A buoy, floating in a ripple tank, is at rest when a wave reaches it. The wave has a frequency of 1.25 Hz, and an amplitude of 0.75 m. What is the magnitude of the buoy’s displacement after 2.20 seconds?

Answers

Answer 1

Answer:

   y = -6.57 10⁻³ m

Explanation:

The movement of water is an oscillation in the vertical direction that can be approximated as a simple harmonic movement

           y = A cos (wt)

where the amplitude is A = 0.75 m and the angular velocity is related to the frequency

            w = 2π f

            w = 2π 1.25

            w = 7.85 rad / s

we substitute

            y = 0.75 cos (7.85 t)

we look for the amplitude for a time of t = 2.20 s, remember that the angles are in radians

            y = 0.75 cos (7.85 2.20)

            y = -0.00657 m

            y = -6.57 10⁻³ m

Answer 2

The magnitude of the buoy’s displacement after 2.20 seconds is [tex]\bold { -6.57 10^{-3\ } m}[/tex].

The movement of water is an oscillation in the vertical direction can be calculated by

       [tex]\bold { y = A cos (\omega t)}[/tex]

where,

A - amplitude = 0.75 m

[tex]\bold {\omega}[/tex] -  angular velocity

Relationship between angular velocity and frequency

        [tex]\bold { \omega = 2\pi f}\\\\ \bold { \omega = 2\pi 1.25}\\\\\bold { \omega = 7.85\ rad / s}[/tex]

Now put the values,

    [tex]\bold { y = 0.75 cos (7.85 \times 2.2)}\\\\ \bold {y = -0.00657\ m}\\\\ \bold { y = \bold { -6.57 10^{-3\ } m}}[/tex]

The magnitude of the buoy’s displacement after 2.20 seconds is [tex]\bold { -6.57 10^{-3\ } m}[/tex].

To know more about waves,

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Related Questions

Find the sum of 23.1, 0.98 and 101

Answers

23.1+0.98+101
=125.08

Which of the models most accurately represents the structure of DNA?
A
B.
G

Answers

Answer:

It's A.

Explanation:

DNA is a double helix.

Model which accurately displays structure of DNA is model A as DNA is a double helical structure.

What is DNA?

DNA  is a hereditary material which is present in human beings as well as all other living organisms.  Every cell which is present in an organism's body has DNA  which is the same. Most of the DNA is situated in the cell's nucleus  and small amount of it can be found in the cell's mitochondria as well.

Information which is stored in DNA is stored as codes made up of four chemical bases namely, adenine, thymine , cytosine and guanine.Human DNA consists of 3 billion bases .The order of the bases determines information which is required for building and maintaining an organism.

DNA bases are capable of pairing up with each other. Adenine pairs with thymine and guanine pairs up with cytosine .Each base is also attached to a sugar molecule  and a phosphate group. A base, phosphate  sugar are together called as nucleotides.

Learn more about DNA,here:

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Different satellites orbit the earth with a vast range of altitudes, from just a couple hundred km, all the way to tens of thousands of km above the surface. The international space station (ISS) is in a low earth orbit, just 400km above the surface (you can see it with the naked eye at sunset and sunrise as a bright, moving dot). At this altitude, the acceleration due to gravity has a value of 8.69m/s Assuming that the radius of the earth is 6400km).
1. What is the speed of the ISS? Express your answer to three significant figures and include the appropriate units.
2. What is the orbital period (T) of the ISS in minutes?

Answers

Answer:

a)  v = 7.69 10³ m / s,  b)    T = 92.6 min

Explanation:

a) For this exercise we use the centripetal acceleration ratio, which in itself assumes a circular orbit, is equal to the acceleration of gravity

          a = v² / r

          v = [tex]\sqrt{a r}[/tex]

the distance to the ISS is

           r = R_earth + d

           r = 6400 10³ + 400 10³

           r = 6800 10³ m

we calculate

           v = [tex]\sqrt{8.69 \ 6800 \ 10^3}[/tex]Ra (8.69 6800 103)

           v = [tex]\sqrt{59.09 \ 10^6}[/tex]

           v = 7.687 10³ m / s

           

the result with the correct significant figures

            v = 7.69 10³ m / s

b) The speed of the ISS is constant, so we can use the uniform motion relationships

            v = d / t

if distance is the orbit distance

            d = 2π r

time is called period

            v = 2π r / T

            T = 2π r / v

let's calculate

            T = 2π 6800 10³ /7,687 10³

            T = 5.558 10³ s

let's reduce the period to minutes

            T = 5.558 10³ s (1 min / 60s)

            T = 9.26 10¹ min

            T = 92.6 min

Plzz answer this question correctly

Answers

Answer:

B

Explanation:

F= m×a

450N = 1.5kg × a

450/1.5 = a

a=300m/s²

IM NOT SURE THO

What is the mechanical advantage of a 8 m ramp that rises 2 m to a stage?

Answers

Answer:

Mechanical advantage = 4

Explanation:

Given the following data;

Distance of effort, de = 8m

Distance of ramp, dr = 2m

To find the mechanical advantage;

Mechanical advantage = de/dr

Substituting into the equation, we have;

Mechanical advantage = 8/2

Mechanical advantage = 4

Determine the maximum volume in gallons​ [gal] of olive oil that can be stored in a closed cylindrical silo with a diameter of feet​ [ft] so the total pressure at the bottom of the container will not exceed ​pound-force per square inch​ [psi]. Assume the height of the tank is sufficient to store the amount of olive oil​ required, and the surface pressure is 1 atmosphere​ [atm]. The specific gravity of olive oil is 0.86.

Answers

This question is incomplete, the complete question is;

Determine the maximum volume in gallons​ [gal] of olive oil that can be stored in a closed cylindrical silo with a diameter of 3feet​ [ft] so the total pressure at the bottom of the container will not exceed 26 ​pound-force per square inch​ [psi]. Assume the height of the tank is sufficient to store the amount of olive oil​ required, and the surface pressure is 1 atmosphere​ [atm]. The specific gravity of olive oil is 0.86.

Answer:

A maximum of 1602.6 gallons of olive oil can be stored in the closed cylindrical silo

Explanation:

Given the data in the question;

Using SI units

Diameter = 3 ft = 3 × 0.3048 = 0.9144 m

pressure at bottom Pb = 26 psi = 26 × 6.89476 × 1000 = 179263.76 pascal

surface pressure Ps = 1 atm = 1 × 101325 = 101325 pascal

specific gravity = 0.86

we know that; density of water = 1000 kg/m³

so, density of oil P = density of water × specific gravity

= 1000 × 0.86 = 860 kg/m³

pressure at depth can be related to pressure at surface;

Pb = Ps + Pgh

acc. due gravity g = 9.81 m/s²

we substitute

179263.76 = 101325 + ( 860 × 9.81 × h)

8436.6h = 179263.76 - 101325

8436.6h = 77938.76

h = 77938.76 / 8436.6

h = 9.238 m

Now;

Volume of the cylinder = π/4 × D² × h

we substitute

Volume of the cylinder = π/4 × ( 0.9144 )² × 9.238  

Volume of the cylinder = 6.0665 m³

we know that; 1 m³ = 264.172 gal

so; Volume of the cylinder = 6.0665 × 264.172 gal

Volume of the cylinder = 1602.6 gallons

Therefore, A maximum of 1602.6 gallons of olive oil can be stored in the closed cylindrical silo

Coulomb's law for the magnitude of the force FFF between two particles with charges QQQ and Q′Q′Q^\prime separated by a distance ddd is
|F|=K|QQ′|d2|F|=K|QQ′|d2,
where K=14πϵ0K=14πϵ0, and ϵ0=8.854×10−12C2/(N⋅m2)ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free space.
Consider two point charges located on the x axis: one charge, q1q1q_1 = -11.5 nCnC , is located at x1x1x_1 = -1.675 mm ; the second charge, q2q2q_2 = 40.0 nCnC , is at the origin (x=0.0000)(x=0.0000).
What is the force exerted by these two charges on a third charge q3q3q_3 = 48.0 nCnC placed between q1q1q_1 and q2q2q_2 at x3x3x_3 = -1.215 mm ?
Your answer may be positive or negative, depending on the direction of the force.
Express your answer numerically in newtons to three significant figures.

Answers

Answer:

F_total = -65.5 N

Explanation:

Coulomb's law is

           F = [tex]k \frac{q_1 q_2}{r^2}[/tex]k q1q2 / r2

In this exercise the force on the charge q3 is asked, for this we use that the force is a vector

          F_total = F₁₃ + F₂₃

let's look for every force

          F₁₃ = [tex]k \frac{q_1 q_3}{r_{13}^2}[/tex]

it is indicated that charge 1 is equal to q₁ = -11.5 nC = -11.5 10⁻⁹ C, located at x₁ = -1.675 mm = -1.675 10⁻³ m and charge q₃ = 48.0 nC = 48.0 10⁻⁹ C located at x₃ this position is not written in the exercise, suppose the position x₃ = -0.5 mm = 0.5 10⁻³ m

the distance is

          r₁₃ = [tex]\sqrt{(x_3 - x_1 )^2}[/tex]

          r₁₃ = [tex]\sqrt{(0.5-1.675)^2} \ 10^{-3}[/tex]

          r₁₃ = 1.175 10⁻³ m

we calculate

          F₁₃ = [tex]\frac{9 \ 10^{9} 11.5\ 10^{-9} 48.0\ 10^{-9} }{(1.175 10^{-3})^2 }[/tex]

          F₁₃ = 3.598 N

as the charge q₁ is negative and the charge q₃ is positive the force is attractive directed to the right

we look for F₂₃, where q₂ = 40 nC = 40.0 10⁻⁹ C located at x₂ = 0

             F₂₃ = [tex]k \frac{q_2q_3}{r_{23}^2}[/tex]

 

            r₂₃ = [tex]\sqrt{(x_3-x_2)^2}[/tex]

            r₂₃ = [tex]\sqrt{(0.5 -0)} \ 10^{-3}[/tex]RA (-0.5 0) 2 103

            r₂₃ = 0.5 10⁻³ m

             F₂₃ = [tex]\frac{9 \ 10^{9}\ 40\ 10^{-9} \ 48.0\ 10^{-9} x}{(0.5 \ 10^{-3})^2 }[/tex]

             F₂₃ = 6.912 10¹ N

             F₂₃ = 69.12 N

as the two charges are of the same sign, the force is repulsive, therefore it is directed to the left

the total force is

            F = total = 3.598 - 69.12

            F_total = -65.5 N

the negative sign indicates that the force is to the left

An objects motion changes

Answers

Answer:

uh finish the question please lol.

Full-length mirrors used while dressing are:
plane mirrors
concave mirrors
convex mirrors

Answers

Answer:

Plane mirror.

Explanation:

Plane mirrors are a flat piece of glass coated with a metal alloy, which allows the glass to reflect a clear image, so the answer is plane mirror.

g Light is a traveling wave! The oscillations are oscillations of electric fields. The electric fields oscillate in the y-direction while the light travels in the x direction, so we can create a wave equation Ey(x,t); Ey is the y-component of the electric field, x is position in meters, and t is time in seconds. Consider light with a wave length of 550 nanometers, a wave speed of 3.00 x 108 m/s , and an amplitude of 10 V/m (volts/meters). Construct the traveling wave equation for this light if at t = 0 seconds, the light is at its maximum positive value and is traveling in the negative x-direction. Your equation, Ey(x,t) , should only have the variables x and t (i.e. calculate the values of the relevant traveling wave quantities to three sig figures and use those in the equation you are constructing, do not use the symbols in your final answer).

Answers

Answer:

  [tex]E_{y} (x,t)[/tex]= 10 cos (1.15 10⁻¹¹ x - 3.427 10¹⁵ t)

Explanation:

The general equation of a traveling wave on the x-axis is

        [tex]E_{y}(x,t)[/tex] = E₀ cos (kx -wt)

the amplitude of the wave is E₀ = 10 V / m

the wave number is

         k = 2π /λ

indicate the value of   λ = 550 nm = 550 10⁻⁹ m

we substitute

         k = 2π / 550 10⁻⁹

         k = 1.15 10⁻¹¹ m⁻¹

angular velocity is related to frequency

          w = 2πf

           

the speed of light is related to the wavelength and frequency

           c = λ f

           f = c /λ

we substitute

           w = [tex]2\pi \frac{c}\lambda }[/tex]

           w = 2π  3 10⁸/550 10⁻⁹

           w = 3.427 10¹⁵ rad / s

we substitute in the electric field equation

           [tex]E_{y} (x,t)[/tex]= 10 cos (1.15 10⁻¹¹ x - 3.427 10¹⁵ t)

Let's test the value of this wave for t = 0 at the point x = 0, the wave is worth

           Ey (0,0) = 10

which corresponds to its maximum positive value, therefore this is the expression of the traveling wave

If my candle has a brightness of 15 candela from a distance of 2 meter. What would the brightness be at a distance of 6 meters?

Answers

Answer:

5 candela

Explanation:

Let the candle brightness be B

Let the distance be d

The candle brightness is inversely proportional to the distance

B α 1/d

B = k/d

If my candle has a brightness of 15 candela from a distance of 2 meter, then;

15 = k/2

k = 30

To get the brightness when the distance is 6m;

B = k/d

B = 30/6

B = 5 candela

Hence the brightness will be 5 candela

What distance will a car cover while uniformly accelerating from 12 m/s to 26 m/s in 14 seconds?

Answers

Answer:

266 m

Explanation:

Czocharalski process ​

Answers

Answer:

The Czochralski method, also Czochralski technique or Czochralski process, is a method of crystal growth used to obtain single crystals of semiconductors, metals, salts and synthetic gemstones

Explanation:

hope it helps:)

A team of scientists is researching the best way to use tides to produce energy. One team includes environmental
scientists.
Which other branch of Earth science would these scientists most likely represent?
-geology
-astronomy
-meteorology
-oceanography

Answers

Geology because It is the study of processes that shape Earth.

Answer:

agree with above answer

In a hydraulic press, a force of 200 N is applied to master piston of area of 25cm-2. If the press is designed to produce a force of 5000N, determine
a:the area of the slave piston
b:the radius of the slave piston

Answers

Answer:

[tex]625\ \text{cm}^2[/tex]

[tex]14.1\ \text{cm}[/tex]

Explanation:

[tex]F_1[/tex] = Force applied to master piston = 200 N

[tex]F_2[/tex] = Force applied to slave piston = 5000 N

[tex]A_1[/tex] = Area of master piston = [tex]25\ \text{cm}^2[/tex]

[tex]A_2[/tex] = Area of slave piston

r = Radius of slave piston

From Pascal's law we have

[tex]\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}\\\Rightarrow A_2=\dfrac{F_2}{F_1}A_1\\\Rightarrow A_2=\dfrac{5000}{200}\times 25\\\Rightarrow A_2=625\ \text{cm}^2[/tex]

The area of the slave piston is [tex]625\ \text{cm}^2[/tex]

Area of the slave piston is given by

[tex]A_2=\pi r^2\\\Rightarrow r=\sqrt{\dfrac{A_2}{\pi}}\\\Rightarrow r=\sqrt{\dfrac{625}{\pi}}\\\Rightarrow r=14.1\ \text{cm}[/tex]

The radius of the slave piston is [tex]14.1\ \text{cm}[/tex].

An electrically charged point particle with a mass of 1.41 x 10-6 kg is launched horizontally into a uniform electric field with a magnitude of 686 N/C. The particle's initial velocity is 5.39 m/s, directed eastward, and the external electric field is also directed eastward. A short time after being launched, the particle is 9.89 x 10-3 m below and 0.151 m east of its initial position. Determine the net charge carried by the particle, including the algebraic sign ( or -).

Answers

Answer:

the net charge carried by the particle is -2.35 × 10⁻⁷ C

Explanation:

Given that;

mass m = 1.41 × 10⁻⁶ kg

Magnitude E = 686 N/C

v = 5.93 m/s

A short time after being launched, the particle is 9.89 x 10-3 m below and 0.151 m east of its initial position

consider vertical;

u =0, y = 9.89 × 10⁻³ m, g = a = 9.8 m/s²

Now, from the second equation of motion;

s = ut + 1/2 × at²

so, y = ut + 1/2 × at²

we substitute

9.89 × 10⁻³ = 0×t + (1/2 × 9.8 × t²)

9.89 × 10⁻³ = 4.9t²

t² = 9.89 × 10⁻³ / 4.9

t² = 0.0201836

t = √0.00201836

t = 0.0449 s

Consider horizontal;

u = 5.93 m/s, a = (qE/m) m/s, t = 0.0449 s, x = 0.151 m

also, from the second equation of motion;

s = ut + 1/2 × at²

so

x =  ut + 1/2 ×  (qE/m) × t²

we substitute

0.151 =  (5.93 × 0.0449) + (1/2 ×  ((q×686)/1.41 × 10⁻⁶) × (0.0449 )²

0.151 = 0.266257 +  0.69149143q / 1.41 × 10⁻⁶

0.151 - 0.266257 =  0.69149143q / 1.41 × 10⁻⁶

-0.115257 = 0.69149143q / 1.41 × 10⁻⁶

-0.115257 × 1.41 × 10⁻⁶ = 0.69149143q

0.69149143q = -1.6251237 × 10⁻⁷

q = -1.6251237 × 10⁻⁷ / 0.69149143

q = -2.35 × 10⁻⁷ C

Therefore, the net charge carried by the particle is -2.35 × 10⁻⁷ C

Which activities demonstrate speed the most?
Look at pic

Answers

B: Sprinting. It is the best answer because it demonstrates speed better than the others

What does the following figure illustrate?
^
+

Answers

Answer:

Intterferance

Explanation:

I took the test

At what rate is thermal energy being generated in the 2R-resistor when  = 12 V and R = 3.0 ?



a. 12 W
b. 24 W
c. 6.0 W
d. 3.0 W
e. 1.5 W

Answers

If there's nothing else connected to the battery except the 3-ohm resistor, then the question is defective and the correct answer is not on the list.

With 12v connected across the resistor, the current through the resistor is

I = (E/R) = (12/3) = 4 Amperes.

The power generated inside a resistor is

P = (E x I) = (12v) x (4 A) = 48 watts

A 800-w iron is left on the ironing board with the base exposed to the air. About 85 percent of the heat generated by iron dissipate through its base with surface area of 0.15 ft2 . Calculate the amount of heat the iron dissipates in 2 hours, the heat flux on the surface of iron and total cost of electricity wasted in 2 hours if unit cost of electricity to be $0.11kwh.

Answers

Answer:

ΔQ = 4896 KJ

Heat Flux = 57407.55 W/m²

Cost = $ 0.176

Explanation:

The amount of heat dissipated in two hours can be given as:

[tex]Heat\ Dissipation = \Delta Q = Pt\eta[/tex]

where,

P = Power of Iron = 800 W

t = time taken = 2 hrs

η = Conversion efficiency = 85% = 0.85

[tex]\Delta Q = (800\ W)(7200\ s)(0.85)\\\\[/tex]

ΔQ = 4896 KJ

Now, for heat flux:

[tex]Heat\ Flux = \frac{P}{Surface\ Area}\\\\Heat\ Flux = \frac{800\ W}{0.15\ ft^{2}}\frac{1\ ft^{2}}{0.092903\ m^{2}}[/tex]

Heat Flux = 57407.55 W/m²

Now, for total heat energy in KWhr in two hours:

[tex]Heat\ Energy = (Power)(Time)\\\\Heat\ Energy = (0.8\ KW)(2\ hr)\\\\Heat\ Energy = 1.6\ KWh[/tex]

Now, for the cost:

[tex]Cost = (Heat\ Energy)(Unit\ Cost)\\Cost = (1.6\ KWh)(\$ 0.11\ /KWh)[/tex]

Cost = $ 0.176

How do I fix my task bar thing

Answers

Answer:

go to settings and find what your looking for

Explanation:

A 0.85 N force exists between a 7.1 * 10 ^ - 6 * C charge 5.4 m away. What is the magnitude of the second charge ? Please show work

Answers

Answer:

Explanation:

Force between charge is given by the following expression

F = k Q₁ Q₂ / R² , k = 9 x 10⁹ , Q₁ and Q₂ are charges , R is distance between charges .

Putting the given values ,

.85  = 9 x 10⁹ x 7.1 x 10⁻⁶ x Q₂ / 5.4²

Q₂ = .85 x  5.4² / (9 x 10⁹ x 7.1 x 10⁻⁶ )

= .38788  x 10⁻³ C .

= 387.88 x 10⁻⁶ C .

Two forces, one four times as large as the other, pull in the same direction on a 10kg mass and impart to it an acceleration of 2.5 m/s2. If the smaller force is removed, what is the acceleration of the mass?

Answers

Answer:

2 m/s²

Explanation:

Given,

Mass of the block = 10 Kg

Acceleration = 2.5 m/s²

Let the smaller force = F

Bigger force = 4 F

Now,

F + 4F = m a

5F = 10 x 2.5

F = 5 N

If smaller mass is removed acceleration = ?

4F = m a

4 x 5 = 10 x a

[tex]a=\frac{20}{10}[/tex]

a = 2 m/s²

Acceleration of the mass is equal to 2 m/s².

1. Two-point charges, QA = +8 μC and QB = -5 μC, are separated by a distance r = 10 cm. What is the magnitude and direction of the electric force? The constant k = 9 x 109 N-m2/C2
Solution:

Answers

Answer:

F = 36 N

Explanation:

Given that,

Charge, q₁ = +8 μC

Charge, q₂ = -5 μC

The distance between the charges, r = 10 cm = 0.1 m

We need to find the magnitude of the electrostatic force. The formula for the electrostatic force is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}\\\\F=\dfrac{9\times 10^9\times8\times 10^{-6}\times 5\times 10^{-6}}{(0.1)^2}\\F=36\ N[/tex]

So, the magnitude of the electrostatic force is 36 N.

g Water at 25C, 20 bar is heated under constant pressure.a) Determine the final state if the amount of heat is 500 kJ/kgb) Determine the final state if the amount of heat is 1500 kJ/kgc) Determine the final state if the amount of heat is 3000 kJ/kg

Answers

Answer:

Explanation:

Given that:

At the inlet:

Temperature [tex]T_1 = 25^0 \ C[/tex]

Pressure [tex]P_1[/tex] = 20bar = 2000 kPa

At the outlet:

[tex]P_2 = 2000 \ kPa[/tex]

a)

Q = 500 kJ/kg

Using the steam tables to determine the properties of water;

[tex]h_1 = 106.6863 \ kJ/kg \\ \\ h_2 -h_1 = 500 \\ \\ h_2 = (500 + 106.6863) \ kJ/kg \\ \\ h_2 = 606.68 \ kJ/kg[/tex]

[tex]at \ p_{sat}= 2000 \ kPa; \ h_f = 908.47 \kJ/kg; \ h_g = 2798.3 \ kJ/kg} \\ \\ h_2< h_f; \text{thus, the soil is compressed or subcooled liquid}[/tex]

b)

[tex]Q = 1500 \ kJ/kg\\ \\ Q= (h_2-h_1) \\ \\ h_2 = 1500 + 106.6863 \\ \\ h_2 = 1606.6863 \ kJ/kg \\ \\ h_f < h_2<hg \ at \ 2000 \ kPa[/tex]

Thus, the outlet steam will be a vapor-liquid mixture at 212.38° C

c)

[tex]Q = 3000 \ kJ/kg \\ \\ Q = h_2 -h_1 \\ \\ h_2 = Q + h_1 \\ \\ h_2 = 3000 + 106.6863 \\ \\ h_2 = 3106.6863 \ kJ/kg\\ \\ h_2 > hg \ at \ 2000 \ kPa[/tex]

Thus, the outlet steam will be a superheated vapor at 380° C

a transformer with an input emf of 240volts and output of 960volts has 720 turns in the secondary coil. what is the number of coil in the primary coil?​

Answers

Answer:

180 turns

Explanation:

Given data

Vi= 240 volts

Vo= 960volts

Ns= 720 turns

Required

The amount of Primary turns Np

The expression relating voltage and turns in a transformer is given as

Np/Ns= Vi/Vo

substitute

Np/720= 240/960

cross multiply

720*240= Np*960

172800= Np*960

Np= 172800/960

Np= 180

Hence the primary turns is 180 turns

True or False
A curved line indicates a constant velocity

Answers

Answer:

false this is correct answer of this question

Why are rocks made of limestone usually an indication that an area was previously covered by ocean water

Answers

Answer:

what's the question? I don't understand

Answer:

Limestone can from form shell fragments of sea creatures

Explanation:

Bearing in mind that a sound reflects off an object if the object is larger than the wavelength of the sound, calculate the wavelength of a sound in the air for a sound in the middle of the human hearing range. Then calculate the wavelength for a sound in the middle of the bat hearing range. If you had to use echolocation to detect an insect, which sound has an advantage

Answers

Answer:

mucilage can detect objects the size of millimeters, whereas humans can only detect objects larger than centimeters

Explanation:

The human ear can detect sound in the range of 20 to 20000hz, we are asked to find the mid-range wavelength of the ear at f = 10000 Hz

let's use the relationship between wave speed, wavelength and frequency

           v = λ f

           λ= v / f

           λ = 343/10000

           λ = 3.43 10⁻² m

the sound range of a bat is between 25 10³ Hz and 100 10³ Hz, they also ask for the wavelength in the middle range

         

          f = (100 10³ + 25 10³) / 2

          f = 62.5 10³ Hz

          λ = 343 / 62.5 10³

          λ = 5.5 10⁻³ m

Therefore the size of the object that a bat can detect is much smaller than the size that a human can detect, therefore the bat is capable of detecting insects, but humans.

The mucilage can detect objects the size of millimeters, whereas humans can only detect objects larger than centimeters

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Explanation:

option A is the correct answer of this question .

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