A standing wave is set up in a 200-cm string fixed at both ends. the string vibrates in 5 distinct segments when driven by a 120-hz source. what is the wavelength?
The wavelength of a standing wave is equivalent to:
wavelength = 2 l / n
Where l is the length of
the string and n is the number of segments.
so, wavelength = 2 (0.2 m) / 5
wavelength = 0.08m (ANSWER)
Answer:
[tex]\lambda=80\ cm[/tex]
Explanation:
It is given that,
Length of the string, L = 200 cm = 2 m
Frequency, f = 120 Hz
It vibrates in 5 distinct segments such that there is fifth harmonics. For a string fixed at both ends, the wavelength is given by :
[tex]\lambda=\dfrac{2}{5}L[/tex]
[tex]\lambda=\dfrac{2}{5}\times 2[/tex]
[tex]\lambda=0.8\ m[/tex]
[tex]\lambda=80\ cm[/tex]
So, the wavelength of the string fixed at both ends is 80 cm. Hence, this is the required solution.
A coffee company wants to make sure that their coffee is being served at the right temperature. if it is too hot, the customers could burn themselves. if it is too cold, the customers will be unsatisfied. the company has determined that they want the average coffee temperature to be 65 degrees
c. what is the parameter?
Answer:
Average temperature of the cup of coffee.
Explanation:
If for a sample of population it’s related with statistics.
But in a parameter the whole population should be considered in a survey.
When the all customers in consideration of this survey it’s considered as a parameter.
Further explanation:
Parameters are numbers which are summarize data for an entire population. But statistics are used to summarize data by using a sample.
An unknown population average is known as a parameter. A known sample average is known as a statistic. Here the survey has done with all the customers come to the shop daily. This is considered to be a parameter. If it is a statistic they should select a specific sample of customers.
But since all the customers comes to the shop has been considered in the survey this is a parameter of average temperature of sup of coffee consume by customers.
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1. statistic https://brainly.com/question/12999800 (answer by ardni313)
Keywords:
Average temperature, statistic, samples and parameter
The parameter defines the statistical attributes or measures which is derived from a population. Since the average measure of temperature of coffee is derived from a total population, it is a parameter.
Statistics are statistical measures such as average, median or other values which are derived from the sample. The average coffee temperature is a measure derived from the population of the coffee being served.Therefore, the average temperature of value of the coffee is derived from the population. Hence, it is the Parameter.
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When studying whiplash resulting from rear end collisions, the rotation of the head is of primary interest. an impact test was performed, and it was found that the angular acceleration of the head is defined by the relation α = 700cosθ + 70sinθ, where α is expressed in rad/s2 and θ in radians. knowing that the head is initially at rest, determine the angular velocity of the head when θ = 30°?
The correct answer is[tex]\(\boxed{\omega \approx 479.0 \text{ rad/s}}\)[/tex].
To determine the angular velocity of the head when[tex]\(\theta = 30^\circ\),[/tex] we need to integrate the angular acceleration with respect to time. However, since angular acceleration is given as a function of [tex]\(\theta\)[/tex], we will use the relationship between angular acceleration [tex](\(\alpha\))[/tex], angular velocity[tex](\(\omega\))[/tex], and angle [tex](\(\theta\))[/tex] to find the angular velocity as a function of [tex]\(\theta\).[/tex]
The relationship between angular acceleration, angular velocity, and angle is given by:
[tex]\[\alpha = \frac{d\omega}{dt} = \frac{d\omega}{d\theta} \cdot \frac{d\theta}{dt} = \omega \frac{d\omega}{d\theta}\][/tex]
Since[tex]\(\alpha\)[/tex]is a function of [tex]\(\theta\)[/tex], we can write:
[tex]\[\omega \frac{d\omega}{d\theta} = 700\cos\theta + 70\sin\theta\][/tex]
To find [tex]\(\omega\),[/tex] we separate variables and integrate:
[tex]\[\int \omega \, d\omega = \int (700\cos\theta + 70\sin\theta) \, d\theta\][/tex]
Integrating both sides, we get:
[tex]\[\frac{\omega^2}{2} = 700\sin\theta - 70\cos\theta + C\][/tex]
where [tex]\(C\)[/tex] is the constant of integration. To find [tex]\(C\)[/tex], we use the initial condition that the head is initially at rest, which means[tex]\(\omega = 0\)[/tex] when [tex]\(\theta = 0\)[/tex]. Plugging these values into the equation, we find:[tex]\[0 = 700\sin(0) - 70\cos(0) + C\]\[C = 70\][/tex]
Now we have the constant[tex]\(C\)[/tex], and we can find the angular velocity when [tex]\(\theta = \frac{\pi}{6}\) radians (or \(30^\circ\)):[/tex][tex]\[\frac{\omega^2}{2} = 700\sin\left(\frac{\pi}{6}\right) - 70\cos\left(\frac{\pi}{6}\right) + 70\] \[\frac{\omega^2}{2} = 700\left(\frac{1}{2}\right) - 70\left(\frac{\sqrt{3}}{2}\right) + 70\] \[\frac{\omega^2}{2} = 350 - 35\sqrt{3} + 70\] \[\frac{\omega^2}{2} = 420 - 35\sqrt{3}\][/tex]
Multiplying both sides by 2 to solve for[tex]\(\omega^2\)[/tex]:
[tex]\[\omega^2 = 2(420 - 35\sqrt{3})\]\[\omega^2 = 840 - 70\sqrt{3}\][/tex]
Taking the square root of both sides to find [tex]\(\omega\)[/tex]:
[tex]\[\omega = \sqrt{840 - 70\sqrt{3}}\][/tex]
Now we can calculate the numerical value:
[tex]\[\omega \approx \sqrt{840 - 70 \times 1.732}\] \[\omega \approx \sqrt{840 - 121.24}\] \[\omega \approx \sqrt{718.76}\] \[\omega \approx 479.0 \text{ rad/s}\][/tex]
Therefore, the angular velocity of the head[tex]when \(\theta = 30^\circ\) is approximately \(\boxed{479.0 \text{ rad/s}}\)[/tex]
1. A 0.828-nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards.
a) Find the momentum of the electron.
b) Find the kinetic energy of the electron.
To find the momentum of the electron after collision with a photon, the momentum of the photon must be calculated first using Planck's constant and the wavelength of the photon. The kinetic energy of the electron depends on the specific details of the conservation of energy and momentum in the collision, which are not provided.
Explanation:The question involves calculating the momentum of the electron and the kinetic energy of the electron after it collides with a photon. This scenario is explored in the context of compton scattering, which is a common topic in high school and college physics classes.
To find the momentum of the electron, we use the relationship for the momentum (p) of a photon, which is given by p = h/λ, where h is Planck's constant (6.63 × 10-34 m² kg/s) and λ is the wavelength of the photon. For an 0.828-nm photon, this yields a momentum that the electron will take after the collision.
However, without additional information on the scattering angle or final energy/wavelength of the photon, we cannot accurately determine the momentum or the kinetic energy of the electron, as these values depend on the specifics of the conservation of energy and momentum in the collision process.
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A person riding north on a bike speeds up from 0m/s to 9m/s in 3 seconds. What is the acceleration of the bike
The acceleration of the bike that speeds up from 0m/s to 9m/s in 3 seconds is 3m/s². Details about acceleration can be found below.
How to calculate acceleration?The acceleration of a moving body can be calculated by dividing the change in velocity of the body by the time taken.
According to this question, a bike speeds up from 0m/s to 9m/s in 3 seconds. The acceleration can be calculated as follows:
a = (9m/s - 0m/s)/3 seconds
a = 9m/s ÷ 3s
a = 3m/s²
Therefore, the acceleration of the bike that speeds up from 0m/s to 9m/s in 3 seconds is 3m/s².
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What is the maximum capacity of an analog circuit with a bandwidth of 4000 hz using qam?
By what amount does the sound intensity decrease when the distance to the source doubles?
The relationship of the two is that, the sound intensity is inversely proportional to the square of the distance of the source.
I α 1 / r^2
Where I = intensity and r = distance from source
From this, we can equate two conditions 1 and 2:
I1 / I2 = r2^2 / r1^2
So when r2 = 2 r1, the intensity becomes:
I1 / I2 = (2r1 / r1)^2
I1 / I2 = 4
I2 = I1 / 4
So when we double the distance of the source, the intensity of the sound reduces by a factor of 4 (divided by 4).
The time a basketball player spends in the air when shooting a basket is called the "hang time." the vertical leap l measured in feet is related to the hang time t measured in seconds by the equation lequals=4t2. suppose that a basketball player has a vertical leap of 4 feet 4 inches. find the hang time for this leap.
I believe that L is in feet while t is in seconds. To find for the hang time, all we have to do is to plug in the value of L in feet in the equation.
4 inches is equivalent to 4/12 feet or 0.33 feet, therefore the total L is:
L = 4.33 ft
Using the equation to find for t:
L = 4 t^2
4.33 = 4 t^2
t = 1.04 s
To calculate the hang time for a basketball player with a vertical leap of 4 feet 4 inches, solve the equation l = 4[tex]t^2[/tex] to find that the hang time is approximately 1.041 seconds.
The vertical leap l is related to the hang time t by the equation l = 4[tex]t^2[/tex]. To find the hang time for a basketball player with a vertical leap of 4 feet 4 inches (which is 4.333 feet), we plug this value into the equation and solve for t:
4.333 = 4[tex]t^2[/tex]
[tex]t^2[/tex] = 4.333 / 4
[tex]t^2[/tex] = 1.08325
t = [tex]\sqrt{(1.08325)[/tex]
t ≈ 1.041
Hence, the hang time for this leap is approximately 1.041 seconds.
A thin film of polystyrene is used as an antireflective coating for fabulite (known as the substrate). the index of refraction of the polystyrene is 1.49, and the index of refraction of the fabulite is 2.409. what is the minimum thickness of film required? assume that the wavelength of the light in air is 500 nanometers.
To
solve this problem, we assume that the wavelength of the light in air is 500
nanometers.
For this case we only need the refractive index of the polystyrene. For an antireflective coating, we need a quarter of wave thickness at the wavelength in the air. Which means that the antireflective coating needs to be as thick as 1/4 of the wavelength, divided by the coating’s refractive index. This is expressed mathematically in the form:
x = λ / (4 * n)
where,
x = thickness
λ = wavelength of light
n = index of refraction of polystyrene
Substituting:
x = 500 nm / (4
* 1.49)
x = 500 nm / 5.96
x = 83.90 nm
The minimum thickness of the film required assuming that the wavelength of the light in air is 500 nanometers is; 83.9 nm
Calculations about Destructive Interference
We are given;
Index of refraction of polystyrene; η_p = 1.49
Index of refraction of Fabulite; η_f = 2.409
Wavelength of the light in air; λ = 500 nm
In this question, it will be discovered that light will first of all be reflected two times, first from the upper layer of coating and then from the interface between the coating and the polystyrene material.
The additional path travelled by the light in coating is 2t while the path difference is 2tη_p.
Thus, minimum thickness of film required will be gotten from the formula used in destructive interference which is;
2tη_p = λ/2
t = λ/2 * 1/2η_p
t = λ/(4η_p)
t = 500/(4 * 1.49)
t = 83.9 nm
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An athlete does one push-up. In the process, she moves half of her body weight, 250 newtons, a distance of 20 centimeters. This distance is the distance her gravity moves when she fully extends her arms. How much work did she do after one push-up?
A car braked with a constant deceleration of 8 ft/s2, producing skid marks measuring 100 ft before coming to a stop. how fast was the car traveling when the brakes were first applied?
To find the initial speed of the car when the brakes were first applied, you can use the formula: v^2 = u^2 + 2as. Plugging in the given values, we find that the car was traveling at approximately 28.3 ft/s (or 19.3 mph) when the brakes were first applied.
Explanation:To find the initial speed of the car when the brakes were first applied, you can use the formula:
v^2 = u^2 + 2as
v is the final velocity, which is 0 ft/s since the car comes to a stopu is the initial velocity, which we need to finda is the deceleration, which is given as 8 ft/s^2s is the distance, which is given as 100 ftPlugging in the values into the formula, we get:
0 = u^2 + 2(8)(100)
Solving for u, we find that the car was traveling at approximately 28.3 ft/s (or 19.3 mph) when the brakes were first applied.
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Give three examples from your life of magnetic force.
How strong is the electric field between the plates of a 0.86 µf air-gap capacitor if they are 2.0 mm apart and each has a charge of 64 µc?
A recent experiment reports that increased lighting during the winter months results in lower depression scores. for this study, what is the dependent variable?
How are chemical reactions classified?
The types of chemical reactions are
a) Combination reaction.
b) Decomposition reaction.
c) Displacement reaction.
d) Double Displacement reaction.
e) Precipitation Reaction.
What are chemical reactions?In a chemical reaction, one or more chemicals , also known as reactants are changed into one or more other substances, known as products. In a chemical reaction, the atoms that make up the reactants are rearranged to produce various products.
Chemical equations, which depict the reactants and products of the reaction using chemical symbols and chemical formulae, can be used to represent chemical reactions. The relative numbers of atoms or molecules participating in the reaction are indicated by the coefficients placed in front of the chemical formulae.
Given data ,
The types of chemical reactions are given as
Combination reaction, Decomposition reaction , Displacement reaction , Double Displacement reaction , Precipitation Reaction
And , the characteristics of a chemical reaction are evolution of gas , formation of a precipitate , change in color or temperature and state , formation of new substances
Thermodynamic and kinetic characteristics govern the many types of chemical processes, and they may be modeled by a number of factors including energy, entropy, and Gibbs free energy change.
Hence , the types of chemical reactions are solved
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What is the weight of a 100-kg
the moon (gravity on the moon is 1.62m/s)
When you eat a candy bar and then decide to go for a walk, energy transformations take place. beginning with the food energy in the candy bar, describe the forms of energy used and the changes in energy that occur as you decide to walk and as you do the walking?
What is an example of a negative incentive for producers
An example of a negative incentive for producers is the sharp increase in production costs. Producers are the one who manage the production costs and even the production budget. Anything that relates the production department is entitled to the management of production producers.
There is what we called positive and negative incentives and both of these can affect consumers and producers. Positive incentives are those situations which will give a certain outcome that will benefit the producers, for example, during the peak season there will be a high demand of products, and this gives the chance of producers to demand a higher price from the consumers, in this situation, there will be a big chance of increase sales. A sharp increase in production costs is a loss for the producers. If there will be an increase in production costs, the budget will be greatly affective and even though it is not a peak season, there’s a big chance also to increase prices which we know, consumers are not fond of.
A man whose weight is 650 N is standing on the ground. The force the ground exerts on him is _____.
The force the ground exerts on him is 650 N.
What is force?The push or pull on an object with mass that causes it to change its velocity.
According to law of newton
"Every action has an equal and opposite reaction."
This means that the ground is exerting the same amount of force as the man, 650 N.
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Which describes how to generate a real image of an object using a concave mirror?
A concave mirror is curved inward in the middle, more like a cave. Because the mirror is curved inward, the angle of the light surface can be focused similar to that of the camera. They can form real images that are projected out in front of the mirror at the place where light focuses. When the object is located at the center of the curvature the image formed will also be at the curvature. The image will be inverted and the magnification value is equal to 1 which will become a real image because the ray of light converges at the location of the formed image.
Answer:
The object must be farther from the mirror than the focal point
Explanation:
gradpoint lesson
Jessica stretches her arms out 0.6 m from the center of her body while holding a 2 kg mass in each hand. she then spins around on an ice rink at 1.1 m/s.
a. what is the combined angular momentum of the masses?
What are the components of earths life support system
The components of Earth's life support system are air, water, soil, and living organisms.
What is a Life support system?The life support system is necessary for living organisms. It elements are necessary to promote living organisms and give sustainable life to living organisms.
It is a system that provides all the substances which is essential for the living. It is the combination of equipment that allows the survival in environment.
Life support systems offer food, oxygen, water, and the disposition of carbon and wastes. It includes the atmosphere(air), hydrosphere (water), biosphere (living organisms), and geosphere (soil).
The atmosphere offers air (oxygen) for living organisms to breathe. Hydrosphere offers water for living organisms and the geosphere offers shelter for living organisms.
Hence the components of Earth's life support system are air, water, soil, and oxygen.
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A balloon is released from a tall building. the total mass of the balloon including the enclosed gas is 2.0 kg. its volume is 5.0 m3. the density of air is 1.3 kg/m3. will the balloon rise, fall, or remain stationary; and why?
What is the potential difference vab between points a and b when the switch s is open?
The potential difference vab between points a and b when the switch s is open can be calculated using the formula VAB = Ed where E is the electric field intensity and d is the distance between the points.
Explanation:The potential difference vab between points a and b when the switch s is open can be calculated using the formula VAB = Ed, where E is the electric field intensity and d is the distance between the points. The potential difference is measured in volts (V).
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A cylindrical cable of radius 8.57 mm carries a current of 25.5 a, uniformly spread over its cross-sectional area. at what distance from the center of the wire is there a point within the wire where the magnetic field is 0.447 mt?
A circuit contains a 6.0-v battery, a 4.0-w resistor, a 0.60-µf capacitor, an ammeter, and a switch all in series. what will be the current reading immediately after the switch is closed?
Answer:
I = 0.667 A
Explanation:
A capacitor behaves like a short circuit at t = 0 immediately after the switch is closed, therefore we can discard it from the equation, the resistance is given in watts or power units equivalent to current by voltage and the ammeter behave like a short circuit by nature.
Considering all of the above, the circuit looks like a battery in series with a resistor, therefore, we can use the power equation to solve the problem as follow:
P = I*V
4W = I*6V
I = 0.667 A
A speedboat moving at 31.0 m/s approaches a no-wake buoy marker 100 m ahead. the pilot slows the boat with a constant acceleration of −4.00 m/s2 by reducing the throttle. (a) how long does it take the boat to reach the buoy? s (b) what is the velocity of the boat when it reaches the buoy? m/s
The boat takes 7.75 seconds to reach the buoy and its velocity when it reaches the buoy is 0 m/s.
Explanation:To solve this problem, we can use the equations of motion under constant acceleration. Let's start with part (a).
Given:
Initial velocity, v0 = 31.0 m/s
Final velocity, v = 0 m/s (since the boat reaches the buoy and stops)
Acceleration, a = -4.00 m/s2
We can use the equation:
v = v0 + at
Substituting the given values, we have:
0 = 31.0 - 4.00t
4.00t = 31.0
t = 7.75 s
Therefore, it takes the boat 7.75 seconds to reach the buoy.
Now, let's move on to part (b).
To find the final velocity, we can use the same equation:
v = v0 + at
Substituting the known values:
v = 31.0 - 4.00(7.75)
v = 31.0 - 31.0
v = 0 m/s
Therefore, the velocity of the boat when it reaches the buoy is 0 m/s.
a body of mass 1 kg is placed at a distance of 2 m from another body of mass 10 kg. At what distance from the body of mass 1 kg, another body must be placed so that the net gravitational force acting on the body of mass 1 kg is zero
To answer this problem, we will use the formula for gravitational force:
F = G m1 m2 / r^2
Where,
G = gravitational constant (6.67 * 10^-11)
m = mass of a body
r = distance between two bodies
To have a net gravitational force equal to zero acting on body of mass 1 kg, then the forces of 1 kg and 10 kg bodies and 1 kg and 5 kg bodies should be equal.
F1 (1 kg and 10 kg) = F2 (1 kg and 5 kg)
Therefore,
(1 kg) (10 kg) / (2 m)^2 = (1 kg) (5 kg) / r2^2
Calculating for r2 (distance of another body 5 kg from body of mass 1 kg):
r2^2 = 2
r2 = 1.41 m (ANSWER)
Therefore another body of mass 5 kg should be placed 1.41 m from body of mass 1 kg to have a net gravitational force equal to zero.
The surface or material that underlies a two-dimensional work of art is called the ____.
The term for the surface or material that underlies a two-dimensional work of art is 'substrate'. It plays a critical role in the final appearance of the artwork, and its understanding is key to appreciating a given piece of art.
Explanation:The surface or material that underlies a two-dimensional work of art is called the substrate. This term refers to the material on which the artwork is created. For example, in a painting, the substrate could be the canvas. Similarly, for a drawing, the substrate might be a piece of paper. The substrate plays a vital role in the final appearance of the artwork.
One can relate the concept of substrate in art to Aristotle's explanation of substance as a composite of matter and form. In his perspective, the form is the unchanging purpose or idea informing each particular instance, while the substrate (in his terminology, matter or material cause) contributes to the physical properties of the artwork. Therefore, understanding the substrate is an essential aspect of appreciating a given piece of art.
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A(n) _________ is responsible for collecting light rays previously focused on the specimen.
Answer:
Objectives lens are responsible