Taking into account the Doppler efect, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].
The Doppler effect is defined as the apparent frequency change of a wave produced by the relative movement of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
The following expression is considered the general case of the Doppler effect:
[tex]f1=f\frac{v+-vR}{v+-vE}[/tex]
Where:
f1, f: Frequency perceived by the receiver and frequency emitted by the issuer respectively. Its unit of measurement in the International System (S.I.) is the hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s⁻¹) v: Velocity of propagation of the wave in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 340 m/s vR, vE: Speed of the receiver and the sender respectively. Its unit of measure in the S.I. is the m/s ±, ∓: We will use the + sign:In the numerator if the receiver approaches the sender
In the denominator if the sender moves away from the receiver
We will use the sign -:In the numerator if the receiver moves away from the emitter
In the denominator if the sender approaches the receiver
In this case, a bat emits a sound at a frequency of 3.00×10⁴ Hz= 30,000 Hz as it approaches a wall.
The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting.
So, you know:
f1= 30,000 Hz + 900 Hz= 30,900 Hzf= 30,000 Hzv= 340 m/svE=vR= vbatReceiver approaches the senderReplacing in the expression is considered the general case of the Doppler effect:
[tex]30900 Hz=30000 Hz\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
Solving:
[tex]\frac{30900 Hz}{30000 Hz} =\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
[tex]1.03=\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
1.03×( 340[tex]\frac{m}{s}[/tex] -vbat)= 340 [tex]\frac{m}{s}[/tex] + vbat
1.03×340[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat
350.2[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat
350.2[tex]\frac{m}{s}[/tex] - 340 [tex]\frac{m}{s}[/tex]= vbat + 1.03×vbat
10.2 [tex]\frac{m}{s}[/tex]= 2.03×vbat
10.2 [tex]\frac{m}{s}[/tex]÷ 2.03 = vbat
5.02 [tex]\frac{m}{s}[/tex]= vbat
In summary, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].
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brainly.com/question/17107808https://brainly.com/question/14929897A spherical balloon is inflating with helium at a rate of. How fast is the balloon's radius increasing at the instant the radius is ft? how fast is the surface area increasing?.
Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
The radius is increasing at a rate of 0.6366 feet per minute.The surface area is changing at a rate of 80 feet squared per minute.The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
For this problem:
Inflation rate of 200 cubic feet per minute, hence [tex]\frac{dV}{dt} = 200[/tex]Radius is of 5 feet, hence [tex]r = 5[/tex]Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]200 = 4\pi (5)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{200}{100\pi}[/tex]
[tex]\frac{dr}{dt} = 0.6366[/tex]
The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:
[tex]S = 4\pi r^2[/tex]
Hence, the rate of change is:
[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt}[/tex]
Hence:
[tex]\frac{dS}{dt} = 8\pi (5)(0.6366) = 80[/tex]
The surface area is changing at a rate of 80 feet squared per minute.
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A charged capacitor is connected to an ideal inductor. At time t = 0, the charge on the capacitor is equal to 6. 00 μc. At time t = 2. 00 ms the charge on the capacitor is zero for the first time. What is the amplitude of the current at that same instant?.
Answer:
6.000000üc po
Explanation:
tes times i divede mo po at i plas mo po
If there is more than one speaker, how should they be all noted?.
Answer:
By their names. If the names are not known you should mark them as speaker 1, speaker 2, speaker 3, etc.
Explanation:
A cell accumulated damage to the majority of its nucleic acids. Is in unlikely to.
Answer:
Normally if a cell has accumulated DNA damage, it is unlikely to pass the G2 check point.
Explanation:
The cell cycle is regulated at three checkpoints to ensure that the cells are ready to proceed through the process of division. At each of these checkpoints, the cell waits to receive signals on whether or not it has carried out the function that should have been completed at the previous stage. The three key check points of the cell cycle are: the cell restriction or growth check point, the DNA synthesis checkpoint and the mitosis or the metaphase checkpoint.
Use the formula for annual compound interest. A = P (1 StartFraction r Over n EndFraction)nt Remember, A refers to the total amount owed. Calculate the total amount that Tom would repay. $10,337 $11,337 $12,337 $13,337.
Answer:
11,337
Explanation:
Answer:
$11,337
Explanation:
Sally and ann are trying to move a box across the floor. Sally is pushing the box to the right with a force of 100n and ann is pulling the box with a force of 50n to the right. What is the magnitude and direction of the box?.
Answer:
150N to the right...
Explanation:Force acting on the box applied by Sally, F1= 100 N (right side)
Force acting on the box applied by Ann, F2= 50 N (right side)
It is clear that the two forces are acting on same direction. Let right side is positive direction. So, F= F1 + F2
F= 100+50
F=150 N
The direction of the box is towards the right side. So, the correct option is 150 N to the right... Hope this helps... Plz mark me brainliest.... Stay safe and have a great weekend!!! :D
A hoop of radius 1. 0 m is placed in the first quadrant of an xy-coordinate system with its rim touching both the x-axis and the y-axis. What are the coordinates of its center of gravity?.
Answer:
(1,1) is the answer you're looking for.
Quis:
*Indonesian assignment*
Find the meanings of the following words using the Indonesian Dictionary
1. Effectiveness
2. Instrument
3. Generator
4. Distribution
5. Consumption
Work in a notebook or lat
pls help me bro :-)
those who are lazy must report :) Ok ^_^
if the natural market forces are left to their own devices, will tourism result in income redistribution that works in favor of the poorer segments of the population?
Answer:
No
Explanation:
No, companies will most likely reduce benefits/wages to increase profit margins and increase revenue, resulting in increased share value and happier shareholders.
A boy exerts an average force of 65n when he lifts a box 1. 2m. How much work does he do?.
Answer:
78 Nm
You can multiply force (N) and distance (m).
Which of the following best describes why ddt is classified as a persistent organic pollutant.
The reasons why DDT is classified as a persistent organic pollutant are;
DDT can be used to control diseases, such as malaria and typhus, that are spread by insects.DDT is detected in food worldwide and the general human population is most commonly exposed to the toxin through food.Persistent Organic Pollutants can be regarded as toxic substances which are made up of organic chemical compounds.
These are industrial chemicals such as;
PCBs pesticides like DDT.DDT is classified as a persistent organic pollutant because of it's usefulness in control diseases and it is been found in food stuff across the globe.
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West corp. Issued 25-year bonds two years ago at a coupon rate of 5. 3 percent. The bonds make semiannual payments. If these bonds currently sell for 105 percent of par value, what is the ytm?.
Answer:
america
Explanation:
because im black
Gianna is going to throw a ball from the top floor.
what do you mean all I see is Gianna is going to throw a ball from the top floor
Answer:
Is there options?
Explanation:
4 t-shirts and a hat costs £31. 00 2 t-shirts and a hat costs £17. 0. How much does a t-shirt cost? how much does a hat cost?.
Answer:
T-Shirt Cost = £7
Hat Cost = £3
Explanation:
Important Information:
4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
Here we assume t-shirt be x and hat be y.
Explanation/Solution:
Based on the above information, the calculation is as follows:
4x + y = 31
2x + y = 17
Now subtract equation 2 from 1
2x = 14
x = 7
So y is
4(7) + y = 31
28 + y = 31
y = 3
Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.
Which of the following are exclusively associated with copyright protection? (select three. ).
Statements that can be exclusively associated with copyright protection are:
Right to make derivatives of a work.
Right to reproduce a work.
Right to lend a work.
Copyright protection can be regarded as a form of protection that protect an intellectual property from stealing away by another party from the right owner.The right owner of the intellectual property such as copyright can give offer to another party to reproduce the property but it must not violate the intellectual property law.THIS IS THE COMPLETE QUESTION.
Which of the following are exclusively associated with copyright protection? (Select three.)
Right to reproduce small excerpts of a work
Right to apply for a patent
Right for anyone to display a work
Right to lend a work
Right to use a trademark
Right to make derivatives of a work
Right to reproduce a work
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Which law would you use to simplify the expression mc006-1. Jpg? quotient of powers power of a quotient product of powers power of a product.
Answer:
Law of transparency
Explanation:
The law that will be used in simplifying the option is a3¹⁰/3⁴ is the quotient of powers. The correct option is a.
What is the quotient of powers?According to the Quotient of Powers Property, exponents are subtracted from powers when they are divided by the same base, provided the base is not equal to 0. Using variables, nanb=n(ab) n a n b = n (a b) is defined.
It is quicker and simpler to subtract the bases than to write down the multiplications and cancel. The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator, is how the Quotient Rule defines the derivative of a quotient.
[tex]\dfrac{x^a}{x^b} = x^{( a - b)}[/tex]
[tex]\dfrac{3^{10}}{3^4} = 3 ^ {( 10 - 4)}\\\\\dfrac{3^{10}}{3^4} = 3^6[/tex]
Therefore, the correct option is a, the quotient of powers.
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The question is incomplete. Your most probably complete question is given below:
The equation is:
3^10/3^4
Which detective seems to have more clues about solving the case? bolsa sancho.
Answer:
Sancho
Explanation:
Took the test
Answer:
1 True 2 False 3a parrot 4while he was hiding out 5 Sancho
Explanation:
took the test got a 100
According to the electron-cloud model of the atom an orbital is a.
Answer:
orbital is a axis where electron revolvs
Which of the expressions below is equivalent to 4x^2/12x^2-4.
Answer:
(846_++=-06456 AND _089_)(
Explanation:
What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x – 4)2 6 g(x) = (x 6)2 – 4 g(x) = (x – 6)2 – 4 g(x) = (x 4)2 6.
Answer:
d
Explanation: just took the test on edge
who likes food should tell me
Explanation:
Whooo doesn't like food
Your automatic payment option pays bills of $23. 17, $55. 67, $2,345. 15, $575. 25 and $1. 15. How much was the mean payment?.
Select all radical expressions that are equivalent to 347.
Answer:
(3√7)4
81−−√7
Explanation:
Why does the reactivity of metals increase from right to left.
The outer electron shell of all of the noble gases (Neon, Argon, etc) have a complete octet (except helium which only has and only needs two electrons to complete its valence shell) which makes them very stable and nonreactive. The metals on the left (Na, Li, etc) all contain just one electron in their outer shell which makes them unstable and they tend to form ionic bonds.
Note that the column of elements just to the left of the noble gases (the rightmost column save one), the halogens, is also highly reactive, because the halogens all only need a single elecron to form the "stable octet" in the outer shell.
Which list of symbols represents nonmetals, only?.
Answer:
100 points branly salamat
Which of the following is a difference between phase i and phase ii of meiosis?(1 point).
AnswerHowever, Meiosis I begins with one diploid parent cell and ends with two haploid daughter cells, halving the number of chromosomes in each cell. Meiosis II starts with two haploid parent cells and ends with four haploid daughter cells, maintaining the number of chromosomes in each cell.:
Explanation:
You can have ice cream you finish your dinner.
If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?.
Recall the double angle identity for cosine,
cos(2x) = 2 cos²(x) - 1
Then
cos(2x) = 2 (3/4)² - 1 = 1/8
Answer:C
Explanation:
did it on edge
Find the value of 6.
Answer:
B if your question is same as mine
Explanation:
the definition of ! ( factorial ) is
n! = n(n - 1)(n - 2) ........ × 3 × 2 × 1
6 = 6 × 5 × 4 × 3 × 2 × 1 = 720
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Jonathon works for a u. S. Company that doesn't produce goods domestically, but instead buys them from other countries and resells them in the united states. Jonathon's company illustrates the concept of.
Companies are known to have different areas at which they trade. Jonathon's company illustrates the concept of importing.
Importing by a firm simply means that a company/firm often buys goods outside the country and then resells them domestically.
Importing is don by bringing products or services into a country with the aim to sale that have been produce in another country.
Some U.S. companies are often engage in buying of products overseas and shipping them into the U.S. for sale, or as part of a product that is being assembled in the U.S.
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