the angular frequency of this motion is 5.46rad /sec
The formula for the angular frequency is = 2π/T. Radians per second are used to express angular frequency. The frequency, f = 1/T, is the period's inverse. The motion's frequency, f = 1/T = ω/2π, determines how many complete oscillations occur in a given amount of time so in this case the It is measured in units of Hertz, (1 Hz = 1/s).
herex
=
(17.4cm)cos[(5.46s− 1)t]
is written in the general form
where we can identify: A=17.4cm and ω
=5.46rad /sec
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Two-pointcharges are 9.0 cm apart. they are moved and the force on each of them is found to have been doubled. how far apart are they now?
After moving, the two point charges are 6.36 cm apart.
We know that,
F = k [tex]q_{1} q_{2}[/tex] / [tex]r^{2}[/tex]
where,
[tex]q_{1} q_{2}[/tex] = two point charges
k = Coulombs constant
r = Distance between two charges
F = Electrostatic force between two charges
Given that,
r = 9 cm
F = k [tex]q_{1} q_{2}[/tex] / [tex]9^{2}[/tex]
[tex]F^{'}[/tex] = 2F
k [tex]q_{1} q_{2}[/tex] / [tex]r'^{2}[/tex] = 2 * k [tex]q_{1} q_{2}[/tex] / [tex]9^{2}[/tex]
[tex]r'^{2}[/tex] = 81 / 2 = 40.5
r' = 6.36 cm
Electrostatic force is the force between two point charges. It can either be positive or negative. If negative the forces are attractive and if positive the forces are repulsive in nature.
Therefore, after moving, the two point charges are 6.36 cm apart.
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Mars is roughly 60 million km from earth. How long does it take for a radio signal originating from earth to reach mars? radio signals travel at the speed of light
Answer:
200 seconds
Explanation:
60 000 000 000 m / 3 x 10^8 m/s
6 x 10 ^10 / 3 x 10^8 s
2 x 10^2 s = 200 seconds
I need help with this ASAP.. it was due today.. I'm not playing no games
Answer:
The answer is January. Your welcome
Explanation:
An astronomer observes two ordinary stars. the first one turns out to be twice as hot as the second. this means that the first one radiates:________
Two common stars are observed by an astronomer. It turns out that the first one is twice as hot as the second. This indicates that the first emits around 16 times as much energy as the second.
Describe about astronomers?Astronomers are specialists in the field of astronomy, which is the study of celestial bodies and phenomena. They use various methods to explore and understand space beyond Earth, including using telescopes, satellites, and mathematical models.
They also compile data on different astronomical objects into comprehensive databases that can be used by researchers all over the world. This helps us to better understand our universe and how it works. Additionally, astronomers work towards developing new technologies that will help us probe further into space. As we continue to learn more about our galaxy and its many inhabitants, astronomers have a significant role to play in informing society about these discoveries.
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What is the resultant ph if 50 ml of 0.1 m hcl are added to 800 ml of 0.05 m acetate buffer at ph 5.2? the pka of acetic acid is 4.76?
The resultant pH= 4.95
Steps
A weak acid solution and a conjugate base solution can be combined to create a buffer.
Strong acid or strong base addition does not result in a significant pH shift when a weak acid and conjugate base are present in the solution.
A buffer's pH can be determined using the Henderson-Hasselbalch equation:
pH = Pka + log [base] / [acid]
Let 0.05-x represent the amount of acetate in the buffer and x represent the amount of acetic acid in the buffer.
5.2 = 4.75 + log 0.05− x / x
0.05− x = 0.0369 M
HA = 0.0130 M × 800 mL+ 50 mL× 0.1 M = 15.47 mmol
A = 0.0369 M× 800 mL− 50 mL×0.1 M = 24.52 mmol
The new pH is:
pH= 4.75 + log 25.42 / 15.47
pH= 4.95
The resultant pH of the solution= 4.95
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The vernal equinox is now just entering the constellation aquarius. In what constellation will it lie in the year a. D. 10000?.
The constellation Scorpio will be visible in the year 10,000 A.D.
What makes the constellation of Scorpio unique?In addition to having a unique shape, one of the brightest constellations in the sky, the Scorpius constellation has long piqued people's interest.Despite having the name Scorpius, which is Latin for scorpion and literally means "the beast with the fiery sting," not everyone would consider Scorpius to be a scorpion.Scorpius is a wonderful and instantly identifiable constellation. It portrays a scorpion from a Greek myth that the goddess Artemis dispatched to slay the hunter Orion. Antares, a massive star that is hundreds of times bigger than the sun, is located at the center of the scorpion.
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In a certain digital waveform, the period is twice the pulse width. the duty cycle is?
A certain digital waveform has a period that is twice as wide as the pulse. the duty cycle is 50%.
Briefing:The ratio of pulse width to pulse duration is known as the duty cycle.
In actuality, duty cycle equals pulse duration divided by total out-of-band time.
i.e.) = pulse duration/total time period
So pulse width=on time + off time
i.e.)total time period
Duty Cycle=(1/2)*100
=50%.
What is digital waveform and its types?All Binary Information in Digital Systems Appear. A Digital Waveform Carries Binary Information as waveforms that represent sequences of bits – Common strategy: HIGH is 1 and LOW is 0.
What does a digital waveform look like?Digital signals typically have one of two values, such as 0V or 5V. These signals' timing graphs resemble square waves. The main distinction between analog and digital waves is that.
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The 11 participants in an experiment had the following reaction times (in milliseconds). 242,483,483,486,491,494,500,505,506,507,868. identify all values that are outliers.
The participants whose reaction times are outliers are 242 and 868.
The mean/average value of the above values can be calculated by adding up all the values and dividing the result by 11.
Average Value = 242+483+486+491+494+500+505+506+507+868/11
The average/mean value comes out to be 505.
Thus, the reaction times which are far away from the average value of 505 are outliers.
Among the given values 242 and 868 are the only two values that deviate significantly from the average value as compared to other values.
Therefore, the participants whose reaction times are outliers are 242 and 868.
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A particle has an acceleration of 6.14 m/s2 for 0.300 s. at the end of this time the particle's velocity is 9.41 m/s. part a what was the particle's initial velocity? chefggg
The initial velocity of particle is 7.568 m/s
Given:
Acceleration = a = 6.14 m/s2
Time = t = 0.300 s.
final velocity = v = 9.41 m/s.
To Find:
initial velocity = u
Solution: Velocity is the prime indicator of the position as well as the rapidity of the object.
v = u + at
u = v - at = 9.41 - 6.14*0.3 = 7.568 m/s
Hence, initial velocity of particle is 7.568 m/s
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An ohmmeter should be connected to the circuit or component being tested ________.
which are ways of transferring thermal energy? multiple select question. conduction radiation transference emission convection
The ways of transferring thermal energy are Conduction, Convection and Radiation.
Heat transfer is the movement of molecules from a region of higher temperature to a lower temperature. It can be done in three ways:
ConductionConvectionRadiationConduction is the heat transfer done through direct contact between two bodies. Convection is the heat transfer done by movement of fluids such as water or air. Radiation is the heat transfer done by electromagnetic waves.
Therefore, the ways of transferring thermal energy are Conduction, Convection and Radiation.
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What is the acceleration of an object traveling a constant 50 m/s for 15 s?
Answer:
Explanation:
0 m/s^2 is the answer
Answer:
Zero
Explanation:
Constant speed involves zero acceleration ( which is a change in speed)
what would happen to the bulb if we had one cell and one light bulb in a series circuit
All bulbs in the circuit go out happen to the bulb if we had one cell and one light bulb in a series circuit.
A series circuit consists of a channel via each component where the entire current flows. In a parallel circuit, the branches divide the current so that only a portion of it passes through each branch.
A circuit is referred to as a series circuit when all of the devices are linked in series. Each component of a series circuit is connected in such a way that only one channel for charge to travel via the external circuit is possible.
"A circuit with the components arranged in a straight line, so that all the current goes through each component in turn," is the definition of a simple series circuit.
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In how many ways can the elements of [n] be permuted if 1 must precede 2 and 3 is to precede 4?
No. of ways in the elements of n be permuted is n!/4
Number of elements = n
Number of face in which the element of n be permuted if 1 must proceed 2 and 3 is to precede 4.
n = 4
The possible permutation will
(1,2,3,4), (1,3,2,4),(1,3,4,2),(3,4,1,2),(3,1,2,4),(3,1,4,2)
There are 6 possible outcomes
For n= 5
With 1,2,3,4 we add 5 in the arrangement with above terms
The possible number of permutation
5×6 = 30
When n = 6
30×6 = 180.
So for an element
If 1 precede 2 and 3 is yo precede 4 is
[tex]\frac{n*(n-1)*(n-2) ........ 6*5*6*4!}{4!}[/tex]= n! ×6/4!
= n!/4
No. of ways in the elements of n be permuted is n!/4
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Hypochlorous acid, hclo, has a pka of 7.54. at what ph are the concentration of clo- and hclo equal?
At the pH of 4.24, both the concentration of clo- and hclo are equal.
The equal concentration of clo- and hclo are 5.75 x [tex]10^{-5}[/tex] M
What is Hypochlorous acid?When chlorine dissolves in water, a weak acid called hypochlorous acid is created. This acid then partially dissociates to produce hypochlorite or ClO. Oxidizers and the main disinfectants in chlorine solutions are HClO and ClO.
It is impossible to extract HClO from these solutions because it equilibrates with chlorine very quickly.
Many commercial bleaches, deodorants, and disinfectants contain the related chemicals sodium hypochlorite (NaClO) and calcium hypochlorite (Ca(ClO)2) due to their potent antibacterial qualities.
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If you use the approximate nonrelativistic equation for the magnitude of momentum of the proton, what answer do you get?
The answer is 4.96 * 10⁻¹⁹ kg m / s
Proton is an elementary particle that is identical to the nucleus of the hydrogen atom, along with the neutron is a constituent of all other atomic nuclei, that carries a positive charge numerically equal to the charge of an electron, and has a mass of 1.673 × 10−27 kilogram
nonrelativistic equation for the magnitude of the momentum of the proton is p = m * v
Then: p = m * v
Then Let's calculate its value
After that p = 1.67 * 10⁻²⁷ * 0.99 * 3 * 10⁸
Now, p = 4.96 * 10⁻¹⁹ kg m / s
hence the answer is 4.96 * 10⁻¹⁹ kg m / s
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A 25 kg biker is riding their bike
down the street with a force of 35N.
A sudden gust of wind pushes back
the biker with 20N. What is the
acceleration of the biker?
The acceleration of the biker is 0.6 m s⁻².
Acceleration is the price of change in the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given through the orientation of the internet force performing on that item.
Acceleration is the name we deliver to any process where the speed changes. for the reason, that speed is a speed and a course, there are best methods so one can accelerate. Acceleration and Deceleration are one of the most essential subjects in the subject of science. Acceleration is the price of the converting of speed in any item, and deceleration refers to the price of acceleration,
forward force = 35 N
backward force = 20 N
Net force = 35 - 20
= 15 N
we know that,
force = mass × acceleration
15 N = 25 kg × acceleration
Acceleration = 15/25
= 0.6 m s⁻²
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4. Computer programmers in the 1970s thought 8 kilobytes was a lot of memory and the
computers fit the space of about 10 textbooks. Some cell phones today can store 128
Gigabytes. How many 1970 computers would it take to match the memory of a cell
phone today?
Answer:
1.28E11 / 8.0E3 = 1.60E7 computers (16,000,000 computers)
When the position of a block in simple harmonic motion on a spring is zero, what other quantity is also zero?
a) acceleration
b) phase
c) constant
d) frequency
e) velocity
When the position of a block in simple harmonic motion on a spring is zero, acceleration of the block is also zero.
Position of a block performing simple harmonic oscillation is given by
[tex]x(t) = ASin(wt - \phi)[/tex] where, '[tex]A[/tex]' , '[tex]w[/tex]' and '[tex]\phi[/tex]' are the amplitude, angular velocity and phase difference of the particle performing simple harmonic oscillation. Substituting time [tex]t = \frac{1}{w} + \phi[/tex] in the [tex]x(t) = ASin(wt - \phi)[/tex] we get position of the block to be zero. This implies the position of the block is zero at time [tex]t = \frac{1}{w} + \phi[/tex].
Now, the acceleration is the second derivative of position w.r.t time, thus, [tex]a(t) = -w^{2}ASin(wt - \phi)[/tex] is the acceleration of the block. Now, the acceleration of the block at time [tex]t = \frac{1}{w} + \phi[/tex] becomes zero.
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Which situations are necessary components for malpractice to occur?
a. The risk of injury must be predictable.
b. A "breach of duty" is when a professional fails to uphold a level of care.
c. There must be a standard of care in place, and the practitioner must assume responsibility for the patient.
d. There must be a clear link between the treatment received and the harm.
What is malpractice?Malpractice, commonly referred to as professional negligence, is defined as "an incident of carelessness or incompetence on the part of a professional" under tort law.
The following professionals might be the target of malpractice claims:
Medical professionals: If a doctor or other healthcare practitioner does not exercise the level of care and competence that a similarly situated professional in the same medical field would deliver under the circumstances, a medical malpractice claim may be made against them.
Lawyers: Failure to provide services with the amount of competence, care, and diligence that a reasonable lawyer would use in the same situation may be grounds for a legal malpractice claim.
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When you push a crate across a level floor at constant velocity, friction between the crate and the floor is?
Answer:
The friction between the crate and the floor is the same amount as your pushing force when you push a crate across a level floor at constant velocity.
Explanation:
Remember that the force produced by two surfaces coming into contact and sliding against one another is frictional force. This is expressed by the direct relationship between frictional force and normal force.
f=μN
Where
f = frictional force
µ = coefficient of friction
N = Normal force
By dry friction, two solid surfaces in touch are opposed to one another's relative lateral motion. Dry friction is further separated into kinetic friction between moving surfaces and static friction (sometimes known as "stiction") between non-moving surfaces. Additionally, dry friction is typically caused by the interaction of surface characteristics, particularly rough surfaces.
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If the work input of a machine is 30 joules,what would be it's efficiency when the output is 25 joules?
The efficiency of the machine is 83.3% when the output is 25 joules.
What is efficiency?This can be defined as the ratio of the work output to the work input of a machine, expressed in percentage.
To calculate the efficiency of the machine we use the formula below.
Formula:
• E (%) = (Wo/Wi)100........... {Eq1}
Where:
• E (%) = Efficiency of the machine
• Wo = Work output
• Wi = Work input.
From the question,
Given:
Wo = 25 Joules
Wi = 30 Joules
Substitute these values into equation 1
We have,
• E (%) = (25/30)100
• E (%) = 83.3%
Hence, the efficiency of the machine is 83.3%.
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5. Forces have. And.
Answer:
Forces have magnitude and direction.
Explanation:
Force is a vector quantity.
A point on a standing wave that is always stationary is a(n) _____. antinode maximum minimum node
A point on a standing wave that is always stationary is an antinode.
What is antinode?An antinode is the location where constructive interference of the incoming and reflected waves creates the maximum amplitude of the wave.
Antinodes are points on a stationary wave that oscillate with maximum amplitude.
Nodes are points of zero amplitude and appear to be fixed.
Thus, a point on a standing wave that is always stationary is an antinode.
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Deven is describing aerobic exercise to his friend. What is the MOST
accurate statement he can make in his description?
O Aerobic exercise is generally short and intense.
O Aerobic exercise requires very little oxygen.
Aerobic exercise burns fewer calories than anaerobic exercise.
O Aerobic exercise can last continuously for many minutes.
According to the research, the correct option is Aerobic exercise can last continuously for many minutes. It is the statement that correctly he can use to make in his description about aerobic exercise.
What is aerobic exercise?They are those physical activities that aim to burn fat using a high amount of oxygen.
In this sense, these exercises allow to improve the resistance of the person, they are not very intense but are developed in long periods, unlike anaerobic exercises that are more intense and brief.
Therefore, we can conclude that according to the research, the correct option is Aerobic exercise can last continuously for many minutes. It is the statement that correctly he can use to make in his description about aerobic exercise.
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Answer: Aerobic exercise can last continuously for many minutes.
Explanation:
Got it correct
A bumblebee flies with a ground speed of 15.3 m/s . calculate its speed in kilometers per hour (km/h).
The speed of the bumblebee in kilometers per hour (km/h) is 55.08 Km/h
Conversion scale1 m/s = 3.6 Km/h
Data obtained from the questionThe following data were obtained from the question:
Speed (in m/s) = 15.3 m/sSpeed (in Km/h) =?How to convert 15.3 m/s to Km/hWe can convert 15.3 m/s to Km/h as illustrated below:
1 m/s = 3.6 Km/h
Therefore,
15.3 m/s = (15.3 m/s × 3.6 Km/h) / 1 m/s
15.3 m/s = 55.08 Km/h
Thus, 15.3 m/s is equivalent to 55.08 Km/h. Therefore, we can say that the speed of the bumblebee in Km/h is 55.08 Km/h
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Find the work done by a force f=8i-6j 9k that moves an object from the point (0,10,8) to the point (6,12,20) along a straight line. the distance is measured in meters and the force in newtons.
Work done is 158 joule
Given that, the force of a moving object is,
F = (8i - 6j + 9k) N
The object is moving from point (0,10,8) to the point (6,12,20)
Now we can calculate the displacement by the formula,
dr = (x2-x2)i + (y2 - Y2)j + (z2 - z2)k
Put all the values from the given values.
dr = (6 - 0)x + (12 - 10)j + (20 - 8)k
dr = (6i-2j+12k) meters
Now, the work done can be calculated as,
W = F.dr
W = (8i - 6j + 9k).(6i-2j+12k)
W = 158 J
Hence, work done is 158 joule
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Calculate the linear density of iron along [110] and [111] directions (r = 0.124 nm)
The linear density of iron along [110] and [111] directions are
[tex]LD(100) = 2.851 nm^{-1[/tex]
[tex]LD(111) = 1.646 nm^{-1}[/tex]
Linear Density = No of atom centered on the direction vector / Length of direction vector.
[tex]LD(100) = \frac{1 atom}{2R\sqrt{2} }\\LD(111) = \frac{1 atom}{2R\sqrt{6} }[/tex]
[tex]R = 0.124 nm[/tex]
So, it becomes,
[tex]LD(100) = \frac{1}{2 * 0.124 \sqrt{2} } \\= > 2.851 nm^{-1}[/tex]
[tex]LD(111) = \frac{1}{2 * 0.124\sqrt{6} } \\ = > 1.646 nm^{-1}[/tex]
Hence, the linear density of iron 110 is 2.851nm⁻¹ and the linear density of iron 111 is 1.646nm⁻¹.
Does linear density remain constant ?If a material has a non-uniform cross section, the linear mass density is a constant term that allows us to calculate the mass of the material at any given length between x = 0 and x = L. The cgs unit is g/cm whereas the SI unit for linear mass density is kg/m.
The linear density of the string and the tension in the string both affect how quickly a wave moves along a string. A string's linear density is its mass per unit length. In general, a wave's speed is determined by the square root of the medium's elastic property to inertial property ratio.
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If the truck were instead traveling at this speed in the westbound lane, what would be the relative velocity between you and the truck?
65 mi/h would be the relative velocity between you and the truck.
What is velocity?Speed is the directional speed of an item moving as a sign of its pace of progress ready as seen from a specific casing of reference and as estimated by a specific norm of time. Speed is a principal idea in kinematics, the part of traditional mechanics that depicts the movement of bodies. It could sound convoluted, yet speed is fundamentally speeding in a particular course. It is a vector amount, and that implies we want both extent (speed) and bearing to characterize speed. The SI unit of it is meter each second (ms-1 ). In the event that there is a shift in extent or the course in the speed of a body the body is supposed to speed up.
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The average rate of disappearance of i - between 1200.0 s and 1600.0 s is __________ m/s.
The average rate of disappearance of i - between 1200.0s and 1600.0s
is 2.0 × 10⁻⁵ m/s.
What is the formula to calculate the average rate?To determine the slope of a graphed function, use the average rate of change formula. Divide the change in y-values by the change in x-values to determine the average rate of change.
The rate of disappearance for reactants is a positive (+) value. Because products are being made rather than disappearing, their rate of disappearance (-) is negative.
The average rate of reaction = Change in concentration
Time rate ( r ) = Δx Δt.
Sign of average rate of reaction: The average rate falls as the rate of reactant concentration increases.
There will be a bad response. The average rate of reaction will be positive as the rate of product concentration rises.
The average rate of disappearance of i - between 1200.0s and 1600.0s
is 2.0 × 10⁻⁵ m/s.
Therefore, the correct answer is option C) 2.0 × 10⁻⁵
The complete question is:
The peroxydisulfate ion (S₂O₈²⁻) reacts with the iodide ion in an aqueous solution via the reaction:
S₂O₈²⁻ (aq) + 3I⁻ → 2SO₄ (aq) + I₃⁻ (aq)
An aqueous solution containing 0.050 M of S₂O₈²⁻ ion and 0.072 M of I⁻ is prepared, and the progress of the reaction is followed by measuring [I⁻]. The data obtained are given in the table below.
Time (s) 0.000 - 400.0 - 800.0 - 1200.0 - 1600.0
[I⁻] (M) 0.072 - 0.057 - 0.046 - 0.037 - 0.029
The average rate of disappearance of I⁻ between 1200.0 s and 1600.0 s is ________ M/s.
A) 1.8 × 10⁻⁵
B) 1.2 × 10⁻⁵
C) 2.0 × 10⁻⁵
D) 5.0 × 10⁴
E) 1.6 × 10⁻⁴
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