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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A current of 5. 0 amperes is passing through a piece of wire. Determine how long it takes for 30 coulombs of charge to pass through this wire
The time taken for the charge to pass through the cross-section of the wire is 6.0s.
Given the data in the question;
Current; [tex]I = 5.0A[/tex]
Charge; [tex]Q = 30C[/tex]
Time; [tex]t = \ ?[/tex]
CurrentCurrent is simply the rate of flow of charged particles i.e electrons caused by EMF or voltage.
If a charge passes through the cross-section of a conductor in a given time, the current I is expressed as;
[tex]I = \frac{Q}{t}[/tex]
Where Q is the charge and t is time elapsed.
We substitute our given values into the expression above to determine the time it took the charge to pass through this wire.
[tex]I = \frac{Q}{t}\\ \\5.0A = \frac{30C}{t} \\\\t = \frac{30C}{5.0A} \\\\t = 6.0s[/tex]
Therefore, the time taken for the charge to pass through the cross-section of the wire is 6.0s.
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The time taken by 30 coulombs of charge to pass through this wire is 6 seconds.
What is current?The pace at which electrons flow past a point in an electrical circuit is referred to as current.
Current is the ratio of charge and time. Given that the current is equal to 5.0 Amp, while the charge is equal to 30C. Therefore, the time will be equal to,
[tex]I=\dfrac{Q}{t}\\\\5 =\dfrac{30}{t}\\\\t = 6\rm\ sec[/tex]
Hence, the time taken by 30 coulombs of charge to pass through this wire is 6 seconds.
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what is this one too i dont know im lazy right now
Answer:
The answer is Digestion (d)which change of state is shown in the photo
A) Liquid to solid
B) Liquid to gas
C) Gas to liquid
D) Solid and liquid
The change of state that is shown here is from solid to liquid. The correct option is D.
What is states of matter?A state of matter is one of the various forms that matter can take in physics. In everyday life, four states of matter are visible: solid, liquid, gas, and plasma.
In most environments, matter can exist in three distinct physical states: solid, liquid, and gas. In extreme environments, other states such as plasma, Bose-Einstein condensate, and neutron stars may exist.
Here in the given image, ice which is a solid is getting transformed into water i.e., liquid, so it can be considered that the phase is transforming from solid to liquid.
Thus, the correct option is D.
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The top speed of a car is determined by several factors including:
*Power of the motor
*Weight of the car
*Aerodynamics of the car
*Grip of the tires on the road
1) How would you go about determining which of these has the strongest effect?
Helppp!!
Answer:
Power of the motor.
Explanation:
If it didn't have grip, it would still move. If it was barely aerodynamic (pretty sure nothing can be not aerodynamic at all) it would still move. If it weighed more that the sun (and you had a strong enough motor) it would still move but without a motor, it won't move. Therefore, the motor is the most effective.
What kind of model is this?
A. Experimental model
O B. Mathematical model
O C. Computer model
o
D. Physical model
Answer:
I think it's Experimental
Explanation:
it has atoms on it.
Answer:
D
Explanation:
It is a physical model.
A current in a wire increases from 2 a to 6 a. how will the magnetic field 0.01 m from the wire change? it increases to four times its original value. it increases to three times its original value. it decreases to one-fourth its original value. it decreases to one-third its original value.
Answer:
It increases to three times it's original value.
Explanation:
B
Hi there!
Recall the equation for the magnetic field of a wire (assuming infinite):
[tex]B = \frac{\mu _0 i_{encl}}{2\pi r}[/tex]
B = Magnetic field (T)
μ₀ = Permeability of Free Space (Tm/A)
i = enclosed current (A)
r = distance from wire (m)
From the equation, we can see that there is a DIRECT relationship between the current and the magnetic field.
Therefore, if the current is increased by a factor of 3, the FIELD will also be increased by a factor of three.
Scientists have organized all forms of energy into two types—kinetic and potential. Kinetic energy is the energy of motion, and potential energy is stored energy.
Raise the pendulum again. Carefully watch the Energy Graph on the left. It shows the amount of energy the pendulum has as it moves.
At the top of its swing, does the pendulum have kinetic energy or potential energy?
PLEASE HELP!
Answer:
Potential energy only
Explanation:
at the top of its swing the pendulum stops moving , (therefore it has no KINETIC energy) thus all of the energy is stored as potential energy.
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds
What is the acceleration?
- 13 m/s
-6m/s
6 m/s
13 m/s
Answer:
C
Explanation:
65-35 = 30
30 divided by 5 = 6
The answer will be 6 m/s
Explanation:
c............ ......
...
In one to two sentences, describe the relationship between harmonics and resonance frequency in a piano.
Most vibrating things have several resonant frequencies, and musical instruments often vibrate at harmonics of the fundamental frequency. An integer (whole number) multiple of the fundamental frequency is defined as a harmonic.
In a Piano the relation between harmonic and resonance frequency is n_{1} : n_{2} : n_{3} = 1:2:3.
What is harmonic and resonance ?"It is wave having frequency which is multiple integral of the fundamental frequency. The fundamental frequency is called first Harmonic. If a body starts vibration under impact of external vibrational force , is called Resonance. Since a Piano can produce all type of frequencies due to resonance therefore it produces melodious sound. Hence relation between harmonic and resonance frequency is n_{1} : n_{2} : n_{3}= 1:2:3."
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to be a social worker, you must have a master’s degree
A.True
B.False
Answer:
B -- False
Explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
At a later time interval, the thrust force is 50N, the drag force is 20N, the lift force is 40N, and the weight (gravity) force is 40N.
25N
Drag
40N
Lift
50N
Thrust
40N
Weight
During this time interval, which forces are unbalanced?
During this time interval, the unbalanced forces are the downward forces which include drag force and weight of the object.
Net force on the objectThe net force on the object is obtained by summing all the forces acting on the object.
Let the upward force = positive
Let the downward force = negative
Thrust force (upward) = 50 NDrag force (downward) = 20 NLift force (upward) = 40 NWeight (downward) = 40 NNet force = (50 N + 40 N) - (20 N + 40 N)
Net force = 90 N - 60 N = 30 N
Thus, during this time interval, the unbalanced forces are the downward forces which include drag force and weight of the object.
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Please see attached.
Answer:
D
Explanation:
The speed is increasing and he was stationary which means the acceleration is not 0
A dense mix of dry, hot rock fragments and hot gas erupting from volcanic vents at high speed is pyroclastic flow. lahar. fumarole. tephra.
Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.
What is magma?Magma is the extremely hot liquid and flows under the surface of the earth. When this liquid comes out to the surface of earth, then called as lava.
Gas bubble, making up to lave are energetic in nature, because they keep on expanding in all directions, they will go all out to the only open are of a volcano, the vent, in an upward direction.
Hence Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.
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An atom or ion has the abbreviated electron configuration [kr]. Select the species that it could not be
An atom or ion which does not have the same electronic configuration as the species [kr] is K+
The complete question is given below:
An atom or ion has the abbreviated electron configuration (Kr). Select the species that it could not A. Br" B. K+ C. Sr24 D. Rbt E. Se-
What is an atom?An atom can be defined as the smallest particle of an element which can take part in a chemical reaction.
Some elements are
Monoatomic; eg: CDiatomic; eg: O2Triatomic and othersPolyatomicSo therefore, an atom or ion which does not have the same electronic configuration as the species [kr] is K+
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The number of electrons in the atom comprised the atomic number and the electronic configuration. The ionic species that lacks the same configuration as Kr is potassium ion.
What is atom?An atom is the smallest unit of the matter with the presence of electrons, protons and neutrons as the subatomic particles. The electrons are present in the orbital and the loss and gain of the electrons adds charge to the atom.
The number of electrons in Kr atom is 36. The number of electrons in the following species is:
[tex]\rm Br^-=36\\Sr^{2+}=36\\K^+=18\\Rb^+=36\\[/tex]
Thus, the atom or ionic species that lacks the same configuration as Kr is potassium ion.
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A solid cylinder with diameter 20cm has an angular velocity of 10m/s and angular momentum of 2kgm^2/s. What is its mass?
Hi there!
Recall the equation for angular momentum:
[tex]L = I\omega[/tex]
L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)
We know that the Moment of Inertia of a solid cylinder is equivalent to:
[tex]I = \frac{1}{2}MR^2[/tex]
M = mass (kg)
R = radius (m)
Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.
[tex]r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m[/tex]
[tex]I = \frac{1}{2}M(0.1^2) = 0.005 M[/tex]
We can rearrange the equation of angular momentum to solve for mass.
[tex]L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}[/tex]
What is the term for either the number of times per second that a wave vibrates or the number of matching points that pass a location during one second? O A. Frequency B. Period O C. Wavelength D. Amplitude
The right answer is Frequency. Option A
Frequency is defined as the number of wave oscillations per unit of time and is measured in hertz. Frequency is directly proportional to pitch. Distance from the rest position to maximum shaft deflection. Frequency The number of waves he passes through a particular point per second. Measures the time it takes for a wave cycle to complete.
Maximum displacement or distance traveled by a point on the vibrating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. The frequencies are opposite. The number of wave cycles to complete per second. Both amplitude and wavelength are measures of distance. Amplitude measures the height of the wave crest from the centerline. Wavelength measures the horizontal distance between cycles.
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A physician is going to use high-frequency electromagnetic radiation to treat cancer in a patient. Which is a claim about this event?(1 point)
A wave model is most useful for describing the frequency of the radiation.
Using gamma rays is the best to treat cancer because they act like particles.
The radiation will destroy the cells by transferring energy to them.
All of the cancer cells in the targeted region will be destroyed by the radiation.
Answer:
The answer is B
Explanation:
This is the only statement that is opinionated, therefore it is the only claim.
Answer: A wave model is most useful for describing the frequency of the radiation
Explanation:
I just took the test
A student looks at a white light source through spectroscope which views the light through many tiny slits. The student sees a rainbow of colors. Which of these is the best explanation for why the student sees many colors through the slits.
When the various colors in the spectrum of white light are separated, the student sees a rainbow of colors.
Spectrum of white lightWhite light is a spectrum of seven wavelengths namely; red, orange, violet, green, blue, indigo, yellow. When white ligt is passed through many tiny slits, these wavelengths become separated.
As a result of the separation of these seven wavelengths that compose white light, the student sees a rainbow of colors.
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How do you think an object's mass relates to its weight?
Explanation:
w = m.g
g is Gravity acceleration . on surface of Earth it's
9.8 m/s² ≈ 10 m/s²
A 0.105- kg hockey puck moving at 24 m/s is caught and held by a 75-kg goalie at rest. With what speed does the goalie slide on the ice after catching the puck? Define the puck and the goalie as a system.
please show work, help
Answer:
0.03 m/s
Explanation:
Applying law of conservation of momentum,
m₁v₁ + m₂v₂ = (m₁ + m₂)v0.105(24) + 75(0) = (0.105 + 75)v75.105v = 2.52v = 2.52/75.105v = 0.03 m/sPlsss help with this, will give brainliest!!!
Answer:
c
True
True
False
True
**
metals, non-metal, high, lower
Explanation:
A thin uniform disk of mass m and radius r has a string wrapped
The magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex])
How to analysis a rigid body on dynamical conditionA rigid body is a system whose geometry cannot be neglected and in which deformations due to external forces applied on the system are negligible.
In this question we need to establish a free body diagram with all critical forces and motion conditions. There are two external forces: (i) tension ([tex]F_{T}[/tex]), (ii) weight ([tex]F_{g}[/tex]), both in newtons.
The disk falls due to gravity and rotates around the string in a case of rolling, which combines rotation and translation. By Newton's laws of motion we have the following expression:
[tex]\sum F = -F_{g}+F_{T} = -m\cdot R\cdot \alpha[/tex] (1)
Where:
[tex]m[/tex] - Mass of the disk, in kilograms.[tex]\alpha[/tex] - Angular acceleration, in radians per square second.By algebra we derive the following relationship between the two forces:
[tex]-F_{g} = -F_{T}-m\cdot R\cdot \alpha[/tex]
[tex]F_{g} > F_{T}[/tex]
Therefore, the magnitude of the weight of the disk is greater than the magnitude of the tension force of the string. ((c) [tex]F_{T} < F_{g}[/tex]) [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. Correct and complete form is shown below:
A thin uniform disk of mass m and radius r has a string wrapped around its edge and attached to the ceiling. The bottom of the disk is at height 3R above the floor, as shown above. The disk is released from rest. The rotational inertia of a disk around its center is [tex]I = \frac{1}{2}\cdot M\cdot R^{2}[/tex].
When released from rest, the disk falls and the string unwinds. The force that the string exerts on the disk is [tex]F_{T}[/tex], and the gravitational force exerted on the disk is [tex]F_{g}[/tex]. Which of the following expression correctly relates [tex]F_{T}[/tex] and [tex]F_{g}[/tex] as the disk falls?
(a) [tex]F_{T} > F_{g}[/tex], (b) [tex]F_{T} = F_{g}[/tex], (c) [tex]F_{T} < F_{g}[/tex]
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Daryl uses a microphone connected to an oscilloscope to study sound waves. He finds that higher pitched sounds have higher frequencies and shorter wavelengths while lower pitched sounds have lower frequencies and longer wavelengths. Daryl concludes that the relationship between the frequency and the wavelength of sound waves in air is the result of causation and not correlation. In two to three sentences, describe whether Daryl’s conclusion is correct and explain why or why not.
Daryl’s conclusion that the relationship between the frequency and the wavelength of sound waves in air is the result of causation is correct.
What is Causation?This is defined as the relationship between successive events when the first event brings about the other.
The higher frequencies brings about shorter wavelengths which is why it is termed as being a result of causation.
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An electromagnetic radio wave is received by a transmitter before it is converted to a sound wave. The radio wave has a wavelength of 23,076 m and a frequency of 13,000 Hz. What velocity is the wave traveling at before the transmitter converts it to a sound wave? 1. 76 m/s 0. 56 m/s 3. 31 × 102 m/s 3. 00 × 108 m/s.
The velocity the wave was traveling at before the transmitter converts it to a sound wave is 3.0 x 10⁸ m/s.
What is Velocity of waves?The velocity of waves is the rate of change of the wave's displacement with time.
The velocity of waves is determined by taking the product of the wave's frequency and wavelength.
v = fλ
v = 13,000 x 23,076
v = 3.0 x 10⁸ m/s.
Thus, the velocity the wave was traveling at before the transmitter converts it to a sound wave is 3.0 x 10⁸ m/s.
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A student states, "The wave model is better than the particle model for electromagnetic radiation because it is easier to understand." Is the student's statement a scientific claim?(1 point)
Yes, it is because simpler scientific models are better.
No, it isn't because the particle model is better than the wave model.
No, it isn't because the statement is an opinion.
Yes, it is because there is ample proof that wave models are easier.
The student's claim did not follow the scientific method of discovery, hence, it is an opinion not a scientific claim.
What is the scientific method?The scientific method is a procedure employed by scientific towards understanding the world around them as well giving explanation for phenomena in the natural world.
The scientific method involves:
observations asking questions putting forward a hypothesis testing the hypothesis through experiments analyzing results of the experiments and drawing conclusions establishing a theory.Since the student in question just put forward an opinion without testing it out using the scientific method, the statement is not a scientific claim.
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What does it mean for something to have charge?
A runner begins from rest at the starting line and travles for 6.5 seconds, a runner reaches a speed of 13.4 m/s what is the runners acceleration?
The acceleration of the runner in the given time is 2.06m/s².
Given the data in the question;
Since the runner begins from rest,
Initial velocity; [tex]u = 0[/tex]Final velocity; [tex]v = 13.4m/s[/tex]Time elapsed; [tex]t = 6.5s[/tex]Acceleration of the runner; [tex]a = \ ?[/tex]
Velocity is the speed at which an object moves in a particular direction.
Acceleration is simply the rate of change of the velocity of a particle or object with respect to time. Now, we can see the relationship from the First Equation of Motion
[tex]v = u + at[/tex]
Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.
To determine the acceleration of the runner, we substitute our given values into the equation above.
[tex]v = u + at\\\\13.4m/s = 0 + (a * 6.5s)\\\\13.4m/s = a * 6.5s\\\\a = \frac{13.4m/s}{6.5s}\\ \\a = 2.06m/s^2[/tex]
Therefore, the acceleration of the runner in the given time is 2.06m/s².
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Why does the final electron energy not depend on the focusing cylinder voltage?
The electron energy does not depend on the focusing cylinder voltage because the magnetic field runs perpendicular to the electron's direction of movement.
What is a magnetic field?A magnetic field is produced by moving negatively electric charges (electrons) which generate magnetic forces that are observable.
The negative electrons that orbit around atoms in a molecule generate small magnetic fields around such atoms.
According to Fleming's left-hand rule, the direction of a magnetic force acting on a current is perpendicular to the direction of the electric current and magnetic field.
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Because it exerts a force that's also parallel to the horizontal fields instead of in opposition to it, the final electron energy is unchanged by the focusing cylinder voltage.
What is electron energy?An electron's energy is on the same scale (in the same range) as that of light. The lines in an element's spectrum represent changes in the energy of electrons within the element's atoms. Scientists have reached numerous conclusions regarding the behavior of electrons in atoms by studying these spectra.
Negative electrons orbiting around atoms in a molecule produce modest magnetic fields surrounding them.
The vector of a magnetic force that acts on a current is opposite to the axis of the electric current and magnetic fields, as per Fleming's left-hand rule.
Thus, because it exerts a force that's also parallel to the horizontal fields instead of in opposition to it, the final electron energy is unchanged by the focusing cylinder voltage.
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16. By how much leeway (both percentage and mass) would you have in the selection of the mass of the object in the previous problem if you did not wish the new period to be greater than 2.01 s or less than 1.99 s?
Please show all of your work.
Here is the solution for previous question
[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}[/tex]
[tex]\\ \rm\rightarrowtail T\propto \sqrt{m}[/tex]
Hence
[tex]\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}[/tex]
[tex]\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}[/tex]
[tex]\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}[/tex]
[tex]\\ \rm\rightarrowtail m_2=0.888888888\dots[/tex]
So
from this
So it's infinite in terms of 8 so must be greter than one 8
We rounded it up for 3 decimals
0.889kgSo
Error range=[1.99,2.01]
∆Error=2.01-1.99=0.02Very mere one
Now find percentage
[tex]\\ \rm\rightarrowtail \dfrac{0.02}{2}(100)=0.01(100)=1\%[/tex]
Mass should be lied in
0.01(0.889)=0.00889 kgBut for increase mass
it would be
0.00889-0.00500=0.00389kgUse work and energy to find an expression for the speed
of the block in the following figure just before it hits the
floor.(Figure 1)
Since the kinetic energy is equal to the potential energy then the speed of the object is √2gh.
Work and energyThe term work refers to the product of force and distance moved by force while energy is the ability to do work. The question is incomplete as the figure is not shown.
We know that the kinetic energy is equal to the potential energy hence;
mgh = 1/2mv^2
gh= 1/2v^2
v = √2gh
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