If the electric potential in a region is given by v(x)=7/x2 the x component of the electric field in that region is
Hi there!
Recall that:
[tex]\Delta V = -\int\limits^a_b {E \cdot } \, dx[/tex]
Given an electric field, the potential difference can be solved by using integration. Similarly:
[tex]E = -\frac{dV}{dx}[/tex]
We can differentiate the electric potential equation to solve for the electric field.
Use the power rule:
[tex]\frac{dy}{dx} x^n = nx^{n - 1}[/tex]
Differentiate the given equation.
[tex]-\frac{dV}{dx}\frac{7}{x^2} =- \frac{dV}{dx}7x^{-2} = -(-14x^{-3}) = \frac{14}{x^3}[/tex]
Or:
[tex]\boxed{E(x) = \frac{14}{x^3}}[/tex]
The component of the electric field in that region is E = 14/x³ if the electric potential in a region is given by v(x)=7/x2
What is an electric field?An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.
We have:
The electric potential in a region is given by:
[tex]\rm V(x) = \frac{7}{x^2}[/tex]
We know the relation between potential difference and an electric field is given by:
[tex]\rm \triangle V = \int\limits^a_b {E.} \, dx[/tex]
If the electric field is given, then:
[tex]\rm E = -\frac{dV}{dx}[/tex]
[tex]\rm E = -\frac{d(7x^{-2} )}{dx}[/tex]
After differentiate:
[tex]\rm E = -(-14x^{-3})[/tex] or
[tex]\rm E = \frac{14}{x^3}[/tex]
Thus, the component of the electric field in that region is E = 14/x³ if the electric potential in a region is given by v(x)=7/x2
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Pls help with physics.
Question: How does kicking a soccer ball relate to newton's third law?
Thank you!
Answer:
Explanation: “Every action has an equal opposite reaction” is Newton’s third law. So in this situation, kicking the soccer ball is the action and the reaction is it rolling.
Answer:
you push against the ball and the ball pushes back at you
Your force->|<- ball's force
Explanation:
For every action, there is an equal and opposite reaction
The physical meaning of 220 volts
Answer:
a particular level of electical potential from a power source
What are the conditions necessary for a terrestrial planet to have a strong magnetic field?.
100 Points!!!
1.) What does the image of an object look like through a convex lens when the object is further from the lens than the focal point?
A. It looks the same as the actual object.
B. It is right side up and larger than the object.
C. It is upside down and larger than the object.
D. It is upside down and smaller than the object.
2.) What happens when light rays reflect?
A. They are partially absorbed.
B. They bounce back.
C. They are all absorbed
D. They pass through an object.
3.) Based on how it refracts light, what would you expect images formed by a concave lens to look like?
A. Smaller
B. The same as the objects that they are images of
C. Magnified
D. Reversed
4.) What happens to light rays when they enter a different medium?
A. They reflect
B. They Bend
C. They Curve
D. They Stop
(1) The image of an object placed further from the lens than the focal point will be upside down and smaller than the object.
(2) When light rays reflect, they bounce back.
(3) Images formed by a concave lens will look magnified.
(4) When light rays enter a different medium, they bend.
1.0 Object placed further from the lens than the focal pointThe image of an object placed further from the lens than the focal point will be diminished and inverted.
Thus, the correct answer will be "upside down and smaller than the object".
2.0 What is reflection of light?The ability of light to bounce back when it strike a hard surface is known as refection.
3.0 Image formed by concave lensA concave lens is diverging lens is usually virtual, erect and magnified.
4.0 Refraction of lightThe change in speed of light when it travels from medium to another medium is known as refraction. Refraction is also, the ability of light to bend around obstacles.
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Answer:
It is upside down and larger than the object
They bounce back
Magnified
They bend
Explanation:
Why did astronomers suspect an eighth planet beyond uranus? how did they determine where to look for it? construct the correct explanation.
drag the terms on the left to the appropriate blanks on the right to complete the sentences.
brightness - mass - orbit - position - kepler's third law - value - law of gravity
observation of uranus showed small but significant discrepancy between its predicted ______ and its actual ________ , which could mean that another object perturbed its motion.
in the mid-1800s, astronomers used the ________ to predict where a planet would have to be.
Astronomers suspected an eighth planet beyond Uranus because of the irregularities in the motion of Uranus suggested that gravity from another planet was affecting it.
Who is an astronaut?It should be noted that an astronaut simply means an individual who is trained to travel in spacecrafts.
In this case, astronomers suspected an eighth planet beyond Uranus because of the irregularities in the motion of Uranus suggested that gravity from another planet was affecting it.
In mid-1800s, astronomers used the orbits of most asteroids to predict where a planet would have to be.
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In most cultures, the difference between the majority viewpoint and the minority viewpoint is that the majority group is made to feel __________ and the minority group is made to feel __________. A. Divergent. . . Normal B. Equal. . . Superior C. Superior. . . Equal D. Normal. . . Divergent Please select the best answer from the choices provided A B C D.
The difference between the majority viewpoint and the minority view is that the majority group is made to feel normal and the minority group is made to feel divergent.
What is the viewpoint?A vantage point or point of view from which something is viewed or assessed is known as the viewpoint The story is narrated from a variety of perspectives, including two major ones and several smaller ones.
Most studies comparing majority versus minority influence argue the author, places a premium on influence in the sense of prevailing. In this context.
There is evidence that majorities have greater public influence than minorities, and that minority impact when it happens, is mostly latent. In the current version,
Hence the difference between the majority viewpoint and the minority view is that the majority group is made to feel normal and the minority group is made to feel divergent.
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Answer: D
Explanation:
Simplified for you.
What does it mean for forces to be in equilibrium?.
Explanation:
If the size and direction of the forces on the object are exactly balanced , then there is no net force acting on the object
yeah help me with this one too i have no clue
Answer:
C. Stimulus = temperature, response = sweat
Explanation:
So basically, stimulus means cause and response means effect.
So, the cause in this case is temperature, while the response to the temperature is sweating.
Helppppp
5) Experimental Design Cavendish's homemade apparatus gave him a calculated
value for the Gravitational Constant of 6.74E-11 Nm²/kg? The accepted value today
(with 200 years more advanced technology) is 6.67E-11 Nm²/kg? What sources of
error might Cavendish have had? How might scientists have improved this
experiment over the years.
Answer:
The apparatus would need to be extremely delicate because of the very small values being measured, the gravitational attraction of two massive objects.
(I) the torsion constant, measuring the deflection of massive objects would be very small and difficult to measure accurately
(II) since all surrounding objects are massive, it is difficult to remove the effect of such objects from forces being measured
(III) to consider a massive object as having all of its mass at its center, the massive object would need to be uniform throughout - any nonuniformity of the object would affect the calculations
(IV) all physical measurements would need to be made with utmost accuracy because of the relatively small distances involved with regard to the extremely small force being measured
(V) today laser measurements would assist in measuring small deflections accurately
A thundercloud has an electric charge of 48.8 C near the top of the cloud and –41.7 C near the bottom of the cloud. The magnitude of the electric force between these two charges is 7980000 N. What is the average separation between these charges
a/ 1.51 km
b/ 2.53 Km
c/ 1.51 m
d/ 1001 m
Answer: 1.51 km
Explanation:
Coulomb's Law: The electrostatic force between two charge particles Q: and Q2 is directly proportional to product of magnitude of charges and inversely proportional to square of separation distance between them.
Or, [tex]\vec{F}=k \frac{Q_{1} Q_{2}}{r^{2}}[/tex]
Where Q1 and Q2 are magnitude of two charges and r is distance between them:
Given:
Q1 = Charge near top of cloud = 48.8 C
Q2 = Charge near the bottom of cloud = -41.7 C
Force between charge at top and bottom of cloud (i.e. between Q: and Q2) (F) = 7.98 x 10^6N
k = 8.99 x 109Nm^2/C^2
So,
[tex]\begin{aligned}&7.98 \times 10^{6}=\left(8.99 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{C}^{2}\right) \frac{48.8 \mathrm{C} \times 41.7 \mathrm{C}}{\mathrm{r}^{2}} \\&r=\sqrt{\frac{1.8294 \times 10^{13}}{7.98 \times 10^{6}}}=1.514 \times 10^{3} \mathrm{~m}=1.51 \mathrm{~km}\end{aligned}[/tex]
Therefore, the separation between the two charges (r) = 1.51 km
A wave oscillates 4.0 times a second and has a wavelength of 3.0 m.
What are the (a) frequency, (b) period, and (c) speed of this wave?
a) The frequency of the wave is 4.0 Hz
b) The period T of the wave is 0.25s
c) The speed of the wave is 12m/s
Given the data in the question;
Number of oscillation per seconds = 4.0Wavelength; [tex]\lambda = 3.0m[/tex]Frequency; [tex]f = \ ?[/tex]Period; [tex]T = \ ?[/tex]Speed of the wave; [tex]v = \ ?[/tex]Frequency, Period and speed.Frequency is simply the number of occurrences of a repeating phenomenon per unit time.
Period is the time needed for a complete cycle of vibration to pass a given point.
It is expressed as;
[tex]T = \frac{1}{f}[/tex]
Where f is the frequency
Speed is simply the distance traveled in a given interval of time or time ratio.
It is expressed as;
[tex]v = \lambda * f[/tex]
Where [tex]\lambda[/tex] is wavelength and f is frequency
a) Frequency
We said frequency is the number of occurrences of a repeating phenomenon per unit time.
Since the wave oscillates 4.0 times a second
Hence, the frequency of the wave is 4.0 Hz
b) Period
[tex]Period\ T = \frac{1}{f} \\\\Period\ T = \frac{1}{4.0Hz}\\\\Period\ T = \frac{1}{4.0s^{-1}}\\\\Period\ T = 0.25s[/tex]
Therefore, the period T of the wave is 0.25s
c) Speed
[tex]v = \lambda * f\\\\v = 3.0m * 4.0Hz\\\\v = 3.0m * 4.0s^{-1}\\\\v = 12ms^{-1}\\\\v = 12m/s[/tex]
Therefore the speed of the wave is 12m/s.
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What is the ultimate fate of an isolated white dwarf?.
Answer:
It will cool down and become a cold black dwarf.
Explanation:
The electron degeneracy pressure slowly overwhelms gravity, and the white dwarf evaporates. As gravity overwhelms the electron degeneracy pressure, it will explode as a nova.
The kinetic energy of a javelin is 81 J, and its speed is 9.0 m/s. What is its mass?
A. 0.5 kg
B. 1.0 kg
C. 2.0 kg
D. 9.0 kg
Answer:
2 kg
Explanation:
K.E. = 1/2 m v^2
81 = 1/2 m (9^2)
1 = 1/2 m
m = 2 kg
Use F = 1/T as your basis:
10. A stroboscope is set to flash every 8.00×10−5s. What is the frequency of the flashes?
The answer is 12,500 Hz but please show your work.
Now
[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{T}[/tex]
[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{8\times 10^{-5}}[/tex]
[tex]\\ \rm\rightarrowtail \nu=0.125(10^5)[/tex]
[tex]\\ \rm\rightarrowtail \nu=12500s^{-1}[/tex]
[tex]\\ \rm\rightarrowtail \nu=12500Hz[/tex]
What is involved when water changes from one phase to the next?
a
thermal energy
b
indirect energy
c
finite energy
d
ideal gas laws
Thermal energy is involved when water changes from one phase to the next. Option A is correct.
What is latent heat ?Latent heat is the heat needed for the phase change . When the temperature remains constant during melting or boiling, the added energy is employed in the phase change process.
The total number of water particles remains constant when water changes states throughout the water cycle.
When water alterations from one phase to the next, thermal energy is involved. Latent heat is the storage of thermal energy.
Hence, option A is correct.
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A crane lifts a 450 kg concrete to the top of a 50 m building in 5 s.
Assuming g= 10 m/s
)
2
a) The potential energy of the concrete.
, calculate;
b) The power developed by the crane
Explanation:
Given : m=600kg h=20 m
Time of operation t=2 min =120 s
Work done in lifting a box W=mgh=600×10×20=120000
Power required P=
t
W
=
120
120000
=1000 watts
Martha wants to calculate an object's velocity. What will she need to do?
Answer:
you divide the distance by the time it takes to travel that same distance, then you add your direction to it.
Why does a magnet exert force on another magnet when the two magnets are not in contact?
Answer:
1. Why does a magnet exert force on another magnet when the two magnets are not in contact? The magnetic field from north to south increases when they're closer together, and when they repel the repelling force increases as well. This is all due to the magnetic field.
Correct me if I'm wrong, Hope this helps
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Suppose you have a 100 mhz cpu and a a/d converter with an 8 khz sampling rate. Samples of the a/d converter are 32-bits
The sampling rate that's given regarding the CPU will produce a rate of 256kps.
How to calculate the rate?The following can be gotten from the question:
Sampling rate = 8KHx
Number of bits = 32
The data rate will be:
= 32 × 8kbps
= 256kps
In conclusion, the sampling rate that's given regarding the CPU will produce a rate of 256kps.
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The sampling rate specified for the CPU will result in a 256kb/s rate.Sampling rate is also known as the sampling frequency.
What is sampling rate?The number of samples per second collected from a continuous signal to create a discrete or digital signal is referred to as sampling rate or sampling frequency.
The given data in the problem is;
Sampling rate= 100 mhz cpu
Number of bits=32
The rate of the data is;
[tex]\rm R = 32 \times 8 kb/ s \\\\ \rm R = 256 kb / s \\\\[/tex]
Hence the sampling rate specified for the CPU will result in a 256kb/s rate.
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A 120 N accelerates an object 1. 2 m/s? What is the mass of the object?
Answer:
m = 100 kg
Explanation:
F = ma
120 = m × 1.2
m = 120 ÷ 1.2
m = 100 kg
What current is required in the windings of a long solenoid that has 1580 turns uniformly distributed over a length of 0.44 m in order to produce a magnetic field of magnitude 0.000394 T at the center of the solenoid
The current required in the windings of the given long solenoid that has 1580 turns uniformly distributed over the length of the solenoid is 1.98 A.
Magnetic field at the center of a solenoidThe magnetic field at the center of a solenoid is given by the following formula,
B = μ₀nI
where;
μ₀ is permeability of free space n is number of turnsI is current in the solenoidCurrent in the solenoidI = B/μ₀n
I = (0.00394) / (4π x 10⁻⁷ x 1580)
I = 1.98 A
Thus, the current required in the windings of the given long solenoid is 1.98 A.
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Two people are having a race pushing equal sized boxes up a hill. joe pushes the box up the hill in 10 seconds and cindy pushes the box up the hill in 5 seconds. who is applying more pressure on the side of the box?
The person applying a greater pressure to the box is Cindy since it takes her a lesser time to move the box up the hill.
What is pressure?The term pressure is defined as the force per unit area. WWe know that the magnitude of force applied is shown by the time taken to push the box up the hill.
Since Cindy pushes the box up the hill in only five seconds, it means that Cindy is applying a greater pressure to the box.
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Different Betweens in Current Source And Voltage Source.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thanks:')
Answer:
Voltage and current sources are two different sorts of sources that may be found in an electrical network. A voltage source has an emf forcing function, whereas a current source has a current forcing function.
☆ ------ ☆ ------ ☆ ------ ☆ ------ ☆
By which factor is the sound intensity decreased at 3 meters?
StartFraction 1 over 9 EndFraction.
StartFraction 1 over 3 EndFraction.
StartFraction 1 over 2 EndFraction.
StartFraction 1 over 4 EndFraction.
Distance is the factor that decreased the sound intensity.
Which factor decrease sound intensity?As a sound wave carries its energy through a medium, the intensity of the sound wave decreases with increasing distance from the source.
So we can conclude that distance is the factor that decreased the sound intensity.
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By a factor of 1/9, the sound intensity decreased at 3 meters. Option A is correct,
What is the relation between sound intensity and distance?Sound intensity is inverse proportional to the square of the distance.
The intensity of the sound is;
[tex]\rm I = \frac{1}{d^2} \\\\ \rm I = \frac{1}{3^2} \\\\ I=\frac{1}{9}[/tex]
By a factor of 1/9, the sound intensity decreased at 3 meters.
Hence, option A is correct,
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what happens when you put foil in the microwave?
Answer:
The foil makes the microwave spark it can smoke up and catch fie.
Explanation:
-The aluminum foil's sharp edges are what causes the fire, smoke, and sarks.
- Hope This Helps!
-Justin:)
Answer:
itll spark and catch fire
Explanation:
Question 1(Multiple Choice Worth 2 points)
(04.05 LC)
The number of protons plus the number of neutrons in an atom is equal to its
O atomic number
O mass number
O nuclear model
O energy level
Question 2 Multiple Choice Worth 2 points)
Answer: Mass Number
Explanation:
Atomic number is the number of just protons;
Nuclear Model is a theoretical description of what an atom looks like;
Energy levels are the energy states that electrons are in;
However, mass number is by definition the number of protons + number of neutrons. :)
3 Select the correct answer.
Which of the following statements is TRUE? А. Children in the US are generally given the opportunity to play sports in school starting at a young age.
B. The US is one of the few countries to integrate sports into their school systems.
C. Most high schools and colleges in the US have various sport teams.
D. All of the above
Answer:
A,B,C
Explanation:
because that is true
Matthew drops a cherry pit out the car window 1.0m above the ground while traveling down the road at 18m/s.
a) How far, horizontally, from the initial dropping point, will the pit hit the ground
b) Draw a picture of the situation.
c) If the car continues to travel at the same speed, where will the car be in
relation to the pit when it lands?
Answer:
ADD ALL THEM AND ANSER WILL BE THERE 19.O
Explanatio
If a runner exerts 457 j of work to make 321 w of power then how long did it take the runner to do the work
The time taken by the runner to do the work is 1.42 seconds.
Given the data in the question;
Work done; [tex]W = 457J[/tex]Power; [tex]P = 321W[/tex]Time elapsed; [tex]t = \ ?[/tex]PowerPower can be simply referred to as the quantity of energy transferred per unit time.
It is expressed as;
[tex]P = \frac{W}{t}[/tex]
Where W is work done and t is time elapsed.
To determine the time it took the runner to do the work, we substitute our given values into the expression above.
[tex]P = \frac{W}{t} \\\\t = \frac{W}{P} \\\\t = \frac{457J}{321W} \\\\t = \frac{457 kgm^2/s^2}{321 kgm^2/s^3}\\\\t = 1.42s[/tex]
Therefore, the time taken by the runner to do the work is 1.42 seconds.
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