will experience the same change in D: velocity.
Velocity is the prime indicator of the position and the rapidity of the object. It can be described as the distance covered by an object in a unit of time. It means that velocity is the displacement of the object in unit time. When in the case where two objects with unequal masses are dropped simultaneously from the same height, both masses will attain the same change in velocity.
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Calculate the wavelength, in meters, of electromagnetic radiation needed to remove an electron from the valence shell of an atom of the element.
The wavelength of the electromagnetic radiation needed to remove an electron from the valence shell of an atom of the element is 2.7522m.
The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR). It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all components of the electromagnetic spectrum.
We are given that,
Speed of light = c = 299 792 458 m
The frequency of electron = f = 1.09 × 10⁸ s⁻¹
The following equation can be used to determine the wavelength of a radio wave
Wavelength = λ = c/f
λ = c/f
λ = 299 792 458 m/s/ 1.09 × 10⁸ s⁻¹
λ = 2.7522m
Therefore the wavelength of the electromagnetic radiation would be 2.7522m.
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New ecosystems have been created by human land use.
Answer:
Yes
Explanation:
When humans use land, they change it to accommodate their own needs, and thus new locations and new habitats for other organisms are created. These organisms can now live there and create new organisms, and thus create new ecosystems as a result of human use of that particular piece of land.
Which of the following is an example of mechanical waves?
Microwaves
Sound waves
Light waves
Radio waves
Describe what you could do to make the magnetic disk rotate faster
You could do to make the magnetic disk rotate faster: regular usage of a disc defragmentation program.
What is magnetic disk?A magnetic disk is a storage device that writes, rewrites, and accesses data using the magnetization process. It has a magnetic layer that retains data as tracks, spots, and sectors.
You could do to make the magnetic disk rotate faster:
Plan regular usage of a disc defragmentation program.Try to keep at least 20% of your disc space free, if you can. Defragmentation is facilitated and fragmentation is reduced as a result. Utilize a program like Crystal DiskInfo to regularly check the condition of your drive.Learn more about magnetic disk here:
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__________________________ are made of rock or metal, which often collide with Earth
Answer:
Planets are bodies of rock or gas that are named after ancient gods.
Asteroids and Meteoroids are made of rock or metal, which often collide with Earth.
The terrestrial planets are more like the Earth.
The Juno spacecraft is exploring the planet Jupiter.
Explanation:
The planets and other stars in our solar system were similarly baptized. The planets were named after ancient gods. Other stars were baptized with names chosen by scientists or according to their peculiarity. Most of the planets were baptized by ancient Chinese astronomers, and later, by Babylonians. But over time different civilizations changed the names of the planets.
An asteroid is a smaller body in the solar system, usually on the order of just a few hundred kilometers. Meteoroids, in turn, are fragments of rocks that form from comets and asteroids. The luminous effect is produced when fragments of celestial bodies ignite in contact with the Earth's atmosphere due to friction. Both asteroids and meteoroids are made of rock or metal, which often collide with Earth.
The terrestrial planets are the most similar to the earth. These planets are those formed mainly by rocks and metals, have a solid surface without the incidence of rings, as is the case with Mercury, Venus and Mars.
The Juno spacecraft is exploring the planet Jupiter. This probe has already given us several unprecedented discoveries about the largest gas giant in the Solar System, in addition to sending us sensational images showing the complex and beautiful atmosphere of the planet.
The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . How many revolutions does each tire make before the car comes to a stop, assuming that the car does not skid and that the tires have radii of 0.37 m
The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . The car makes 139 revolutions.
A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Acceleration in the direction crosswise to the direction of the velocity is always referred to as deceleration. Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system.
Given:
v₀ = 30 m/s
v = 0 m/s
a = -1.4 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)
² = (30 m/s)
² + 2 (-1.4 m/s²) Δx
Δx = 321.43 m
The tires' circumference is 2 m plus 0.37 m, or 2.32 m. Therefore:
139 rev = 321.43 m (1 rev / 2.32 m)
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3 positive test charge lie on the x axis,q1=25microcoloum,is at the origin ,q2=10microcoloumb is at x=2m and q3=20microcloumb is at x=3m.find the resultant force on q3?
Answer:
the link is right here
ok
Find the interaction energy for two point charges, q1 and q2, a distance a apart. [Hint: Put q1 at the origin and q2 on the z axis; use spherical coordinates, and do the r integral first.]
The interaction energy for two point charges, q₁ and q₂, a distance 'a' apart is q₁q₂/4πε₀a.
In physics, interaction energy is the contribution to the total energy that is caused by an interaction between the objects being evaluated. The interaction energy generally depends on the relative position of the objects.
For example q₁q₂/4πε₀Δr is the electrostatic interaction energy between two objects with charges q₁ and q₂.
[tex]W_{tot}[/tex] = ε₀/2(∫E²dτ)
= ε₀/2{(∫E₁ + E₂)²dτ}
= ε₀/2(∫E₁² + E₂² + 2E₁E₂)dτ
= W₁ + W₂ + ε₀(∫E₁ × E₂)²dτ
E₁ = 1/4πε₀(q₁/r²)r
E₂ = 1/4πε₀(q₂/ᴫ²)ᴫ
[tex]W_{i}[/tex] = ε₀q₁q₂/(4πε₀)²[∫{(1/r²ᴫ²)cosβr²sinθdrdθdφ}]
Where (from the figure)
ᴫ = √(r² + a² - 2ra cosθ), cosβ = (r - a cosθ)/ᴫ
Therefore
[tex]W_{i}[/tex] = {q₁q₂/(4π)²ε₀} 2π∫{(r - acosθ)/ᴫ³} sinθ drdθ
First do the r integral first, changing variables to ᴫ:
2ᴫdᴫ = (2r - 2a cosθ)
⇒(r - a cosθ)dr = ᴫdᴫ
As r : 0→∞, ᴫ : a→∞, so
[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex](∫limit 0 to ∞ 1/ᴫ² dᴫ) sinθ dθ
The ᴫ integral is 1/a, so
[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex] sinθ dθ
[tex]W_{i}[/tex] = q₁q₂/4πε₀a
This is the exact interaction energy of two-point charges.
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which is an example of interdependence between species?
A. Sea turtles lay their eggs in the sand
B. Animals eat seeds, then those seeds are spread by animals
C. Trees make carbohydrates from solar energy
D. Polar bears eat seals on ice floes
Animals eat seeds, then those seeds are spread by animals.
In interdependence if the population of an organism rises and falls, then they can affect the rest of the ecosystem.Here plants are dependent on animals for depression of seeds and animals are dependent on plants for foodWhat is interdependence?Interdependence means dependence of living beings on each other for their survival.All organisms from tiny microbes to huge predators, depend upon each other to obtain energy and other basic resources.To know more on interdependence here
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An unbalanced force of 20 N is applied to a 4.0 kg mass at rest. What is the
acceleration of the object?
Answer:
5 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass
We have
[tex]a = \frac{20}{4} = 5 \\ [/tex]
We have the final answer as
5 m/s²Hope this helps you
Determine the quantity of charge on a plastic tube which has been rubbed with animal fur and gained 3. 8 x 10^9 electrons
The quantity of charge on a plastic tube that has been rubbed with animal fur and gained 3. 8 x 10^9 electrons is The quantity of charge on the plastic tube is 3.8 x 10^9 electrons.
The quantity of charge on the plastic tube is 3.8 x 10^9 electrons. To calculate this value, we can use the equation q = n*e, where q is the charge, n is the number of electrons and e is the elementary charge (1.6 x 10^-19 C). Substituting in the values given, we get q = 3.8 x 10^9 * 1.6 x 10^-19 = 6.08 x 10^-10 C. This means that the plastic tube has gained a charge of 6.08 x 10^-10 Coulombs, which is equivalent to 3.8 x 10^9 electrons.
This can be explained by the process of triboelectricity, which is the transfer of electrons between two materials due to rubbing them together. In this case, the animal fur must have had a higher electron affinity than the plastic, which caused electrons to be transferred from the fur to the plastic tube.
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A soccer ball is moving with a momentum of 5 kg m/s when a soccer player
kicks the ball back in the opposite direction. After the kick, the soccer ball
is moving with a momentum of 7 kg m/s. What is the impulse the soccer
player applied to the soccer ball?
The impulse applied to the soccer ball by the soccer player is the combined force and time of the kick applied to the ball.
What do you mean by Impulse?
Impulse is an instantaneous force applied to an object, resulting in a change in the object's momentum. It is a vector quantity, which means that it has both magnitude and direction. Impulse is the product of a force applied to an object for a certain period of time. It is calculated as the product of the average force applied multiplied by the time period over which the force is applied. For example, when a ball is hit with a bat, the force of the bat is applied to the ball for a certain amount of time, resulting in an impulse which causes the ball to move.
1. Calculate the change in momentum of the soccer ball:
Change in momentum = Final Momentum - Initial Momentum
= 7 kg m/s - 5 kg m/s
= 2 kg m/s
2. Calculate the impulse:
Impulse = Change in Momentum
= 2 kg m/s
Therefore, the impulse applied by the soccer player to the soccer ball is 2 kg m/s.
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Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race
Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).
Converting the time to seconds, we get 449.45 seconds.
Therefore,
3000 / 449.45 = 12.089 m/s.
This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.
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G Two tiny particles having charges +20. 0 μC and -8. 00 μC are separated by a distance of 20. 0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4πε0 = 9. 0 × 109 N ∙ m2/C2)(calculate separately electric field due to each charge at that point, next taking into account direction of each field find net electric field)
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
The magnitude of the electric field due to the positive charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)
E = 4.5 x 10^9 N/C
The magnitude of the electric field due to the negative charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)
E = -1.8 x 10^9 N/C
The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.
To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.
E_net = E_positive + E_negative
E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)
E_net = 2.7 x 10^9 N/C
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
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