The efficiency of the heat engine giving heat from a hot reservoir to a cold reservoir is calculated to be 64%.
Given that,
Heat energy absorbed Q₁ = 2310 J
Heat energy released Q₂ = 830 J
The efficiency of the heat engine is given by the formula and putting the values in it we have,
η = [1 - (Q₂/Q₁)] × 100
where, η is efficiency
⇒ [1 - (830/2310)] × 100 = 0.64 × 100 = 64%
Thus, the efficiency of the heat engine giving heat from a hot reservoir to a cold reservoir is calculated to be 64%.
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Newton's Third Law Quick Check 1 of 51 of 5 Items Question A ball bounces on the ground. How do the ball and the ground act on each other
According to Newton's Third Law, the ball and the ground act on each other with equal and opposite forces. When the ball strikes the ground, the ground exerts an upward force on the ball, while the ball exerts an equal and opposite downward force on the ground. This is why the ball bounces off the ground.
Newton's Third Law states that for every action, there is an equal and opposite reaction. This law is often referred to as the law of action and reaction, and it applies to all physical interactions, from the motion of a rocket to the bouncing of a ball. In simplest terms, this law states that when two objects interact, they apply forces to each other of equal magnitude and opposite direction. This means that if object A exerts a force on object B, object B will exert an equal and opposite force on object A.
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why is the radiation so intense in the region that traces io's orbit around jupiter (the io torus)?
The correct solution is D. Gases that are released by volcanoes on lo and get ionized are abundant in the area.
What is I/O?Io, the Solar System's fourth-largest moon, is also the densest, possesses the planet's strongest surface gravity, and has the least water (as determined by its atomic ratio) of any known celestial object. It was discovered in 1610 by Galileo Galilei and was given the name Io after the mythical character of Io, a priest of Hera who subsequently evolved into one of Zeus's lovers.
Describe Orbit.An orbit is the path an one object takes as it travels around another. An object that circles the earth is called a satellite. A natural satellite that resembles the Earth or the luna prospect. Many planets include moons as satellites in its orbit. Another possibility is a man-made satellite, like the International Space Station.
The planets, asteroids, comets, and other astronomical objects in the solar system all orbit the sun. Most objects in the solar system move along or extremely close to a hypothetical flat surface. This fictitious plane is known as the ecliptic plane.
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The correct Question is :
Why is the radiation so intense in the region that traces Io's orbit around Jupiter (the Io torus)?
A) Io's gravity allows this region to capture huge numbers of charged particles from the solar wind.
B) An orbital resonance between Io, Europa, and Ganymede makes the radiation intense.
C) Jupiter's strong magnetic field makes the radiation intense everywhere, and the region around Io is no different than any other region.
D) The region is full of gases that become ionized after they are released from volcanoes on lo.
How do you calculate latent heat of ice?
Q = mL, which is the necessary specific latent heat of the fusion equation, is the formula for the specific latent heat of fusion.
What is the equation to determine latent heat?Consequently, we can state that a material's particular latent heat (L) is: The quantity (Q) of heat energy that is released or absorbed per mass (m) during a phase shift is measured. It is described by the equation Q = mL.
What does latent heat have to offer?Ice melts at a constant temperature of 0 °C (32 °F), and the liquid water that is created by the latent heat of fusion is also at this temperature. At 0 °C, the heat of fusion for water is equivalent to 334 joules (79.7 calories).
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The formula for the specific latent heat of fusion is Q = mL, where Q is the required specific latent heat of the fusion equation.
The quantity (Q) of heat energy that is emitted or absorbed per mass (m) during a phase shift is measured, and this is how we may define a material's specific latent heat (L): It can be explained using the formula Q = mL. Ice melts and the liquid water produced by the latent heat of fusion both occur at a constant temperature of 0 °C (32 °F). The heat of fusion for water at absolute zero is 334 joules (79.7 calories). The formula for the specific latent heat of fusion is Q = mL, where Q is the required specific latent heat of the fusion equation.
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when a drawn bow of potential energy 40 j is fired, the arrow will ideally have a kinetic energy
When a drawn bow of potential energy 40 joules is fired, ideally the arrow will have a kinetic energy of 40 joules.
Energy that is stored in an object and is yet to be used by the object is known as potential energy. When the object moves, it gains kinetic energy. Kinetic energy is the energy acquired from the motion of an object.
There is also what is known as mechanical energy, which is the sum of the potential energy and the kinetic energy. Ideally, especially in a closed system, the potential energy of an object is equal to the kinetic energy of the object.
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A baseball pitcher throws a pitch at a speed of 90 mph. The baseball has a mass of 0.15 kg and a radius of 0.03 m. Calculate the angular momentum of the baseball.
The angular momentum of the baseball is 0.18 kgm²/s.
What is the angular momentum of the baseball?
The angular momentum of the baseball is calculated by applying the following kinematic equation as shown below.
Mathematically, the formula for the angular momentum of the baseball is calculated as;
L = mvr
where;
m is the mass of the baseball = 0.15 kgv is the velocity of the baseball = 90 mph = 40.23 m/sr is the radius of the baseball = 0.03 mThe angular momentum of the baseball is calculated as;
L = 0.15 kg x 40.23 m/s x 0.03 m
L = 0.18 kgm²/s
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j. state of matter
k.
group.
1. period
m. type of element
n. addition of one proton and electron changes it to_
o. addition of two neutrons changes it to
p. a loss of one electron changes it to
q. When is sodium a neutral atom? Why?
Sodium is present as a solid pellet which on exposure turn liquid present in group 1 and period 3 ,addition of one proton and electron changes it to sodium anion and addition of two neutrons changes the mass number and loss of an electron forms sodium cation and sodium with 1 valence electron is neutral atom.
What is an atom?
An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.
Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.
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0.43 kg What is the weight
Answer: 4.214 N
Explanation: Given Mass = .43kg
Weight = mxa ...........(On earth a= 9.8 m/s2)
so .43X 9.8 = 4.214 N
as SI unit of weight if N
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A man walks for some time 't' with velocity(v) due east. Then he walks for same time 't' with velocity (v) due north. The average velocity of the man is
A man walks for some time 't' with velocity(v) due east. Then he walks for same time 't' with velocity (v) due north. The average velocity of the man is v/√2 meter per seconds. Thus, the correct option is D.
What is Velocity?Velocity can be defined as the direction of the movement of the body or an object. Velocity is essentially a vector quantity because it has both the direction and magnitude. It is the rate of change of displacement.
Displacement, S = OB = [tex]\sqrt{(OA)^{2}+ (AB)^{2}}[/tex]
S = [tex]\sqrt{(vt)^{2} + (vt)^{2} }[/tex]
S = [tex]\sqrt{2}[/tex]vt m/s
Total time, T = 2t
Average velocity, Vavg = S/T
Vavg = [tex]\sqrt{2}[/tex]vt/2t
Vavg = v/[tex]\sqrt{2}[/tex]m/s
Therefore, the Vavg of the man is v/√2m/s.
Therefore, the correct option is D.
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Your question is incomplete, most probably the complete question is:
A man walks for some time 't' with velocity(v) due east. Then he walks for same time 't' with velocity (v) due north. The average velocity of the man is
A. 2v
B. √2 v
C. v
D. v/√2
What is the entropy change when 1 mole of oxygen gas expands isothermally and reversibly from an initial volume of 10 Litre 200 Litre at 300 Kelvin?
When 1 mole of oxygen gas expands isothermally and reversibly from an initial volume of 10L to 200L at 300Kelvin the entropy change is 24.8J/K
Given number of moles of oxygen gas (n) = 1
Initial volume (V1) = 10L
Final Volume (V2) = 200L
Temperature (T) = 300K
The gas expands isothermally. The isothermal reversible process's change in entropy is given as: △S = 2.303nRlogV2/V1 where R = 8.314
So △S = 2.303 x 1 x 8.314 x log200/10 = 24.8J/K
d T = 0 for an isothermal process. Both reversible and irreversible isothermal reactions are possible. The system's change in entropy when it transitions from state A to state B must be calculated.
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When 1 mole of oxygen gas expands isothermally and reversibly from an initial volume of 10L to 200L at 300 Kelvin, the entropy change is 24.89 J/K.
Given number of moles of oxygen gas (n) = 1
Initial volume (V₁) = 10 L
Final Volume (V₂) = 200 L
Temperature (T) = 300 K
The entropy change when gas expands isothermally is given as,
ΔS = nR ln(Vf / Vi) = 2.303 n R log(Vf / Vi)
After entering the values into the formula above, we have
ΔS = 2.303 n R log(Vf / V i) = 2.303 × 1 × 8.314 × log (200/10) = 24.89 J/K.
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Which object has kinetic energy?
balloon rising in the sky
bowling ball on a rack
water stored in a tank
tutor resting on a long
Answer:
(Question) A city gets its electricity from a dam, where water is stored in a reservoir. How does the water provide the city with its power?
(Answer) Potential energy in the water becomes kinetic energy as it moves through turbines, which turn kinetic energy into mechanical energy that spins a generator, which changes mechanical energy into electricity.
(Question) An acorn rolls off a roof and falls to the ground. Which statement best describes the change in energy?
(Answer) The acorn’s potential energy decreases as its kinetic energy increases.
(Question) An airplane carries 320 passengers from Phoenix to Los Angeles flying at an average speed of 490 miles per hour. On the return flight, the plane carries 164 passengers and travels at the same average speed. What happens to the plane’s kinetic energy?
(Answer) On the return flight, the plane has less kinetic energy.
(Question) A racehorse is running at 42 miles per hour, equivalent to 18.8 meters per second. The horse and its jockey have a combined mass of 512 kilograms. How much kinetic energy do they have?
(Answer) 90,480.6 J
(Question) Which object has kinetic energy?
(Answer) balloon rising in the sky
(Question) Mr. Starr pushed a cart full of groceries to his car. After emptying the cart, he pushed it back to the store. He pushed the cart at a speed of 2 meters per second each way. Which is the best prediction?
(Answer) When it was empty, the cart had less kinetic energy.
(Question) A student fires a toy rocket into the sky. When does the rocket have the most potential energy?
(Answer) when the rocket reaches its highest point
(Question) What is the best description of one billiard ball hitting a second billiard ball?
(Answer) Most of the kinetic energy in the first ball is transferred to the second ball.
(Question) A roller-coaster car is at the top of a hill. The car and its passengers have a combined mass of 1,088 kilograms. If the hill is 62 meters tall, how much potential energy does the car have?
(Answer) 661,068.8 J
(Question) A roller-coaster is at the top of a 62-meter hill. The car and its passengers have a total mass of 1,088 kilograms. By the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). How much kinetic energy does the car have at the bottom of the hill?
(Answer) 592,416 J
(Question) A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?
(Answer) when the swing is pulled back prior to release
(Question) essay
(Answer) good luck
(Question) essay
(Answer) good luck
Explanation:
I just did this assignment UwU
A person slaps her leg with her hand, bringing her hand to rest in 2.50 milliseconds from an initial speed of 4.00 m/s. (a) What is the average force exerted on the leg, taking the effective mass of the hand and forearm to be 1.50 kg
(a)The average force exerted on the leg, taking the effective mass of the hand and forearm to be 1.50 kg will be 2400N
(b) Yes the force be any different if the woman clapped her hands together at the same speed and brought them to rest at the same time
(a) Mass (m) = 1.5kg,
initial speed (v) = 4m/s,
time (t) = 2.5milliseconds = 2.5/1000 = 0.0025seconds
F =[tex]\frac{mv}{t}[/tex]
= (1.5×4)0.0025
= 6/0.0025
F= 2400N
So the force will be 2400N
(b) The force would be different because the mass of the two hands and forearms is 3kg
(2 × 1.5kg = 3kg)
Your question is incomplete most probably your full question was
A person slaps her leg with her hand, bringing her hand to rest in 2.50 milliseconds from an initial speed of 4.00 m/s.
(a) What is the average force exerted on the leg, taking the effective mass of the hand and forearm to be 1.50 kg?
(b) Would the force be any different if the woman clapped her hands together at the same speed and brought them to rest at the same time? Explain why or why not.
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John is driving at a constant speed of 40 miles per hour. How long does it take him to travel 50 miles? make sure to convert the answer into hours and minutes.
Answer:
1 hour and 15 minutes
Explanation:
50 miles divided by 40MPH = 1.25 hours = 1 hour and 15 minutes.
A 20.0 kg suitcase is raised 3.0 m straight up above a platform on a conveyor belt that is moving at constant velocity. How much work is done on the suitcase
A 20.0 kg suitcase is raised 3.0 m. The work done on the suitcase is 588 Joule
We can calculate work done in an object using the formula:
W = F x d
where:
W = work done on the object
F = force acted on the object
d = distance
The direction of the force that does the work should be the same with the direction of the displacement or the motion.
Work done can also be seen as the change of potential energy.
W = Δ PE
= m. g Δh
In this problem,
m = mass of the suitcase = 20 kg
g = gravitational acceleration = 9.8 m/s²
Δh = 3 m
Hence, the work done in the suitcase:
W = m. g Δh
= 20 x 9.8 x 3
= 588 Joule
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Where did H4 go to on its proving mission to finally accurately tell time at sea?
William Harrison traveled to Jamaica to test the H4 or "sea watch," the fourth-generation clock. Apparently, the Royal Museums Greenwich determined that the marine watch passed the test.
William Harrison went to Jamaica to test the fourth-generation clock, known as the "sea watch" or H4. It appears that the marine watch passed the test, according to the Royal Museums Greenwich. Since they were still not ready to declare him the winner, the Board of Longitude planned another test run, this time to Barbados, against two teams using methods that relied on astronomy rather than timepieces.
The watch was precise, but the Board of Longitude truly desired a "practical solution," according to scientific historian Jim Bennett in a blog article published by Oxford University Press. That required increasing watch manufacture on a larger scale, which would be difficult for such a meticulously designed product. Therefore, the Board decided to give Harrison a $10,000 portion of the prize.
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How do you calculate work done in isothermal expansion of an ideal gas?
The change in the system's net heat content is what generates the work in an isothermal operation. The change in an adiabatic process' internal energy is what causes the work to be done.
The work done w = 0 as P=0 when an ideal gas is subjected to isothermal expansion (T = 0) in vacuum. Joule established q = 0 empirically; hence, U = 0. Isothermal reversible change can be stated as: q = -w = P for both reversible and irreversible changes (Vf-Vi). The following are the steps to determine the work involved in an ideal gas's isothermal expansion:
Identify the proportion between the gas's final and starting quantities. Calculate the temperature of the gas, its number of moles, and, if necessary, convert it to Kelvin. The work equation for isothermal processes is now W = -nRTln(V2/V1).
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The change in the system's net heat content is what generates the work in an isothermal operation. The change in an adiabatic process' internal energy is what causes the work to be done.
The work done w = 0 as P = 0 when an ideal gas is subjected to isothermal expansion (T = 0) in vacuum. Joule established q = 0 empirically; Hence, U = 0. Isothermal reversible change can be stated as: q = -w = P for both reversible and irreversible changes (Vf-Vi). The following are the steps to determine the work involved in an ideal gas's isothermal expansion:
Identifying the proportion between the gas's final and starting quantities. Calculating the temperature of the gas, its number of moles, and, if necessary, converting it to Kelvin. The work equation for isothermal processes is now W = -nRT ln(V₂/V₁).
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Two people carry identical 40.0N boxes up the ramp. The ramp is 2.00m long and 1.00m high. Person A walks up the ramp in 2.00s. Person B walks up the ramp in 4.00s. What is the difference in power the two people use to carry the boxes up the ramp
The difference in power for two people carrying the boxes up the ramp is 30 W.
Given the following data:
W = 40.0 N is the weight of a box.
The ramp's length is L = 2.00 m.
The platform height is h = 1.0 m.
t = 2.0 s is the time interval for the first person.
t' = 4.0 s is the time interval for the other person.
Power is the rate at which energy is used. The expression for the Power is given in the given question as,
P = W×(L+h)/t
Assume that you are solving for the first person.
P₁ = W(L+h)/t₁.................................................................. (1)
Substitute the following values into equation (1):
P₁ = 40(2+1)/2
P₁ = 20(3) (3)
P₁ = 60 W.
Regarding the second person,
P₂ = W(L+h)/t₂..................................................................... (2)
Fill in the blanks in equation (2) as follows:
P₂ = 40(2+1)/4
P₂ = 10*(3) *3)
P₂ = 30 W
Obtaining the difference in power as
P = P₁ - P₂
P = 60-30
P = 30 W
As a result, we can conclude that the difference in power for two people carrying the boxes up the ramp is 30 W.
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suppose a photon has a frequency of 300 million hertz (300 megahertz). what is its wavelength?
The wavelength of a photon whose frequency is specified is calculated to be 1 m.
We know the relation between frequency, wavelength and speed of light as,
ν = c / λ
where,
c is the peed of light in m/s
λ is wavelength in m
ν is frequency in hz
Given that,
Frequency ν = 300 million hertz = 300 × 10⁶ hz
To find wavelength, let us make wavelength as subject,
λ = c / ν = (3 × 10⁸)/(300 × 10⁶) = 1 m
Thus, the wavelength of a photon whose frequency is specified is calculated to be 1 m.
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A 20 N crate is held at rest on an incline by a rope that is parallel to the incline as shown on the figure to the right. The incline is 30° above the horizontal. The coefficient of static friction, us, between the crate and the incline is 0.35. 10 a) Draw two free body diagrams for the forces acting on the crate. In the first, indicate the forces pointing along the ramp and in the second, indicate the forces pointing perpendicular to the ramp b) Rank all forces acting on the crate from largest to smallest. c) Write down two separate equations for Newton's second law with static friction: one for forces pointing along the ramp and one for forces pointing perpendicular to the ramp. Do some forces appear in only one of the Newton's law equations? For forces that have some component in both, make sure you break down those force vectors correctly in the equation.
(a,i) Force acting in opposite direction; (a,ii) The tension force acting in the direction of rope. (b) Normal force, Tension force, Friction force, Force of gravity. (c,1) friction = us*N; (c,2) Force = 0.
(a) 1. For the force pointing along the ramp:
The force of gravity acting downwards (mg)
The normal force acting upwards (N)
The force of static friction acting in the opposite direction of the motion (friction)
(a) 2. For the forces pointing perpendicular to the ramp:
The force of gravity acting downwards (mg)
The normal force acting upwards (N)
The tension force acting in the direction of the rope (T)
b) Largest to smallest:
1. Normal force
2. Tension force
3. Friction force
4. Force of gravity
c) 1. For forces pointing along the ramp: f = friction = us * N
2. For forces pointing perpendicular to the ramp: T - mgsin(30) = ma = 0
The force of gravity appears in both equations and the tension force only appears in the equation for forces pointing perpendicular to the ramp. It is important to note that the force of friction is always pointing opposite to the direction of motion, the force of gravity is always pointing downwards and the normal force is always perpendicular to the surface.
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A coin is thrown horizontally from the top edge of a vertical building with a speed of 10 m/s. It falls half the height of the building in the last second of its fall.
The coin falls a total of 19.6 meters.
If the coin falls half the height of the building in the last second of its fall, that means it falls for a total of 2 seconds. The coin is thrown horizontally from the top of the building, so its initial vertical velocity is 0 m/s. The acceleration due to gravity is 9.8 m/s^2.
We can use the following equation to find the distance the coin falls:
distance = (initial velocity * time) + (1/2 * acceleration * time^2)
Plugging in the values given in the problem, we get:
distance = (0 * 2s) + (1/2 * 9.8 m/s^2 * 2s^2)
This simplifies to:
distance = 19.6 meters
So the coin falls a total of 19.6 meters.
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Which planet has an orbital period of 365 days?
Answer:
Earth
Explanation:
the force of electrostatics between two equal separated by a distance of 3cm is 3.6N find out the magnitude of the carges? (k=10^9Nm^2/c^2)
The amount of charge of two charged objects separated by 3 cm and exerting 3.6N force is 0.057×10^-3
How to calculate charge?Coulomb's law states that the equation of force between point charges is 0.057 10 -3.
F=(q1q)^2/4πϵ0r^2
Force, F=3.6N
The charges are the same, q1=q2=q.
r=3 cm = 0.03 m
K= 1/4πϵ0= 10^9Nm^2/c^2
3.6 = q^2 / 109 (0.03)^2
q^2=0.00324 10 ^-9
q= 0.057 10^-3
Coulomb's inverse-square law, sometimes known as Coulomb's law, is a physical experiment that measures the amount of force between two stationary, electrically charged particles. The electric force that exists between two charged things at rest is known as electrostatic force or Coulomb force.
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What will happen to the part of the light passing into the glass when the light from air hits a smooth piece of glass with the ray perpendicular to the glass surface?
The part of the light passing into the glass will be refracted, meaning it will bend as it enters the glass and change direction. Depending on the angle of incidence, some of the light may also be reflected off the surface of the glass.
Light traveling through air behaves differently than light traveling through glass. When light from air hits a smooth piece of glass with the ray perpendicular to the glass surface, the light is refracted as it enters the glass due to the difference in the optical properties of air and glass.
The change in the optical properties of air and glass causes the light to bend and change direction. Depending on the angle of incidence, some of the light may also be reflected off the surface of the glass. This phenomenon is known as total internal reflection and is what causes the light to appear to be bent when it passes through a glass surface.
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What is the total circuit resistance of three heat strips wired in parallel if each strip has a resistance of 12
The total circuit resistance of three heat strips wired in parallel would be 4 ohms.
Electrical resistance is a measure of the opposition to the flow of electric current through a material. It is defined as the ratio of the voltage across a conductor to the current flowing through it. The resistance of a conductor is determined by its composition, cross-sectional area, and length, and it is expressed in ohms (Ω).
If you have three heat strips that each have a resistance of 12 ohms and you wire them in parallel, the total circuit resistance will be:
1/Rt = 1/R1 + 1/R2 + 1/R3
Substituting the values for R1, R2, and R3:
1/Rt = 1/12 + 1/12 + 1/12
1/Rt = 3/12
Rt = 12/3
Rt = 4 ohms
Therefore the total circuit resistance is 4 ohms.
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the ground-state electron configuration of ________ is [ar]4s13d5. A) V B) Mn C) Fe D) Cr E) K
Answer:
D) Cr
Explanation:
I think its Cr because this is the weird exception. Instead of 4s2 3d4, it likes to half fill all the subshells since that way its more stable otherwise one of the subshells in d would be totally empty.
________ is the maximum load of solid particles a stream can transport per unit time.
"Capacity is the maximum load of solid particles a stream can transport per unit time."
The maximum solid load that a stream can carry is known as its capacity. Both the discharge and the velocity are factors.
A stream's capacity refers to the most amount of sediment it can carry. The capacity of a stream directly relates to the discharge; the more water flowing through it, the more silt it can transport.
In addition to fine clay and silt particles that are suspended in the water, streams also carry bed loads of coarse sands and gravels. Only when the flow is turbulence-filled will fine particles stay suspended. Particles that are suspended in a laminar flow will gradually fall to the bed.
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a high-frequency sound source produces a high
O amplitude
O speed
O pitch
O all of these
O none of these
The frequency at which the sound waves that create a sound vibrate determines its pitch. High-frequency waves generate high-pitched sounds, whereas low-frequency waves generate low-pitched sounds.
What does a high frequency sound source emit?Ultrasound is a kind of sound with frequencies more than 20,000 Hz. Ultrasound is inaudible to the human ear because it occurs at frequencies that are too high.
Which noise is more frequent?Low pitch sounds are associated with low frequency sound waves, and high pitch sounds are associated with high frequency sound waves. As a result, sounds with frequencies of about 3000 Hz are regarded as high pitch.
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A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If elizabeth grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now?.
The side of the house will the ladder reaches now will be 21.4 feet(rounded to the nearest tenth)
To determine how far the ladder originally was from the wall, use the Pythagorean theorem:
Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and hypotenuse c.
x = sqrt(30^2 - 24^2)
x = sqrt(900-576) (900-576)
x = sqrt (324)
x = 18
Initially, the ladder was 18 feet away from the wall. The new distance is 18 + 3 = 21 feet after moving the ladder back 3 feet.
To get the new height of the ladder, apply the Pythagorean theorem once more.
Height is equal to sqrt(30 - 2).
Height = squared (900 - 441)
Height = squared (459)
Size = 21.42
21.4 feet, rounded to the nearest tenth.
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A 2kg ball accelerates downward at 9.8m/s^2. How long does it take to reach a speed of 29.4m/s?
The time for the ball to reach the final velocity is 3 seconds.
What is the time for the ball to reach the final velocity?
The time for the ball to reach the final velocity is calculated by applying first kinematic equation as shown below.
v = u + gt
where;
v is the final velocity of the ballu is the initial velocity of the ballg is acceleration due to gravityThe time for the ball to reach the final velocity is calculated as;
v = 0 + gt
v = gt
t = v / g
t = ( 29.4 m/s ) / ( 9.8 m/s² )
t = 3 seconds
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Why have astronomers found more Jupiter-sized planets at a distance of 1 AU around other stars than Earth-sized planets using the radial velocity method
The reason astronomers found more Jupiter-sized planets than Earth-sized planets using the radial velocity method is because radial velocity method is more sensitive to detecting larger planets that are more massive.
The radial velocity method is more sensitive to detecting larger planets that are more massive, because gravitational pull of a more massive planet will have a greater effect on the star it is orbiting, causing the star to move more in its orbit. This results in a larger radial velocity signal, which is easier to detect.
In contrast, Earth-sized planets are much less massive and have a weaker gravitational pull, resulting in a smaller radial velocity signal that is more difficult to detect.
Additionally, the radial velocity method is more sensitive to detecting planets that are closer to their star, because the gravitational pull of the planet will have a greater effect on the star when the planet is closer. As a result, it is more likely to find Jupiter-sized planets at a distance of 1 AU around other stars than Earth-sized planets using the radial velocity method.
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what is meant by resolution of a vector
A vector's resolution is the splitting of a single vector into two or more vectors in different directions that together produce the same effect as a single vector. Component vectors are the vectors formed after splitting.
In general, we divide a vector into three components:
component along the x-axis (x-component), component along the y-axis (y-component), and component along the z-axis (z-component).example:
For vector resolution, a vector can be resolved into many different vectors. Consider the following example: Take two numbers, say 4 and 6, and add them together to get 10. Furthermore, 10 is now broken or resolved. However, the number 10 can also be broken down into many other numbers, such as -10 = 5 + 5; 10 = 3 + 7, and so on.
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