Electric field is a physical field occupied by a charged particle on another particle in its surrounding. It is denoted by E. It is an invisible field.
a) Yes, an object with charge q experiences force from an electric field of intensity E. This force still acts even when the item is stationary because, as we can see, it is independent of the speed of the object.
b) No, the magnetic force produced by an object with charge q and speed v is equal to the magnetic force produced by an object with charge q and speed v in a magnetic field of intensity of B.
c) The electric force is still very strong. Point (a) shows that the electric force is still present and unaffected by the charge's speed.
d) The magnetic force F is no longer zero because the object is now moving at a specific speed v.
e) The answer is that the electric field does exert a force on the charges moving along the wire because it does so constantly to a charge.
f) Because a magnetic field always exerts a force on a moving charge, the charges flowing through the wire are being affected by the magnetic field. This is because the current in the wire is made up of charges travelling at a constant v.
g) Since an electric field exerts force and electrons have an electric charge, this argument makes sense. As a result, an electric charge and, by extension, an electron beam are always under the influence of an electric field.
h) The magnetic force is constant since the speed of the electrons in the beam is constant (v). V is not equal to zero, hence the magnetic field is not zero either.
As a result, an object with charge q experiences a force from an electric field of intensity E. This force still acts even when the item is stationary because, as we can see, it is independent of the speed of the object.
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A +3.0 nC charge is at x = 0 cm and a -1.0 nC charge is at x = 4 cm. At what point or points on the x-axis is the electric potential zero?
The value of electric potential will be zero at 3 centimetres from x = 0 centimetres.
The formula to be used for calculation is -
V = 1/k((q/r)i + (q/r)f), where V represents voltage or electric potential, k is constant, (q/r)i is initial charge and radius and (q/r)f I'd second charge and radius. Taking the V to be zero, we will calculate the value of x.
V = 1/k (3/x + (-1/(x-4)))
Keep the value of electric potential as zero
0 = 1/k (3/x + (-1/(x-4)))
k will also become 0. Rewriting the equation
3/x = -1/x-4
3(x - 4) = -1×x
3x - 12 = -x
Rewriting the equation
3x + x = 12
4x = 12
x = 12/4
Performing division on Right Hand Side of the equation
x = 3
Thus, at 0 the value of V will be zero.
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Calculate the adiabatic flame temperature attained when methane at 298k, is combusted (a) with oxygen in the molar ratio air/CH4 = 9.524. Assume that CO2 and H2O are the products of the combustion. The adiabatic flame temperature is that temperature reached if all of the heat of the oxidation reaction is used to increase the temperature of the products of the reaction. Air is 21 molar percent O2 and 79 molar percent N2.
Adiabatic flame temperature of approximately 2300 K or 2027 °C
To calculate the adiabatic flame temperature, we need to know the heat of combustion of the fuel and the specific heat of the products of the combustion.
The heat of combustion of methane (CH4) is -890 kJ/mol. The balanced equation for the combustion of methane with oxygen is:
CH4 + 2O2 -> CO2 + 2H2O + heat
The molar ratio of air/CH4 = 9.524, which means that for every 1 mole of CH4, 9.524 moles of air are used. Since air is 21% O2 and 79% N2, the number of moles of O2 in 9.524 moles of air is (0.21) * (9.524) = 2.00 moles.
The number of moles of CO2 and H2O produced in the combustion of 1 mole of CH4 with 2 moles of O2 is 1 mole and 2 moles respectively
The adiabatic flame temperature is calculated using the equation:
ΔH / (ΔnCp) = ΔT
where ΔH is the heat of combustion of the fuel, Δn is the change in the number of moles of the products, and Cp is the specific heat of the products at constant pressure.
The specific heat of CO2 and H2O are 0.846 and 4.18 J/mol·K respectively.
ΔT = (-890 kJ/mol) / ((1+2) * (0.846 + 2*4.18) J/mol·K)
This gives an adiabatic flame temperature of approximately 2300 K or 2027 °C. This temperature is the highest temperature reached at the flame front when all the heat of combustion is used to raise the temperature of the products and no heat is lost to the surroundings.
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T/F When reducing a system of parallel, non-concurrent forces acting on a body to a single resultant force, the line of action (LOA) of the resultant force does not have to pass through the body.
It is true that When reducing a system of parallel, non-concurrent forces acting on a body to a single resultant force, the line of action (LOA) of the resultant force .
What does physics define as a force?IAny action that aims to maintain, modify, or transform a body's motion is considered a force in mechanics. Isaac Newton ’s second laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force (1687).
Why is force necessary?An immobile body can be made to move. A moving body can either be stopped or slowed down by it.Along altering its size and shape, it can alter the direction of such a moving body as well.
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A wheel with 16 spokes rotating in the clockwise direction is photographed on film, The film is passed through a projector at the rate of 24 frames/s, which is the proper rate for the projector. On the screen, however, the wheel appears to rotate counterclockwise at 4.0 rev/min, Find the smallest possible angular speed at which the wheel was rotating.
The film is projected at 24 frames per second, which is the correct pace for the projector on the screen, yet the wheel appears to move at 4.0 revolutions per minute, which is anticlockwise.
How can I determine the smallest angular speed?The smallest angular velocity is found to be g/R by balancing the centripetal and gravitational forces with the normal reaction. This is how you can determine the smallest angular speed.
What is the minimum speed formula?Calculate the vertical circular motion's radius (in meters) and the centripetal acceleration (in meters per second squared) that gravity causes. Using the, get the object's top-of-the-circle speed, which is its lowest speed.
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A 0.98 kg ball is placed on a vertical 55.71 N/m spring that is compressed 43.14 cm. When the spring is released, how high above its starting point will the ball go?
Answer:
F = - K X
X = .4314 m compression of spring
F = 55.71 N/m * .4314 m = 24.03 N force to compress spring
E = 1/2 K X^2 energy of compressed spring
E = 1/2 55.71 N / m * (.4314 m)^2 = 5.184 Joules energy of spring
1/2 M V^2 = E energy imparted to ball
V = (2 E / M)^1/2 = 3.25 m/s max speed of ball
M g H = 1/2 M V^2 calculate height of ball after release
H = E / (M g) height above spring
H = 5.184 / (.98 * 9.80) = .540 m height to which ball rises
.540 + .4314 = .972 m height above compression point
Rank the following ionic compounds by the magnitude of their lattice energy. Rank from highest to lowest magnitude of lattice energy. Highest magnitude to Lowest Magnitude LiCl, MgO, Na2O, BeO, Na2s b) Given the following thermodynamic data, calculate the lattice energy of CaBr2(s). Term Value (kJ/mol) delta H degree f[CaBr2(s)] -675 delta H degree f[Ca(g)] 179 delta H degree f[Br(g)] 112 I1(Ca) 590. I2(Ca) 1145 E(Br) -325 Express your answer as an integer, and include the appropriate units.
BeO, MgO, Na2O, Na2S, and LiCl are the ionic compounds in order of something like the magnitude of intrinsic lattice energy.
What is an example of magnitude?Because something's size indicates its magnitude. For example, a car moves faster than a cyclist in the sense of speed. In this instance, the speed differential between truck and indeed the bike is higher. By expressing an entity's true or approximative size of direction of movement, it creates the impression that the thing is moving.
In what unit is the magnitude expressed?In order to depict the power of a force, units are created by multiplying mass times breadth times time squared. The thomas (N), which is comparable to one kilograms equals one meters across one square metre, is the most commonly used unit of metric measurements.
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a particle has a constant acceleration of 6.0 m/s2. (a) if its initial velocity is 2.0 m/s, at what time is its displacement 5.0 m? (b) what is its velocity at that time?
The velocity of the particle at the time when its displacement is 5.0 m is 8.0 m/s.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position. It is measured in units of distance per time, such as meters per second (m/s) or miles per hour (mph). Velocity is composed of both a magnitude (or speed) and a direction.
(a) To find the time at which the displacement is 5.0 m, we can use the equation:
d = v_0*t + (1/2)at^2
where d is the displacement, v_0 is the initial velocity, t is the time, and a is the acceleration.
Given:
d = 5.0 m
v_0 = 2.0 m/s
a = 6.0 m/s^2
Rearranging the equation to solve for time:
t = (d - v_0t)/(1/2a)
5.0 = 2.0*t + (1/2)6.0t^2
5.0 = 2.0t + 3.0t^2
Solving for t:
t = 1.0 s
(b) To find the velocity at time t, we can use the equation:
v = v_0 + a*t
Given:
v_0 = 2.0 m/s
a = 6.0 m/s^2
t = 1.0 s
Plugging in the given values:
v = 2.0 + 6.0*1.0
v = 8.0 m/s
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Cyclonic airflow is characterized by:
As said, cyclonic airflow is characterized by convergence at the surface and divergence above.
Why does cyclonic wind exist?In the Northern Hemisphere, surface winds of cyclones blow anticlockwise, whereas, in the Southern Hemisphere, they blow clockwise. Cyclones are named for the way their winds swirl in a circle around their obvious center eye. The Coriolis effect explains why the flow of blood is going in the opposite direction.
In terms of geography, what is cyclonic?Any significant wind storm that moves clockwise to the south of the equator and anticlockwise to the north and revolves around a low-pressure center is called a cyclone.
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aluminum has a density of 2.70 g cm-3. if a sheet of aluminum foil measuring 17.7 centimeters in length and 21.2 centimeters in width has a mass of 2.925 kilograms, what is the thickness of the foil in millimeters?
That aluminum has a mass of 2.70 g.
What is Density?
The density of a material substance is its mass in relation to its volume.
A common unit of measurement for density is grammes per cubic centimetre. In kilogrammes per cubic metre, density can also be expressed (in metre-kilogram-second or SI units). For example, the weight of air is 1.2 pounds per cubic metre. The usual solids, liquids, and gases' densities are listed in textbooks and manuals. Density is a simple tool for determining the relationship between mass and volume; for instance, the mass of a body is equal to its volume multiplied by the density
The density of a substance tells you the mass of exactly one unit of volume of said substance.
In your case, aluminium is said to have a density of
density Al=2.70 g.cm−3
This tells you that every 1 mL of aluminum has a mass of 2.70 g.
All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimeters of aluminium to grams
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If you want to start a fire using sunlight, which kind of mirror would be most efficient? a concave mirror a plane mirror a convex mirror any type of plane, concave, or convex mirror It is not possible to start a fire using sunlight and a mirror; you must use a convex lens.
The mirror that will be used in the fire extinguisher will be concave mirror.
What is a concave mirror?When the concave mirror is exposed to the sun,all incident rays are converged to the focal point hence, energy radiated is focussed at a single point, hence paper burns, when it is kept at the focal point.
What type of image is formed by concave mirror?The real image formed only due to the concave mirror.this happens only if the object distance is greater than the focal length of the mirror.
real image, inverted image
when the object is placed at center of curvature, Image is formed at center of curvature, Image is inverted, image is real.
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A game of pocket billiards begins when the white ball, called the cue ball, is rolled toward a
set of 15 numbered balls arranged in a triangle. let the set of 16 balls in the game represent a
system, and let p equal the momentum of the cue ball. what is the momentum of the system
just after the cue ball strikes the numbered balls? assume that friction and other
nonconservative forces are negligible.
momentum sphere is a compact, psychological game used in stick sports like pool, snooker, and carom billiards. the quantity, kind, size, hue, and design of the balls.
Whereas if cue ball flies off the table, what happens?Every time a stroke causes the ball actually or just about any object ball to leap off the table in a game of pocket billiard, the stroke is indeed a foul. While all balls have stopped, all leapt object balls can be seen (apart from 8 and 9-Ball).
In a set, number of times cue balls are there?One white ball actually and fifteen colored, numbered balls make up a set of billiard balls. The balls with the numbers 1 through 8 and 9 through 15 are all solid colors.are white with such a colored band in the middle. The balls have a diameter of 52.5mm and are colored und numbered as follows: 1 and 9 in yellow.
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If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? It doubles. It becomes squareroot 2 times as large. It becomes half as large. It becomes 1/squareroot 2 times as large. It remains the same.
Answer: It becomes [tex]\frac{1}{\sqrt{2} }[/tex] times the original.
Explanation:
Frequency (f)
Length (l)
Gravitational acceleration (g)
f=[tex]\frac{1}{2\pi }[/tex][tex]\sqrt{\frac{g}{l} }[/tex]
Therefore f is indirectly proportional to [tex]\sqrt{l}[/tex].
So, when the length is doubled the frequency becomes [tex]\frac{1}{\sqrt{2} }[/tex] times the original frequency.
Calculate the maximum deceleration of a car that is heading down a 12 degree slope (one that makes an angle of 12 degree with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the static coefficient of friction is involved-that is, the tires are not allowed to slip during the deceleration.
a) On dry concrete, acceleration on incline plane with friction for a body going down is given as -7.55 m/s².
b) On wet concrete, acceleration on incline plane with friction for a body going down is given as -4.67 m/s².
c) On ice, acceleration on incline plane with friction for a body going down is given as 1.08 m/s².
What is acceleration explained?Acceleration is the rate at which the speed and direction of a moving object change over time. When a point or object moves faster or slower in a straight line, it is said to be accelerated. Even though the speed is constant, motion on a circle accelerates because the direction is constantly shifting.
a) On dry concrete = µ = 1
Acceleration on incline plane with friction for a body going down is given as
a = g Sin12 - µg Sin12
a = 9.8 Sin12 - 1 x 9.8 cos12
a = -7.55 m/s²
b) On wet concrete, µ = 0.7
Acceleration on incline plane with friction for a body going down is given as
a = g Sin12 - µg Sin12
a = 9.8 Sin12 - 0.7 x 9.8 cos12
a = -4.67 m/s²
c) On ice, µ = 0.1
Acceleration on incline plane with friction for a body going down is given as
a = g Sin12 - µg Sin12
a = 9.8 Sin12 - 0.1 x 9.8 cos12
a = 1.08 m/s².
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Complete question is attached below.
What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?A pendulum has a period of 1.53 s on Earth.
The period on Mars is calculated to be 2.51 s when the acceleration of gravity on Mars is given.
Given that,
Gravitational acceleration on Earth = 9.8 m/s²
Acceleration due to gravity on Mars = 0.37 g = 0.37 × 9.8 = 3.626 m/s²
Time period of pendulum on Earth = 1.53 s
We know the expression for time period as, T = 2π √(L/g)
Comparing the accelerations and time periods on both the planets, we have,
T e : T m = 2π √(L/g e) : 2π √(L/g m)
T e : T m = 1/√g e : 1/√g m
T e : T m = √g m : √g e
1.53 : T m = √0.37 g : √g
1.53 : T m = √0.37
T m = 1.53 : √0.37 = 1.53 : 0.61 = 2.51 s
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A. For a sine function with amplitude A=0.75 and period T=10, what is y(4)?
B.For a cosine function with amplitude A=0.75 and period T=10, what is y(4)?
The cosine and sine functions of y(4) are, respectively, 0.033 and 0.042 when A = 0.75. Maximum particle movement is the definition of a sound wave's amplitude.
A sound wave's frequency is determined by how many vibrations it makes per second. 2016-08-05. Accessed 30 June 2022. A sound wave's amplitude can be used to measure its height. A wave is an energetic perturbation of a medium without net particle motion. Elastic deformation, changes in pressure, alterations in the strength of the electric or magnetic fields, modifications in the electric potential, or adjustments in temperature could all be signs of it. The cosine and sine functions of y(4) are, respectively, 0.033 and 0.042 when A = 0.75.
Y(4) = 0.75SIN(4*PI/5), which is 0.75(0.044) = 0.033, is the equation.
The formula for Y(4) is 0.75COS (PI/4*4) = 0.75(0.044) = 0.042.
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kevin is sliding a 2kg box of bananas across the floor with a force of 10n. a frictional force of 6n is opposing kevins applied force. find the acceleration of the box
The acceleration of the box is 2m/s².
What is acceleration?Acceleration is the rate at which an object's velocity with respect to time changes. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration.
How to find the acceleration of the box?To find the acceleration of the box, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
The net force acting on the box is the force applied by Kevin (10 N) minus the frictional force (6 N), which is 4 N. Therefore, the acceleration of the box is:
acceleration = (net force) / (mass)
= (4 N) / (2 kg)
= 2 m/s²
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36kg of a solid was heated from 75°C to 80°c by 337207. Calculate the heat capacity of the solid
Answer:
Heat capacity = (337207 J) / (5°C) = 67440.4 J/°C
Explanation:
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A football is kicked straight up into the air; it hits the ground 4.6s later. What was the greatest height reached by the ball? Assume it is kicked from ground level. With what speed did it leave the kicker's foot?
A. The ball can reach up to a height of 25.921 meters.
B. The speed required to leave the kicker's foot is 22.54m/s.
How would you define velocity ?A particle or object moves with respect to time when moving at a certain speed, which is expressed vectorially as velocity. Meters per second (m/s) is the commonly used unit for measuring velocity magnitude, also known as speed.
Given information,
Time of flight (T) = 4.6s
Time required to reach the greatest height (t) = ?
T = 2t
4.6 = 2 × t
Divide both side by 2
t = 4.6/2
t = 2.3s
A. Determination of the greatest height.
Time required to reach the greatest height (t) = 2.3 s
Gravitational acceleration (g) is 9.8 m/s².
Greatest height (h) is?
h = ½gt²
h = ½ × 9.8 × 2.3²
h = 25.921 m
B. Determination of the initial velocity.
Greatest height (h) = 25.921m
Gravitational acceleration (g) is 9.8 m/s²
Final velocity (v) = 0
Initial velocity (u) = ?
v² = u² – 2gh
0² = u² – (2 × 9.8 × 25.921)
0 = u² – 508.0516
0 + 508.0516 = u²
508.0516 = u²
u = √508.0516
u = 22.54 m/s.
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30 J of work are done in 15 seconds to push a bowl of fruit horizontally. What was the power delivered completing this task?
Answer:
Explanation:
The power delivered completing this task can be calculated using the formula Power = Work/Time. In this case, the power is equal to 30 J/15 s, which simplifies to 2 J/s. This can also be expressed as 2 Watts (W).
Important Formulas:
[tex]p=\dfrac{w}{t}[/tex]
power(measured in watts) = work(measured in joules) / time(measured in seconds)
__________________________________________________________
Given:
[tex]w=30J[/tex]
[tex]t=15s[/tex]
[tex]p=?[/tex]
__________________________________________________________
Finding power:
[tex]p=\dfrac{w}{t}[/tex]
[tex]p=\dfrac{30}{15}[/tex]
__________________________________________________________
[tex]\fbox{p = 2 watts}[/tex]
what is the magnitude of the net gravitational force fgrav on the mass at the origin due to the other two masses? take the gravitational constant to be g
At the origin, there is a resultant force equal 0.00396 N acting on the item.
What does a magnitude mean in physics?Magnitude simply refers to distance or quantity in physics. It displays an object's size, direction, or speed, whether relative or absolute. It is used to indicate the size or scope of something. In physics, the term magnitude often denotes to an amount or size.
What does the magnitude of a vector signify?A vector's magnitude is determined by its length. The magnitude of the vector is denoted by the letter a. See the introduction to vectors for more details on a vector's magnitude. In both and three dimensions, the length of vectors can be calculated using formulas based on their coordinates.
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Suppose that the Sun were to collapse under its own gravitational pull. To what radius would it have to be reduced in order for the escape velocity to be equal the speed of light, 3.00×10^8 m/s? The mass of the Sun is 2.00×10^30 kg and G = 6.67×10^−11 N⋅m^2/kg^2.A) 2.96 kmB) 1.48 kmC) 1.52 kmD) 2.10 kmE) None of the other choices is correct.
The mass of the body, and r is its radius. Plugging in the given values of G, M and v_esc, we get r are 1.48 km.
What is radius?Radius is a straight line extending from the center of a circle to its circumference. It is the distance from the center to any point on the circumference and is also equal to half of the diameter. The radius is a fundamental measurement used in geometry, and it is used to calculate the area and circumference of a circle. It is also used in many other shapes such as ellipses and spheres. In three-dimensional space, the radius of a sphere is the distance from its center to its surface.
The escape velocity of a body can be calculated using the equation v_esc = sqrt((2GM)/r), where G is the gravitational constant, M is the mass of the body, and r is its radius.
Plugging in the given values of G, M and v_esc, we get r = (2GM)/(v_esc^2) = (2*6.67e-11*2.00e30)/(3.00e8)^2 = 1.48 km.
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n general, ? is the ability of the equipment to withstand a certain magnitude of available fault current at a specific voltage in conjunction with an ocpd without becoming a hazard external to its enclosure.
Short Circuit Current Rating(SCCR) is the ability of a certain equipment to withstand a certain magnitude of electric current at a specific voltage during a short circuiting.
Short circuit is that when a neutral wire comes in contact with a current carrying live wire. During short circuiting, the current in the conductor suddenly gets increased due to the very low resistance. We know by Ohm's law that for a constant potential difference(V), the current(I) is inversely proportion to the resistance(R).
V = I/R
So when resistance becomes very low, the current becomes very high causing the spark, or high heat in the wire or the equipment. SCCR is the rating of equipment that can withstand a certain magnitude of current.
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a system undergoes a two-step process. in the first step, the internal energy of the system increases by 228 j when 166 j of work is done on the system. in the second step, the internal energy of the system increases by 115 j when 177 j of work is done on the system. for the overall process, find the heat. what type of process is the overall process? explain.
1) Q total = 0J
2) Since there has been no net heat exchange, the entire system is cooling.
From where do we get our energy?In accordance with the U.S. Energy Statistics Management, coal, nuclear power, and natural gas made up the majority of the country's electrical generation in 2020. Renewable energy sources like wind, hydropower, solar, biomass, breezes, and geothermal are also used to generate electricity.
According to the first law of thermodynamics
ΔE = Q - W
where ΔE= change in internal energy , Q = heat and W= work done by the system to the surroundings
in the first step
Q1 = ΔE + W = 228 J + (-166 J) = 62 J
in the second step
Q2 = ΔE + W = 115 J + (- 177 J) = -62J
the total heat is
Q total = Q1 +Q2 = 62 J + (-62J) = 0
since the total heat exchanged is 0, the overall process is a cooling process .
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The particles of a substance can have kinetic energy (KE) and potential
energy (PE). Which equation best summarizes the internal energy (U) of the
substance?
A. U = KEtranslation + KEvibration + KErotation - PEintermolecular forces
B. U= PEtranslation + PEvibration + PErotation + KEintermolecular forces
C. U = KEtranslation + KEvibration + KErotation + PEintermolecular forces
D. U= PEtranslation + PEvibration + PErotation - KEintermolecular forces
The equation that best summarizes the internal energy (U) of a substance that has both kinetic and potential energy is
U = Σ(KEn) + Σ(PEn).
What is Internal energy ?A substance's internal energy is the sum of the kinetic and potential energies of all of its constituent particles.
This inquiry asks if a substance's particles can contain both kinetic energy (KE) and potential energy (PE).
This means that the internal energy is the sum of the kinetic energy and potential energy of all the particles in the substance.
Therefore, equation that best summarizes the internal energy (U) of a substance that has both kinetic and potential energy is U = Σ(KEn) + Σ(PEn).
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19. which experimental evidence most clearly supports the suggestion that electrons have wave properties?
To give the experimental proof for matter's wave particle duality electron diffraction studies conducted by G.P. Thomson in 1926 and C. Davisson and L. H. Germen in 1927 verified the correctness of de Broglie's hypothesis.
Early research on the characteristics of electrons did not indicate that any unique behavior should be anticipated. Everything suggested that the electron is a very modest mass particle. In a tool like a Wilson cloud chamber, the electron's path may be tracked. Similar to this, an obstruction put in the path of an electron beam created by running current between two electrodes in a glass tube with partial air evacuation will cause the electron beam to cast the shadow of the object.
The determination of the electron's mass and charge, in addition, provided additional proof of its nature as a particle. De Broglie made the recommendation to do the electron diffraction experiment. De Broglie predicted a connection between the "particle" and "wave" aspects of light in 1923. If there are particles in a stream like light, they must have momentum.
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what is the average acceleration of the horse that slows down from 39.2 mi/h to rest in 8.1 s. express the result in si units.
The average acceleration of the horse is a = - 4.84 m/s².
What is Force?Force is defined as the product of mass of the body and the acceleration with which it is moving. Mathematically → F = maIt is a vector quantity. In the three dimensional coordinate system, the force vector can be resolved as → {F} = F{x} a{x} + F{y} a{y} + F{z} a{z} Mathematically, we can also write force as → F = ma = m(dv/dt)Given is that the horse slows down from 39.2 mi/h to rest in 8.1 s.
We can write the average acceleration as -
a = (0 - 39.2)/8.1
a = - 39.2/8.1
a = - 4.84 m/s²
Therefore, the average acceleration of the horse is a = - 4.84 m/s².
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An airplane accelerates down a runway at 9. 50 m/s ^ 2 for 29. 8 s until it finally lifts off the ground. Determine the distance traveled before take-off. Assume the airplane starts from rest
The distance traveled before take-off is 3,465.62 meters, Assume the airplane starts from rest. The airplane accelerates down a runway at 9.50 m/s^2.
What is the formula used to calculate the distance in physics?The formula used to calculate the distance in physics is distance = initial velocity x time + (1/2) x acceleration x time^2. This formula assumes constant acceleration.
How can we determine this?To determine the distance traveled before take-off, we can use the equation for distance, which is distance = initial velocity x time + (1/2) x acceleration x time^2. Since the airplane starts from rest, the initial velocity is 0. Plugging in the values given, we have:
distance = 0 x 29.8 + (1/2) x 9.50 x (29.8)^2
distance = (1/2) x 9.50 x (29.8)^2
distance = (1/2) x 9.50 x 893.24
distance = 3,465.62 m
So the distance traveled before take-off is 3,465.62 meters.
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17. / a small glass bead has been charged to +20 nc. what are the
ini magnitude and direction of the acceleration of (a) a proton and (b) an electron that is 1.0 cm from the center of the head?
For a proton: The magnitude of the acceleration will be 20 N/C in the direction of the center of the bead. This is due to the fact that the proton is positively charged and will be attracted to the bead's positive charge.
What is acceleration?Acceleration is the rate of change of velocity. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the rate at which an object's velocity changes over time, and can be calculated by dividing the change in velocity (delta v) by the time interval (delta t). Acceleration can be caused by a variety of different factors, such as a change in direction, a change in speed, or the application of a force.
For an electron:
The magnitude of the acceleration will be 20 N/C in the direction away from the center of the bead. This is due to the fact that the electron is negatively charged and will be repelled away from the bead's positive charge.
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For a proton: The magnitude of the acceleration will be 20 N/C in the direction of the center of the bead. This is due to the fact that the proton is positively charged and will be attracted to the bead's positive charge.
a. Acceleration of proton: 1.72 x 10¹⁴ m/s² away from bead
b. an electron that is 1.0 cm from the center of the head: 3.16 x 10¹⁷ m/s²
What is acceleration?Acceleration is the rate of change of velocity. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the rate at which an object's velocity changes over time, and can be calculated by dividing the change in velocity (Δv) by the time interval (Δt). Acceleration can be caused by a variety of different factors, such as a change in direction, a change in speed, or the application of a force.
electric field due to charge is given by:
E = kq/r²
E = (9x10⁹)(20x10⁻⁹)/(10⁻²)²
E = 1.8x10⁶ N/C
Force on both electron and proton:
F = qE = 1.6x10⁻¹⁹( 1.8x10⁶ )
F = 2.88x10⁻¹³ N
Acceleration of electron = F/m
Ae = 2.88x10⁻¹³/(9.11x10⁻³¹)
Ae = 3.16x10¹⁷ m/s² towards the bead
Acceleration of proton= 2.88x10⁻³/(1.67x10⁻²⁷)
Ap = 1.72x10¹⁴ m/s² away from bead
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you have 9 balls. 1 is heavier than the other 8. using a balance scale, how would you identify the heaviest ball in as few steps as possible?
From the nine total balls, three groups of three balls each should be created. We compare the relative weight of the two groups. It should then be clear which group is heavier.
Because it will either tip the scales or keep them level. The group you excluded is then involved. The most common definition of weight in basic physics textbooks is the gravitational force exerted on a body. The formula W = mg, which stands for weight, object mass, and gravitational acceleration, is widely used to express this. Mass is a physics term for a quantitative measure of inertia, a fundamental property of all matter. It basically refers to the resistance a body of matter shows to a change in speed.
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a flywheel is turned on and attains an angular speed of 45 revolutions per minute in just 4.10 s. find its angular acceleration.
A flywheel accelerates angularly at 11 rev/min2, reaching 45 revolutions per minute in about 4.10 seconds after being turned on. In physics, "angular acceleration" refers to the speed.
Changes in angular velocity. Since spin angular velocity and orbital angular velocity are two different forms of angular velocity, respectively, there are two different types of angular acceleration. Spin angular acceleration and orbital angular acceleration are the names for these. Because there is no directional component, speed must be a scalar variable. The average speed in physics can be calculated by dividing the total distance travelled by the total amount of time.
Initial angular acceleration = 0 rev/min
Final angular acceleration = 42 rev/sec 45 = + alpha *4.10 alpha = 45/4.10 = 11 rev/min
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