The intensity delivered to the eardrum is [tex]3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex].
What is intensity?
The area is measured on a plane perpendicular to the direction of the energy's transmission, and the power transferred per unit area is known in physics as the intensity or flux of radiant radiation. The SI system's fundamental units are watts per square meter. The average power transmission across the course of a wave, such as sound waves or electromagnetic waves like light or radio waves, is referred to as the "intensity" of the wave. The term "intensity" can be used to characterize a wide range of energy exchange scenarios. For example, one may calculate the amount of kinetic energy that each drop of water from a sprinkler is carrying. It is possible to determine intensity using the energy density.
Calculations:
[tex]${\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$ and ${\beta _2} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right)$$ = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right) - 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$[/tex][tex]$ \ {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}} \times \dfrac{{{I_0}}}{{{I_1}}}} \right)$ [Using $\log a - \log b = \log \left( {\dfrac{a}{b}} \right)$][/tex]
[tex]$ \arrow = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)$\[ \arrow = \dfrac{{{\beta _2} - {\beta _1}}}{{10}} = {\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)\][/tex]
[tex]\[ \arrow ={10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}} = \dfrac{{{I_2}}}{{{I_1}}}\]\[ \arrow ={I_2} = {I_1}{10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}}\]Thus, we have ${I_2} = 3.0 \times {10^{ - 11}}\,W/{m^2} \times {10^{\dfrac{{30.0}}{{10}}}}$$ \arrow= {I_2} = 3.0 \times {10^{ - 11}} \times {10^3}\,W/{m^2}$$ \arrow ={I_2} = 3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex]
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Owen and Dina are at rest in frame S' , which is moving at 0.600 c with respect to frame S . They play a game of catch while Ed , at rest in frame S , watches the action (Fig. P39.75). Owen throws the ball to Dina at 0.800 c (according to Owen), and their separation (measured in S' ) is equal to 1.80 × 10¹²m .(e) what time interval is required for the ball to reach Dina?
The time interval with respect to Ed is 4.88 ×10³ s.
A frame of reference is a set of reference points—geometric points whose positions are known mathematically and physically—that define the origin, orientation, and scale of an abstract coordinate system.
If a body does not continuously adjust its position in relation to its environment throughout the course of time, it is said to be at rest.
In the frame S', Dina and Owen are at rest.
The speed of the ball with respect to Owen, u =0.800c
The speed of the frame S' with respect to frame S, v = 0.600c
Distance between Dina and Owen, L(p) = 1.8 × 10¹² m
Speed of light, c = 3 × 10⁸ m/s
Now, for time intervals using the Lorentz transformation equation:
Δt = 1 / [ √( 1 - (v²/c²)] ( Δt' + (vΔx'/c²))
Now, v = 0.6c as S' is moving with respect to frame S.
Hence, the time taken is:
Δt = 1 / [ √( 1 - ((0.6c)²/c²)] ( 7.5 ×10³ + [(-0.6c)(1.8 × 10¹²)/c²))
Δt = 1.25( 75000 - 3600)
Δt = 4.88 ×10³ s
The total time taken by the ball with respect to Ed is 4.88 ×10³ s.
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It takes a sample of molecules 10 s to diffuse 1.0 mm. how long will it take to diffuse 2.0 mm ?
The time taken to diffuse 2.00 mm will be 20 seconds.
The velocity of diffusion(v) is given by the following formula:
v = Distance/Time
We are given that it takes a sample of molecules 10 seconds to diffuse 1.00 mm.
Thus, its velocity is
v = 1.0 mm/10 s = 0.1 mm/s
In the second case, the distance is given, so we can calculate the time required for diffusion by again applying the same formula
0.1 = 2.00 mm/Time
On rearranging above equation, we get
Time = 20 seconds
Thus, the time taken to diffuse 2.00 mm will be 20 seconds.
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In a long, straight, vertical lightning stroke, electrons move downward and positive ions move upward and constitute a current of magnitude 20.0kA. At a location 50.0m east of the middle of the stroke, a free electron drifts through the air toward the west with a speed of 300 m/s . (a) Make a sketch showing the various vectors involved. Ignore the effect of the Earth's magnetic field.
A magnetic field, often known as a vector field, describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A force acting on a charge while it travels through a magnetic field is perpendicular to both the charge's motion and the magnetic field.
In a long, straight, vertical lightning stroke, downward-moving electrons and upward-moving positive ions produce a current of magnitude I = 20.0 kA.
At a location r = 50.0 m east of the stroke's center, a free electron is moving through the atmosphere at a speed of v = 300 m/s.
Let B represent the magnetic field and F represent the magnetic force. The vector sketch may then be represented as follows:
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When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.
When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called diffraction.
Diffraction refers to the phenomenon in which a propagating wave bends when it encounters an obstacle or a slit, especially when the obstacle or slit is similar in size to the wavelength of the wave.
The characteristic pattern produced from a diffracted wave is as a result of the interference of individual spherical wavelets, as described by the Huygens–Fresnel principle. Diffraction occurs in all waves, including water waves, sound waves, electromagnetic waves and even gravitational waves.
Sound waves can also diffract around objects. For example, a person is able to hear his name being called even though he is standing at the other side of an obstacle, as the sound waves bend around the obstacle.
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what happens when a charged insulator is placed near an uncharged metallic object? they exert no electrostatic force on each other. they repel each other. they may attract or repel each other, depending on whether the charge on the insulator is positive or negative. the charged insulator always spontaneously discharges. they attract each other.
A metallic item becomes polarised when a charged insulator is brought close to it, as a result of the free charges in the metal moving about. The centre of charge for the type of charge opposite to that on the insulator will be positioned within the metallic item closer to the charged insulator .
What happens if a charged insulator comes into contact with a conductor?When a negatively charged insulator is in contact with a positively charged conductor, the extra negatively charged electrons will migrate to the conductor until they would prefer not to move at all. We refer to this as the system having attained equilibrium when it occurs.
When an uncharged metal item and a charged insulator are positioned close to one another, the charged insulator will induce the opposite charge, and the two objects will be drawn to one another.
The insulator and a metallic item are therefore attracted to one another by the net electric force.
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An 80.8kg man is standing on a frictionless ice surface when he throws a 2.3kg book at 11.8m/s. with what velocity does the man move across the ice?
The man moves across the ice with a velocity of -1 m/s.
Formula:
To calculate the velocity we would be using the formula,
M₁U₁ + M₂U₂ = M₁V₁+ M₂V₂
Given:
After applying the law of linear momentum, we get the following value before the throw;
M₁ = Man's initial mass= 80kg,
U₁ = Initial velocity of Man = 0,
M₂= Initial mass of Book = 4kg,
U₂= Initial velocity of Book = 0.
After the throw, the book's velocity will be
M₁ = Man final mass = 80kg,
V₁ = Man's final velocity = V.
M₂ = Final mass of Book = 4kg,
V₂ = Final velocity of Book = 20 m/s
After substituting the values in the formula, we get,
M₁U₁ + M₂U₂ = M₁V₁+ M₂V₂
Or, (80 x 0) + (4 x 0) = (80V) + (4 x 20)
Or, 0 = 80V + 80
Or, 80V = -80
Or, V = -80/80
V= -1m/s
[Note: The -ve sign shows the opposite direction]
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A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of λ, and the cylinder has a net charge per unit length of 2λ . From this information, use Gauss's law to find (a) the charge per unit length on the inner surface of the cyli
The charge per unit length on the inner surface of the cylinder is 3λL.
The electric flux across any closed surface is proportional to the net electric charge q enclosed by the surface, according to Gauss's law of electricity, which reads as = q/0, where 0 is the electric permittivity of free space, which has a value of 8.854 10-12 square coulombs per newton per square meter.
Here, q stands for charge.
Volt-metres (V m), the SI base unit of electric flux, is also equivalent to newton-meters squared per coulomb (N m2 C-1). On top of that, the fundamental units of electric flux are kgm3s-3A-1.
Q 1 = L as a result of the wire's induction of the cylinder's inner surface.
"q cylinder" is equal to "q in + q out" (cylinder).
L = L + q out
⇒q out =λL+(2λ)
L = q out =3λL
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Standing at a crosswalk, you hear a frequency of 560 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 480 Hz . Determine the ambulance's speed from these observations.
[tex]Given data : f01 = 560 hz f02 = 480 hz vs = 340 m/s ( velocity of sound ) vx = velocity of source ( police car )Condition 1 when source approach observer : f01 =[ vs /( vs - vx )].fs ...........(1)Condition 2 when source passes observer : f02 = [vs /( vs + vx) ].fs ............(2)eq(1) : eq (2) we get : f01 / f02 = ( vs + vx )/( vs - vx ) 7/6 = ( 340 + vx ) / ( 340 - vx )[/tex][tex]solve this equation get vx = 26.15 m/s[/tex]
What is frequency?The frequency of a repeated event is its number of instances per unit of time. In certain cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One (event) per second is equal to one hertz (Hz), which is how frequency is stated. The period is the reciprocal of the frequency since it represents the length of time for one cycle in a recurring occurrence. For instance, the period, T—the space between beats—of a heart beating at a frequency of 120 beats per minute (2 hertz), is equal to 0.5 seconds (60 seconds divided by 120 beats).
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at the surface of a freshwater spring, a manatee with a small amount of air in its lungs is neutrally buoyant. the manatee now dives to a depth of 10 m.
At a depth of 10 m, the manatee's neutral buoyancy keeps it at the same level in water as if there were no air inside its lungs. However, because more air is now contained in the manatee's lungs than before it dove, its weight increases by 9.81 kg and therefore it accelerates downwards (due to momentum). This downward acceleration continues until equilibrium is reached and then ceases due to gravity pulling on both objects equally.
As a result, the manatee now becomes negatively buoyant and must rise to compensate.
What does it mean when something has neutral buoyancy?When something has neutral buoyancy, it is not affected by the weight of anything above or below it.
This means that objects with neutral buoyancy will stay in place regardless of how high or low they are located in a liquid medium.
Examples of things with neutral buoyancy include air balloons and swimming caps.
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A middle distance runner runs at an average speed of 6 m/s. How long will it take him to run 1500 m, give your answer in seconds. Convert your answer to minutes.
Answer:
480 meters
Explanation:
(a) A proton moving with velocity →v = vi experiences a magnetic force →F = Fi(j) . Explain what you can and cannot infer about \overrightarrow{\mathbf{B}} from this information.
The current must be along +x axis.
What is electric current?
A stream of charged particles, such electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current. It is calculated as the net rate of passage of electric charge through a surface or into a control volume. Charge carriers, which can be any one of a number of particle kinds depending on the conductor, are the moving particles. Electrons travelling through a wire are frequently the charge carriers in electric circuits. They may be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons make up plasma, an ionized gas.
Explanation:
Given,
Velocity of proton,V = [tex]V_{i} i[/tex]
Magnetic force,F = [tex]F_{i} j[/tex]
Magnetic Field= B
(a)
If proton (p+) is moving in ve x-direction.
So,current(I) must be along +x axis.
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An apple is falling from a tree. Disregarding air resistance, which diagram shows the free-body diagram of the force or forces acting on the apple?
Answer:
The straight down arrow
Explanation:
Next time add a picture to also help those who would like to answer. :)
a horse track is a loop where the starting point and the finish line are at the same point. a horse gallops around a 400 m track in 20 s. calculate the velocity of the horse.
The velocity of the horse as it travels through the track is 20 m/s.
What is velocity?Velocity can be defined as the ratio of distance or displacement to time.
To calculate the velocity of the the horse, we use the formula below.
Formula:
v = d/t............... Equation 1Where:
v = velocity of the horsed = distancet = timeFrom the question,
Given:
d = 400 mt = 20 sSubstitute these values into equation 1
v = 400/20v = 20 m/s²Hence, the velocity of the horse as it travels through the track is 20 m/s.
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Answer:
A. 2s
Explanation:
time = distance ÷ speed
T = .2 ÷.1
T= 2
if you Launch a cannonball at a launch angle of 55° and an initial speed of 30m/s. What is the cannonball's range?
Answer:
86.2 m range
Explanation:
Vertical component of initial shot = 30 sin 55= 24.575 m/s
Now you can find out for how long it is in the air
when it hits the ground , position = 0
0 = 24.575 t - 1/2 ( 9.81) t ^2
finds t = 5.01 seconds (Using quadratic formula)
HORIZONTAL component = 30 cos 55 = 17.21 m/s
it travels this speed for 5.01 seconds
5.01 * 17.21 = 86.2 m
a 1,500 kg car moving with a speed of 4.00 m/s collides with a 50,000 kg truck moving with a speed of 1.80 m/s in the same direction. if the collision is perfectly inelastic, the change in kinetic energy of the car is . group of answer choices -14,600 j -9,390 j none of these -2,600 j 12,000 j
the change in kinetic energy of the car is None of these
perfectly inelastic collision - It is the physical process. Of one object which strike against another without conserving the kinetic energy of to object.
m₁ = 1,500 kg (mass of car)
v₁ = 4.00m/s (velocity of car)
m₂= 50000kg (mass of truck)
v₂ = 1.80m/s (velocity of truck)
for perfectly elastic collision
[tex]v_{f}[/tex]=?
[tex]m_{1} .v_{1,i} + m_{2} .v_{2,i} =( m_{1} + m_{2} ).v_{f}[/tex]
1500*4 + 50000*1.80
= (1500 + 50000) [tex]v_{f}[/tex]
[tex]v_{f}[/tex] = 1.864 m/s
Initial kinetic energy is
K.E (i) = [tex]\frac{1}{2} m_{1} .v_{1,i} ^{2} + \frac{1}{2} m_{2} .v_{2,i}^{2}[/tex]
[tex]\frac{1}{2}[/tex]× [(1500*4²) +(50000)*(1.8)²
= 93000J
Final kinetic energy is
K.E = [tex]\frac{1}{2}(m_{1} +m_{2} )v_{f}^{2}[/tex]
[tex]\frac{1}{2}[/tex]× ((1500+50000)*(1.864 )²
= 89476 J
Change in kinetic Energy
K.E = K.E (f) - K.E (i)
= 89476 -93000
= -3524 J
the change in kinetic energy of the car is None of these
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an electron and a proton are fixed at a separation distance of 897 nm. find the magnitude ???? and the direction of the electric field at their midpoint.
The electric field at a midpoint is 1.425 x 10⁴ N/C.
We need to know about the electric fields to solve this problem. The electric field produced by a single-point positive charge is a radial field, whose strength is given by the equation
E = k.Q/r²
where E is the electric field, Q is the charge and r is the radius.
From the question above, we know that
k = 9 x 10⁹ Nm²/C²
Q1 =e = 1.6 x 10¯¹⁹ C
Q2 = e = 1.6 x 10¯¹⁹ C
x = 897 nm = 8.97 x 10¯⁷ m
from midpoint (r = 4.495 x 10¯⁷ m)
The electric field radially outward from proton to electron so that the total electric field between the charges will be added up.
Etotal = E1 + E2
Etotal = k.e/r² + k.e/r²
Etotal = 2. k.e/r²
Etotal = 2 x 9 x 10⁹ x 1.6 x 10¯¹⁹/(4.495 x 10¯⁷)²
Etotal = 1.425 x 10⁴ N/C
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The proportions and arrangement of atoms in any compound are always
the same
or
different
a mass on a spring undergoing simple harmonic motion completes 8 oscillations in 4.0 s. what is the period of the motion?
The period of oscillation is 0.5 second.
We need to know about period of oscillation to solve this problem. Period is how much time taken to do one oscillation. It can be determined as
T = t / n
where T is period, t is time and n is how many oscillations.
From the question above, we know that
n = 8
t = 4 s
By substituting the parameters, we get
T = t / n
T = 4 / 8
T = 0.5 second
Hence, the period of oscillation is 0.5 second.
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A seat on a Ferris wheel moves at a constant tangential speed around the wheel. If the seat is 7 m from the center of the wheel and has a tangential speed of 0.5 m/s, what centripetal acceleration does the seat experience?
0.04 m/s2
0.07 m/s2
0.1 m/s2
Answer:
centripetal acceleration formula
a = v²/r
v velocity
r radius
a= .5²/7
a = .25/7
a= .03571
ans .o3571
Answer:
A
Explanation:
A student times a car travelling a distance of 2m. She finds that it takes the car 5 seconds to travel the first meter, and 8 to travel the second meter. Is the car traveling at a constant speed? How do you know?
The car given in the question is not traveling at a constant speed as the time interval in which it to cover the equal distance is not equal.
Speed is the physical quantity that measures the rate at which the position of a body is changing with respect to its surrounding. Its S.I. unit is meters per second. And its dimensional equation is [[tex]LT^{-1}[/tex]]
Given in the Question
Time to travel first meter = 5 seconds
Time to travel second meter = 8 seconds
The body is said to be moving with a constant speed if it travels an equal distance in equal intervals of time.
But in the above-given condition, the car travels 1m in 5 seconds but travels the next 1m in 8 seconds. Here the distance traveled is equal but the time interval in which both distances are covered is not equal.
Therefore, the car is not traveling at a constant speed.
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Describe how you would measure the diameter of a tennis ball
What does small q show in the following formula: q1=q2=Q=CeqV?
Answer:
A parallel plate capacitor of capacitance C is charged using a battery. • Charge = Q, potential difference = V. • Battery is then disconnected.The electric field is a function of position, but does not depend on the test charge. It is a real entity, because we will show that it carries energy! Hope this helps!
The sound level at a distance of 3.00m from a source is 120dB . At what distance is the sound level (a) 100 dB
The distance at which the sound level is 100 dB is 30m.
What is distance?Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an estimate based on other factors (e.g. "two counties over"). |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and other social sciences.
Explanation:
We anticipate the radial distance to be 10 times greater, or 30 m, when the intensity is reduced by 20 dB, or by a factor of 102. A further 90 dB reduction might translate to an additional factor of 104.5 in terms of distance, or roughly 3030000m or 1000 miles. We measure sound intensity using the inverse square law and the decibel scale definition. According to the sound level definition,
β=10log[tex](\frac{1}{10^{-12}W/m^{2} } )[/tex]
We can compute the intensities corresponding to each of the levels mentioned as
[tex]I=[10^{\frac{\beta }{10} } ]10^{-12} W/m^{2}[/tex]
a. The power passing through any sphere around the source is
P=4π[tex]r^{2}[/tex]l
If we ignore absoption of sound by the medium,
conservation of energy requires that
[tex]r_{120} ^{2} I_{120} = r_{100}^{2} I_{100} =r_{10} ^{2} I_{10}[/tex]
then,[tex]r_{100} =r_{120} \sqrt{x} \frac{I_{120} }{I_{100} } =(3.00m)\sqrt{\frac{1\frac{W}{m^{2} } }{10^{-2}\frac{W}{m^{2} } } } =30 m[/tex]
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Giving brainliest!!! Pls answer
Is a rocket in the process of launching Balanced or Unbalanced force?
Answer: I don't know the right answer but it makes more sense for it to be balanced
Explanation:
orange light has a wavelength, λ, of 6.0 × 10-7 m. in a vacuum, the speed of light, c, is 3.0 × 108 m/s. what is the frequency, f, of the orange light? (remember: 1 hz
The frequency of orange light is 5 x 10¹⁴ Hz or 500 THz.
We need to know about photon frequency to solve this problem. The photon frequency can be determined as
f = c / λ
where f is frequency, c is speed of light (3x10⁸ m/s) and λ is wavelength.
From the question above, we know that:
c = 3x10⁸ m/s
λ = 6 x 10¯⁷ m
By substituting parameters, we get
f = c / λ
f = 3 x 10⁸ /( 6 x 10¯⁷ )
f = 5 x 10¹⁴ Hz
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Sam jumped from a plane. His acceleration was -9.8 m/s². He hit the ground in 30
seconds. What was his velocity just before he hit the ground?
The velocity of Sam just before hitting the ground is 294 m/s.
The above situation represents a case of motion in one dimension.
This type of motion is governed by the following three equations of motion,
v = u + at
v² - u² = 2as
S = ut + 1/2 at²
As in the given case, the acceleration and time have been given and the final velocity is to be calculated, therefore the 1st equation can be used,
v = u+ at
As Sam jumped from the plane, his initial velocity is zero.
So,
v = 0 + 9.8(30)
v = 294 m/s.
Thus, Sam's velocity just before hitting the ground is 294 m/s.
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As the people sing in church, the sound level everywhere inside is 101 dB . No sound is transmitted through the massive walls, but all the windows and doors are open on a summer morning. Their total area is 22.0 m² . (a) How much sound energy is radiated through the windows and doors in 20.0 min?
The sound energy radiated through the windows and doors in 20 min is 332.6 J.
What do you mean by Sound energy?When a force, such as sound or pressure, causes an item or substance to vibrate, the result is sound energy. That energy moves through the substance in waves. Those sound waves are called kinetic mechanical energy. Sound waves are sometimes dubbed mechanical waves because sound waves require a physical medium to propagate. Liquids, gases, or solid materials transfer pressure variations, creating mechanical energy in waves. Like all waves, sound waves include peaks and valleys. The peaks are called compressions, while rarefaction is the term used for the lows. The oscillations between compression and rarefaction move through gaseous, liquid, or solid media to produce energy. The number of compression/rarefaction cycles in a given period determines the frequency of a sound wave.
Sound energy = E = power x time
energy = force x time / area
Given:
sound level, [tex]\beta=101 dB[/tex]
Area, A = [tex]22\;m^{2}[/tex]
Time, [tex]\triangle t=20\;min=1200\;s[/tex]
Intensity, [tex]I_{o}=1 \times 10^{-12}\;W/m^{2}[/tex]
We know that, Sound level is,
[tex]\beta=10 \times log\frac{I}{I_{o} }[/tex]
Solving the above equation for sound intensity,
[tex]I=I_{o}\times 10^{\frac{\beta}{10} }[/tex]
[tex]I=I \times 10^{-12} \times 10^{\frac{101}{10} }[/tex]
[tex]I=0.0126\;W/m^{2}[/tex]
Therefore, The sound energy is,
[tex]E = P \times \triangle t[/tex]
Substitute [tex]P=I \times A[/tex] in the above equation,
[tex]E = I \times A \times \triangle t[/tex]
[tex]E = 0.0126 \times 22 \times 1200[/tex]
[tex]E = 332.6\;J[/tex]
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1. A cat weighs 8.9 pounds. What is its weight in kilograms?
2. How many grams are in 5.4 kilograms?
3. A marathoner runs 26.2 miles in the New York marathon. What distance did she run in kilometers?
4. You drink 1000 mL of Mountain Dew. How many fluid ounces did you consume?
5. A flash drive can hold up to 8 Megabytes of information. How many centibytes can it hold?
Show ALL Work and Use 3 sig figs
The weight of the car in kilogram is 4.04 kg.
The Mass of the substance in grams is 5,400 g.
The Distance of the marathoner in kilometers is 42.2 km.
The Volume of the Mountain dew in ounces is 33.8 oz.
The Capacity of the flash drive in centibytes is 8 x 10⁸ CB.
What is unit conversion?Unit conversion is used to convert the units of some measurement into other units.
The weight of the car in kilogram is calculated as follows;
1 pound = 0.453592 kg
8.9 pounds = ?
= (8.9 x 0.453592 kg)
= 4.04 kg
The mass of the substance in grams is calculated as follows;
1 kg = 1000 g
5.4 kg = ?
= (5.4 x 1000 g)
= 5,400 g
The distance of the marathoner in kilometers is calculated as follows;
1 mile = 1.609 km
26.2 miles = ?
= (26.2 x 1.609 km)
= 42.2 km
The volume of the Mountain dew in ounces is calculated as follows;
1 ml = 0.0338 oz
1000 ml = ?
= (1000 x 0.0338 oz)
= 33.8 oz
The capacity of the flash drive in centibytes is calculated as follows;
1 MB = 1 x 10⁸ CB
8 MB = ?
= (8 x 10⁸ CB)
= 8 x 10⁸ CB
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Two parallel wires separated by 4.00cm repel each other with a force per unit length of 2.00×10⁻⁴ N/m . The current in one wire is 5.00 A. (b) Are the currents in the same direction or in opposite directions?
The currents in the wires are in opposite directions.
Two long parallel wires separated by a distance 'r' having current I₁ and I₂ have force per unit length that is given by [tex]f=\frac{u_0 I_1I_2}{2\pi r}[/tex] .....(1) where is permittivity of free house whose worth is [tex]4\pi \times10^{-7}Tm/A[/tex]If this flowing through the wire are in same direction then they the wire attract each other and if this flowing through the wire are opposite in direction then they the wire repel each other .
As it is given that a pair of wires repel each {other} which suggests that current inside the wires area unit in other means .
Hence current flowing through wires area unit opposite in direction.
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A proton moves at 0.950 c . Calculate its (c) kinetic energy.
The kinetic energy of the proton is 1982.31 MeV.
We need to know about relativistic energy to solve this problem. The rest energy of the object can be determined by
Eo = m₀ . c²
where Eo is rest energy, m₀ is rest mass and c is the speed of light (3 x 10⁸ m/s).
The total energy of object can be described as
E = Eo / √(1 - v²/c²)
where E is total energy, v is the object speed.
Kinetic energy can be defined as energy change from rest energy until total energy. It can be determined as
KE = E - Eo
where KE is kinetic energy.
From the question above, we know that :
m₀ = 1.6 x 10¯²⁷ kg
c = 3 x 10⁸ m/s
v = 0.95c
Find the rest energy
Eo = m₀ . c²
Eo = 1.6 x 10¯²⁷ . (3 x 10⁸)²
Eo = 1.44 x 10¯¹⁰ joule
Eo = 1.44 x 10¯¹⁰ / (1.6 x 10¯¹⁹) eV
Eo = 900 x 10⁶ eV
Eo = 900 MeV
Determine the total energy
E = Eo / √(1 - v²/c²)
E = 900 / √(1 - (0.95c)²/c²)
E = 900 / 0.31
E = 2882.31 MeV
Calculate the kinetic energy
KE = E - Eo
KE = 2882.31 MeV - 900 MeV
KE = 1982.31 MeV
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