A wave on a string is described by D(x,t)=(4.0cm)×sin[2π(x/(2.4m)+t/(0.26s)+1)], where x is in m and t is in s.
1. The wave speed is approximately 4.59 m/s.
2. The frequency is approximately 3.83 Hz.
3. The wave number is approximately 5.24 [tex]m^{-1}[/tex].
4. The displacement of the string at x=2.6 m and t=0.65 s is approximately 0.031 m.
1. The wave function for a wave on a string is given by
D(x,t) = A sin(kx - ωt + φ)
Where A is the amplitude, k is the wave number, ω is the angular frequency, and φ is the phase constant.
Comparing this to the given wave function
D(x,t) = (4.0 cm) sin[2π(x/(2.4 m) + t/(0.26 s) + 1)]
We can see that
A = 4.0 cm = 0.04 m
k = 2π/(2.4 m) = 5.24 [tex]m^{-1}[/tex].
ω = 2π/(0.26 s) = 24.06 rad/s
The wave speed is given by
v = ω/k = (24.06 rad/s)/(5.24 [tex]m^{-1}[/tex]) ≈ 4.59 m/s
Therefore, the wave speed is approximately 4.59 m/s.
2. Frequency is given by
f = ω/(2π) = (24.06 rad/s)/(2π) ≈ 3.83 Hz
Therefore, the frequency is approximately 3.83 Hz.
3. The wave number is given by
k = 2π/λ
Where λ is the wavelength. The wavelength can be calculated from the wave speed and frequency using the formula
v = λf
Substituting in the given values, we get
λ = v/f = (4.59 m/s)/(3.83 Hz) ≈ 1.20 m
Substituting this into the expression for k, we get
k = 2π/λ ≈ 5.24 [tex]m^{-1}[/tex].
Therefore, the wave number is approximately 5.24 [tex]m^{-1}[/tex].
4. At t=0.65 s, the displacement of the string at x=2.6 m is given by:
D(2.6 m, 0.65 s) = (4.0 cm) sin[2π(2.6 m/(2.4 m) + 0.65 s/(0.26 s) + 1)]
≈ (0.04 m) sin[2π(2.1667 + 2.5 + 1)]
≈ (0.04 m) sin(15.71)
Using a calculator, we can evaluate the sine function to get
D(2.6 m, 0.65 s) ≈ 0.031 m
Therefore, the displacement of the string at x=2.6 m and t=0.65 s is approximately 0.031 m.
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The wave speed = v = 2π / (0.26 s)
The wave number k = 2π / (2.4 m)
The Wave speed (v):The wave speed can be determined by the coefficient of the variable within the sine function. In this case, the coefficient is 2π divided by the period, which is 0.26 s.
Wave speed (v) = 2π / (period)
v = 2π / (0.26 s)
Calculating this expression will give us the wave speed in meters per second.
Frequency (f):
The frequency is determined by the reciprocal of the period. The period is 0.26 s, so the frequency is the inverse of that value.
Frequency (f) = 1 / (period)
f = 1 / (0.26 s)
Calculating this expression will give us the frequency in hertz (Hz).
Wave number (k):
The wave number is determined by the coefficient of the variable 'x' within the sine function. In this case, the coefficient is 2π divided by the wavelength, which is given as 2.4 m.
Wave number (k) = 2π / (wavelength)
k = 2π / (2.4 m)
Calculating this expression will give us the wave number in reciprocal meters (m⁻¹).
Displacement at x = 2.6 m and t = 0.65 s:
To find the displacement of the string at a particular point and time, we can substitute the given values of x and t into the wave equation.
D(x, t) = (4.0 cm) × sin[2π(x/(2.4 m) + t/(0.26 s) + 1)]
Plugging in x = 2.6 m and t = 0.65 s, we can calculate the displacement at that point and time.
D(2.6 m, 0.65 s) = (4.0 cm) × sin[2π(2.6/(2.4) + 0.65/(0.26) + 1)]
Evaluating this expression will give us the displacement of the string at x = 2.6 m and t = 0.65 s, expressed in centimeters (cm).
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Solve this question I don't get it
Answer:
idek
Explanation:
Which type of protist is animal AND plant like?
Answer:
Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.
Explanation:
Will mark as brainliest !! plz answer it
Plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
.
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth
Some one plz help me I am so confused
Answer:
1. the attractive force that holds atoms or ions together
2. the average distance between the nucleus of two bonded atoms
3. the angle formed by two bonds to the same atom
convex mirror is used as a rear view mirror in vehicles why give reasons
Answer: We prefer a convex mirror as a rear-view mirror in vehicles because it gives a wider field of view, which allows the driver to see most of the traffic behind him. Convex mirrors always form a virtual, erect, and diminished image of the objects placed in front of it.
What characteristic is necessary for the uranium in a nuclear reactor?
Answer:
U-235
Explanation:
a rare needed compound
True or False:
Sensations of heaviness and lightness are always associated with changes in a person's weight. A person who feels light has lost weight and a person who feels heavy has gained weight.
If False, explain why the statement is false.
If True, explain why the statement is true.
It's not true, no. The weight can be used to calculate an object's product of mass, but not gravity. The object's mass is multiplied by gravity, as is evident. However, an object's mass will never be 0 and will always be constant, its weight would be zero if there is no gravity. Since mass and weight are not the same, the assertion is untrue.
What is Weight?Weight is the gravitational pull of a large second object, thus the Moon or the Earth, at the first object. Weight is a result of the universal law of gravity, according to which any two objects will gravitationally pull one another with a force exactly equal to the applied of their masses and divided by the square of a distance separating them.
Because of this, larger items naturally weigh more when placed in the same spot; yet, the farther any object seems to be from the Earth, the less weight it has.
Because of the tiny difference in size between the polar and equatorial radii of the Earth, an object's weight at the South Pole is somewhat higher than its value at the Equator.
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A person does 15 J of work moving a couch 1.3 m. How much force was used?
Answer:
11.53 N.
Explanation:
Work = Force * Displacement
W= 15 J
D = 1.3
And now you solve for Force.
15= 1.3F
F= 11.53 N
Your are on a boat on a lake with no current. The lake is full of sharks that will eat you if you put your hands too close to the water, and your paddle has been eaten by those sharks. However, you do have a big bucket of grapefruit in the boat. How will you get to shore? Your answer must reference Newton's third law.
Answer:
throw the lakes to make a current maybe?
Explanation:
What are the half lives for uranium-235 and uranium-238?
a.
The half-life of uranium-235 is 713 seconds, the half-life of uranium-238 is 4.5 minutes
c.
The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years
b.
The half-life of uranium-235 is 713 days, the half-life of uranium-238 is 450 days
d.
None of the above
Answer:
C. The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years
4. Find the valency of atoms of chlorine, sulphur and magnesium.
Answer:
1. Chlorine = 7 valence electrons.
2. Sulphur = 6 valence electrons.
3. Magnesium = 2 valence electrons.
Explanation:
In Chemistry, valence electrons can be defined as the number of electrons present in the outermost shell of an atom. Valence electrons are used to determine whether an atom or group of elements found in a periodic table can bond with others. Thus, this property is typically used to determine the chemical properties of elements.
1. Chlorine = it is an element found in group (7) of the periodic table known as halogens and as such it has 7 electrons in its outermost shell. Therefore, Chlorine has seven (7) valence electrons.
Sulphur = this element is found in group (6) of the periodic table and as such it has 6 electrons in its outermost shell. Therefore, Sulphur has six (6) valence electrons.
Magnesium = this element is found in group (2) of the periodic table and as such it has 2 electrons in its outermost shell. Therefore, Magnesium has two (2) valence electrons.
A 80.0 kg person on rollerblades pushes against a 700. Kg box on wheels with a force of 50.0 N and they roll away from each other. The person accelerates to the left and the box accelerates to the right.
Answer:
person a₁ = -0.625 m / s², box a₂ = 0.0714 m / s²
Explanation:
In this exercise we have a problem of action and reaction forces, the force with which the person (action) pushes the box is of the same magnitude as the force with which the box (reaction) pushes the person, but in the opposite direction.
We work that body separately
Person
-F = m₁ a₁
a₁ = -F / m₁
a₁ = -50.0 / 80.0
a₁ = -0.625 m / s²
the negative sign means that the person moves away from the box
Box
F = m₂ a₂
a₂ = F / m₂
a₂ = 50.0 / 700
a₂ = 0.0714 m / s²
Mr. Rosa sees a random flying object headed towards his student’s face. He sprints at 13 m/s in 2 seconds. How fast did Mr. Rosa accelerate to save his student?
What is your known?
What is your unknown?
Plug it in.
What is your answer?
Answer:
13m/s
Explanation:
actually the answer is already given the thing which is not given is the distance which is 26 m which Mr Rosa walked it in 2 secs
hope it helps you
please mark me as brainlist
if anyone has course hero could you send me the Gizmo Fan Cart Physics?
Answer:
I might be able to help, but I also might not. I need to check if I can get you the answer.
Explanation:
plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth
Answer:
a. 1/2 of the radius of earth
Explanation:
g= GM/r²thus g is inversely proportional to radius
do you weigh yourself regularly?what the things you do to adjust if your weight starts to slip upward or downward?
Answer:
start a healthy diet. But starting a healthy diet doesn't mean only eating greens, you should minimize the amount of regular food you take and eat a balanced diet.
Weight is the measure of the mass of the body. Mass is the amount of matter a body contains.
Personally, I do weigh myself regularly in order to determine the action to take if the weight either slips upward or downwards.If the weight slips upward, what I do is to reduce the amount of calorie intake and also exercise. Reduction in calorie intake and regular exercise can drastically reduce the weight of a body considerably.If otherwise, I ensure I regularly consume a balanced diet and energy-giving foods.Learn more here: https://brainly.com/question/9693067
Which situation involves kinetic energy being transformed into sound energy?
Answer:
c
Explanation:
this is because you move ( kinetic energy) your hands and clap the other person's hand, you will definitely hear sound right.
Answer:
c
Explanation:
When they move their hands together their energy transforms to sound energy.
Can somebody plz help me with this one the question is in the screen shot.
this is in order.
LANDFILL
GROUNDWATER
PESTICIDE
FERTILIZER
HAZARDOUS WASTE
SEPTIC SYSTEM
SEEPAGE
An instant soup is very low in fat and calories but high in sodium. Can this food be labeled “ healthy”?
Answer:
no
Explanation:
it is not healthy because sodium is not good to our body
No it is not healthy.
The following information should be considered:
The instant soup is the processed food and it have the expire time of about 6 months.If we make the soup homemade than it will be okay for only 1 or 2 foods. Also it is high in sodium.Learn more: brainly.com/question/17429689
After Sophia eats her body breaks down the food to use as an engery source when she runs this is an example of which type of engery conversion
Answer:
cannibalism
Explanation:
because she is eating her body!
The biological levels of organization range from a single organelle all the way up to the biosphere in a highly structured hierarchy. Your lab partner is struggling to understand the interaction between the levels in the biological hierarchy. Using the model, what explanations can your offer to help your classmate? Choose ALL that apply.
A) R makes up Q which makes up P which makes up S.
B) Cells that work together make up tissues, which comprise organs.
C) Similar cells working together make up organs which make up organ systems.
D) In the model, the animal cells make up tissues such as muscle or connective tissue.
E) Organs, such as the stomach and intestines, make up organ systems which interact with one another to maintain homeostasis.
The model that depicts the concept of biological levels of an organization which is ranging from single organelle to biosphere is explained by all the options given except for options A and C.
Biology is specifically the study that deals with various forms of life. Since life is considered a vast topic, scientists classified this broad system into different organizational levels for better understanding.
The Biological levels of the organization are described as follows:
The biological level of organization of any living form is depicted and arranged from the simplest forms to the complex ones and thus, the order tends to start from organelles to the biosphere. The elaborated levels are in ascending order as organelles, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere respectively. Each level tends to combine with one another to give rise to the next level. One such example is that the cells that tend to work together make up the tissues, which further comprise the organs. Similarly, organ systems are formed by the interaction between certain organs in order to maintain homeostasis.
Considering all these facts, option C represents the statement that is incorrect as the cells cannot directly form organs without forming tissues and the letters in option A is not specific. And thus, we can conclude that except for options A and C, all the other options correctly depict the model of the Biological levels of the organization.
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if a town was 90 miles away and you travel at 45 mph how long would it take to get there
Answer:
t = 2 hours
Explanation:
Given that,
Distance of the town, d = 90 miles
Speed, v = 45 mph
We need to find the time to get there. The speed of an object is given by :
[tex]v=\dfrac{d}{t}[/tex]
Where
t is time
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{90}{45}\\\\t=2\ h[/tex]
So, the required time is 2 hours.
Assignments
1. A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N
frictional force. He pushes in a direction 25.0" below the horizontal. (a) What is the work done
on the cart by friction? (b) What is the work done on the cart by the gravitational force? (c)
What is the work done on the cart by the shopper? (d) Find the force the shopper exerts, using
energy considerations. (e) What is the total work done on the cart?
Hello there!
I hope you and your family are staying safe and healthy during this unprecendented time.
A) What is the work done?
Answer: We need to use the formula
[tex]w=-F_f(d)[/tex]
[tex]w=-(35)(20)[/tex]
[tex]w=-700J[/tex]
B) What is the work done on the cart by the gravitational force?
Alright, we know that the gravitional force is perpendicular to the diplacement. Therefore, we gonna use the following formula:
[tex]w=Fdcos90[/tex]
[tex]w=0[/tex]
C) What is the work done on the cart by the shopper?
This is the easier part, since we already know that the work done by the shopper is the same as the work done by the friction force
[tex]W shopper + W friction = 0\\W shopper = W-friction \\W shopper = 700J[/tex]
D) Find the force the shopper exerts, using energy considerations.
[tex]F_f+Fcos25=0\\-35+Fcos25=0\\F=38.6N[/tex]
E) What is the total work done?
You just need to add them:
[tex]w=wshopper+wfriction\\w=0[/tex]
an atom has 5 protons, 6 neutrons, and 5 electrons. what is the atomic mass?
Answer:
the atomic mass is 11
Explanation:
the atomic mass is basically how many protons and neutrons there are so for this all you have to do is some simple math:
5 + 6 = 11
and boom, ur atomic mass is equal to 11!
please help with this question!!
Answer:
A.9.0 A
Explanation:
This is multiplication then add.
3*2+3=9.0
And that is how we get the answer.
The seed planted at extreme cold or in the region of frozen ice do not germinate, why?
Answer:
yes
The the seed planted at Extreme cold or in the region of frozen I did not germinate because the amount of moisture of the seed is too high which results in lack of air of the sea in the frozen ice
In fact, a soil temperature below 50°F might be problematic for many garden plants. Seeds will quickly absorb water at 40°C, but they won't begin to grow. This presents a risk for rot and disease, which may cause damping-off or subpar growth.
What is germination of seed?The formation of the seedling is the consequence of germination, which is often the growth of a plant inside a seed. It is also the process of the seed's metabolic machinery being reactivated, which causes the radicle and plumule to emerge. A vascular plant's seed is a little bundle that develops in a fruit or cone as the result of the union of the male and female reproductive cells.
Given the need for particular internal or external stimuli to resume growth, dormant seeds are viable seeds that do not germinate. When the right circumstances are present, the seed starts to germinate and the embryo starts to grow again, eventually becoming a seedling.
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Why can’t the high-quality energy released from a lump of burning coal be recycled?
Answer:
when energy changes from one form to another, it always goes from a more useful to a less useful form. This means that people can't recycle or reuse high quality energy to perform useful work.
When energy changes from one form to another, it always transitions from a more helpful to a less useful one. Because of this, people are unable to reuse or recycle high-quality energy to complete crucial tasks.
What is the term of burning coal?Coal is most frequently and significantly used in combustion, where heat is produced to create steam, which in turn powers the turbines that generate electricity. All living things, including humans, are composed of carbon. However, as coal burns, its oxygen reacts with airborne oxygen to generate carbon dioxide. Although dioxide (CO2) is an odourless, colourless gas, it is one of numerous gases found in the atmosphere that can retain the heat from the planet.
Why is burning coal a problem?It's a major issue for climate change since it produces more carbon dioxide when burned than oil or gas. In addition to producing microscopic soot particles and hazardous substances like arsenic and mercury, coal also contributes to air pollution.
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5. Identify the reactants in this chemical equation:
2H3PO4 → HAP20, +H2O
Answer:
H=Hydrogen, PO4=Phosphate
Explanation:
Reactions are on the left side of arrow and products are on the right side of arrow.
What would the acceleration of a car be from a stoplight if it started at 0 m/s and reached a
speed of 100 m/s in 7.8 seconds?
Answer:
The acceleration of a car would be: [tex]a=12.8[/tex] m/s²
Explanation:
Given
Initial velocity = [tex]v_1=0[/tex] m/s
Final velocity = [tex]v_f=100[/tex] m/s
Time elapsed = [tex]t = 7.8[/tex] s
To determine
We need to determine the acceleration of a car.
We know that acceleration is basically the rate of change in velocity over time.
Thus,
We can determine the acceleration using the formula
[tex]\:\:\:a=\:\frac{v_f-v_i}{t}[/tex]
where
[tex]a[/tex] is the acceleration[tex]v_1[/tex] is the initial velocity[tex]v_f[/tex] is the final velocity[tex]t[/tex] is time elapsednow substituting the values [tex]v_1=0[/tex], [tex]v_f=100[/tex], and [tex]t = 7.8[/tex] in the formula
[tex]\:\:\:a=\:\frac{v_f-v_i}{t}[/tex]
[tex]a=\:\frac{100-0}{7.8}[/tex]
[tex]a=\frac{100}{7.8}[/tex]
[tex]a=12.8[/tex] m/s²
Therefore, the acceleration of a car would be: [tex]a=12.8[/tex] m/s²
Jenny is studying a compound that has two oxygen atoms and one nitrogen atom. Which statement describes the subscripts she will use to write the chemical formula? She will use one 2 as a subscript. She will use one 2 and one 1 as subscripts. She will use one 3 as a subscript. She will use two 2s and one 1 as subscripts.
Answer:
She will use one 2 as a subscript.
Explanation:
Nitrogen is a chemical element with the symbol "N" and has an atomic number of 7. Thus, it is found in group (5) of the periodic table and as such it has 5 electrons in its outermost shell. Therefore, nitrogen has two (5) valence electrons.
On the other hand, oxygen has an atomic number of 8 and with the symbol "O."
When nitrogen and oxygen react chemically, they produce a compound known as nitrogen dioxide [tex] NO_{2} [/tex]
In this scenario, Jenny is studying a compound that has two oxygen atoms and one nitrogen atom. Therefore, the statement which describes the subscripts she will use to write the chemical formula is, she will use one 2 as a subscript.
[tex] N + O_{2} ------> NO_{2} [/tex]
Where: 2 represents the subscript of oxygen.
Answer:
A- she will use 2 as a subscript
Explanation: because im doing the test rn and i got it right on edg2021