Is there gravitational force between two students sitting in a classroom?
If so, explain why you don't observe any effects of this force.
Answer:
Yes.
Explanation: the magnitude of the force is extremely small because the masses of the students are small relative to Earth's mass.
The gravitational force between two students sitting in classroom exists but its effect are not visible because the distance between these students is very very very small.
We have two students sitting in a classroom.
We have to investigate whether or not there is gravitational force between these two students.
State Newtons law of Gravitation.Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically -
[tex]$F=\frac{GMm}{r^{2} }[/tex]
According to the question, we have - Two students sitting in a classroom.
Take a close look and you will identify that the distance between any two students in classroom is very small. Gravitational force is also the weakest force since the value of Universal gravitation constant (G) = 6.674 x [tex]10^{-11}[/tex] [tex]m^{3}kg^{-1}s^{-2}[/tex] is very small. Moreover, the force of gravitation is inversely proportional to square of distance between two bodies -
[tex]$F \alpha \frac{1}{r^{2} }[/tex]
This will make the gravitational force even more weak. This is the main reason why you don't observe any effects of this force. The gravitational force exists between any two bodies that have mass and energy, but its magnitude might depend upon other factors to.
Hence, the gravitational force between two students sitting in classroom exists but its effect are not visible because the distance between these students is very very very small.
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there was an earthquake in wilmington, north carolina! we need to review the s-p interval. where can this be found on a seismograph?
On a seismogram, which is the record of ground motion produced by an earthquake, the S-P interval can be measured by finding the time difference between the arrival of the S-wave and P-wave signals.
The S-P interval, also known as the S-P time interval, is an important measurement in seismology used to determine the distance between an earthquake and a seismic station. It represents the time difference between the arrival of the S-wave and P-wave at the seismograph station.
On a seismogram, which is the record of ground motion produced by an earthquake, the S-P interval can be measured by finding the time difference between the arrival of the S-wave and P-wave signals. Typically, the seismogram will have distinct arrivals for both the P-wave and S-wave, which appear as distinct lines or traces on the seismogram.
To measure the S-P interval, you would locate the arrival times of the P-wave and S-wave on the seismogram and calculate the time difference between them. This time difference can then be used, along with known travel time curves or equations, to estimate the distance from the seismic station to the earthquake epicenter.
It's important to note that the actual seismogram recording and interpretation should be conducted by trained seismologists or experts in the field, as they have the knowledge and experience to accurately analyze seismic data.
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A Scooter travelling at 10m/s speed up to 20m/s in 4 sec.find the acceleration of scooter
Answer:
2.5 m/s²
Explanation:
Given,
Initial speed ( u ) = 10 m/s
Final speed ( v ) = 20 m/s
Time ( t ) = 4 seconds
To find : Acceleration ( a ) = ?
Formula : -
a = ( v - u ) / t
a = ( 20 - 10 ) / 4
= 10 / 4
= 5 / 2
a = 2.5 m/s²
Therefore,
The acceleration of the scooter is 2.5 m/s²
a pulse from a ruby laser (lambda = 694.3 nm) has an average power of 50 mw and lasts 4.6 ns. how many photons are emitted in this pulse?
Approximately 7.5679 x 10^11 photons are emitted in this pulse of a ruby laser with a wavelength of 694.3 nm, an average power of 50 mW, and a duration of 4.6 ns.
To calculate the number of photons emitted in the pulse, we can use the formula:
Number of photons = (Average power of the pulse) / (Energy per photon)
First, let's calculate the energy per photon using the formula:
Energy per photon = Planck's constant (h) x Speed of light (c) / Wavelength
Given:
Wavelength (λ) = 694.3 nm = 694.3 x 10^-9 m
Average power = 50 mW = 50 x 10^-3 W
The Planck's constant (h) is approximately 6.626 x 10^-34 J·s, and the speed of light (c) is approximately 3 x 10^8 m/s.
Calculating the energy per photon:
Energy per photon = (6.626 x 10^-34 J·s) x (3 x 10^8 m/s) / (694.3 x 10^-9 m)
Now, we can calculate the number of photons using the formula mentioned earlier:
Number of photons = (Average power of the pulse) / (Energy per photon)
Substituting the values:
Number of photons = (50 x 10^-3 W) / [(6.626 x 10^-34 J·s) x (3 x 10^8 m/s) / (694.3 x 10^-9 m)]
Number of photons ≈ 7.5679 x 10^11 photons
Approximately 7.5679 x 10^11 photons are emitted in this pulse of a ruby laser with a wavelength of 694.3 nm, an average power of 50 mW, and a duration of 4.6 ns.
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calculate the average translational kinetic energy, k, for one mole of gas at 845 k. translational kinetic energy is sometimes called average kinetic energy.
The average translational kinetic energy, k, for one mole of gas at 845 K is approximately 5.53 x 10^3 J/mol.
To calculate the average translational kinetic energy, we can make use of the kinetic theory of gases and the equipartition theorem.
According to the kinetic theory of gases, the average translational kinetic energy of a gas molecule is directly proportional to its temperature.
The equipartition theorem states that in thermal equilibrium, each degree of freedom of a molecule contributes (1/2)kT to the average energy, where k is the Boltzmann constant (1.380649 x 10^-23 J/K) and T is the temperature in Kelvin.
For a monatomic gas, such as helium (He) or argon (Ar), the molecules have three translational degrees of freedom (in x, y, and z directions). Therefore, the average translational kinetic energy (k) for one mole of gas can be calculated as follows:
k = (3/2)RT
where R is the gas constant (8.314 J/(mol·K)).
Let's calculate it for one mole of gas at 845 K:
k = (3/2)(8.314 J/(mol·K))(845 K)
≈ 5.53 x 10^3 J/mol
The average translational kinetic energy, k, for one mole of gas at 845 K is approximately 5.53 x 10^3 J/mol.
This value represents the average energy associated with the random translational motion of gas molecules at the given temperature.
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A magnetic field exerts a force on an electric charge if the charge is
a. positive
b. negative
c. moving
d. stationary
e. any of the above
A magnetic field exerts a force on an electric charge if the charge is: c. moving.
How to determine the magnitude and direction of the magnetic force?In Science and Physics, the magnitude of the magnetic field due to the current in a wire can be calculated or determined by using the following mathematical equation (formula);
[tex]B=\frac{\mu_0 I}{2 \pi d}[/tex]
Where:
B represent the magnitude of the magnetic field.d represent the distance.[tex]\mu_0[/tex] represent the magnetic permeability constant.Generally speaking, a magnetic field would exerts a force on an electric charge if and only if the charge is moving through a magnetic field and perpendicular to that magnetic field.
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A fluorescent lamp is 25% efficient. Choose the statement that correctly
describes how the lamp performs.
A ) the lamp only works for a quarter of the time
B ) 25% of the electrical energy transferred to the lamp is wasted
C ) the lamp does not work properly
D) 25% of the energy supplied to the lamp is transferred to light
Please answer correctly
Please do not answer from links
Please help
Urgent !!
Will give the brainliest!
Answer:
Explanation:
it's D b/c only 25% of the energy is making light... the rest is probably heat.. :/
a 42.0 ma current is carried by a uniformly wound air-core solenoid with 475 turns, a 10.5 mm diameter, and 13.0 cm length.
(a) Compute the magnetic field inside the solenoid. �T (b) Compute the magnetic flux through each turn. T�m2
(c) Compute the inductance of the solenoid. mH (d) Which of these quantities depends on the current? (Select all that apply.) magnetic field inside the solenoid magnetic flux through each turn inductance of the solenoid
The magnetic field inside the solenoid is approximately 0.051 T or 51 mT , magnetic flux through each turn of the solenoid is approximately 4.421 × 10^(-6) T·m^2 and inductance of the solenoid is approximately 1.573 mH or 1573 μH.
The magnetic field inside a solenoid can be calculated using the formula:
B = μ₀ * (N * I) / L
where B is the magnetic field, μ₀ is the permeability of free space (4π × 10^(-7) T·m/A), N is the number of turns, I is the current, and L is the length of the solenoid.
Plugging in the values:
N = 475 turns
I = 42.0 mA = 42.0 × 10^(-3) A
L = 13.0 cm = 13.0 × 10^(-2) m
B = (4π × 10^(-7) T·m/A) * (475 * 42.0 × 10^(-3) A) / (13.0 × 10^(-2) m)
B ≈ 0.051 T (or 51 mT)
Therefore, the magnetic field inside the solenoid is approximately 0.051 T or 51 mT.
The magnetic flux through each turn of the solenoid can be calculated using the formula:
Φ = B * A
where Φ is the magnetic flux, B is the magnetic field, and A is the cross-sectional area of the solenoid.
The cross-sectional area of a solenoid can be approximated as:
A = π * (d/2)^2
where d is the diameter of the solenoid.
Plugging in the values:
d = 10.5 mm = 10.5 × 10^(-3) m
A = π * (10.5 × 10^(-3)/2)^2
A ≈ 8.660 × 10^(-5) m^2
Φ = (0.051 T) * (8.660 × 10^(-5) m^2)
Φ ≈ 4.421 × 10^(-6) T·m^2
Therefore, the magnetic flux through each turn of the solenoid is approximately 4.421 × 10^(-6) T·m^2.
The inductance of a solenoid can be calculated using the formula:
L = μ₀ * (N^2 * A) / L
where L is the inductance, μ₀ is the permeability of free space, N is the number of turns, A is the cross-sectional area, and L is the length of the solenoid.
Plugging in the values:
N = 475 turns
A = 8.660 × 10^(-5) m^2
L = 13.0 cm = 13.0 × 10^(-2) m
L = (4π × 10^(-7) T·m/A) * (475^2 * 8.660 × 10^(-5) m^2) / (13.0 × 10^(-2) m)
L ≈ 1.573 mH (or 1573 μH)
Therefore, the inductance of the solenoid is approximately 1.573 mH or 1573 μ
The quantities that depend on the current are:
Magnetic field inside the solenoid: The magnetic field is directly proportional to the current (B ∝ I).
Magnetic flux through each turn: The magnetic flux is directly proportional to the current (Φ ∝ I).
Inductance of the sol
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PLZZZZZZ HELP 50 POINTS Directions
Now that the lab is complete, it is time to write your lab report. The purpose of this guide is to help you write a clear and concise report that summarizes the lab you have just completed.
The lab report is composed of two sections:
Section I: Overview of Investigation
Provide background information.
Summarize the procedure.
Section II: Observations and Conclusions
Include any charts, tables, or drawings required by your teacher.
Include answers to follow-up questions.
Explain how the investigation could be improved.
To help you write your lab report, you will first answer the four questions listed below based on the lab that you have just completed. Then you will use the answers to these questions to write the lab report that you will turn in to your teacher.
You can upload your completed report with the upload tool in formats such as , Microsoft Word, or PDF. Alternatively, your teacher may ask you to turn in a paper copy of your report or use a web-based writing tool.
Questions
Section I: Overview of Lab
What is the purpose of the lab?
What procedure did you use to complete the lab?
Outline the steps of the procedure in full sentences.
Section II: Observations and Conclusions
What charts, tables, or drawings would clearly show what you have learned in this lab?
Each chart, table, or drawing should have the following items:
An appropriate title
Appropriate labels
If you could repeat the lab and make it better, what would you do differently and why?
There are always ways that labs can be improved. Now that you are a veteran of this lab and have experience with the procedure, offer some advice to the next scientist about what you suggest and why. Your answer should be at least two to three sentences in length.
Writing the Lab Report
Now you will use your answers from the four questions above to write your lab report. Follow the directions below.
Section I: Overview of Lab
Use your answers from questions 1 and 2 (above) as the basis for the first section of your lab report. This section provides your reader with background information about why you conducted this lab and how it was completed. It should be one to two paragraphs in length.
Section II: Observations and Conclusions
Use your answers from questions 3 and 4 (above) as the basis for the second section of your lab report. This section provides your reader with charts, tables, or drawings from the lab. You also need to incorporate your answers to the follow-up questions (from the Student Guide) in your conclusions.
Overall
When complete, the lab report should be read as a coherent whole. Make sure you connect different pieces with relevant transitions. Review for proper grammar, spelling, punctuation, formatting, and other conventions of organization and good writing.
Answer:
60-34+56×22
Explanation:
that's cuz imma teacher THOY!!!!!!
Answer:
60-34+56×22
Explanation:
A series RLC circuit has components with the following values: L = 18.0 mH, C = 80.0 nF, R = 15.0 Ω, and ΔVmax = 100 V, with Δv = ΔVmax sin ωt. (a) Find the resonant frequency of the circuit. kHz (b) Find the amplitude of the current at the resonant frequency. A (c) Find the Q of the circuit. (d) Find the amplitude of the voltage across the inductor at resonance. kV
For the series of RLC circuits has components,
a. The resonant frequency is 179.1 kHz.
b. The current amplitude at resonance is 6.67 A.
c. The Q of the circuit is 1.35.
d. The voltage amplitude across the inductor is 135 V (or 0.135 kV).
(a) To find the resonant frequency of the circuit, we can use the formula:
ω = 1 / √(LC)
Given:
L = 18.0 mH = 18.0 × [tex]10^{(-3)[/tex] H
C = 80.0 nF = 80.0 × [tex]10^{(-9)[/tex] F
Substituting the values into the formula:
ω = 1 / √((18.0 × [tex]10^{(-3)[/tex]) × (80.0 × [tex]10^{(-9)[/tex]))
Calculating the value of ω:
ω ≈ 1123.6 rad/s
To convert the angular frequency to frequency in kHz, we divide ω by 2π:
f = ω / (2π)
Substituting the value of ω:
f ≈ 1123.6 / (2π) ≈ 179.1 kHz
Therefore, the resonant frequency of the circuit is approximately 179.1 kHz.
(b) At the resonant frequency, the impedance of the circuit is at a minimum, and the current amplitude is at maximum. The current amplitude can be calculated using the formula:
I = ΔVmax / R
Given:
ΔVmax = 100 V
R = 15.0 Ω
Substituting the values into the formula:
I = 100 / 15.0 ≈ 6.67 A
Therefore, the amplitude of the current at the resonant frequency is approximately 6.67 A.
(c) The Q of the circuit can be calculated using the formula:
Q = ωL / R
Given:
L = 18.0 mH = 18.0 × [tex]10^{(-3)[/tex] H
R = 15.0 Ω
ω = 1123.6 rad/s
Substituting the values into the formula:
Q = (1123.6 × (18.0 × [tex]10^{(-3)[/tex])) / 15.0 ≈ 1.35
Therefore, the Q of the circuit is approximately 1.35.
(d) The amplitude of the voltage across the inductor at resonance can be calculated using the formula:
VL = Q × VR
Given:
Q = 1.35
VR = ΔVmax = 100 V
Substituting the values into the formula:
VL = 1.35 × 100 ≈ 135 V
Therefore, the amplitude of the voltage across the inductor at resonance is approximately 135 V (or 0.135 kV).
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the allowed energies of a quantum system are 0.0 evev, 1.5 evev, 3.0 evev, and 6.0 evev. part a how many different wavelengths appear in the emission spectrum?
In the emission spectrum of the quantum system with allowed energies of 0.0 evev, 1.5 evev, 3.0 evev, and 6.0 evev, there are three different wavelengths that appear.
The allowed energies of the quantum system determine the possible transitions that can occur. A transition between two energy levels corresponds to the emission or absorption of a photon with a specific wavelength. In this case, we have four energy levels: 0.0 evev, 1.5 evev, 3.0 evev, and 6.0 evev.
To determine the wavelengths that appear in the emission spectrum, we need to consider the possible transitions between these energy levels. The differences between the energy levels correspond to the energies of the emitted photons. We have three energy differences: 1.5 evev (from 0.0 evev to 1.5 evev), 1.5 evev (from 1.5 evev to 3.0 evev), and 3.0 evev (from 3.0 evev to 6.0 evev).
Using the relationship between energy and wavelength (E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength), we can calculate the corresponding wavelengths. By substituting the energy differences into the equation, we find the wavelengths to be approximately 827 nm, 554 nm, and 277 nm.
Therefore, in the emission spectrum of this quantum system, three different wavelengths appear: approximately 827 nm, 554 nm, and 277 nm. Each of these wavelengths corresponds to a specific energy transition between the allowed energy levels of the system.
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please help well be very much appreciated <3 Currently, fossil fuels are one of the world's primary energy sources. The graph shows the amount of carbon
that has been released in the atmosphere since 1900 due to the burning of fossil fuels.
Answer: the answer is d
Explanation:
I got it right
benzene has a 6-carbon ring, with alternating single and double bonds. in benzene, a hydrogen atom is replaced by an aldehyde functional group. draw the molecule produced.
Benzene is a cyclic compound with six carbon atoms and six hydrogen atoms with alternating double bonds. Aldehyde functional group has a -CHO group, where C is the carbonyl carbon, and it is attached to one hydrogen atom and one R group. The structural formula for benzene is C6H6.
To draw the molecule produced after replacing one hydrogen atom of benzene with an aldehyde functional group, we first need to remove that hydrogen atom. The aldehyde functional group (-CHO) replaces the hydrogen atom.
This replaces the valency of carbon and makes it the centre of the functional group. The carbon atom in the aldehyde functional group is attached to two other groups - a hydrogen atom (H) and a carbon atom (C).
The carbon atom of the functional group is attached to the carbon atom of the benzene ring, which is then connected to two other carbon atoms with alternating double bonds and single bonds.
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The orbital radius of the Earth (the average Earth-Sun distance) is 1.496 × 1011 m. Mercury’s orbital radius is 5.79 × 1010 m and Pluto’s is 5.91 × 1012 m. Calculate the time required for light to travel from the Sun to each of the three celestial bodies
Answer:
Earth: [tex]t = 498.667\,s[/tex], Mercury: [tex]t = 193\,s[/tex], Pluto: [tex]t = 19700\,s[/tex]
Explanation:
The light travels at a constant speed of approximately [tex]3\times 10^{8}[/tex] meters per second. The time ([tex]t[/tex]), in seconds, required for light to travel a given distance is:
[tex]t = \frac{x}{v_{l}}[/tex] (1)
Where:
[tex]x[/tex] - Travelled distance, in meters.
[tex]v_{l}[/tex] - Speed of light, in meters per second.
Now, we calculate the time for light to travel to each planet:
Earth ([tex]v_{l} = 3\times 10^{8}\,\frac{m}{s}[/tex], [tex]x = 1.496\times 10^{11}\,m[/tex])
[tex]t = \frac{x}{v_{l}}[/tex]
[tex]t = 498.667\,s[/tex]
Mercury ([tex]v_{l} = 3\times 10^{8}\,\frac{m}{s}[/tex], [tex]x = 5.79\times 10^{10}\,m[/tex])
[tex]t = \frac{x}{v_{l}}[/tex]
[tex]t = 193\,s[/tex]
Pluto ([tex]v_{l} = 3\times 10^{8}\,\frac{m}{s}[/tex], [tex]x = 5.91\times 10^{12}\,m[/tex])
[tex]t = \frac{x}{v_{l}}[/tex]
[tex]t = 19700\,s[/tex]
i need to figure out A but i’m not sure how
Answer:
cc
Explanation:
fill in the blank. a straight wire with a current placed in a uniform magnetic field experiences a force that is ______________.
A straight wire with a current placed in a uniform magnetic field experiences a force that is perpendicular to both the wire and the magnetic field.
When a current-carrying wire is placed in a magnetic field, the moving charges in the wire experience a force due to the interaction between the magnetic field and the current. This force, known as the magnetic Lorentz force, is responsible for the wire's motion. According to the right-hand rule, if you align your right thumb with the direction of the current and your fingers with the magnetic field lines, the force experienced by the wire points perpendicular to both the wire and the magnetic field. The magnitude of this force can be determined using the equation F = I * B * L * sin(theta), where F is the force, I is the current, B is the magnetic field strength, L is the length of the wire within the magnetic field, and theta is the angle between the wire and the magnetic field. The direction of the force can be determined using the right-hand rule mentioned earlier.
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The force on a wire is a maximum of 3.50x10^-2 N when placed between the pole faces of a magnet. The current flows horizontally to the right and the magnetic field is vertical. The wire is observed to "jump" toward the observer when the current is turned on.
If the pole faces have a diameter of 10.0 cm, estimate the current in the wire if the field is 0.22 T. Answer in A
If the wire is tipped so that it makes an angle of 17.0 degrees with the horizontal, what force will it now feel? Answer in N
a) The estimated current in the wire is approximately 1.59 A.
b) The wire will now feel a force of approximately 0.036 N.
a) To estimate the current in the wire, we can use the equation for the magnetic force on a current-carrying wire:
Force = magnetic field strength × current × length of wire
Since the force is given as 3.50x[tex]10^{-2}[/tex] N, the magnetic field is 0.22 T, and the length of the wire is equal to the diameter of the pole faces (10.0 cm), we can solve for the current:
3.50x[tex]10^{-2}[/tex] N = (0.22 T) × current × (10.0 cm)
3.50x[tex]10^{-2}[/tex] N = (0.22 T) × current × (0.10 m)
Solving for the current:
current = (3.50x[tex]10^{-2}[/tex] N) / ((0.22 T) × (0.10 m))
current ≈ 1.59 A (ampere)
b) When the wire is tipped at an angle of 17.0 degrees with the horizontal, the force it will feel can be calculated using the equation:
Force = magnetic field strength × current × length of wire × sin(theta)
Since the magnetic field strength, current, and length of the wire remain the same as in the previous scenario, we can use the same values. The angle theta is 17.0 degrees. Substituting these values, we can find the new force:
Force = (0.22 T) × (1.59 A) × (0.10 m) × sin(17.0 degrees)
Force ≈ 0.036 N (new force)
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Doubling the number of units of a bottleneck resource will double the process capacity True False
The given statement is false, because doubling the number of units of a bottleneck resource does not necessarily double the process capacity.
The capacity of a process is determined by its bottleneck, which is the resource or step with the lowest capacity. Increasing the capacity of the bottleneck resource may improve the overall process capacity, but it depends on the specific circumstances and the nature of the process. Other factors such as dependencies, synchronization, and overall process design can also impact the process capacity. Therefore, simply doubling the units of a bottleneck resource does not guarantee a doubling of the process capacity.
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choose true or false for each statement regarding a converging lens.
False. A converging lens produces an enlarged real image when the object is placed beyond its focal point.
Determine whether converging lens produces an enlarged virtual image?A converging lens is thicker at the center and thinner at the edges. When an object is placed beyond the focal point of a converging lens, a real and inverted image is formed on the opposite side of the lens.
This image is larger than the object, hence producing an enlarged real image. The position of the image depends on the object's distance from the lens and follows the rules of image formation by lenses.
On the other hand, a virtual image is formed when an object is placed between the lens and its focal point. The virtual image is upright and larger than the object. However, for a converging lens, this virtual image is not enlarged but rather diminished compared to the object.
Therefore, a converging lens does not produce an enlarged virtual image when the object is placed just beyond its focal point.
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Complete question here:
Choose true or false for each statement regarding a converging lens.
true false A converging lens produces an enlarged virtual image when the object is placed just beyond its focal point.
In an unusual variation on the game of darts, a 470 g, 36-cm-diameter dartboard rotates at 46 rpm on a frictionless axle. two champion dart players simultaneously throw 50 g darts at 7.5 m/s that each stick in the dartboard 10 cm from the axle. Afterwards, what is the dartboard's angular velocity? Express your answer in revolutions per minute.
The angular velocity of the dartboard, after the darts are thrown and stuck 10 cm from the axle, is approximately 21.9 rpm, calculated using the principle of conservation of angular momentum.
Determine how find the dartboard's final angular velocity?To calculate the dartboard's final angular velocity, we can use the principle of conservation of angular momentum. The initial angular momentum of the dartboard is zero since it is not rotating initially. The angular momentum of the dartboard after the dart throws is equal to the sum of the angular momentum of the dartboard and the darts.
The angular momentum of the dartboard is given by L_db = I_db * ω_db, where I_db is the moment of inertia of the dartboard and ω_db is the angular velocity of the dartboard.
The angular momentum of the darts is given by the sum of the individual angular momenta of the darts, which is given by L_d = (m_d * r_d² * ω_d), where m_d is the mass of each dart, r_d is the distance of the dart from the axle, and ω_d is the angular velocity of the dart.
Since the darts stick in the dartboard and rotate with it, their angular velocities ω_d are the same as the final angular velocity of the dartboard ω_db.
Using the conservation of angular momentum, we have:
L_db + 2L_d = I_db * ω_db + 2(m_d * r_d² * ω_db)
Simplifying the equation:
I_db * ω_db = 2(m_d * r_d² * ω_db)
We can cancel out ω_db from both sides:
I_db = 2m_d * r_d²
The moment of inertia of a solid disk rotating about its axis is given by I = (1/2) * m * r², where m is the mass of the disk and r is its radius. Substituting the given values into the equation:
I_db = (1/2) * (0.470 kg) * (0.18 m)²
Now we can calculate the final angular velocity of the dartboard:
I_db * ω_db = 2m_d * r_d²
(1/2) * (0.470 kg) * (0.18 m)² * ω_db = 2(0.050 kg) * (0.10 m)² * ω_db
Simplifying the equation:
ω_db = [2(0.050 kg) * (0.10 m)²] / [(1/2) * (0.470 kg) * (0.18 m)²]
ω_db ≈ 21.9 rpm
Therefore, the dartboard's angular velocity after the dart throws is approximately 21.9 rpm.
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Which of the following processes is most likely to have smaller atomic nuclei
as reactants?
Answer:
It would be B.
Explanation:
The silica cylinder of a radiant wall heater is 0.6 m long
and has a radius 6 mm. If it is rated at 1.5 kw estimate
its temperature when operating. [The Stefan constant,
6=6 x 10-8 wm-2-4)
The estimated temperature of the radiant wall heater when operating is approximately 257 Kelvin.
To estimate the temperature of the radiant wall heater, we can use the Stefan-Boltzmann law, which relates the power radiated by an object to its temperature.
The formula for power radiated is given by:
P = σ * A * T^4
where P is the power radiated, σ is the Stefan constant (6 x 10^-8 Wm^-2K^-4), A is the surface area of the heater, and T is the temperature in Kelvin.
First, we need to calculate the surface area of the silica cylinder. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr^2
where r is the radius and h is the height (length) of the cylinder.
Given:
Radius, r = 6 mm = 6 x 10^-3 m
Length, h = 0.6 m
Plugging in these values, we can calculate the surface area:
A = 2π(6 x 10^-3 m)(0.6 m) + 2π(6 x 10^-3 m)^2
= 0.072π m^2
Now, we can rearrange the Stefan-Boltzmann law to solve for temperature T:
T^4 = P / (σ * A)
Given:
Power, P = 1.5 kW = 1500 W
Stefan constant, σ = 6 x 10^-8 Wm^-2K^-4
Surface area, A = 0.072π m^2
Plugging in these values, we get:
T^4 = (1500 W) / (6 x 10^-8 Wm^-2K^-4 * 0.072π m^2)
T^4 ≈ 3.1 x 10^9 K^4
Taking the fourth root of both sides, we find:
T ≈ 257 K
Therefore, the estimated temperature of the radiant wall heater when operating is approximately 257 Kelvin.
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Two coins rotate on a turntable. Coin B is twice as far from the axis as coin A. The angular velocity of A is _______ that of B. The centripetal acceleration of A is _________ that of B.
a. Quarter b. half c. Equal d. Twice e. four times
On a turntable, two pennies spin, (a) The angular velocity of coin A is (d) twice that of coin B. (b) The centripetal acceleration of coin A is (a) one-fourth ([tex]\frac{1}{4}[/tex]) that of coin B.
Let's denote the angular velocity of coin A as ω[tex]_A[/tex] and the angular velocity of coin B as ω[tex]_B[/tex].
The relationship between the angular velocities of two objects rotating about the same axis is determined by the ratio of their radial distances from the axis.
In this case, it is given that coin B is twice as far from the axis as coin A. Let's denote the radial distance of coin A as [tex]r_A[/tex] and the radial distance of coin B as [tex]r_B[/tex]. Therefore, we have:
[tex]r_B[/tex] = 2[tex]r_A[/tex]
Now, the relationship between the angular velocities is:
[tex]\begin{equation}\frac{\omega_A}{\omega_B} = \frac{r_B}{r_A}[/tex]
Substituting the given values, we have:
[tex]\begin{equation}\frac{\omega_A}{\omega_B} = \frac{2r_A}{r_A}[/tex]
Simplifying the expression, we find:
[tex]\[\frac{\omega_A}{\omega_B} = 2\][/tex]
Therefore, the angular velocity of coin A is twice that of coin B.
Now let's consider the centripetal accelerations of coin A and coin B.
The centripetal acceleration is given by the formula:
a = ω²r
where a is the centripetal acceleration, ω is the angular velocity, and r is the radial distance from the axis.
For coin A, the centripetal acceleration is:
[tex]a_A[/tex] = ω[tex]_A[/tex]² * [tex]r_A[/tex]
For coin B, the centripetal acceleration is:
[tex]a_B[/tex] = ω[tex]_B[/tex]² * [tex]r_B[/tex]
We know that [tex]\begin{equation}\frac{\omega_A}{\omega_B} = 2[/tex], and [tex]r_B[/tex] = 2[tex]r_A[/tex]. Substituting these values into the equation for [tex]a_B[/tex], we have:
[tex]a_B[/tex] = ω[tex]_B[/tex]² * (2[tex]r_A[/tex])
Simplifying the expression, we find:
[tex]a_B[/tex] = 4ω[tex]_B[/tex]² * [tex]r_A[/tex]
Now let's compare the centripetal accelerations of coin A and coin B:
[tex]\begin{equation}\frac{a_A}{a_B} = \frac{\omega_A^2 r_A}{4\omega_B^2 r_A}[/tex]
Simplifying the expression, we find:
[tex]\begin{equation}\frac{a_A}{a_B} = \frac{1}{4}[/tex]
Therefore, the centripetal acceleration of coin A is one-fourth ([tex]\frac{1}{4}[/tex]) that of coin B.
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help please this is about the dialysis and things
show that the difference in decibel levels b1 and b2 of a sound source is related to the ratio of its distances r1 and r2 from the receivers by the formula
The formula relating the difference in decibel levels (b1 and b2) of a sound source to the ratio of its distances (r1 and r2) from the receivers is
b1 - b2 = 20 * log10(r2 / r1)
The difference in decibel levels (b1 and b2) of a sound source can be related to the ratio of its distances (r1 and r2) from the receivers using the inverse square law. The inverse square law states that the intensity of sound decreases proportionally to the square of the distance from the source.
The formula for the difference in decibel levels can be expressed as
b1 - b2 = 10 * log10(I1 / I2)
Where:
b1 and b2 are the decibel levels at distances r1 and r2 respectively.
I1 and I2 are the intensities of sound at distances r1 and r2 respectively.
According to the inverse square law, the relationship between the intensities and distances is:
I1 / I2 = [tex][(r2 / r1)^2][/tex]
Substituting this into the formula for the difference in decibel levels:
b1 - b2 = 10 * log10[tex][(r2 / r1)^2][/tex]
Using the logarithmic property log(a^b) = b * log(a), we can simplify further:
b1 - b2 = 20 * log10(r2 / r1)
Therefore, the formula relating the difference in decibel levels (b1 and b2) of a sound source to the ratio of its distances (r1 and r2) from the receivers is:
b1 - b2 = 20 * log10(r2 / r1)
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A bug on a turntable will make more turns per minute if it is located near the center of rotation. True or false?
Please help me this is timed!
Geronimo wants to move an object 12 meters. Calculate the net work done by the object with an applied force of 150 N and a friction force of 37 N.
Answer:
1476 J
Explanation:
From the question,
Net Work done = Net force× distance moved by net force.
W' = (F-F')×d................... Equation 1
Where W' = Net work done, F = force applied, F' = Frictional force, d = distance moved.
Given: F = 150 N, F' = 37 N, d = 12 m
Substitute these values into equation 1
W' = (150-37)×12
W' = 123×12
W' = 1476 J.
hence the Net Work done by the object is 1476 J
in addition to saturn's titan, which other moon has a nitrogen atmosphere?
Apart from Saturn's moon Titan, the other moon with a nitrogen atmosphere is Pluto's moon, Charon.
The New Horizons spacecraft, which conducted a flyby of Pluto and its moons in 2015, provided valuable data about Charon's atmosphere. It was discovered that Charon possesses a tenuous nitrogen atmosphere, albeit much thinner than that of Titan.
The presence of nitrogen on Charon is believed to be a result of Pluto's volatile ices, including nitrogen, escaping and replenishing Charon's surface over time.
Although the atmosphere is very thin and not as extensive as Titan's, the discovery of nitrogen on Charon contributes to our understanding of the diverse environments and processes occurring within the moons of our solar system.
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this is not a question its a thanks zerofrancisco
Answer:
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Explanation:
Answer:
the guy above me has great humor
Explanation:
In an aqueous solution of a certain acid with pKa = 4.60 the pH is 3.16. Calculate the percent of the acid that is dissociated in this solution. Round your answer to 2 significant digits 0% alo x10 Ar
The percent of acid dissociation of a certain acid in an aqueous solution was calculated to be 3.45 %.
When HCl molecules break down, they break down into H⁺ ions (HCl) and Cl⁻ ions (Cl-Cl). Because HCl is a nearly insoluble acid, it dissolves well in water. Acetic acid, on the other hand, dissolves poorly in water because many H⁺ons are trapped inside the molecule.
Acid Dissociation Constant (Ka) Acid Dissociation constant Ka is calculated as H⁺ = (A⁻) / (HA).
Given that
pKa = 4.60 = -logKa
Ka = 2.51 *10⁻⁵
pH = 3.16 = -log[H⁺]
[H+] = 6.92 *10⁻⁴
Let the Acid be HA with an initial concentration of x
[tex]HA \rightleftharpoons H^+ A^-[/tex]
Initial (M) x 0 0
Change (M)-6.92 *10⁻⁴ +6.92 *10⁻⁴ +6.92 *10⁻⁴
Equilibrium (M)x-6.92 *10⁻⁴ 6.92 *10⁻⁴ 6.92 *10⁻⁴
Ka = [H⁺][A⁻] / [HA]
2.51 *10⁻⁵ = (6.92 *10⁻⁴)2 / (x-6.92 *10⁻⁴)
(2.51 *10⁻⁵ )x - (1.74 *10⁻⁸) = 4.79 *10⁻⁷
(2.51 *10⁻⁵ )x = 4.96 *10⁻⁷
The initial concentration of acid (x) = 0.0198 M.
Percent of acid dissociated
=([H⁺] / [HA]initial)*100%
= ((6.92 *10⁻⁴)/0.0198)*100% = 3.45 %
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