The amplitudes of the electric and magnetic fields in the wave at a distance of 15.0 m from the source are approximately E0 = 4.69 x 10⁻⁶ N/C and B0 = 1.56 x 10⁻¹⁴ T.
The power radiated by a point source is given by:
P = (1/2)ε0cE0²A
where ε0 is the permittivity of free space, c is the speed of light, E0 is the amplitude of the electric field, and A is the surface area of a sphere centered on the source with radius equal to the distance from the source.
Solving for E0, we get:
E0 = sqrt(2P/(ε0cA))
The surface area of a sphere with radius 15.0 m is:
A = 4πR² = 4π(15.0 m)² = 2827 m²
Substituting the given values, we get:
E0 = √(2(960 W)/(8.854 x 10¹² C²/(Nm²) x 3 x 10⁸ m/s x 2827 m²))
= 4.69 x 10⁻⁶ N/C
The amplitude of the magnetic field is related to the amplitude of the electric field by:
B0 = E0/c
Substituting the given values, we get:
B0 = (4.69 x 10⁻⁶ N/C)/(3 x 10⁸ m/s) = 1.56 x 10⁻¹⁴ T
As a result, the amplitudes of the electric and magnetic fields in the wave at 15.0 m from the source are almost equal E0 = 4.69 x 10⁻⁶ N/C and B0 = 1.56 x 10⁻¹⁴ T.
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A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute.
A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute. The expression for the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r is dr/dh =- r/2h
The following formula determines a cylinder's volume:
V = πr²h,
where V is the volume, r is the cylinder's radius, and h is the cylinder's height.
In terms of height h and radius r, we must express the rate at which the clay's radius changes in relation to its height.
That means that height h and radius r are used to express dr / dh. To accomplish this, we must first compare the volume to the height, or find dV / dh:
V = πr²h
dv/dh = d/dh ( πr²h)
dv/dh =πr²+2 πrh dr/dh
The volume constance dV/dh = 0
dv/dh =πr²+2 πrh dr/dh
0=πr²+2 πrh dr/dh
-πr² =2 πrh dr/dh
dr/dh = - -πr² / 2 πrh
dr/dh =- r/2h
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PLEASE HELP
Fill in the blanks to correctly complete the statement.
The motion of an object moving with uniform circular motion is always_______
to the circle, so the speed of an object moving in a circle is known as _______
speed.
Answer:
The first one is tangent, second is tangential.
A police car is heading towards you with its siren blaring. Explain what is
happening to the wavelength as the police car is moving towards you and what is
happening to the wavelength as the police car moves away from you.Write 2-3 sentences.
A higher pitch siren is audible to this person. The sound waves become less frequent as they get more spaced apart as the police car moves off.
How to define wavelengthThe distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has traveled in space or over a wire. In wireless systems, this length is frequently specified in meters (m), centimeters (cm), or millimeters (mm) (mm).
How do you define frequency and wavelength?The wavelength, which is also the distance between two wave crests and troughs, is the measurement of wave length. In cycles per second (Hz), the term "frequency" refers to the number of vibrations that cross a specific area in a second (Hertz).
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Find the force of gravity acting on the following object 1.2 kg rabbit
The force of gravity which is the same as weight of the object is 11.8 N
What is Weight ?Weight can be defined as a gravitational pull on any object in space under the influence of acceleration due to gravity. The force of gravity acting on an object is also known as weight.
To find the force of gravity acting on the 1.2 Kg rabbit, let us use the formula below
W = mg
Where
Weight W = ?Mass m = 1.2 KgAcceleration due to gravity g = 9.8 m/s²Substitute all the parameters
W = 1.2 × 9.8
W = 11.76 N
Therefore, the force of gravity acting on the 1.2 kg rabbit is 11.8 N approximately.
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A marching band is practicing. the band director sees the drum major hit a drum. how far away is the director if he hears the drumbeat in 0.40 seconds? the speed of sound is 330 m/s.
The distance between the director and the drum is 132 m.
how to calculate the distance between the director and source of the sound?Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration. the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear. The formula of the sound in correlation with time of hear and distance is time of hear = speed of sound : distance. As per data given, time of hear = 0.40s; speed of sound = 330 m/s. The distance will be:
time of hear = speed of sound : distance
0.40 = 330 : distance
distance = 330 : 0.40
distance = 132 m
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A 2 kg ball is thrown down off a roof 10 meters high. At the bottom when it hits the ground
it is traveling 15 m/s. What is it's kinetic energy as it hits the ground?
The kinetic energy as it hits the ground with mass of 2kg and velocity 15m/s is found to be 225J
Explain what is kinetic energy?The energy a body has as a consequence of motion is known as kinetic energy. A force has to be applied to an object in order to propel it. We must put in effort in order to apply a force. After the work has been finished, energy is transferred to the item, which then travels at a new, constant speed.
At the bottom when ball hit ground with velocity = 15m/s
KE = 1/2 m v^2 => 1/2 x 2 x 15^2 => 225J
What distinguishes kinetic energy from potential energy?Potential energy is the energy that is kept in reserve in a system or object as a result of its orientation or configuration. An object's kinetic energy is measured in relation to stationary and moving items in its immediate surroundings. Potential energy is irrespective of an object's surroundings.
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What will irregular galaxies eventually form into before transitioning into something else
billions of years later?
1.total galaxies
2.meteorite galaxies
3.dwarf galaxies
4.spiral galaxies
After a period, they start to collide with other galaxies, which causes them to become irregular galaxies. They eventually transform into ancient elliptical galaxies after exhausting all of their dust and gas to form new stars.
Do atypical galaxies produce stars?It is possible to think of irregular galaxies as star formation research labs. In contrast to the more well-known spiral galaxies, this kind of galaxy produces stars from an interstellar medium that has undergone less chemical evolution.
What occurs to erratic galaxies?Typically, irregular galaxies are tiny, with a mass of only a tenth that of the Milky Way galaxy. They are vulnerable to environmental influences like colliding with massive galaxies and cosmic clouds because of their modest sizes.
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Which of the following is a nonrenewable energy source?A. Natural gasB. Solar energyC. Wind energyD. Tidal energy
Out of the given options, Natural gas is a non-renewable source of energy.
Energy sources are categorized into two types, renewable and non-renewable source of energy. renewable sources of energy are those which can be use more than once. like: wind energy, solar energy, and tidal energy, etc. On the other hand non-renewable energy cannot be used more than once. they got vanished after one use. They are one-time use energy sources. Some examples of non-renewable sources of energy are, natural gas, petrol, diesel, coal, etc.
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when light enters a pair of glasses, it when it hits the glasses
Answer:
it is refracted
Explanation:
For a liquid drop of radius r falling in air with terminal velocity, power delivered by gravitational force is proportional to.
P = m g v is the essential formula for power. Power therefore follows velocity (v).
Power, what is it?The amount of effort finished in a specific length of time is a definition of power. The SI power measurement is the wattage (W), that is derived from watts per square meter per second (J/s). Horsepower (hp) is a measuring unit sometimes used to express the power of automobiles and other equipment. It is roughly comparable to 745.7 watts.
The link among work and time is what is known as power.
P = W / t
In the case of a drop descending, the applied load and the displacement have the same direction, hence the angle in between them is negative and the cosine of zero is only one (cos 0 = 1). The work is defined as the product rule of the force and also the displacement.
W = F y
The relationship between the gravitational force and the drop's mass is F = mg.
W = mg y
we substitute
P = m g y / t
terminal velocity of the drop is constant
P = m g v
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A common source of wave motion is a:
Answer: A vibrating object is the common source of wave.
Explanation:
The cause of all wave motion is a vibrating object. The motion of waves is caused by the vibrations of the substance they are made of, and these vibrations lead them to move in an oscillatory fashion.
For instance, when the air surrounding us vibrates, sound waves are created. On the other hand, charged particles that are oscillating, like they are in the antenna, produce electromagnetic waves.
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Select the correct equations that show that 25 WW of power is required to give a brick 100 JJ of PEPE in a time of 4 ss .
25w = 100J/4s is the equation which rightly deciphers the relation of power, work and time.
What does "power" mean in physics?Power is the rate at which work is performed or energy is delivered in accordance with science and engineering. It can be represented as W/t, which refers to the product of the quantity of work finished (W) or energy converted (E) divided by the amount of time (t).
power (w) equals work (J)/time (s)
What does "work" mean with respect to science?The energy that is generated when a force is imposed on a moving object is described as work. The work that a force would do on an item is directly proportional to the force multiplied by the displacement multiplied by the cosine of the angle between them. The SI unit of work and energy is denoted by the letter J.
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Show that 25 W of power is required to give a brick 100 J of PE in a time of 4 s .
A 0. 40 kg particle moves under the influence of a single conservative force. At point a where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. What is the value of the potential energy at point b?.
The potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. Hence, the value of the potential energy at point b is -25J.
What is conservative force?A conservative force is one which doesn't depend on the path followed to accomplish its goal of moving a particle between two places. In other words, if a particle moves in a closed loop, a conservative force does no work at all.Solution:Given:
Mass of the particle= 0. 40 kg
Speed=10m/s
Initial workdone =+25J
Initial Potential enrgy=+40J
Now to find the value of the potential energy at point b use the following statement i.e.
∴ The change in potential energy of the given system is the -ve of the internal work done by the conservative force on the particle.
Hence,
ΔU=−W int
ΔU=-(+25J)
ΔU=-25J
Hence, -25Jis the value of the potential energy at point b.
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What is one reason scientists have developed a system to classify organisms
Better identification of novel species is made possible by categorization.
Why would scientists create a system of classification for organisms?Living things are categorised by scientists in order to organise and make sense of the astounding diversity of life. We can better comprehend how different living entities are connected to one another by classifying them.To better comprehend the evolutionary relationships among various creatures, scientists classify organisms according to taxonomy. We may learn the fundamentals about a group of creatures and use that information to our advantage when researching the organism later on by classifying animals that are similar in evolutionary terms.Better identification of novel species is made possible by categorization.To learn more about organisms refer to:
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a 200-kg vehicle travelling 30 m/s takes 10 s to stop. what force did the vehicle experience? show your work
Answer:
F = 600 N
Explanation:
m = 200 kg
u = 0 m/s 3
v = 30 m/s
t = 10 s
a = v-u /t
= 30 - 0 / 10
= 30 / 10
= 3 m/s²
F = m a
= 200 × 3
= 600 N
When do a 1000kg car and a 2000kg truck have the same momentum
Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.
When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the 2000kg truck.
What is momentum?The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
As a 1000kg car and a 2000kg truck have the same momentum,
1000 kg × v₁ = 2000 kg × v₂
v₁ = 2v₂
Hence, the speed of 1000 kg car is twice that of the 2000kg truck.
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a ball player catches a ball 3.40 ss after throwing it vertically upward. part a with what speed did he throw it?
The speed of the ball that the ball player throw is 16.66 m/s.
The ball player throws a ball vertically upward and then catches the ball. It means, the ball doing vertical motion travel upward to the highest point and then goes down until the ball player catches it. The trajectory of the ball as it goes up is symmetrical to the trajectory of the ball as it goes down.
The time to travel upward is equal to the time to travel downwardtravel time = travel time upward + travel time downward
t = t₁ + t₂
3.40 = t₁ + t₁
3.40 = 2t₁
t₁ = 3.40 ÷ 2
t₁ = 1.70 s
When the ball travels upward, non-uniform motion applies
v₂ = v₁ + at
a = the accelerationv₂ = v₁ + at₁
0 = v₁ + (- 9.8 × 1.70)
0 = v₁ - 16.66
v₁ = 16.66 m/s
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Consider a 0.95 MeV y-ray photon. Randomized Variables E = 0.95 MeV
Considering a 0.95 MeV y-ray photon and Randomized Variables E = 0.95 MeV so the frequency of light will be 2.294×10²⁰ Hz.
Given,
The energy of photon
E = 0.95 MeV = 0.95× 1.6×10⁻¹³ J or 1.52 × 10⁻¹³ J
Using E = hυ
We have:
υ = E/h = 1.52×10⁻¹³/(6.626×10⁻³⁴)
= 2.294×10²⁰ Hz
Thus the frequency of light will be 2.294×10²⁰ Hz.
Associated to each wave vector ~k and polarization state σ there is an electromagnetic normal mode of oscillation with frequency ω(k) = kc and complex amplitude aσ( ~k). In the absence of sources, the behavior of the electromagnetic field is completely described by these normal modes. We will assume the normal modes are defined using periodic boundary conditions.
For each ~k and σ there is a Hilbert space of square integrable functions and a Hamiltonian( ~k). For each ~k and σ there is a basis of energy eigenvectors; the corresponding ladder operators act on this basis by adding and subtracting quanta of energy ω(k).
We can use this basis to induce a basis for the tensor product over all the oscillator Hilbert spaces, which is the state space for the composite system of normal modes, i.e., the electromagnetic field.
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If an object weighs 140N on the Moon, what will it weigh here on Earth?
On the moon you weigh 6 times lighter so for this problem you multiply 140n by 6.
What is weight on Moon?Your weight on the Moon is 16.5% what you would experience on Earth. In other words, if you weighed 100 kg on Earth, you would weigh a mere 16.5 kg on the Moon. For you imperial folks, imagine you tipped the scales at 200 pounds.
It’s because of the lower gravity on the Moon. Objects on the surface of the Moon experience only 16.5% of the gravity they would experience on Earth.
The mass of the Moon is only 1.2% the mass of the Earth, so you might expect it to have only 1.2% of the gravity. But it’s only 27% of the size of the Earth, so when you’re standing on the surface of the Moon, you’re much closer to its center of gravity.
Therefore, On the moon you weigh 6 times lighter so for this problem you multiply 140n by 6.
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Scalar and Vector Quantities are both measurements
-True
-False
Answer:
Explanation:
Scalar is the measurement of a unit strictly in magnitude. Vector is a measurement that refers to both the magnitude of the unit and the direction of the movement the unit has taken. In other words, scalar quantity has magnitude, such as size or length, but no particular direction. When it does have a particular direction, it's a vector quantity.
Figure 4 shows balls 1 and 2 before and after a collision.
Ball 1 initially travels with a velocity of u m/s. Ball 2 is stationary and has a mass of 0.2 kg.
Ball 1 collides with ball 2 and this collision lasts for 0.1 s. Afterwards, both balls move in
the direction of ball 1's initial velocity. Each ball has a different final velocity.
During the collision, a force of -6N is exerted on ball 1 by ball 2
Calculate the velocity of ball 2 after the collision
According to the question, the velocity of ball 2 after the collision is 30 m/s.
What is velocity?
Velocity is a vector quantity that describes the rate and direction of an object's motion. It is the displacement of an object over a period of time and is usually expressed in terms of distance (meters, feet, or kilometers) divided by time (seconds). It can also be expressed as the speed of an object in a particular direction. Velocity is a key factor in describing the motion of objects, as it accounts for both the speed and direction of an object's motion. It is an important concept in physics, and it is used to calculate forces and potential energy.
From the laws of conservation of momentum, the final velocity of ball 2 can be calculated as follows:
m1u + m2v = m1v1 + m2v2
0.2 x u + 0.2 x v = 0.2 x u + 0.2 x v2
v2 = u - (6N x 0.1s)/0.2kg
v2 = u - 30 m/s
Therefore, the velocity of ball 2 after the collision is 30 m/s.
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Car slides stop over 50m the force of friction bringing stop 329 N how much work done on car ?
Answer:
W = - 16450 J
Explanation:
Force of friction = - 329 N ( Friction acts opposite to the direction of motion )
Displacement = 50 m
W = F s
= - 329 × 50
W = - 16450 J
∴ The work done by the force of the friction is - 16450 J .
The work done on the car to stop it by the frictional force of 329 N over 50 m is 16450 J.
What is frictional force?Friction is a type of force which resists the motion of an object. Thus friction opposes the force that make the object moving. When a force is making a displacement on object or make it stop.
The work done in physics is the product of the force acting on it to stop or displace and the displacement.
Given displacement = 50 m
friction force = 329 N
Work done = Force × displacement
= 329 N × 50 m = 16450 J
Therefore, the work done on the car by the frictional force to stop it is 16450 J.
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What happens if there is no transformation of energy in the world ?
Answer:
If there were no transformation of energy in the world, everything would come to a standstill.
Explanation:
Energy is required for all processes and interactions to occur, including movement and chemical reactions. Without energy, matter would not be able to move or change in any way. This would mean that living organisms would not be able to survive, as they rely on energy to carry out metabolic processes and maintain their body's functions.
The sun would not shine, the wind would not blow and the water would not flow, as they are all driven by energy transformations. The weather would not change, and there would be no seasons. The temperature would not vary and the weather patterns would not change.
Machines and technology would not work, as they also rely on energy to operate. There would be no electricity, transportation, or communication. The economy would come to a standstill as all the industry, trade, and commerce would stop.
In short, without energy transformation, the world would be a static, lifeless place, and life as we know it would not be possible.
an object with a kinetic energyof 16,000 joules has a velocity of 8 m/s what is its mass
The mass of the object with a kinetic energy of 16,000 joules has a velocity of 8 m/s is 500kg.
How to calculate kinetic energy?Kinetic energy refers to the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
Kinetic energy of a body can be calculated using the following formula:
K.E = ½mv²
Where;
K.E = kinetic energym = massv = velocityAccording to this question, an object with a kinetic energy of 16,000 joules has a velocity of 8 m/s. The mass can be calculated as follows:
16,000 = ½ × m × 8²
16,000 = 32m
m = 16000/32
m = 500kg
Therefore, 500kg is the mass of the object.
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Name a force between the brakes and the wheels that does work to slow down the vehicle when brakes are applied
Which of the following best describes mineral habit?
General physical appearance best describes the mineral habit.
External physical appearance, which a mineral tends to have is known as its habit. It may be long slender ones, blocky crystals, or aggregates of some type, etc.
Blocky crystal is a box-like or ball-like appearance. Tabular crystal is just like a deck of playing cards(thick). Prismatic shape is like end faces are parallel to each other. They may be long, and short based on the ratio of length to lateral width ratio.
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Physical science help pls I struggling
The cost of using 50 W for one day or 24 hours is dollar 0.12. The cost of using 800 W for 1 hour is 0.08 dollar.
What is power?Power is the rate of work done energy of an object. Given that the cost of using 1 KWhr energy is dollar 0.10.
Then cost of using 50 W or 0.05 KW in 24 hours is
0.05 × 24 × 0.10 = 0.12 dollar
Cost of using 800 W or 0.08 KW per hour is 0.08 KWhr × 0.10 = dollar 0.08
Similarly, the cost of using 150 W in one month is find as follows:
150 W = 0.15 KW
energy used = 0.15 × 30 × 24 hrs
cost = 0.15 × 30 × 24 hrs × 0.10 = dollar 10.8
The energy causing a cost of 2.5 dollar is 2.5/0.10 = 25 KWhr
power = 25 KWHr/24 hrs = 1.04 KW.
The energy causing a cost of 4 dollars is 4/0.10 = 40 KWhr
power =40 KWHr/24 hrs = 1.6 KW.
The energy causing the cost of 3 dollars = 3/0.10 = 30 KWhr
then time = 30/100 W = 0.3 hr.
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A tsunami wave has a wavelength of 160,000 m and a frequency of .0014 HZ
A wind driven wave has a wavelength of 150 and a frequency of 0.083 HZ
What would be the velocity of each wave? Show your calculation
Velocity is a physical vector quantity that is defined by magnitude and direction. A coherent derived unit called speed is used to indicate the magnitude or absolute value (scalar) of velocity. In the SI, its value is represented in meters per second (m/s or m/s1) (metric system).
What is velocity?When an object is traveling, its velocity is the direction it is travelling in to indicate how quickly the object's location is changing as seen from a particular point of view and as measured by a certain unit of time, such as 60 km/h in a northerly direction. The idea of velocity serves as a key building component in kinematics, the branch of classical mechanics that analyzes how bodies move.
The velocity of a wave can be calculated using the wavelength (λ) and frequency (f) of the wave using the formula:
Velocity = wavelength x frequency
For the tsunami wave:
Velocity = 160,000 m x .0014 Hz = 224 m/s
For the wind-driven wave:
Velocity = 150 m x 0.083 Hz = 12.45 m/s
So the velocity of the tsunami wave is 224 m/s and the velocity of the wind-driven wave is 12.45 m/s.
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if there are two waves A and B with their amplituds 3 cm and 4 cm respectively compared it's loudness and tell which one is more louder
Wave B will be louder than wave A.
Let the amplitude of wave A be a1 and the amplitude of wave B be a2.
Similarly, let the loudness of wave A be L1 and the loudness of wave B be L2.
We know,
[tex]\frac{L1}{L2}[/tex] = [tex]\frac{a1^{2} }{a2^{2} }[/tex]
By substitution we see:
[tex]\frac{L1}{L2}[/tex] = [tex]\frac{3^{2} }{4^{2} }[/tex]
We get:
[tex]\frac{L1}{L2}[/tex] = [tex]\frac{9}{16}[/tex] .
Thus we see that the loudness of wave A is 9Hz while that of wave B is 16Hz. So we conclude that wave B is louder than wave A.
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Naim Suleimanoglu of Turkey has a mass of about 62 kg, yet he can lift
nearly 3 times this mass. (This feat has earned Suleimanoglu the nick-
name of "Pocket Hercules.") If the potential energy associated with a
barbell lifted 1.70 m above the floor by Suleimanoglu is 3.04 x 10³ J,
what is the barbell's mass?
According to the problem The barbell's mass is 178 kg.
What is barbell's mass ?
The mass of a barbell can vary depending on the size and type of barbell. Standard barbells typically range from 10 kilograms (22 pounds) to 45 kilograms (99 pounds). Olympic barbells are typically 25 millimeters (1 inch) in diameter and are available in weights ranging from 15 kilograms (33 pounds) to 25 kilograms (55 pounds). Barbells with a smaller diameter, such as a women's barbell, usually weigh between 5 kilograms (11 pounds) and 15 kilograms (33 pounds). Powerlifting barbells are thicker and longer than standard barbells and usually weigh between 20 kilograms (44 pounds) and 25 kilograms (55 pounds).
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