When the friction coefficient between a road and the tyre of a vehicle is 4/3, the maximum incline that the road may have would be 16° so that when brakes are applied, the vehicle stops within 5 m.
What does friction coefficient mean?The ratio of the frictional force to the normal force is called as the coefficient of friction (COF), which has no dimensions. The ratio that is present between the normal force pressing two surfaces together and the frictional force preventing motion between the two surfaces.
It is mostly represented by using the Greek letter mu (μ) Those materials are said to be as lubricous only if their COF is less than 0.1.
The present Surface roughness and the kind of COF are related to the nature of the materials.
Then we see that,
S=5m,
Friction coefficient (μ)=4/3,
g=10m/[tex]s^{2}[/tex]
speed u=36km/h=10m/s
v=0 a=[tex]\frac{v^{2}-u^{2} }{2s}[/tex] = [tex]\frac{0-10^{2} }{2*5}[/tex] = 10 m/[tex]s^{2}[/tex]
Then,
R−mgcosθ = 0
⇒ R = mgcosθ
then, ma+mgsinθ−μR = 0
⇒ ma+mgsinθ−μmgcosθ = 0
⇒ a + gsin[tex]\theta\\[/tex] - μgcosθ = 0
⇒ 10 + 10sinθ - [tex]\frac{4}{3}[/tex] x 10cosθ = 0
⇒ 30+30sinθ -40cosθ = 0
⇒ 4cosθ - 3sinθ = 3
⇒ 4[tex]\sqrt{1-sin^{2}\theta }[/tex] = 3+3sinθ
if we square both sides, we have,
sinθ = [tex]\frac{18+\sqrt{18^{2}-4(25)(-7) } }{2*25}[/tex]
= 14/50 = 0.28
⇒ θ = [tex]sin^{-1}[/tex] (0.28) = 16°
Hence maximum inclination
θ= 16°
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A car is rolling backwards when I hit the gas after 8.2 five seconds it is movie Florida 8.62 M/s is 12.9m to the right of its starting point
The correct answer -5.49 m/s.
The data is provided as follows.
Initial velocity (u) =?, Final velocity (v) = 8.62 m/s.
Time is 8.25 seconds, and the distance is 12.9 meters.
As a result, the following formula can be used to determine beginning velocity.
v = v_0 + at
8.62 m/s = v_0 + a×8.25
v_0 = 8.62-8.2a ____(1)
s = v_0×t +1/2 a ×t^2 _____(2)
As a result, enter the value from equation (1) into equation (2) in the manner described below.
s =8.62m/s-8.25a×t+1/2 a×t^2 ______(3)
Now enter the following values for s and t into equation (3).
12.9 m = (8.62-a×8.25)×8.25+1/2 a× (8.25)^2
a= 1.71 m/s^2
As a result, the value of initial velocity using equation (1) will be as follows.
v_0=8.62-8.25×1.71
v_0=-5.49 m/s
As a result, we may say that the car's beginning speed is -5.49 m/s.
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a nonconducting wall carries charge with a uniform density of 8.15 µc/cm2. (a) what is the electric field 5.25 cm in front of the wall if 5.25 cm is small compared with the dimensions of the wall?
The electric field in front of the wall will be 4.61 × 10⁹ N/C.
What is the electric field?An electrostatic force is a natural environment that covers electric polarization and acts as an attractor or repellent to all other energetic particles in the vicinity. It can also refer to a network of charged particles' test performance.
The electric field is given as,
E = σ / 2ε₀
Where σ is the charge per unit area, ε is the permeability (8.85 x 10⁻¹² N-m² / C²).
A non-conducting wall carries a charge with a uniform density of 8.15 µc / square cm.
The charge per unit area of the wall will be
σ = 8.15 × 10⁻⁶ C/cm²
σ = (8.15 × 10⁻⁶ C/cm²) × (100 cm / m)²
σ = 8.15 × 10⁻² C/m²
Then, at a distance of 2.00 cm, the electric field will be
E = 8.15 × 10⁻² / 2(8.85 x 10⁻¹²)
E = 4.61 × 10⁹ N/C.
The electric field in front of the wall will be 4.61 × 10⁹ N/C.
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Planet building occurs through the process of ____, which involves the clumping of small particles into larger masses.
Planet building occurs through the process of accretion which involves the clumping of small particles into larger masses.
What is accretion?Its spatial period is known as the wavelength, which in physics is the distance that a periodic wave cycles across. It is a characteristic of both traveling waves and standing waves as well as other spatial wave patterns. It is the separation between two successively related wave points of the same phase, such as two close-by crests, troughs, or zero crossings. The inverse of the wavelength is known as the spatial frequency. It is commonly denoted by the Greek letter lambda, which is also known as the "wavelength." Also usually referred to as having a wavelength are the sinusoidal wave envelopes, modulated waves, and waves produced by the interference of several sinusoids. When a sinusoidal wave is thought to be moving at a constant speed, the relationship between wavelength and frequency is inverse.
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if the electric field is suddenly turned off, what is the speed of the sphere at the bottom of its swing (in m/s)?
The speed of the sphere at the bottom of the swing is 2.182 m/s if the electric field is turned off.
What is Law conservation of Mechanical energy?The sum of the Kinetic energy and the potential energy is known as the total Mechanical Energy.
[tex]U_f +K_f=U_i+K_i[/tex]
Where, [tex]U_{f}[/tex] and [tex]K_{f}[/tex] are final potential energy and kinetic energy respectively.
[tex]U_{i}[/tex] and [tex]K_{i}[/tex] are initial potential energy and kinetic energy respectively.
The total Mechanical energy of the system remains constant if the internal forces are conservative and the external forces do no work. This is called the Principle of conservation of energy.
The length of the string L = 2.3
As the electric field is turned off, then it just behaves like a simple pendulum.
Hence, using the Conservation of mechanical energy, in the pendulum, at the bottom the total energy is conserved and the kinetic energy and mechanical energy are equal.
Let the mass of the sphere be m and the velocity of the sphere be v,
Kinetic energy (K) = 1/2 mv²
Potential energy(P) = mgL
g = 9.8 m/s²
Equating both the energies,
K = P
1/2 mv² = mgL
v² = 2gL
v=[tex]\sqrt{2gL}[/tex]
[tex]v=\sqrt{2\times9.8\times24\times10^{-3}}[/tex]
v = 2.182m/s
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Calculate the components of the following projectile's velocity
1. v = 35 m/s 0 = 15° vx =, vy=
2. v = 35 m/s 0 = 30° vx = , vy=
3. v= 35 m/s 0 = 45° vx = ,vy=
Projectile motion is the motion of an object thrown (projected) into the air. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory. As an object travels through the air, it encounters a frictional force that slows its motion called air resistance. Air resistance does significantly alter trajectory motion, but due to the difficulty in the calculation, it is ignored in introductory physics.
the components of the following projectile's velocity into X- the axis and Y - axis
1. vx = 35 cos15° and vy sin15°
2. vx = 35 cos30° and vy sin30°
3. vx = 35 cos45° and vy sin45°
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Select three true statements I need help quick
Answer:
TrueFalseFalseTrueTrueTrueExplanation:
A neutral atom will always have same number of protons and electrons no wonder the amount of neutrons.They have a slight difference between so they are not the same.As I stated neutral atom will always have same number of Protons and Electrons do not mistake Neutron for it.Everything that takes up space and has mass is called matterAtoms are also know as building blocksIt is made from tiny atom particlesHope everything's clear!
Goodluck
A cannon is fired horizontally from the top of a platform, with a velocity of 18m/s. If the cannon ball
lands 162m away from the base of the platform, How long does it take for the cannon ball to hit the
ground? How tall is the platform?
I
The time cannon ball to hit the ground is 9s and length of platform is 1,458 m.
Equation :To calculate time taken by cannon ball hit ground we use formula,
speed = distance / time
s = d / t
As given,
s is 18m/s
d is 162m
t = ?
Putting the values,
18m/s = 162m / t
t = 162m / 18m/s
t = 9 s
To calculate length of platform,
length = distance x time taken to hit the ground
l = 162m x 9s
l = 1,458 m
Velocity :When an object is moving, its velocity is the rate at which its direction is changing as seen from a specific point of view and as measured by a specific unit of time. a vector measurement of the motion's velocities. Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway.
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A soccer ball was kicked toward the goal. The horizontal component of velocity was 22 m/s and the vertical component was 12 m/s. What is the magnitude of the resultant velocity of the soccer ball?.
The magnitude of the resultant velocity of the soccer ball is: 25.059 m/s
The formula for projectile motion that we will use to solve this exercise is:
vf= √[v(x)² + v(y)²]
Where:
vf= final velocityv(x)= horizontal component of velocityv(y)= vertical component of velocityInformation about the problem:
v(x)= 22 m/sv(y)= 12 m/svf=?Applying the final velocity formula we have:
vf= √[v(x)² + v(y)²]
vf= √[(22 m/s)² + (12 m/s)²]
vf= √[484 m²/s² + 144 m²/s²]
vf= √[628 m²/s²]
vf= 25.059 m/s
What is projectile motion?The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.
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Please answer in complete sentences
The x axis shows the type of product while the y axis can be used to show the percentage.
What is a bar chart?The bar chart is one of the ways to present data. It involves the use of long bars to represent the dependent variable. We know that data presentation is a very vital part of information presentation.
Now, if we look at the chart, we can see that there are two axes, the x and the y axis. In either case, the axis mean something!
The x axis shows the type of product while the y axis can be used to show the percentage.
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A 400kg hollow steel flywheel energy storage with 2m outer diameter and a thickness of 225mm spins at 6000rpm. with 80fficiency, how long it will support 100kw load?
t = 497.2 sec
outer diameter, Do=2a
thickness, t= 0.225m. Inner diameter, Di= 2-2*0.225
= 1.55m
mean Radius = 0.8975m.
I= moment of inertia of flywheel
= 400 * (0.8875)^2
=315.0625 kgm^2
w = 200 π rad/s
K.E of flywheel = 1/2 Iw^2
= 62190844.73 joule
= 100x10^3*t ÷ 0.8
t = 497.2 sec
moment of inertia is the tendency of a body to resist rotation or angular motionthe moment of inertia depend on he mass of the object and the way the mass is distributed relative to the axis of rotationinertia is the tendency to resist motion moment of inertia is a inertial propertyTo know more about moment of inertia visit : https://brainly.com/question/15246709
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where m and m are masses and r is the separation distance. the dimension of force is specified by the equation f
The equation of the force between the two masses separated by distance r, is determined as Gmm/r².
Equation of force between the two masses
The equation of the force between the two masses is determined from Newton's law of universal gravitation as shown below.
f = Gmm/r²
where;
G is universal gravitation constantm is mass in kgr is distance in mf is force in NThus, the equation of the force between the two masses separated by distance r, is determined as Gmm/r².
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which of the following best explains the picture
According to the illustration, the graphic illustrates the arrow and the intended target.
To target something or someone means to aim at them specifically. To aim a gun at a shooting range is an example of a target. To focus all of your efforts on one objective is an example of a target. verb. A target is an item or objective that is the subject of an aim.
Two or three arrows have been depicted in the green area of the image, which is located very distant from the red location. Given that they are all in the same location, this illustrates the idea of weak or low precision and excessive precession.
As a result, choice B is accurate.
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Which of the following is NOT a pure substance? milk oxygen carbon dioxide
Answer:
milk...................
The radius of the galaxy is 3x1020 m. how fast would a spaceship have to move to cross from one edge of the galaxy to the opposite edge in 300 years as measured by a clock onboard the spaceship?
The speed will be equal to 6.67 x 10¹⁷ meters per year.
What is speed?Speed is defined as the ratio of the time it takes for a body to cross a distance to the time it takes. Since it is a scalar quantity, speed cannot be represented by a direction.
Given that the radius of the galaxy is 3x1020 m. The time to cross one edge to another edge of the galaxy is 300 years.
The speed will be calculated by using the formula below:-
S = ( 2 x 3 x 10²⁰ ) / 300
S = 6.67 x 10¹⁷ Meters per year.
Therefore, the speed will be equal to 6.67 x 10¹⁷ meters per year.
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a 2.50 kg block, sitting on the floor, is attached to a wall by a spring with a spring constant of k
The force exerted on the block by the spring is 89.7 N and it will experience an acceleration of 35.8 m/s².
Mass of the block = 2.5 kg
Spring constant of the spring = 115 N/m
Change in the length of the spring = 78.5 cm = 0.78 m
Friction = 0
The force exerted on the block by the spring is,
[tex]Spring \: constant = \frac{Force }{ Change \: in \: length \: of \: the \: spring}[/tex]
[tex]k = \frac{F}{x}[/tex]
[tex]F = x \times k[/tex]
[tex]F = 0.78 \times 115[/tex]
[tex] = 89.7 \: N[/tex]
The force exerted on the block by the spring is 89.7 N.
It will experience an acceleration of,
[tex]Force= mass \times acceleration[/tex]
[tex]F = m \times a[/tex]
[tex]a = \frac{F}{m} [/tex]
[tex]a = \frac{89.7}{2.5} [/tex]
[tex] = 35.8 \: m/s ^{2} [/tex]
Thus, it will experience an acceleration of 35.8 m/s².
Therefore, the force exerted on the block by the spring is 89.7 N and it will experience an acceleration of 35.8
m/s².
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A mass attached to a spring is displaced from its equilibrium position by 5cm and released. The system then oscillates in simple harmonic motion with a period of 1s. If that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case?.
Time interval stays the same = 1 sec in this case.
Because, T = 2 pi (m/k)^1/2 is independent of displacement depends on mass and the same in both situations spring constant.
What is the interval of time?
The length of time between two specific moments in time is known as a time interval. Here's an illustration: "The period between three and four o'clock is one hour." Different units are used to describe different lengths of time, and some units are more suited to particular periods of time than others.
A second is the shortest unit of time we would utilize on a daily basis. And a day is made up of 24 hours. A watch or a clock can be used to record these time units. A calendar is necessary if you want to measure longer periods of time.
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Find the work done by winding up a hanging cable of length 26 ft and weight density 2 lb/ft. round your answer to two decimal places, if necessary.
The work done by winding up a hanging cable of length 12 ft and weight density of 2 lb/ft is 676 ft/lb.
Consider that the entire hanging cable is lifted by 26 feet and there is a weight density of 2 pounds per feet.
Then, the work done by hanging is
W = ∫2x dx from 0 to 26
W = 676 ft/lb.
When a force moves something over a distance, work is done. The energy transferred, or work done, can be calculated by multiplying the force by the distance moved in the direction of the force.
Work done = force × distance moved in the direction of the force = energy transferred.
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If light from one star is 40 times brighter (has 40 times more flux) than light from another star, what is their difference in magnitudes?
The difference between the magnitudes of stars will be 4.0 magnitudes.
What is the Magnitude of a Star?The term magnitude is used to refer to a star's brightness.
Two different magnitudes are used by astronomers to describe stars. The brightness of the star as seen from Earth is known as its apparent magnitude. The perceived brightness is the basis for the magnitude scale. Astronomers can use this to establish the star's exact absolute magnitude. The real brightness of the star is measured by its absolute magnitude.
According to the question, the difference between the magnitude of two stars will be :
[tex]m_b-m_a[/tex]=2.5 log([tex]I_A/I_B[/tex]) where,
[tex]m_a[/tex] and [tex]m_b[/tex] is the magnitude of star A and Star B and,
[tex]I_A[/tex] and [tex]I_B[/tex] is the intensity of star A and Star B
As per the given value, the intensity ratio of the two stars is :
[tex]I_A/I_B[/tex]=40
So, by using the formula :
[tex]m_B-m_A[/tex]=2.5 log([tex]I_A/I_B[/tex])
=2.5 log (40)
=4.0 magnitudes.
Hence, the magnitude difference between two stars is 4.0 magnitudes.
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In one or two sentences, explain how Rutherford’s model of an atom changed scientific knowledge and describe the evidence that justified the model.(2 points)
From the Rutherford's model of the atom, the electron moves round in orbits as the planets moves round the sun.
What is Rutherford model of the atom?According to the Rutherford's model of the atom, the electron moves round in orbits as the planets moves round the sun. The nucleus is at the focus of concentric ellipses.
This model solved the riddle of the experiment of Rutherford which suggested large positively charged core at the center of the atom and not the large sphere of positive and negative charges as previously opined by Thompson.
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a ball is thrown horizontally from the top of a building 29.8 m high. the ball strikes the ground at a point 48.2 m from the base of the building. the acceleration of gravity is 9.8 m/s 2 . find the time the ball is in motion. answer in units of s.
The ball will be in motion for about 2.44 seconds due to the free-fall.
What do you mean by free-fall?Free fall is any motion of a body in which gravity is the only force acting on it according to Newtonian mechanics. A body in free fall experiences no force according to general relativity, which reduces gravitation to space-time curvature. When something is in "free fall" in a technical sense, it may not necessarily be going down in the traditional sense of the word. Normally, an object traveling upwards might not be thought of as falling, but if it is solely being affected by gravity, it is said to be in free fall. As a result, the Moon is falling freely around the Earth, even if its fast orbital speed keeps it far from the planet's surface.
According to the question:
the ball is in motion for time, t = ?
initial velocity along y direction = 0
along y direction; h = 1/2gt²
from the above equation:
t = √2h/g
t = √(2×29.8)/9.8
t = 2.44seconds
Hence the ball will remain in motion for about 2.44seconds under free fall.
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The vector 2A has
A. twice the magnitude and opposite
direction as vector A.
B. same magnitude and twice the direction
of vector A.
C. twice the magnitude and twice the
direction of vector A.
D. twice the magnitude and the same
direction as vector A.
Answer:
D. Twice the magnitude and the same direction as vector A.
Explanation:
When multiplying a vector by a scalar (a number), the length changes but the direction stays the same.
Therefore, vector 2A is twice the magnitude of vector A, but in the same direction as vector A.
Answer:
D
Explanation:
Here the given vector to us is 2A . Here A is a vector and 2 is a Scalar number. say when you multiply a Scalar x by vector y the magnitude becomes x *y but the direction remains same . as scalar quantities have only magnitude but no direction. Here A is multiplied by 2 so the magnitude becomes 2 times but the direction remains same.
So from the given options option D , twice the magnitude and the same direction as vector A is the correct answer.
when you clicked on the center of the ball to track its vertical (y-direction) motion, what did you notice about the separation between the horizontal segments?
The separation between successive segments first decreased and then increased with time.
What are Vectors?A vector is a quantity or phenomenon with independent properties for both size and direction. The mathematical or geometrical representation of a quantity is another use of the term. Vectors can be found in nature as force, momentum, electromagnetic fields, weight, and velocity. A scalar is a number or phenomenon that just shows magnitude and no discernible direction. Scalars include things like velocity, mass, electrical resistance, and hard disc storage capacity. Weight is the force by the acceleration of gravity g acting on mass m. In mathematics and physics, the term "vector" is used informally to describe some quantities that cannot be described by a single number or by a set of vector space elements.
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The composition and properties of a(n) _______ are always constant throughout a given sample and from sample to sample.
Answer:
object material or a bodie
How to draw wavelength in physics
Wave length photo attachment
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Light can be described in terms of wavelength, or as consisting of small packets of energy called? ions. photons. electrons. pulsars.
Light consisting of small packets of energy called photons
Even though light mostly behaves like a wave, it can also be claimed that it is composed of tiny energy packets called photons. Despite being light and thin, photons are always energetic. The energy of a photon changes with wavelength; longer wavelengths have less energy than shorter ones. Red photons, for instance, have lower energy than blue ones.
Scientists believed that electromagnetic radiation was only made up of waves up until about 1900. Then, Max Planck and others found that some metals and other materials release electrons when exposed to light while studying the photoelectric effect. They believed that more electrons would be released from the metal as brightness or intensity rose.
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A 230 000 v-rms powerline carries an average power pavg = 250 mw a distance of 200 km. if the total resistance of the cables is 10 ohms, what is the resistive power loss?
the resistive power loss is 12 MW(megha watt)
Given One, the ademas voltage is 23, and the average power is stated as 2 50 MW (megha watt). Their average output will be between 15 and 10.06 watts or 2.50 megawatts when they view the entire planet. According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them. As a result, V = RI, where R is the resistance constant. R is dependent on the conductor's dimensions as well as its composition
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How many electrons are there in the antibonding sigma 1s molecular orbital for a he2?
He2's molecular orbital energy-level diagram is shown in figure 3c. Both the 1s bonding and 1s antibonding orbitals must have two electrons for a total of four valence electrons.
What is antibonding molecular orbital?
An antibonding orbital is a form of molecular orbital that, according to the theory of chemical bonding, weakens the chemical link between two atoms while assisting in increasing the energy of the molecule in relation to the separated atoms. Such an orbital has one or more nodes in the area where the nuclei are bonded together. Outside of the bonding zone, where the orbital's electron density is concentrated, one nucleus is drawn away from the other, which tends to generate mutual repulsion between the two atoms. This is in contrast to a bonding molecular orbital, which is in charge of chemical bonds and has a lower energy than that of the individual atoms.
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What must the charge (sign and magnitude) of a 1.48-g particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 n/c ?
= 1.02 x 10^-7 N/C should be the charge (sign and magnitude) of a 1.48-g particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 700 n/c
What is charge?Due to the physical property of electric charge, charged material experiences a force when it is subjected to an electromagnetic field. You might be electrically neutral or positively charged (commonly carried by protons and electrons respectively). While similar charges repel one another, opposite charges attract. A thing that has no net charge is said to be neutral. For problems that do not need taking into account quantum events, classical electrodynamics—the term used to describe early understanding of how charged particles interact—remains accurate. Since the net charge—the total of the positive and negative charges in an isolated system—is an electric charge, it is a conserved property.
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The study of moving charges is a. hydrodynamics b. hydrostatics c. electrodynamics d. el ectrostatics
Answer:
c. Electrodynamics...
The study of moving charges is electrostatics, which is in option e. Electrostatics is the branch of physics that deals with the study of stationary or non-moving electric charges and their interactions. Hence, option e is the correct answer.
Electrostatics is a fundamental branch of electromagnetism, which is a branch of physics that deals with the study of electromagnetic phenomena. Specifically, electrostatics focuses on the behavior of electric charges that are at rest or not in motion. It involves the study of electric charges, electric fields, and the forces that arise between charged objects. Hence, option e is the correct answer.
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A bar magnet is moved through a conducting coil with 50 turns. the rate of change of magnetic flux is 0.03 wb/s. what is the emf induced in the coil?
The EMF induced in coil of the bar magnet with respect to change in flux is calculated as - 1.5 v
Given:
N= 50 turns
change in flux= 0.03 wb/s
emf= - N×[tex]\frac{d}{dt}[/tex]Ф
= - 50×0.03
= - 1.5 v
What is emf in Faraday's law?
Faraday's law describes the magnitude of the voltage (emf), or voltage, induced (generated) during a conductor due to electromagnetic induction (changing magnetic fields). It states that the induced emf during a conducting circuit is proportional to the rate of change of magnetic flux linkage Φ within the circuit.
What is EMF ?
Electromotive force (EMF) is equal to the terminal potential difference when no current flows. EMF and terminal electric potential (V) are both measured in volts, however they're not the same thing. EMF (ϵ) is that the amount of energy (E) provided by the battery to each coulomb of charge (Q) passing through'
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