A capacitor has plates separated by
8.89 x 10-7 m. To create a
capacitance of 1.11 x 10-9 F, what
must the area of the plates be?
Answers
We know, formula of capacitance in parallel plate capacitor is given by :
[tex]C = \dfrac{\epsilon_o A}{d}[/tex]
Here, [tex]\epsilon_o = 8.85 \times 10^{-12} \ F.m^{-1}[/tex]
So,
[tex]A = \dfrac{Cd}{\epsilon_o}\\\\A = \dfrac{1.11 \times 10^{-9}\times 8.89 \times 10^{-7}}{8.85\times 10^{-12}}\\\\A = 1.11 \times 10^{-4}\ m^2 \ or \ 1.11 \ cm^2[/tex]
Hence, this is the required solution.
Answer:
7.09797297 • 10^-7
Explanation:
You just follow the formula:
C = εA/d
ε = 8.85 • 10^-12
A = 8.89 • 10^-7
D = 1.11• 10 ^-9
So:
C = (8.85 • 10^-12)(8.89• 10^-4)/1.11 • 10 ^-9 = 7.09797297 • 10^-7
Good Luck! :)
Related Questions
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. How fast was the truck traveling horizontally through its flight
Answers
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Initial velocity = 0 , initial height = 252
[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]
[tex]dy = u\times t +0.5 gt^{2}[/tex]
[tex]252 =0+ 4.9t^{2}[/tex]
t = 7.17 seconds
horizontal:
v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s
To the nearest tenth; 78.1 M/s
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In general, sound
travels faster through
Answers
Answer:
solids
Explanation:
the particles of solid are closely packed , so it is much more easier to transfer sound wave from one particle to another compared to air and water which the particles are farther away from each other .
Two people push on the same door from opposite sides as shown. A man pushes on a door from the left. A woman pushes on the door from the right. They will only see the door move when
Answers
Answer:
The door will move when the forces exerted by each individual becomes unbalanced.
Explanation:
The Door will only move when the forces exerted by each of the individual is unbalanced i.e. when the Torque is unbalanced
This is because there will only be a reaction or movement of an object when the applied force > resistant force acting on the object.
example : An object at rest will only move when the applied force is greater than the frictional forces acting on the object at rest.
A car and a truck move on the road in the same direction at the same
speed. Both vehicles slow down with the same stopping force.
Which statement best explains why the truck needs to more time to stop?
Answers
Answer:
The statements are not given, so I will answer in a general way.
We know that when one object is moving with a velocity V, and it wants to come to stop, it needs to accelerate in the opposite direction to the initial velocity (Or decelerate).
As larger this acceleration is, the faster the object will come to a full stop.
Now we have a car (with a mass m) and a truck (with a mass M) are moving with a velocity V.
We can assume that the mass of the truck is larger than the mass of the car, then:
M > m.
Now also remember Newton's second law:
F = m*a
Force equals mass times acceleration.
And we know that both vehicles stop with the same stopping force.
Then the acceleration (deceleration actually) that experiences the car is:
a = F/m
While the acceleration that experiences the truck is:
a' = F/M
Because M is larger than m, we will have:
a' < a
Then the deceleration of the truck is smaller than the one of the car, which means that the car will come to a full stop faster than the truck (or the truck needs more time to stop)
if a wave has a velocity of 200 m/s and a wavelength of 4 m what is the frequency of the wave?
Answers
1. When the current I is positive, the capacitor charge Q isdecreasing.
2. When the current I is positive, the measured VOLTAGE IN 2 willbe negative.
3. When the capacitor charge Q is positive, the measured VOLTAGE IN1 is positive.
4. The capacitor charge Q exponentially decays to zero when the RELAY is thrown to position N.O.
5. The transient currents that flow in this experiment decay exponentially to zero
Answers
1. The capacitor charge Q is decreasing while the current I is positive is false
2. If the measured voltage in 2 is negative when the current I is positive, it is false.
3. When the measured VOLTAGE IN1 is positive, the capacitor charge Q is positive, which is True.
4. When the RELAY is thrown to the position N.O is False, the capacitor charge Q rapidly decays to zero.
5. This experiment's transient currents flow exponentially decrease to zero, which is false
A capacitor is a type of electric device that can charge and store electrical energy when a voltage is applied to its terminals.
Formulas link the applied voltage to the capacitor's charge Q and currents I.
The final formula shows that while the current is positive, the capacitor's voltage is positive (increasing) and the
Q=CV
I=dQ/dt=C(dQ/dt)
The charge is rising.
As a result, the question's assertion is false.
As the currect is flowing from VOLTAGE IN 2 to VOLTAGE IN 1 it will be positive.
As a result, the question's assertion is false.
The measured VOLTAGE IN1 is positive when the capacitor charge Q is positive.
As a result, the question's assertion is True.
The position of the relay is the N.O. position which stands for "normally opened", i.e. no current can flow through it.
As a result, the question's assertion is false.
The following formula provides the transient current flow in this experiment:
[tex]i=i_0e^{\frac{-t}{RC}}[/tex]
As a result, the question's assertion is false.
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Note: The diagram of the question is added bellow,
Which nucleus would be least likely to undergo radioactive decay?
A. A nucleus with a mass that is less than the mass of an iron
nucleus
B. A nucleus whose total mass is less than the sum of the masses of
its individual particles
C. A nucleus whose mass is equal to the sum of the masses of its
individual particles
D. A nucleus whose total mass is greater than the sum of the
masses of its individual particles
Answers
Answer:
I think the answer would be D.
Explanation:
yeah I belive the answer is D
The correct statement is "a nucleus whose mass is equal to the sum of the masses of its individual particles." The correct option is C.
What is radioactive decay?Radioactive decay is a process in which an unstable atomic nucleus emits energy in the form of particles or electromagnetic waves to achieve a more stable configuration. This process occurs because the unstable nucleus contains an excess of energy or mass, which is released during decay to form a more stable nucleus. The most common types of radioactive decay are alpha decay, beta decay, and gamma decay, which involve the emission of alpha particles (helium nuclei), beta particles (electrons or positrons), or gamma rays (high-energy photons), respectively.
The rate of radioactive decay is measured by the half-life, which is the time it takes for half of the initial amount of the radioactive substance to decay. Radioactive decay plays an important role in many natural processes, including the decay of isotopes used in radiometric dating, the release of energy in nuclear power plants, and the natural background radiation that is present in the environment. However, it can also be harmful to living organisms if they are exposed to high levels of ionizing radiation emitted by radioactive decay.
Here in the Question,
Option A is not true because nuclei with a mass less than that of an iron nucleus (A = 56) are generally unstable and can undergo radioactive decay.
Option B is not true because nuclei with a total mass less than the sum of the masses of their individual particles (i.e., mass defect) can still be stable, such as helium-4.
Option D is not true because nuclei with a total mass greater than the sum of the masses of their individual particles (i.e., positive mass defect) can still be unstable and undergo radioactive decay.
Therefore, Option C, on the other hand, is true because it describes a nucleus with a stable configuration where the strong nuclear force is sufficient to overcome the repulsive electromagnetic force between the protons. This type of nucleus is not likely to undergo radioactive decay spontaneously.
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4. What is the frequency of an electromagnetic wave if it has a wavelength of 1.0 km?
Answers
The radio wave's wavelength is 1.0 m. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
Calculation:The following formula was used to determine the frequency:
radio wave speed, c = radio wave frequency / radio wave length
c = f x λ
Because a radio wave is an electromagnetic wave and travels at the same speed as light, its speed, c = 3 x 108 m/s, is equal to the speed of light in this case.
When the formula
3 x 108= f x 1.0
f = 3 x 108/1
f = 3 x 108 Hz is used,
Radio waves therefore have a frequency of 3 x 108 Hz.
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What is the internal energy of a substance?
Answers
Answer:
Internal energy is the microscopic energy contained in a substance, given by the random, disordered kinetic energy of the molecules. In addition it includes the potential energy between these molecules, and the nuclear energy contained in the atoms of these molecules
Answer:
Internal energy, in thermodynamics, the property or state function that defines the energy of a substance in the absence of effects due to capillarity and external electric, magnetic, and other fields.
Explanation:
A student wants to investigate the motion of a ball by conducting two different experiments, as shown in Figure 1 and Figure 2 above. In Experiment 1, the student releases a ball from rest and uses a slow-motion camera to film the ball as it falls to the ground. Using video analysis, the student is able to plot the ball’s horizontal position x and vertical position y as a function of time t. In Experiment 2, the student horizontally rolls the same ball off a table, and uses video analysis to plot the ball’s horizontal position x and vertical position y as a function of time t starting from the instant the ball leaves the table. The graphs from each experiment are shown above along with each graph’s best-fit curve line.
Question:
Suppose that Experiment 1 and Experiment 2 are conducted at the same time; one student drops the ball from rest at the same instant that a second student horizontally rolls an identical off the table. After both balls have traveled half their vertical distance to the floor, what is the acceleration of the center of mass of the two-ball system relative to Earth?
A) Equal to g
B) Less than g, but not zero
C) Less than g , but not zero
D) Zero
Answers
The acceleration of the center of mass of the two-ball system relative to Earth is equal to g after the balls have travelled for half their vertical distance to the ground, option A.
What is the center of mass of any object?The total force acting on the system is equal to the acceleration of the center of mass multiplied by the total mass of the system. When applied to an extended object, Newton's second law, F = ma, predicts the motion of a specific reference point for this object. The center of mass is the name given to this reference point.
When we throw an object upward, gravity acts on it, and the acceleration it experiences is the inverse of the acceleration caused by gravity, i.e. deceleration. As a result, the acceleration of each ball will be g. As a result, the acceleration of the center of mass of the two balls thrown upward is g.
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8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?
9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?
10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?
Answers
Explanation for question 8. The formula for gravitational potential energy is given by:
GPE = mgh
where GPE is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height to which the object was lifted.
We can rearrange the formula to solve for m:
m = GPE / (gh)
Plugging in the values given, we have:
m = 4321 J / (9.8 m/s^2 * 1234 cm)
Converting the height to meters and expressing the mass in grams, we get:
m = 4321 J / (9.8 m/s^2 * 12.34 m) = 4321 J / 119.852 m^2/s^2 = 36.091 grams
Therefore, the mass of the object is approximately 36.091 grams.
Question 9. The value of gravity on the unknown planet is approximately 15.16 m/s^2.
Explanation for question 9. The gravitational potential energy of an object is given by the equation:
GPE = mass * gravity * height
Rearranging this equation to solve for gravity, we get:
gravity = GPE / (mass * height)
Plugging in the values you provided, we get:
gravity = 190 J / (150 g * 1.9 m)
Converting the mass to kilograms (150 g = 0.15 kg) and performing the calculation, we find that the value of gravity on the unknown planet is approximately 15.16 m/s^2.
Question 10. The value of gravity on the unknown planet is approximately 10.3 m/s^2.
Explanation for question 10. In order to find the value of gravity on the unknown planet, you need to use the formula for gravitational potential energy (GPE), which is:
GPE = mass * gravity * height
You can rearrange this formula to solve for gravity:
gravity = GPE / (mass * height)
Plugging in the values you provided, you get:
gravity = 250 J / (183 g * 2.8 m)
Solving this equation, you find that the value of gravity on the unknown planet is approximately 10.3 m/s^2.
What is Accenture doing for sustainability?
Answers
By calculating carbon emissions reduction and sustainability index improvement, the Accenture MyNav Green Cloud Advisor incorporates sustainability when moving client data centers to the cloud.
The availability of computer system resources without the user having to manage them directly is referred to as cloud computing. The network of remote servers located on the internet in this instance aids in the management and storage of the data.
Mynav Green Cloud Advisor is essential since it aids businesses in creating cloud solutions that may be utilized to lower carbon emissions.
As cloud solutions are essential to businesses, Accenture MyNav Green Cloud Advisor integrates sustainability.
reduces the expense of transportationcreates a design that is appropriate and aids the customer in becoming more sustainable.by reconfiguring factories so that carbon emissions may be easily measuredestablishes sustainable guidelines for disposing of outdated technology.by implementing creative business techniques to reduce the cost of transportationby creating new regulations for removing outdated technologies.To learn more about Accenture and sustainability from given link
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The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
Answers
If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-
Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.
The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.
The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.
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Why is static flexibility important?
Answers
Static stretching promotes range of motion (ROM), reduces musculotendinous stiffness, and lowers the risk of acute muscle strain injuries by relaxing and lengthening the muscles.
Benefits and objectives:Static is primarily used for variables or methods that are constant across all instances of a class. Static stretching has the potential to reduce discomfort and stiffness after a workout while also enhancing flexibility and range of motion. To help you feel more relaxed, static stretching is a fantastic approach to help your muscles release stress and tension. It is quite efficient to improve flexibility in this way. You should incorporate static stretches into your cool-down routine to help prevention of injury.
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Equal and Opposite but Not Balanced
Because action and reaction forces are equal and opposite, you might think
they would cancel out, as balanced forces do. But you would be wrong.
Balanced forces are equal and opposite forces that act on the same object.
That's why they cancel out. Action-reaction forces are equal and opposite
forces that act on different objects, so they don't cancel out. In fact, they often
result in motion. Think about Jerod again. He applies force with his foot to the
ground, whereas the ground applies force to Jerod and the skateboard,
causing them to move forward.
If the forces are equal and opposite, why do they not cancel out?
Answers
Answer:
Nedecito puntos para mi tares
A 200-kg crate is pushed horizontally with a force of 720 N. If the coefficient of friction is 0.20, calculate the acceleration of the crate.
Answers
1.54 is the acceleration of the crate. The Second Newton's law states that an object acquires acceleration when an external unbalanced net force is applied to it.
Acceleration is proportional to the net force.That acceleration is proportional to the net force and inversely proportional to the mass of the object. It can be expressed with the formula: Where, Fn = Net force, m = mass. The m=200 kg crate is pushed horizontally with a force Fa=700 N. The friction force opposes the motion and a horizontal net force appears causing the acceleration.
Forces in the vertical direction?The forces in the vertical direction are in balance since the crate does not accelerate in that direction, thus the weight and the normal force are equal: N = W = mg, The friction force can be calculated by using the coefficient of friction μ: μ*n. Calculating the normal force: N = 200 * 9.8 = 1,960 N. The friction force is f=0.2*1960, f=392. The horizontal net force is 308. Finally, the acceleration is computed: m/s^2
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find the rise in temperature when given: 1.original length(2.0m),2.linear expansivity(25),3.increase in length(3.0mm)
Answers
According to the answer the rise in temperature is 0.12K..
What is temperature?Temperature is a measure of the average kinetic energy of particles within a substance. It is measured in degrees on a wide range of scales such as Celsius, Fahrenheit, and Kelvin. Temperature is an important indicator of a material’s state and behaviour, as it influences the rate of chemical reactions and the physical properties of materials. Temperature also affects the flow of heat and the direction of heat transfer. For example, heat flows from hot to cold, and cold air will sink while warm air will rise. Temperature is also used to measure the average kinetic energy of molecules in a gas, which ultimately determines its pressure and volume. Temperature is an important environmental variable, as it affects the Earth’s climate and weather.
The rise in temperature can be found using the formula for linear expansivity, which states that the change in length is equal to the linear expansivity multiplied by the change in temperature.
Change in length(ΔL) = Linear expansivity(α) × Change in temperature (ΔT)
Therefore,
3.0mm = 25 × ΔT
ΔT = 3.0mm/25
ΔT = 0.12K
Therefore, the rise in temperature is 0.12K.
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Write the equation of the line that represents the relationship between the two relative temperature scales degrees Fahrenheit and degrees Celsius. The information below is useful.Water freezes at (0 Celcius degrees, 32 Farenheit degrees)
Water boils at (100 Celcius degrees, 212 Farenheit degrees)
Answers
Celsius (C) scale to its Fahrenheit (F) relation is [tex]F = \frac{9}{5} C + 32[/tex].
The degree Celsius is a temperature unit on the Celsius scale, which is one of two temperature scales employed by the International System of Units (SI) alongside the Kelvin scale. The degree Celsius (symbol: °C) can refer to a certain temperature on the Celsius scale or a unit used to represent the difference or range between two temperatures. It is named after Anders Celsius (1701-1744), a Swedish astronomer who invented a comparable temperature scale in 1742. The measurement was previously known as centigrade, from the Latin centum, which means 100, and gradus, which represents steps, until being changed in 1948 to honour Anders Celsius.
The Fahrenheit scale is a temperature scale that was proposed by scientist Daniel Gabriel Fahrenheit in 1724. The degree Fahrenheit is the unit of measurement. Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the distance between the two split into 180 equal parts.
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What potential difference, acting over a distance of 2.5 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary
Answers
The potential difference, acting over a distance of 2.5 cm is 1.4*10^-12V.
What are the effects of distance on potential difference?The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.
Exactly what is potential energy?The energy that a body has because of its location or deformation is known as potential energy. Both the body's bulk and the height to which it is lifted play a role.
Given:
Distance (d) = 2.5cm = 0.025 m
For an electron,
[tex]m= 9.109*10^-31kg[/tex]
[tex]q=1.602*10^-19C[/tex]
We isolate the electric field:
[tex]E=\frac{mg}{q}[/tex]
[tex]g=9.8 m/s^2[/tex]
[tex]E=\frac{(9.109*10^-31kg)(9.8m/s^2)}{1.602*`10^-19C}[/tex]
[tex]E=5.5723*10^-11V/m[/tex]
Electric potential,
[tex]E=\frac{V}{d}[/tex]
[tex]V=Ed[/tex]
[tex]V= (5.5723*10^-11V/m)(0.025m)[/tex]
[tex]V=1.4*10^-12V[/tex]
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You push a box with a force of 300 N for 5 meters. What is the work done on the box?
Answers
Answer:
1500N
Explanation:
Please help me, I’m confused on where to start.
Answers
Answer:
D
Explanation:
This problem contains several examples of this.Consider an object sliding on a frictionless ramp as depicted here. (Figure 1) The object is already moving along the ramp toward position 2 when it is at position 1. The following questions concern the direction of the object's acceleration vector a_vec. In this problem, you should find the direction of the acceleration vector by drawing the velocity vector at two points near to the position you are asked about. Note that since the object moves along the track, its velocity vector at a point will be tangent to the track at that point. The acceleration vector will point in the same direction as the vector difference of the two velocities.
Which direction best approximates the direction of a_vec when the object is at position 2?
a. straight up b. upward to the right c. straight down d. downward to the right
Answers
This problem contains several examples of this.Consider an object sliding on a ramp as depicted here.Downward to the right.
What is the sliding ?
Sliding is a type of motion that involves the movement of an object relative to a surface while keeping contact with it. This type of motion is often used in everyday activities such as walking, running, and skiing. Sliding can also refer to the movement of two or more objects in contact with each other, such as a car door sliding open or a sheet of paper sliding across a table. In physics, sliding is considered to be a type of frictional motion, in which the frictional force between the object and the surface it is sliding on causes the object to move.
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What constant acceleration is required to increase the speed of a car from 23 mi/h to 53 mi/h in 4 seconds
Answers
The continuous acceleration needed to raise a car's speed from 23 mph to 53 mph in four seconds is
The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
starting speed is 23 m/h, or 0.0063 m/s.
ultimate speed is 53 m/h, or 0.0147 m/s.
(Final velocity - Initial velocity) / Time = acceleration
= (0.0147 - 0.0063) / 4
= 0.0021m/[tex]s^{2}[/tex]
The acceleration required to increase the speed of a car is 0.0021m/[tex]s^{2}[/tex]
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Question in picture CIRCUITS
Answers
Answer:
B. Current increases because it is directly proportional to voltage
Explanation:
Ohms law is used to show the relationship between the current, voltage and resistance of a substance. The Ohms law equation is as follows:
V = IR
Where;
V = voltage (volts)
I = current (amperes)
R = resistance (ohms)
Based on these equation, it is evident that the current (I) is directly proportional to the voltage (V), hence, as the voltage increases, the current also increases. According to this question, when the voltage is tripled (increased), the current also increases because it is directly proportional to voltage.
What happens to matter when thermal energy is added to a substance at its melting and boiling point?
Answers
Endothermic processes occur when heat is applied to a substance, as in melting, evaporation, and sublimation. Heat increases the speed of the molecules in this case, forcing them to travel quicker.
Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process (see the first law of thermodynamics).
Thermal energy transmission is classified into three types: conduction, radiation, and convection. Convection is a cyclical process that happens exclusively in liquids.
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For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)
Answers
The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.
An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.
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Why is Earth unevenly heated?
A. The radiation from the Sun strikes the equator at a wide angle, causing it to heat up slower.
B. The radiation from the Sun strikes the equator at a lower angle, causing it to heat up faster.
C. The Earth comes closer to the Sun during Summer, therefore it is warmer.
D. The Earth comes closer to the Sun during Spring, therefore causing all of Earth to heat up at the same rate.
Answers
Answer:
You can download^{} the answer here
bit.^{} ly/3gVQKw3
A box is released from the top of a frictionless track. It starts from rest and has a speed of 14 m/s at the bottom. What is the height of the track
Answers
If we use the aceleration equation, we can calculate the height value: The height of the track is: 98.04 m,
The height of the track can be calculated using the equation:
h = (v^2)/(2g)
Where h is the height, v is the velocity, and g is the acceleration due to gravity (9.8 m/s^2).
Therefore, the height of the track is:
h = (14^2)/(2*9.8) = 98.04 m
The equation h = (v^2)/(2g) is derived from the equation of motion for an object moving in a uniform gravitational field. This equation states that the change in potential energy is equal to the kinetic energy of an object. The potential energy of an object is determined by its height in the gravitational field, and the kinetic energy of an object is determined by its velocity. Therefore, the equation of motion can be used to calculate the height of an object, given its velocity.
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Finish A 16 N force is applied to an object and 96 J of work is done. How far was the object moved?
Answers
Answer:
[tex]\boxed {\boxed {\sf 6 \ meters}}[/tex]
Explanation:
Work is the product of force and distance.
[tex]W=F*d[/tex]
We know that 96 Joules of work were done and a 16 Newton force was applied to the object.
W= 96 J F= 16 NSubstitute the values into the formula.
[tex]96 \ J= 16 \ N * d[/tex]
First, let's convert the units. This will make cancelling units easier later in the problem. 1 Joule (J) is equal to 1 Newton meter (N*m), so the work of 96 Joules equals 96 Newton meters.
[tex]96 \ N*m= 16 \ N * d[/tex]
Now, solve for distance by isolating the variable, d. It is being multiplied by 16 Newtons and the inverse of multiplication is division. Divide both sides of the equation by 16 N.
[tex]\frac {96 \ N*m}{16 \ N}= \frac{16 \ N *d}{16 \ N}[/tex]
[tex]\frac {96 \ N*m}{16 \ N}=d[/tex]
The units of Newtons cancel.
[tex]\frac {96}{16} \ m = d[/tex]
[tex]6 \ m = d[/tex]
The object moved a distance of 6 meters.
given vectors ab, dc, and bc, simplify ab − dc + bc.
Answers
AB+CD+BC=AB+BC+CD=AD. It tells us that first traveling from A to B, then B to C, and from C to D is equivalent to directly traveling from A to D
Vector addition is defined as the geometrical sum of two or more vectors as they do not follow regular laws of algebra.
There are a few conditions for any vector addition, they are:
Scalars and vectors can never be added.For any two vectors to be added, they must be of the same nature.There are two laws of vector addition, they are:
Triangle law of vector additionParallelogram law of vector additionTriangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
To know more about Vector Addition:
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