Answers
Thus the electric field at the fourth corner of the square of side L is E4 = kQ.[2/a² + 1/a√2].
What is Electric field strength?Electric field strength is a quantitative expression of the intensity of an electric field in an electric circuit at a particular location and time. The standard unit of the electric field strength is the volt per meter (V/m or V·m⁻¹). An electric field strength of 1 V/m represents a potential difference of about 1V between the two points which are separated by 1 meter distance.
We are given that:
Number of point charges = 3
Here, we shall use the superposition principle to calculate the net electric field at the fourth point, so
E4 = E1 + E2 + E3
E4 = kQ/a² + kQ/√(2a²) + kQ/a²
E4 = kQ [1/a² + 1/√(2a²) + 1/a²]
E4 = kQ [2/a² + 1/a√2]Thus the electric field at the fourth corner is E4 = kQ [2/a² + 1/a√2].
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Related Questions
Based on the image shown, write the number that corresponds to the term or phrase. Assume that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3.
Anode:
3
Cathode:
Electrolytes:
1
Salt bridge:
5
Electrode where oxidation occurs:
4
The reaction that takes place in this cell is
✔ spontaneous
.
Answers
Based on the image shown, the numbers that correspond to the term or phrase assuming that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3 are:
Anode: 3Cathode: 1Salt bridge: 4Electrolytes: 5Electrode where oxidation occurs: anodeThe reaction that takes place in this cell is spontaneousWhat are electrochemical cells?Electrochemical cells are cells that convert chemical energy to electrical energy.
The components of an electrochemical cell are:
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a defender running away from a goalkeeper at 5m/s is hit in the back by the goal kick. the ball stops dead and the players speed increases to 5.5m/s if the ball had a mass of 500g and the player mass is 70k how fast was the ball moving?
Answers
The goal kick strikes a defender racing at 5 m/s away from a goalkeeper in the back. The ball was moving at a speed of 70 m/s if it weighed 500g and the player's mass was 70k.
Why does the goalie in a football game pull his hands back after holding the ball that has been shot towards the goal?The goalkeeper extends the amount of time he has to hold the ball by pulling his hands back. He lessens the force (rate of change of momentum) the football exerts on him by lengthening the time.
Write the formula for momentum and define it.A vector quantity, momentum. A body's momentum is equal to P=m.v if it is travelling at a speed of v while having mass m. P=mv describes the magnitude of the momentum. Because momentum is a function of mass and velocity, its unit is the product of those two quantities.
By using conservation of momentum,
Initial momentum = Final momentum
(5 x 70) + (v x 0.5) = (5.5 x 70) + (0 x 0.5)
350 + 0.5v = 385 + 0
0.5v = 35
v = 70 m/s
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just give me the right answer!
If the distance between two objects decreased, what would happen to the force of gravity between them?
It would increase.
It would stay the same.
It would depend on the speed.
It would decrease.
Answers
It would increase................
Please help me thank you
Answers
The gravitational potential energy of a body is determined by the equation U=mgh, where m is the body's mass, g is its gravitational force, and h is its height. The relationship between mechanical energy and gravitational potential energy is described by the equation E=U+K.
What is the kinetic energy equation?KE= 1/2 m v2
The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.
We compute kinetic energy because...It provides information on how a substance's mass impacts its velocities. Take this as a case study. A lorry and a sleek vehicle powered by the same engine cannot go at the same pace because to their different designs.
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A brick is thrown upward from the top of a building at an angle of 10° to the horizontal and with an initial speed of 15 m/s. If the brick is in flight for 2.9 s, how tall is the building? any help would be greatly appreciated
Answers
The total height of the building from which the brick is thrown is 33.60 meters.
What is Speed?
Speed is the rate of change of position of an object in any direction with respect to time. Speed is measured as the ratio of distance to the time in which the distance was covered. The SI unit of speed is m/s (meter per second).
The time of flight of the object from the building is:
t = 2μ sinθ/ g
t = 2 × 15 × sin10/ 9.8
t = 30 × 0.175/ 9.8
t = 0.535 seconds
Total time to cover the distance = 2.9 seconds
Total time = 2.9 - 0.535
Total time = 2.365
μg = μ sinθ
h = 15 × sin10 × 2.365 + 1/2 × 9.8 × (2.365)²
h = 2.625 × 2.365 + 1/2 × 9.8 × (2.365)²
h = 6.20 + 4.9 × 5.59
h = 6.20 + 27.40
h = 33.60 meters
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Ways to calculate an “average” include _____
Answers
Answer:
Adding together and dividing by how many terms you added
Explanation:
*NOTE* The answers in this question are
NOT realistic. Don't second guess yourself!
A pitcher claims he can throw a 0.151 kg
baseball with as much momentum as a 3.22 g bullet moving with a speed of 1.90312 x
10° m/s.
What must be its speed if the pitcher's claim is valid?
Answer in units of m/s. Answer in units of ms.
004 (part 2 of 3) 1.0 points
What is the kinetic energy of the bullet?
Answer in units of J. Answer in units of J.
005 (part 3 of 3) 1.0 points
What is the kinetic energy of the ball?
Answer in units of J. Answer in units of J
Answers
Answer: It is not clear what is the power of 10 in the speed of the bullet but here is a general procedure for the question.
Explanation:
[tex]P_{bullet}=(3.22*10^{-3}kg)*(10^{?}m/s)\\P_{baseball}=P_{bullet}\\[/tex]
Therefore we can write:
[tex](0.151*10^{-3} kg)*v_{baseball}=(3.22*10^{-3}kg)*(10^{?}m/s)[/tex]
From this using the relationship:
[tex]v_{baseball}=\frac{(3.22*10^{-3}kg)*(10^?m/s)}{0.151*10^{-3}kg}[/tex]
I cannot give a precise answer since power of then for speed of the bullet is not clear. But using the above equation you can reach the answer. General form of the equation is therefore:
[tex]v_{baseball}=\frac{P_{bullet}}{m_{baseball}}[/tex]
Where m is the mass of the ball which is 0.151 g.
three way to calculate average are
Answers
mean is most commonly used.
to get the mean value, you add up all the values and divide this total by the number of values.
example: what is the average of the values 8, 5, and 6
8+5+6 = 19
19/3 = 6.3
6.3 is your average
a stage light uses a white lamp wgat color of light will be seen when
a yellow filter is used
an orange filter is used
Answers
Answer:
Explanation:
When a yellow filter is used, the stage light will appear yellow because the filter absorbs all colors of light except for yellow, which it allows through. When an orange filter is used, the stage light will appear orange for the same reason.
It is important to note that the color of the lamp itself will not change, but the light that is seen by the observer will appear to be the color of the filter due to the absorption and transmission properties of the filte
What is the meaning of the density of states function?
Answers
Ans-The density of states function describes the number of states that are available in a system and is essential for determining the carrier concentrations and energy distributions of carriers within a semiconductor.
Answer:
density equal to mass upon volume
simple definition
acceleration to move 650N with mass of 100 kg
Answers
In this case, the force is 650 N and the mass is 100 kg, so the acceleration would be:
acceleration = 650 N / 100 kg
= 6.5 m/s^2
This means that if a force of 650 N is applied to an object with a mass of 100 kg, the acceleration of the object will be 6.5 m/s^2.
A doctor who is monitoring the health of astronauts in space has just received a signal that indicates one of
the astronauts may be experiencing low blood sugar. The mission control personnel that would communicate
this to the astronaut on board the space craft is CAPCOM.
True
False
Answers
The statement that a doctor who is monitoring the health of astronauts in space has just received a signal that indicates one of the astronauts may be experiencing low blood sugar. The mission control personnel that would communicate this to the astronaut on board the space craft is CAPCOM is true. So the correct option is A.
What is CAPCOM?When there is a mission in which astronauts do space exploration, there will be mission control on the ground made up of members who will take over from the astronauts on earth, this will be the CAPCOM. These people will transmit the decision-making of the mission director who will be from the ground and will also communicate the needs of the astronauts to the people who control the mission.
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the air in a kitchen has pressure 1.0 x 10^5 Pa and temperature 22C. A refrigerator of internal volume 0.36 m^3 is installed in the kitchen. with the door open the air in the refrigerator is initially at the same temperature and pressure as the air in the kitchen. calculate the number of molecules of air in the refrigerator
Answers
You can answer this question using the equation PV = nkT, with the Boltzmann constant. This equation should come to mind since they listed every variable in the equation except for n, which is used to calculate the number of molecules!
Also note that temperature should be in Kelvin, so we should do a quick conversion!
K = 273 + C
K = 273 + 22
K = 295
Now we can plug and chug!
[tex]PV=nRT\\(1.0*10^5)(0.36)=n(1.38 * 10^{-23})(295)\\n=\frac{(1.0*10^5)(0.36)}{(1.38 * 10^{-23})(295)}\\n=8.84*10^{24}[/tex]
Therefore, there are 8.84E24 molecules of air in the refrigerator!
The number of molecules of air in the refrigerator is 14.67.
Given:
P = 1.0 x 10⁵ Pa
V = 0.36 m³
R = 8.314 J/(mol·K)
T = 295.15 K
To calculate the number of molecules of air in the refrigerator, the ideal gas law can be used, which states: PV = nRT
where:
P = pressure of the gas
V = volume of the gas
n = number of moles of gas
R = ideal gas constant
T = temperature of the gas
First, let's convert the temperature from Celsius to Kelvin:
T = 22°C + 273.15 = 295.15 K
Now, rearrange the ideal gas law equation to solve for the number of moles (n) of gas:
n = PV / RT
Substituting in the values:
[tex]n = \frac{1.0 \times 10^5 \times 0.36}{8.314 \times 295.15}\\[/tex]
n = 0.0001467 × 10⁵
n = 14.67
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Explained Kepler's laws, satellites motion and weightlessness
Answers
1- The first law, also known as the law of elliptical orbits, states that the orbit of a planet around the Sun is an ellipse, with the Sun at one of the two foci. This means that the distance between the planet and the Sun varies as the planet moves in its orbit.
2- The second law, also known as the law of equal areas, states that the line connecting the planet to the Sun sweeps out equal areas in equal amounts of time. This means that the planet moves faster when it is closer to the Sun and slower when it is farther away.
3- The third law, also known as the law of harmonic motion, states that the square of the period of a planet's orbit is proportional to the cube of its average distance from the Sun. This means that the farther a planet is from the Sun, the longer it takes to complete one orbit.
A satellite is an object that orbits around a planet or other celestial body. The motion of a satellite is determined by the gravitational force of the planet or body it is orbiting. The satellite is constantly falling towards the planet due to gravity, but it is also moving horizontally, which keeps it from crashing into the surface. This combination of falling and horizontal motion is what creates the orbit.
Weightlessness, also known as zero gravity, is the state of being weightless or having very little weight. It is experienced by objects in orbit around a celestial body, such as a planet or moon. In this environment, objects do not experience the normal force of gravity that they would on the surface of the body. This can create the sensation of weightlessness for objects and humans inside a spacecraft or on a space station. Weightlessness can also occur in other situations, such as during freefall or in an aircraft following a parabolic trajectory.
Hi can anyone please help me with this question? i just cant seem to do it.. Thanksss
Newtons Universal Gravitational Law.
Bill gates a billionaire and space-X CEO, send Robin, 65kg, to planet Gidz. Gidz has a very weak gravitational attraction, of 1.56 N/Kg. Planet GIdz has a radius of 6.35 x 10^11 m.
i. determine the mass of planet Gidz.
Answers
Answer:
F = G M m / R^2 = m a
G M / R^2 = a
M = a R^2 / G
M = 1.56 N/kg * 6.35 m^2 / 6.67E10-11 N-m^2 / kg^2
M = 1.56 * 6.35 / 6.67E-11 kg
M = 1.49 * 10^11 kg
A barefoot field-goal kicker imparts a speed of 22 m/s to a football initially at rest. If the football has a mass of 0.42 kg and the time of contact with the ball is 0.023 s, what is the magnitude of the force exerted by the ball on the kicker’s foot? Answer in units of N
Answers
Explanation:
Mass of the football = 0.49 kg
Initial velocity of the ball ,u= 0 m/s
Final velocity of the ball ,v= 44 m/s
time of contact ,t = 0.028 seconds
First law of motion:
v=u+at
44 m/s=0+a\times 0.028 sec44m/s=0+a×0.028sec
a=1,571.42 m/s^2a=1,571.42m/s
2
force=mass\times acceleration=0.49 kg\times 1,571.42 m/s^2=769.99Nforce=mass×acceleration=0.49kg×1,571.42m/s
2
=769.99N
The magnitude of the force exerted by the ball on the kicker's foot is of 769.99 Newtons.
Which of the following is NOT a scientific hypothesis?
A. Neon atoms emit red light.
B. There is an attractive force between the earth and moon.
C. Halle Berry is attractive.
D. Summer days are hottest
E. The sky is blue.
Answers
The following statement is not a scientific hypothesis:
C. Halle Berry is attractive.
A scientific hypothesis is a proposed explanation for an observation or pattern in nature that can be tested through further investigation and experimentation. It should be testable, falsifiable, and based on evidence.
Neon atoms emit red light. This is a scientific hypothesis that can be tested and confirmed by looking at the spectrum of light emitted by neon atoms.
B. There is an attractive force between the earth and moon. This is a scientific hypothesis that can be tested and confirmed by measuring the force of gravity between the earth and moon.
D. Summer days are the hottest of the year. This is a scientific hypothesis that can be tested and confirmed by collecting temperature data during the summer months.
E. The sky is blue. This is a scientific hypothesis that can be tested and confirmed by observing the sky under different atmospheric conditions.
The statement "Halle Berry is attractive" is a subjective opinion that cannot be tested or confirmed through scientific investigation, hence it is not a scientific hypothesis. Attractiveness, as a concept, can vary widely based on personal, cultural, and social factors.
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As a warehouse worker pushes a crate across a concrete floor, the force he
applies is not perfectly horizontal, as shown in the image below. If the
coefficient of kinetic friction between the crate and concrete floor is 0.5, what
is the net force on the crate?
Pushing Force
350 N
Weight
460 N
OA. 95 N
OB. 115 N
O C. 130 N
OD. 145 N
10⁰
-Friction Force
2
Answers
The crate will be under a net force of 95 N. Resolving the force in the x-direction yields the net force on the crate: F = 300 cos 10° - N F= 295.44-196.45, F= 95.
How do you calculate the frictional force?The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.
What are the friction laws?The friction of a moving item is inversely proportional to the normal force and runs perpendicular to it. The type of surface the thing comes into touch with determines the amount of friction it experiences. As long as there is a point of contact, friction does not depend on the area of contact.
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Anna litic and Noah formula how place a 1.50 kg brick on a wooden board and incline the board at 34.4* above the horziontal. The coefficient of friction between the brick and the board is 0.350. determine the force of gravity, parallel component of gravity and the perpendicular component of gravity. Please also find net force and acceleration
Answers
The force due to gravity here is 14.7 N. The net force acting on the brick is 9.5 N and the acceleration of the brick is then 6.3 m/s².
What is frictional force?Friction is a resistive force which opposes the motion of an object. The product of normal force by gravity and frictional coefficient gives the frictional force.
Given that, mass = 1.50 Kg
force by gravity = mg = 1.50 × 9.8 m/s² = 14.7 N
parallel component = 14.7 cos 34.4 = 12.12 N
perpendicular component = 14.7 sin 34.4 = 8.30 N
The frictional force = mg × coefficient of friction
= 14.7 × 0.35 = 5.14 N
then net force = 14.7 - 5.14 = 9.5 N
Acceleration of the brick = net force/mass
a = 9.5 N/1.50 Kg = 6.30 m/s²
Hence, acceleration on the brick is 6.30 m/s².
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The figure(Figure 1) is a graph of Ex. The potential at the origin is -180 V . What is the potential at x=3.0m?
Answers
The electric potential at x=3.0m is - 180 Volt according to the figure 1.
What is electric field?An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. Additionally, it refers to a system of charged particles' physical field.
Electric charges and time-varying electric currents are the building blocks of electric fields.
The electric potential at x=3.0m is given by = initial potential energy + electric field× distance
= - 180 Volt + 0 Volt/meter×3 meter
= - 180 Volt.
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Two equally charged pith ball are 3cm apart in air and repel each other with a force of 4X105N - Comput the charge on each bali-
Answers
TheThe charge applied on each ball is 2 X 10∧-9 C.
Define force ?
An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The pitch balls repent each other with force
F= 4 X 10^-5N
Let the charge on each ball be Q.
4 X 10^-5= k(Q)(Q) / (3 X 10^-2)^2
Q^2= 4*10^-5X 9*10^-4 / 9*10^9
Q^2 = 4 X 10^-18
Q= √4 X 10^-18
Q = 2 X 10^-9 C.
Therefore, the charge on each ball is 2X10^-9C.
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Each ball has been charged with 2 X 10⁹ C. When a product is held in electrostatic energy, its properties referred to as electric discharge allows it to feel force.
What is force?A force can compel a heavily armored item to increase or modify overall velocity. A push or a pull is a simple and effective method to explain force. That's because a force has both magnitude and direction it is a dimensionless number.
The pitch balls repent each other with force
F = 4 X 10⁻⁵N
4 X 10⁻⁵ = k(Q)(Q) / (3 X 10⁻²)²
⇒ Q² = 4 × 10⁻⁵ X 9 × 10⁻⁴ / 9 × 10⁹
⇒ Q² = 4 X 10⁻¹⁸
⇒ Q = √4 X 10⁻¹⁸
⇒ Q = 2 X 10⁻⁹ C.
Therefore, the charge on each ball is 2 X 10⁻⁹C.
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A 68.2 kg high jumper leaves the ground with a vertical velocity of 8 m/s. How high can he jump? The acceleration of gravity is 9.8 m/s². Answer in units of m.
Answers
A satellite’s speed is
5,000 m/s. After 1 min, it is 10,000 m/s.
What is the satellite’s acceleration?
Answers
Acceleration = (change in speed) / (time for the change)
Change in speed = (10,000 m/s) - (5,000 m/s)
Change in speed = 5,000 m/s
Time for the change = 1 minute
Time for the change = 60 sec
Acceleration = (5,000 m/s) / (60 s)
Acceleration = 83-1/3 m/s²
Which ideas did you include in your answer? Check all that apply.
Scientists use relative and absolute dating to determine age of rocks.
Scientists can organize the rocks layers based on their age on the geologic time scale.
The type of rocks and the fossils in the rock layers tell scientists about Earth’s history.
Answers
By contrasting a fossil with related rocks and fossils of known ages, relative dating can estimate the fossil's age.
By utilising radiometric dating to track the isotope decay inside the fossil or, more frequently, the rocks it is linked with, absolute dating may pinpoint an object's exact age.
What are the benefits of using relative and absolute dating of rocks?It is possible to identify whether one artefact, fossil, or stratigraphic layer is older than another using relative dating, which does not provide particular dates.
Absolute dating techniques offer more precise dates and times of origin, such as a range in age in years.
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Gravity on earth is 9.8
Jaydens mass is 50 kilograms his weight is
Answers
In this case, the mass of the object is 50 kilograms and the acceleration due to gravity on Earth is 9.8 m/s^2. Plugging these values into the formula, we get:
weight = 50 kg * 9.8 m/s^2
= 490 N
Therefore, the weight of Jayden, who has a mass of 50 kilograms, is 490 Newtons.
Which variable can be measured with a weighing balance?
Answers
Answer:
ratio variables
Ratio scale of measurement
Weight, height and distance are all examples of ratio variables. Data in the ratio scale can be added, subtracted, divided and multiplied. Ratio scales also differ from interval scales in that the scale has a 'true zero'. The number zero means that the data has no value point
What conditions determine which process occurs in a cell?
Answers
The conditions that determine which process occurs in a cell are largely based on the environment and the needs of the cell.
What is cell?A cell is the basic unit of life. It is the smallest unit of an organism that is capable of independent functioning. Cells are composed of a variety of molecules, including proteins, lipids, carbohydrates, and nucleic acids. Cells are able to carry out functions such as energy production, metabolism, growth and division, movement, and communication.
These conditions include the availability of nutrients, the presence or absence of specific signaling molecules, the amount of oxygen, and the temperature. In addition, the genetic makeup of the cell and its response to internal and external cues can also determine which processes occur.
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If a vehicle goes from 15.0 km/h to 28.0 km/h in 4.60 seconds, how far will it have traveled?
Answers
Answer:
To find the distance the vehicle traveled, you will need to find the average speed of the vehicle over the 4.60 seconds and multiply that by the time traveled.
The average speed of the vehicle can be found by adding the initial speed and the final speed, and then dividing by 2: (15.0 + 28.0) / 2 = 21.5 km/h.
The distance traveled can be found by multiplying the average speed by the time traveled: 21.5 km/h * 4.60 s = 98.7 km.
So, the vehicle will have traveled 98.7 km.
Explanation:
Explain why a solid has a definite shape
and volume.
6. How does the arrangement of atoms in most
solids differ from the arrangement of atoms in
a liquid?
Answers
According to the given statement Atoms in solids vibrate motionless, whereas atoms in fluid move.
Where are atoms found?Everything, that's correct. Matter includes all liquids, solids, sand, plants, animals, and clouds. The building components of matter are called atoms. All stuff is made up of numerous atoms, like how this house is built of many bricks. Because they are not living entities, atoms don't require food, water, or oxygen, and they can't procreate.
Can you kill an atom?The law of energy conservation states that matter cannot be generated or destroyed. As a result, an atom could be destroyed or divided into smaller particles. The electron, proton, the neutron are the three fundamental particles that make up an atom.
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Please help with this
Answers
A unit vector must have length equal to 1. By calculating the length of (1, 1), we discover that (12 + 12) = 2 = 1.414, which is not the same as 1, is the length.
How do you write unit vector notation?I,J notation is a way to describe a vector. In Cartesian coordinates, a unit vector is a vector with length 1. The unit vectors along the axis are denoted by the letters I and j, respectively. The form ai+bj an I + b j can be used to represent any two-dimensional vector.Numerous operations, including addition, subtraction, and vector multiplication, can be carried out with the aid of the vector form of representation. A=xi+yj+zk is the vector form of the cartesian representation of the three points (x, y, and z). A is equal to x I y j, and z k.Vy = Vyj, Vz = Vz k, and Vx = Vxî. V = Vx + Vy + Vz = Vxî+ Vyj+ Vz k is the result of applying the triangle rule to vector addition twice. The unit vector notation is used in this situation.To learn more about vector refer to:
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