The value of v₁ and v₂ is 10V and -10V respectively. This is because of Kirchoff's law. The potential is distributed in the gap and node and the potential is distributed.
The potential difference (which is the same as voltage) is equal to the amount of current multiplied by the resistance. A potential difference of one Volt is equal to one Joule of energy being used by one Coulomb of charge when it flows between two points in a circuit. **Ammeters: **An ammeter measures the flow of current that passes through it. the potential of any cell or battery is the difference between the positive and negative terminal through the terminal difference. by this primary information, we can firmly conclude that the value of v₁ and v₂ is 10V and -10V respectively. This is because of Kirchoff's law. The potential is distributed in the gap and node and the potential is distributed.
Determine v₁ and v₂ in the circuit
A. 3 ohm
B. 10 ohm
C. -10 ohm
D. 20 ohm
E. 2 ohm
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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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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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a 2 kg block starts at rest and is slides down a ramp from a height of 3 meters above the ground and reaches the ground with a kinetic energy of 50 j. determine the total work done by friction on the block as it slides down the ramp and explain what has happened to some of the gravitational potential energy
The total work done by friction on the block (2 kg block starts at rest and is slides down a ramp from a height of 3.0 meters above the ground and reaches the ground with a kinetic energy of 50 J) as it slides down the ramp = 44 J (option 4)
When an external force is applied to a system in a such that one of the components of the force is parallel to the displacement of the system, mechanical energy—the sum of kinetic and potential energy—is transported into or out of the system. Work is the term for the activity of transferring energy.
The change in the block's mechanical energy is what is known as the work done by friction;
ΔME = W
KE - PE = W
(50 - (2 x 3) = W
W = 50 - 6
= 44 J
The question is incomplete, it should be:
A 2.0-kilogram block sliding down a ramp from a height of 3.0 meters above the ground reaches the ground with a kinetic energy of 50 Joules. The total work done by friction on the block as it slides down the ramp is approximately
(1) 6 J
(2) 9 J
(3) 18 J
(4) 44 J
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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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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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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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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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8.10 an engine of the orbital maneuvering system (oms) on a space shuttle exerts a force of (26,700 n)1 for 3.90 s, exhausting a negligible mass of fuel relative to the 95,000-kg mass of the shut- tle. a) what is the impulse of the force for this 3.90 s? b) what is the shuttle's
The impulse of the force for this 3.90 s is 104130 kg.m/s. the orbital maneuvering system (oms) on a space shuttle exerts a force of (26,700 n)1 for 3.90 s.
What is the impulse of the force?If the force is constant, the resulting force, F, and the length of this force, t, are multiplied to form the impulse of force. Changes in motion and subsequently changes in momentum are caused by the impulse of force.
What do you mean by impulse?a sudden, spontaneous propensity or invitation to some often irrational conduct. an inclination or inherent tendency that is typically illogical. an excitement pulse that travels through tissues, in particular nerve fibers and muscles, and causes physiological activity or inhibition by looking at nerve impulses.
Given:
(a) Force ∑F = 26700 N
Time interval Δt = 3.90 s
The impulse of force J = ∑F.Δt
The impulse of force J = 26700*3.90
The impulse of force J = 104130 Kg.m/s
(b) To find the change in momentum of the shuttle caused by this impulse, we can use the equation:
Δp = mΔv = Impulse
where Δp is the change in momentum, m is the mass of the shuttle (95,000 kg), and Δv is the change in velocity.
By using impulse equation we can find the change in velocity of the shuttle.
Δv = Impulse / m
= 104,130 Ns / 95,000 kg
= 1.096 m/s
You can plug in the value and find the change in velocity of the shuttle
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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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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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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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For which of the regions shown in the figure is the observed effect the strongest? Region B Region CThe observed effect is the same for all three regions Region A
A region. Since Region A has the most severe temperatures and the most dramatic changes in temperature over time, the observed effect is largest there.
How does temperature work?
Temperatures describe how hot or cold something is to a specific degree. Both Celsius and Fahrenheit are frequently used units of measurement, with Celsius being the more popular one.
With typical temperatures between -40 and 40 degrees Celsius, temperatures can fluctuate from extremely cold to extremely hot. Numerous variables, such as height, latitude, and closeness to the water, can influence temperature. It is crucial to be aware of the temperature in a specific place before going because various climates might experience drastically varying temperatures.
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Note the complete question could be as bellow,
For which of the regions shown in the figure is the observed effect the strongest? O Region B O Region CO The observed effect is the same for all three regions O Region A
An object is projected vertically upwards With a velocity of 200m/s.Calculate:i) It's velocity after 5 seconds
Answer:
v=150m/s
Explanation:
given
u=200m/s
t=5s
g=10m/s^2
required
v=?
solution
v=u-gt
v=200-(10)(5)
v=200-50
v=150m/s
A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer radius r2=2r1 (see the figure (Figure 1)). At the center of the sphere is a point charge +Q/2. Plot V as a function of r from r=0 to r=2r2. Assume V0=3Q8πϵ0r2.
The graph V as a function of r determines the potential of charge at different radius. This instructs how to estimate the charge-related electric field strength.
What is the hollow sphere's net charge?There won't be any net charge within the Gaussian surface if we suppose any imaginary sphere inside the charged sphere. So, Σq = 0 . So, the net flux is equal to 0. Consequently, a hollow sphere has no electric field inside of it.
Where is the charge on a conducting hollow sphere?The entire charge will be on the periphery of a conducting hollow sphere, and the electric field strength within the conducting sphere will be zero. The entire charge will reside on the shell's outside in the case of a spherical shell, and there will be no interior field as well.
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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.
a 65-kg astronaut pushes against the inside back wall of a 2000-kg spaceship and moves toward the front. her speed increases from 0 to 1.6 m/s. (a) if her push lasts 0.30 s, what is the average force that the astronaut exerts on the wall of the spaceship? (b) if the spaceship was initially at rest, with what speed does it recoil? (c) what was the ob
The average force an astronaut applies to the spacecraft's wall is 346.7 N, or impulse 104.
Is the difference between average and net force?Average force refers to a force that changes over time and is not constant. It provides an more or less typically delivered that can be used to determine the other factors connected to it. On the contrary hand, net force describes all of the forces acting on the object.
Can average force have a negative value?Simply put, yes is the response to the question Can force be negative. A vector quantity, force depends on both its magnitude and its direction. Just the direction is indicated by the negative sign. An object's mass and acceleration are produced by the force.
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you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.
you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.
Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.
To calculate the pressure at a depth of 10.9 ft below the surface of the water, you would use the formula for pressure due to a fluid: P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid above the point of measurement.In this case, the density of the water is 61.0 lbm/ft^3, the acceleration due to gravity is 32.2 ft/s^2. So the pressure at a depth of 10.9 ft is: P = (61.0 lbm/ft^3)(32.2 ft/s^2)(10.9 ft) = 2088.82 lbf/ft^2 or 1461.9 psiIt's important to note that the pressure underwater increases by 1 atmosphere or 14.7 psi (or 14.7 lbf/in^2 or 101,325 Pa) for every 33 ft of depth, this means that you have to add the atmospheric pressure (13.9 psi) to the pressure calculated above. Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.
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The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 11.5 g nail when it is struck by a 557 g hammer moving with a speed of 4.36 m/s.
The kinetic energy acquired by the nail is: 91.5 J.
What is kinetic energy?Kinetic energy is a form of energy that is associated with the motion of an object. It is the energy of a body or a system due to its motion. It is represented by the symbol K and is calculated by multiplying half of the object's mass with its velocity squared. Kinetic energy is always greater than zero and is equal to the amount of work needed to accelerate the body from its initial velocity to its final velocity.
The kinetic energy acquired by the nail when it is struck by the hammer can be estimated using the equation
KE = (1/2) mv^2
where m is the mass of the nail and v is the speed of the hammer.
In this case, m = 11.5 g and v = 4.36 m/s.
Therefore, the kinetic energy acquired by the nail is:
KE = (1/2) * 11.5 g * (4.36 m/s)^2
= 91.5 J.
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Michael walked his dog on a leash every morning and afternoon. One morning, his dog saw a squirrel and started to dash after it. Michael held the leash
more firmly and pulled back slightly so the dog could not run after the squirrel.
What is this an example of?
O A First Law of Motion, because an action is stronger than the force
OB. Second Law of Motion, because it is a change in the force and mass
OC. Third Law of Motion, because it is an equal and opposite reaction
O D. Law of Universal Gravitation, because it is a change in inertia
Michael pulled back the leash so that the dog could not run after the squirrel is an example of first law of motion because it is an action which is stronger than the force. Thus, the correct option is A.
What is the first law of motion?Newton's first law of motion is also known as the law of inertia. It states that an object at rest will remain at rest and an object in motion will remain in motion with the same speed and direction unless and until it is acted upon by an unbalanced external force.
An external force can be defined as the change in the mechanical energy of the object which is either the kinetic energy of the object or the potential energy present in an object. These forces are caused through the external agents. Examples of external forces include friction, normal force, and air resistance.
Therefore, the correct option is A.
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the temperature of the surface of the sun is 5800 k. what would be the surface temperature of a star that emits twice the energy flux (watts per square meter) that the sun emits?
The surface temperature of a star that emits twice the energy flux of the Sun would be 6900k.
What is energy?
Energy is the ability to do work. It can be found in a variety of forms, including thermal energy, kinetic energy, chemical energy, electrical energy, sound energy, and light energy. All of these forms of energy can be converted into other forms. Thermal energy is energy from heat, such as energy from a fire or from the sun.
Kinetic energy is the energy of movement, such as energy from a moving vehicle. Chemical energy is the energy stored in chemical bonds between atoms in a molecule. Electrical energy is energy from the movement of electrons, such as energy from a battery.
Given data:
Sun's temperature(Tsun) = 5800K
Energy flux of a star(Jstar) = 2J
Since,
Jstar/Jsun = T4sun/T4star
= 2 = (Tsun/Tstar)4
Tstar = T(2)[tex]^{1/4}[/tex]
= 5800 × 1.1897
= 6900k
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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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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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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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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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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
a proton p and an electron e are released simultaneously on opposite sides of an evacuated area between large, charged parallel plates, as shown above. each particle is accelerated toward the oppositely charged plate. the particles are far enough apart so that they do not affect each other. which particle has the greater kinetic energy upon reaching the oppositely charged plate?
The preceding statement indicates that neither particle is right because their kinetic energies are equal.
Describe kinetic energy?A particles or a thing that is motion produces some form of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the energy transfer, is made on it by exerting a net force. Explain that a moving object's mass and speed are two elements that impact the amount of kinetic energy it will possess.
Since the same potential difference is causing the acceleration of both particles (e and p), As KE=qV, where q is the same for electrons and protons, both have the same kinetic energy. The answer is (c), thus.
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The complete question is-
A proton p and an electron e are released simultaneously on opposite sides of an evacuated area between large, charged parallel plates, as shown above. Each particle is accelerated toward the oppositely charged plate. The particles are far enough apart so that they do not affect each other. Which particle has the greater kinetic energy upon reaching the oppositely charged plate?
a). The electron.
b). The proton.
c). Neither particle, both kinetic energies are same.
d). It cannot be determined without knowing the amount of charges on the plates.
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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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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a bear spies some honey and it takes off from rest accelerating at a rate of 2.0m/s2. if the honey is 16m away, how fast will his snout be going when the bear reaches the honey?
The bear's snout will be traveling at 32 m/s when it reaches the honey.
What is honey?
Honey is a sweet and viscous liquid produced by bees, as well as other species of insects. It is composed primarily of sugars, but also contains trace amounts of enzymes, minerals, vitamins, and amino acids. It has been used for centuries as a food source and for its medicinal properties.
Honey has been used to treat coughs, colds, digestive issues, and topically to treat wounds, burns, and skin problems. Honey also has antioxidant, anti-inflammatory, and antiseptic properties. Its antibacterial properties make it a popular choice for wound care, and its antifungal properties can help to fight off fungal infections.
The bear's snout will be traveling at 32 m/s when it reaches the honey.
This is because acceleration is the rate of change of velocity,
which means that if an object accelerates at a rate = 2.0 m/s2
its velocity will increase by 2.0 m/s each second.
Therefore, if the bear accelerates at a rate of 2.0 m/s2 for 16 seconds, it will have a velocity of 32 m/s by the end of that time.
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angular and linear speeds the circular blade on a saw rotates at 5000 revolutions per minute. (a) find the angular speed of the blade in radians per minute. (b) the blade has a diameter of inches. find the linear speed of a blade tip.
The angular speed of the blade in radians per minute is 31,416 rad/min. angular and linear speeds the circular blade on a saw rotates at 5000 revolutions per minute.
With diameter and linear speed, how do you calculate angular speed?If r is an object's radius, v is its linear speed and is its angular velocity in radians per unit of time, then v = r. This formula connects these three values so that we can always determine the third if we know the first two.
What is the linear speed formula?Thus, the angular speed times the r-dimensional distance equals the linear speed of a point on the object. The unit of measurement is meters per second and meters per second. where = the rate in radians per second.
(a) To find the angular speed of the blade in radians per minute, we can use the formula:
angular speed (rad/min) = 2 * pi * (revolutions per minute)
angular speed (rad/min) = 2 * pi * 5000 revolutions per minute
= 31,416 rad/min
(b) To find the linear speed of a blade tip, we can use the formula:
linear speed (inches/min) = (diameter of the blade) * (angular speed (rad/min))
linear speed (inches/min) = (diameter) * (angular speed (rad/min))
= (diameter) * (31,416 rad/min)
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