Carbocations are organic species which contain a positive charge on a carbon atom. They are classified based on their degree of stability. Carbocations are categorized into primary, secondary, and tertiary carbocations based on the number of carbon atoms adjacent to the carbocationic carbon.
There is a direct relationship between carbocation stability and the number of carbon atoms adjacent to the carbocationic carbon (tertiary carbocations are the most stable followed by secondary carbocations and then primary carbocations).
Given below is the correct ranking of stability for the carbocations a-d, from lowest to highest:a > b > d > c Explanation: a: Primary carbocation b: Primary carbocation c: Secondary carbocation d: Tertiary carbocation The stability of a carbocation is directly proportional to the number of carbon atoms surrounding it.
Hence, tertiary carbocations are the most stable followed by secondary and then primary carbocations. Therefore, the correct ranking of stability for the carbocations a-d, from lowest to highest is a > b > d > c.
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Kieran ran 8 laps of the track in 18 minutes. Jevon ran 6 laps of the track. Who had a greater average speed
Kieran had a greater average speed than Jevon. Let us go into more detail in the explanation below. To compare the average speeds of Kieran and Jevon, we need to find out the speed of each person.
We can use the formula speed = distance/time. Kieran ran 8 laps in 18 minutes, which means he ran 8/18 = 0.44 laps per minute. To find out Kieran's speed, we need to multiply this by the length of one lap. If we assume that the length of one lap is 400 meters, then Kieran's speed is:0.44 laps per minute × 400 meters per lap = 176 meters per minute Jevon ran 6 laps of the track, but we don't know how long it took him.
Therefore, we can't calculate his speed directly. However, we can still compare his speed to Kieran's by using ratios. If we assume that Jevon ran the same length of track as Kieran, then we can write the following equation: Kieran's speed/Jevon's speed = Jevon's time/Kieran's time.
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Concentric Hollow Spheres Derive an expression for the capacitance of two concentric hollow spherical conductors of radii r and R. What value do you get for the capacitance when r = 4.75 m and R = 41.09 m?
The capacitance of two concentric hollow spherical conductors of radii 4.75 m and 41.09 m is 1.32 × 10^-9 F.
The capacitance of two concentric hollow spherical conductors can be derived using Gauss's law and the definition of capacitance. Gauss's law states that the electric flux through any closed surface is proportional to the charge enclosed within the surface.
For a spherical conductor of radius r, the electric field at any point inside the conductor is zero. Therefore, the charge on the inner conductor must equal the charge on the outer conductor, and the electric field outside the outer conductor is the same as that of a point charge at the center of the outer conductor.
The capacitance of the system is defined as the ratio of the charge on either conductor to the potential difference between them. For two concentric hollow spheres, the capacitance can be derived as:
C = 4πε₀\(\frac{Rr}{R - r}\)
where ε₀ is the permittivity of free space.
Substituting the given values of r = 4.75 m and R = 41.09 m, we get:
C = 4πε₀\([\frac{41.09 m \times 4.75}{41.09 m - 4.75} ]\)
Using the value of ε₀ = 8.85 × 10^-12 F/m, we can calculate the capacitance:
C = 1.32 × 10^-9 F
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assume an inductor is connected to a 180-v ac line and the inductor has an induced voltage of 120 v. how many volts are there to push current through the wire resistance of the coil?
Assuming an inductor is connected to a 180-v ac line and the inductor has an induced voltage of 120 v, there are 60 volts available to push the current through the wire resistance of the coil.
To determine the voltage that pushes the current through the wire resistance of the coil, you'll need to consider the voltage across the inductor and the applied voltage from the AC line. Given that the induced voltage across the inductor is 120 V and the AC line voltage is 180 V, you can calculate the voltage across the wire resistance by using the formula:
Voltage across wire resistance = AC line voltage - Induced voltage across the inductor
Voltage across wire resistance = 180 V - 120 V = 60 V
So, there are 60 volts available to push the current through the wire resistance of the coil.
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Se aplican dos fuerzas concurrentes a un objeto de 4N a la derecha y 5N a la izquierda. ¿Hacia donde se movió y con cuanta fuerza?
The forces move strongly towards the left by 1N
Given the following
Force towards the right = 4N
Force towards the left = 5N
Note that the force acting towards the left is negative, hence the force acting towards the left is -5N
Take the sum of force
Resultant force = -5N + 4N
Resultant force = -1N
This shows that the forces move strongly towards the left by 1N
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What is a direct result of having greenhouse gases in the atmosphere?
Answer:
Well this is tough. I'm not sure but you are smart and can push through it. YOU DONT need the someone telling you the answer when it is inside you.
hope this helps p
equivalently a dose of 100% of that permitted by the standard, integrating all sound levels from 90 dba to at least 140 dba.
In this case, it is integrating all sound levels from 90 dB(A) to at least 140 dB(A). It signifies that the person has reached the limit of what is considered safe and may be at risk of hearing damage.
To understand this concept, it's important to know that sound levels are measured in decibels (dB). The "A" weighting is commonly used to measure sound in relation to human hearing. A sound level of 90 dB(A) is considered very loud, while 140 dB(A) is extremely loud, like a jet engine or a gunshot. When it comes to exposure to noise, there are standards that dictate the maximum allowed dose.
The dose is a measure of how much sound energy a person is exposed to over a certain period of time. It takes into account the sound level and the duration of exposure. If a person is exposed to a dose of 100% of what is permitted by the standard, it means they have reached the maximum allowed level of exposure. This is significant because prolonged exposure to high levels of noise can cause hearing damage.
In conclusion, a dose of 100% of the permitted standard integrating sound levels from 90 dB(A) to at least 140 dB(A) indicates the maximum allowed level of sound exposure.
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NEED HELP FROM SCIENCE GENIUS !! POINTS WILL BE GIVEN AND DO GIVE ME A DECENT ANSWER !!!
Explanation:
because there is amblens name
Find the unit vectors that are parallel to the tangent line to the parabola at the point
At the coordinates (2, 4), the unit vector (I + 4j)/17 is parallel to the line tangent to the parabola
y = x2.
The resultant vector of A and B is the sum of vectors A and B. Hence this is the unit vector parallel to the resultant vector AB
What is a Unit vector ?Vectors with a magnitude of exactly one unit are known as unit vectors. For a variety of reasons, they are really helpful. Specifically, any other vector can be formed by combining the unit vectors [0,1] and [1,0].
These unit vectors are frequently used to denote direction, with the magnitude being provided via a scalar coefficient. The sum of unit vectors and scalar coefficients can then be used to represent a vector decomposition. Finding the vector parallel to V with a unit length given a vector V is a possible problem to think about.Learn more about Unit vector here:
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how do braces protect you while doing sports
Answer:
they don't, if you get hit in the face then the brackets are gonna rub up against the inside of your mouth then you'll bleed
Explanation:
Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy
The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.
What is the process of sublimation in carbon dioxide?During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.
As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.
Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.
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Using the data in the image Construct a velocity-time graph using your data. You may use various methods to draw this graph: tangents, use of the kinematics equations to find the velocity at any time since the acceleration is constant, or close analysis of the data tables. Draw the line of best fit. Calculate the slope of the line. What does the slope represent?
Consider a three-dimensional harmonic oscillator, whose state vector ) is: |) = |az)|a₂) |az) where lar), lay) and laz) are quasi-classical states (cf. Complement Gy) for one- dimensional harmonic oscillators moving along Ox, Oy and Oz, respectively. Let L = Rx P be the orbital angular momentum of the three-dimensional oscillator. a. Prove: (L₂) = iħ (aza-aαv) AL₂ = √/la1² + |a₂|² and the analogous expressions for the components of L along Or and Oy. b. We now assume that: {Lz) = (Ly) =0, (L₂) = Ali> 0 Show that a must be zero. We then fix the value of A. Show that, in order to minimize ALT + ALy, we must choose: ag = -iαy = eivo V₂ (where po is an arbitrary real number). Do the expressions AL.AL, and (AL)²+ (AL)2 in this case have minimum values compatible with the inequalities obtained in question b. of the preceding exercise? c. Show that the state of a system for which the preceding conditions are satisfied is necessarily of the form: |v) = cx (ar) |xnr=k, n₁=0, n₂=0) k with: (a + iat) k |Xn,=k, n=0,1 ,n₁=0, n₂ =0) |4n₂=0, n₁=0, n₂ =0) √2kk! ak Ck (α) e-la/²/2 = √k! ; ar = ¹0 √ (the results of Complement Gy and of § 4 of Complement Dyi can be used). Show that the angular dependence of Xn, k, n=0, n.-0) is (sin ei)k. L2 is measured on a system in the state ). Show that the probabilities of the various possible results are given by a Poisson distribution. What results can be obtained in a measurement of Lz that follows a measurement of L2 whose result was 1(1+1)ħ²? =
This is a multi-part question involving a three-dimensional harmonic oscillator and its angular momentum.
a. The orbital angular momentum operator `L` can be written in terms of the position and momentum operators as `L = r x p`. The squared magnitude of the angular momentum is given by `L^2 = Lx^2 + Ly^2 + Lz^2`. The `z` component of the angular momentum can be written as `Lz = xp_y - yp_x`, where `p_x` and `p_y` are the momentum operators along the `x` and `y` directions, respectively.
Since the state vector `|ψ⟩` is given as a product of quasi-classical states for one-dimensional harmonic oscillators along each axis, we can use the ladder operator formalism to evaluate the action of `Lz` on `|ψ⟩`. The ladder operators for a one-dimensional harmonic oscillator are defined as `a = (x + ip) / √2` and `a† = (x - ip) / √2`, where `x` and `p` are the position and momentum operators, respectively.
Using these definitions, we can write the position and momentum operators in terms of the ladder operators as `x = (a + a†) / √2` and `p = (a - a†) / i√2`. Substituting these expressions into the definition of `Lz`, we get:
`Lz = (xp_y - yp_x) = ((a_x + a_x†) / √2)((a_y - a_y†) / i√2) - ((a_y + a_y†) / √2)((a_x - a_x†) / i√2)`
` = (1/2i)(a_xa_y† - a_x†a_y - a_ya_x† + a_y†a_x)`
` = iħ(a_xa_y† - a_x†a_y)`
where we have used the commutation relation `[a, a†] = 1`.
The action of this operator on the state vector `|ψ⟩` is given by:
`(Lz)|ψ⟩ = iħ(a_xa_y† - a_x†a_y)|αx⟩|αy⟩|αz⟩`
`= iħ(αxa_y† - αya_x†)|αx⟩|αy⟩|αz⟩`
`= iħ(αx - αy)Lz|αx⟩|αy⟩|αz⟩`
where we have used the fact that the ladder operators act on quasi-classical states as `a|α⟩ = α|α⟩` and `a†|α⟩ = d/dα|α⟩`.
Since `(Lz)|ψ⟩ = iħ(αx - αy)Lz|ψ⟩`, it follows that `(Lz)^2|ψ⟩ = ħ^2(αx - αy)^2(Lz)^2|ψ⟩`. Therefore, we have:
`(L^2)|ψ⟩ = (Lx^2 + Ly^2 + Lz^2)|ψ⟩`
`= ħ^2(αx^2 + αy^2 + (αx - αy)^2)(L^2)|ψ⟩`
`= ħ^2(αx^2 + αy^2 + αx^2 - 2αxαy + αy^2)(L^2)|ψ⟩`
`= ħ^2(3αx^2 + 3αy^2 - 4αxαy)(L^2)|ψ⟩`
This shows that `(L^2)|ψ⟩` is proportional to `(L^2)|ψ⟩`, which means that `(L^2)` is an eigenvalue of the operator `(L^2)` with eigenstate `|ψ⟩`. The eigenvalue is given by `(L^2) = ħ^2(3αx^2 + 3αy^2 - 4αxαy)`.
b. If we assume that `(Lz)|ψ⟩ = (Ly)|ψ> = 0`, then from part (a) above it follows that `(Ly)^2|ψ> = ħ^2(3ay^3-4axay+3az²)(Ly)^²|ψ>` and `(Lz)^2|ψ> = ħ^2(3az^3-4axaz+3ay²)(Lz)^²|ψ>`. Since `(Ly)^2|ψ> = (Lz)^2|ψ> = 0`, it follows that `3ay^3-4axay+3az² = 0` and `3az^3-4axaz+3ay² = 0`. Solving these equations simultaneously, we find that `ax = ay = az = 0`.
If we fix the value of `(L^2)`, then from part (a) above it follows that `(L^2) = ħ^2(3αx^2 + 3αy^2 - 4αxαy)`. Since `ax = ay = az = 0`, this equation reduces to `(L^2) = 0`.
To minimize `(Lx)^2 + (Ly)^2`, we must choose `αx` and `αy` such that the expression `3αx^2 + 3αy^2 - 4αxαy` is minimized. This can be achieved by setting `αx = -iαy`, where `αy` is an arbitrary complex number. In this case, the expression becomes `3αx^2 + 3αy^2 - 4αxαy = 6|αy|^2`, which has a minimum value of `0` when `αy = 0`.
c. If the conditions in part (b) are satisfied, then the state vector `|ψ⟩` can be written as a linear combination of eigenstates of the operator `(Lz)^2`. These eigenstates are of the form `|n⟩|m⟩|k⟩`, where `n`, `m`, and `k` are non-negative integers and `|n⟩`, `|m⟩`, and `|k⟩` are eigenstates of the number operator for the one-dimensional harmonic oscillator along each axis.
The action of the ladder operators on these states is given by:
`a_x|n⟩|m⟩|k⟩ = √n|n-1⟩|m⟩|k⟩`
`a_x†|n⟩|m⟩|k⟩ = √(n+1)|n+1⟩|m⟩|k⟩`
`a_y|n⟩|m⟩|k⟩ = √m|n⟩|m-1⟩|k⟩`
`a_y†|n⟩|m⟩|k⟩ = √(m+1)|n⟩|m+1⟩|k⟩`
`a_z|n⟩|m⟩|k⟩ = √k|n⟩|m⟩|k-1⟩`
`a_z†|n⟩|m⟩|k⟩ = √(k+1)|n⟩|m⟩|k+1⟩`
Since we have assumed that `(Lz)|ψ> = (Ly)|ψ> = 0`, it follows that:
`(Lz)|ψ> = iħ(a_xa_y† - a_x†a_y)|ψ> = iħ(∑_n,m,k c_nmk(a_xa_y† - a_x†a_y)|n>|m>|k>)`
`= iħ(∑_n,m,k c_nmk(√n√(m+1)|n-1>|m+1>|k> - √(n+1)√m |n+1>|m-1>|k>))`
`= iħ(∑_n,m,k (c_(n+1)(m+1)k√(n+1)√(m+1) - c_n(m-1)k√n√m)|n>|m>|k>)`
`= 0`
This implies that for all values of `n`, `m`, and `k`, we must have:
`c_(n+1)(m+1)k√(n+1)√(m+1) - c_n(m-1)k√n√m = 0`
Similarly, since `(Ly)|ψ> = 0`, it follows that:
`(Ly)|ψ> = iħ(a_xa_z† - a_x†a_z)|ψ> = iħ(∑_n,m,k c_nmk(a_xa_z† - a_x†a_z)|n>|m>|k>)`
`= iħ(∑_n,m,k c_nmk(√n√(k+1)|n-1>|m>|k+1> - √(n+1)
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drag each tile to the correct box. identify the type of scientific knowledge represented by each statement. law theory hypothesis if a certain piece of metal is cooled, it will conduct electricity better. arrowright the amount of electric current that passes through a conductor is directly proportional to the voltage and is described by the formula v
If a certain piece of metal is cooled, it will conduct electricity better, this statement is theory whereas, the amount of electric current that passes through a conductor is directly proportional to the voltage is known as law.
What is hypothesis, theory and law?A hypothesis is a statement that may be true or false. A theory is a well-supported explanation of observations or data. A scientific law is a statement that explains the relationship between variables. Hypothesis is a statement that is given before performing an experiment. It can be true or false after we perform an experiment. When a number of experiments can be performed and the hypothesis comes out true then theory is evolved. When the statement is verified after performing large number of experiments, it becomes a law.
So we can conclude that if a certain piece of metal is cooled, it will conduct electricity better, this statement is theory whereas, the amount of electric current that passes through a conductor is directly proportional to the voltage is known as law.
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WILL GIVE BRAINLIST QUICK!!! How does biodiversity support different varieties of species? (please put short answer)
john needs to measure the brightness of a light bulb using the metric system. in which unit does he express his measurement? candela candela meter meter liter liter kilogram
john needs to measure the brightness of a light bulb using the metric system, in candela he expresses his measurement.
What is metric system?
The decimal standard for measuring is a globally perceived decimalized arrangement of estimation. It is in far and wide use, and where it is taken on, it is the just or most normal arrangement of loads and measures. Decimal standard can be involved by a few groups all around the world as a solitary method for estimating the amounts. This will make them to effectively think about their works. The Decimal standard for measuring was first embraced in France, and essentially every country on the planet currently utilizes it. Be that as it may, for reasons unknown, America hasn't gotten the update yet. The decimal standard gives units of estimation to remove, volume, mass, time, and temperature. It constructs these units utilizing a fundamental unit and a bunch of prefixes. The accompanying rundown shows five significant essential units in the decimal standard.
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Answer:
A. candela
Explanation:
I did a quiz with this question.
You are sitting on a merry-go-round at a distance of 2m from its center. It spins 15 times in 3 min. What distance do you move as you make one revolution? What is your angular speed in RPM? What is your linear speed in meters per SECOND?
Answer:
A) 12.57 m
B) 5 RPM
C) 3.142 m/s
Explanation:
A) Distance covered in 1 Revolution:
The formula that gives the relationship between the arc length or distance covered during circular motion to the angle subtended or the revolutions, is given as follows:
s = rθ
where,
s = distance covered = ?
r = radius of circle = 2 m
θ = Angle = 2π radians (For 1 complete Revolution)
Therefore,
s = (2 m)(2π radians)
s = 12.57 m
B) Angular Speed:
The formula for angular speed is given as:
ω = θ/t
where,
ω = angular speed = ?
θ = angular distance covered = 15 revolutions
t = time taken = 3 min
Therefore,
ω = 15 rev/3 min
ω = 5 RPM
C) Linear Speed:
The formula that gives the the linear speed of an object moving in a circular path is given as:
v = rω
where,
v = linear speed = ?
r = radius = 2 m
ω = Angular Speed in rad/s = (15 rev/min)(2π rad/1 rev)(1 min/60 s) = 1.571 rad/s
Therefore,
v = (2 m)(1.571 rad/s)
v = 3.142 m/s
what else became calculable when henry cavendish calculated the value of g (the gravitational force between two objects on earth)?
The mass of earth became calculable when henry cavendish calculated the value of g the gravitational force between two objects on earth.
The gravitational force appealing as it usually tries to pull hundreds together, it in no way pushes them apart. sincerely, the gravitational force is at once proportional to the mass of each interacting item, greater large objects will appeal to each different with an extra gravitational force.
The force of enchantment on a frame with the aid of the earth is known as gravitational force. example: The leaves and fruits fall from a tree downwards in the direction of the ground, water in a river flows down streams, a ball thrown up is going to a peak and then returns back on the floor are a few examples of motion due to gravitational force.
Gravitation or just gravity is the pressure of appeal between any two of our bodies. all of the items in the universe entice every different with a positive quantity of force, but in most instances, the force is simply too weak to be located because of the very huge distance of separation.
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which is the best example that something has kinetic energy
Which One
A. A book placed on a table
B. A bowling ball rolling across the bar
C. A picture hanging on the wall
D. A car parked on side of the road
Answer:
B
Explanation:
kinetic energy is the energy an object has due to its motion
What is the resistance of a circuit contains two 50. 0 resistors connected in series with a 12. 0 v battery
The resistance of a circuit that contains two 50.0 Ω resistors connected in series with a 12.0 V battery is 100 Ω. The resistance of the circuit is equal to the sum of the individual resistors when they are connected in series.
In this case, two 50.0 Ω resistors are connected in series, resulting in a total resistance of 100 Ω. Resistance can be defined as the obstruction that electricity faces when it travels through a conductor. The greater the resistance, the less current is allowed to flow through the circuit. The following equation is used to calculate resistance: R = V / IWhere R is resistance, V is voltage, and I is current.
Resistance can also be calculated using Ohm's Law if we know the values of voltage and current. When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistors. This is expressed by the following equation:RT = R1 + R2 + ... + RNWhere RT is the total resistance of the circuit, and R1, R2, and RN are the individual resistors. In this case, the circuit contains two 50.0 Ω resistors connected in series.
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which contamination hazard is not considered when installing heating, ventilating, and air conditioning systems?
The contamination hazard that is not considered when installing heating, ventilating, and air conditioning systems is radiation contamination.
One contamination hazard that is not typically considered when installing heating, ventilating, and air conditioning (HVAC) systems is biological contamination from outside sources. While HVAC systems are designed to filter out dust, dirt, and other airborne particles, they may not be equipped to handle biological contaminants, such as bacteria or viruses, that can be introduced from outside sources.
To minimize the risk of biological contamination, it is important to properly maintain HVAC systems, including changing filters regularly, ensuring proper ventilation, and regularly cleaning and disinfecting the system. Additionally, it may be necessary to incorporate additional air purification measures, such as UV germicidal irradiation or biocidal treatments, to ensure a safe and healthy indoor environment.
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The dead sea has a very high salt content. Explain why it is easier for a swimmer to float in the dead sea than in a swimming pool containing fresh water
Answer:
Dead sea is full of salt.
Explanation:
The water of the Dead Sea is full of salt, which makes it much denser and heavier than freshwater. If you swim in it, you float very easily.
When salt is dissolved in water, for example sea water, dissolved salt adds to the mass of the water and makes the water denser than it would be without salt. Because objects float better on a dense surface, they float better on salt water than fresh water.
A bicycle gear wheel is a disc with 50 ‘teeth' equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth'. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip
Answer:
0.66mExplanation:
The question is not complete, here is the complete question, also see attached the image.
"A bicycle gear wheel is a disc with 50 ‘teeth’ equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth’. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip. The speed of sound in air is 330ms–1. What is the wavelength of the emitted sound?"
given data
number of teeth= 50
we are told that the gear is rotated 10 times in 1 sec,
hence the frequency of the rotation past the strip is
=50*10
=500Hz
speed of sound= 330m/s
we know that
\(v_w = f \Lambda\)-----------1
where Vw is the speed of sound,
f is its frequency, and
λ is its wavelength.
λ=Vw/f
λ=330/500
λ=0.66m
Calculate What is the change in speed of the P
wave as it goes from the mesosphere to the outer
core? From the outer core to the inner core?
lithc
asthenosphere
Calculate the potential difference across a 25-Ohm. resistor if a 0.3-A current is flowing through it.
Answer:
I=0.3 A
R=25 Ohm
V=?
V=IR
0.3X25=7.5
Answer:
7.5 V
Explanation:
current × resistance = voltage
1. A rocket is launched from a 300 cm rail. The upper Launch Lug is placed 1 point 150 cm from the bottom of the rocket. What is the effective distance of the Launch Rail? 300 cm 150 cm 3 m 300 m O 1m O 1.5 m
Answer:
i think its going to be 150 because its half of 300
Explanation:
An iron ball and a wooden ball of the same size are dropped from a tall tower. Taking air resistance into consideration, the object to hit the ground first will be the
Considering air resistance, the object to hit the ground first will be the iron ball.
This is because the iron ball has a greater mass and density compared to the wooden ball, allowing it to overcome air resistance more effectively and fall at a faster rate.The iron ball and the wooden ball will experience air resistance as they fall from the tower. The iron ball, being denser than the wooden ball, will experience less air resistance and therefore accelerate faster towards the ground. Therefore, the iron ball will hit the ground first.
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Mr. D's dog Gromit jumped out of a second story window (through the screen) and fell to the ground below. The window is 15 feet high, the acceleration of gravity is 9 m/s', and there are 3.28 feet in each meter. What was the final velocity of this crazed dog? (True story, don't worry he's fine and now he knows about gravity)
Answer:
Vf = 9.46 m/s
Explanation:
In order to find the final velocity of the dog we can use third equation of motion:
2gh = Vf² - Vi²
where,
g = acceleration due to gravity = 9.8 m/s²
h = height of window = (15 ft)(1 m/3.28 ft) = 4.57 m
Vf = Final Velocity of Dog = ?
Vi = Initial Velocity of Dog = 0 m/s
Therefore,
(2)(9.8 m/s²)(4.57 m) = Vf² - (0 m/s)²
Vf = √(89.572 m²/s²)
Vf = 9.46 m/s
A loaded railroad car of mass 6000 kg is rolling to the right at 2. 0 m/s when it collides and couples with an empty freight car of mass 3000 kg, rolling to the left on the same track at 3. 0 m/s. What is the velocity of the pair after the collision? (let right be positive, left be negative)
The final velocity of the coupled freight cars after the collision is -1.0 m/s, which means that they are moving to the left with a speed of 1.0 m/s.
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system of objects is conserved if there are no external forces acting on the system. In this case, the two freight cars are the system, and the collision is assumed to be perfectly elastic, which means that the total kinetic energy of the system is conserved as well.
Let the positive direction be to the right, and the negative direction be to the left. Then, the initial momentum of the system is:
p_initial = m1v1 + m2v2
= 6000 kg * 2.0 m/s + (-3000 kg) * 3.0 m/s
= 6000 kgm/s - 9000 kgm/s
= -3000 kg*m/s
where m1 and v1 are the mass and velocity of the loaded car, and m2 and v2 are the mass and velocity of the empty car. The negative sign indicates that the momentum of the empty car is in the opposite direction to that of the loaded car.
After the collision, the two freight cars will move together as a single unit with a common velocity v_final. Since the total momentum of the system is conserved, we can write:
p_final = (m1 + m2) * v_final
where m1 + m2 is the total mass of the system. Setting the initial and final momenta equal and solving for v_final, we get:
v_final = p_initial / (m1 + m2)
= (-3000 kg*m/s) / (6000 kg + 3000 kg)
= -1.0 m/s
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Next, given the equivalent resistance,
Req(23), what is the equivalent
resistance, Reg, of the series
combination of R1 and Req(23)?
Ri
Req(23)
100 12
120 12
Answer:
Req= 220 ohm
Explanation:
In series combination just add the resistances.
Req=R1+Req(23)
Req=100+120
Req= 220 ohm
Which statement about this figure is false
A. Line E represents a fault line.
B. Layer C is the youngest layer.
C. d,ike K is older than layer I.
D. The fault occurred after layer F formed.
The statement about the figure that is false is that d,ike K is older than layer I. That is option C.
What is cross-cutting relationships in geology?Cross-cutting relationships is a principle that when a body pass through different layers in geology, it is usually younger than all the layers it passed through.
That is to say that, d,ike K is younger than layer I, D and B which it passed through.
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Answer:
If it's not C then it HAS to be B.
Explanation:
By deductive reasoning.