a quiet radio has an intensity level of about 40 db. busy street traffic has a level of about 70 db. how much greater is the intensity of the street traffic compared to the radio?

Answers

Answer 1

The intensity of the busy street traffic is approximately 1000 times greater than the intensity of the quiet radio.

The difference in intensity level between two sounds is given by:

ΔL = [tex]L_2 - L_1[/tex]

here L is the intensity level of the first sound and L is the intensity level of the second sound.

In this case, the intensity level of the quiet radio is L = 40 dB and the intensity level of the busy street traffic is L = 70 dB. Therefore, the difference in intensity level is:

ΔL = [tex]L_2 - L_1[/tex] = 70 dB - 40 dB = 30 dB

We can use the fact that a 10 dB increase in intensity level corresponds to a tenfold increase in sound intensity to find the ratio of the sound intensities:

[tex]I_2/I_1 = 10^{(L/10)[/tex]

where I1 is the intensity of the quiet radio and I2 is the intensity of the busy street traffic.

Substituting the values we have:

[tex]I_2/I_1 = 10^{(L/10)}\\ \\= 10^{(30/10)} \\=1000[/tex]

Therefore, the intensity of the busy street traffic is approximately 1000 times greater than the intensity of the quiet radio.

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Related Questions

when a certain surface of a mature material is illuminated with monochromatic light, the electrons ejected from the surface have a kinetic energy ranging from zero to ev. what is the wavelength of light?

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The wavelength of light when a certain surface of a mature material is illuminated with monochromatic light is λ₀ =4λ.

a wave's wavelength is the separation between two adjacent waves' corresponding points. Two points or particles that are "corresponding points" are those that have completed identical portions of their periodic motion and are thus in the same phase. Wavelength is typically measured from crest to crest or from trough to trough in transverse waves (waves with points vibrating at right angles to the direction of their advance).

From compression to compression or from rarefaction to rarefaction in longitudinal waves (waves with points vibrating in the same direction as their advance). The Greek symbol lambda () is typically used to represent a wave's length. Wavelength is defined as the product of a wave train's frequency (f) and speed (v) in a medium.

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which planet do you think the pitcher will have to throw the ball with the highest velocity to make it orbit around the planet? why?

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The planet where a pitcher would need to throw the ball with the highest velocity to make it orbit around the planet would be the one with the highest gravitational force. This is because the gravitational force between the planet and the ball affects the ball's orbit and determines the required velocity.

According to Newton's law of universal gravitation, the gravitational force (F) between two objects is given by:

[tex]F = (G * m1 * m2) / r^2[/tex]

where G is the gravitational constant, m1, and m2 are the masses of the two objects, and r is the distance between them.

The force required to maintain an orbit can be equated to the centripetal force:

[tex]F = (m * v^2) / r[/tex]

where m is the mass of the ball and v is its velocity.

By equating these two expressions, we find that:

[tex](G * m1 * m2) / r^2 = (m * v^2) / r[/tex]

Simplifying the equation, we find:

[tex]v^2 = (G * m1) / r[/tex]

Since the gravitational constant (G) and the mass of the ball (m) are constant, the velocity (v) required to maintain an orbit depends only on the mass of the planet (m1) and the distance from the planet (r). The higher the mass of the planet, the higher the velocity required.

Therefore, the planet where the pitcher would need to throw the ball with the highest velocity to make it orbit around the planet would be the one with the highest mass.

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what is the kinetic energy of a 1.6 g particle with a speed of 0.80 c ?

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The kinetic energy of a 1.6 g particle with a speed of 0.80 c is approximately 2.03 x 10^14 Joules.

To calculate the kinetic energy of the particle, we first need to convert its mass to kilograms (kg) and then use the relativistic kinetic energy formula.
Step 1: Convert mass to kg
1.6 g = 0.0016 kg
Step 2: Use the relativistic kinetic energy formula
KE = (γ - 1)mc^2, where γ (gamma) is the Lorentz factor, m is the mass, and c is the speed of light.
Step 3: Calculate the Lorentz factor
γ = 1 / √(1 - v^2/c^2), where v is the particle's speed (0.80c).
γ = 1 / √(1 - (0.80c)^2/c^2) = 1 / √(1 - 0.64) = 1 / √(0.36) = 1 / 0.6 = 5/3
Step 4: Calculate the kinetic energy
KE = ((5/3) - 1)(0.0016 kg)(3 x 10^8 m/s)^2
KE ≈ 2.03 x 10^14 Joules

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a 50 gram bullet is fired through a 5 kg block of wood resting on a frictionless surface. the bullet has an initial speed of 500 m/s, while the block is initially at rest. after passing through the block, the bullet has a speed of 300 m/s. how fast is the wooden block moving after the bullet passes through it? a. 5.0 m/s b. 3.0 m/s c. 2000.0 m/s d. 2.0 m/s

Answers

the wooden block is moving at a speed of 2 m/s after the bullet passes through it.

To solve this problem, we can apply the principle of conservation of momentum.

The initial momentum of the system (bullet + wooden block) is given by:

Initial momentum = (mass of bullet * initial velocity of bullet) + (mass of block * initial velocity of block)

Initial momentum = (0.05 kg * 500 m/s) + (5 kg * 0 m/s)

Initial momentum = 25 kg·m/s

The final momentum of the system is given by:

Final momentum = (mass of bullet * final velocity of bullet) + (mass of block * final velocity of block)

Final momentum = (0.05 kg * 300 m/s) + (5 kg * velocity of block)

We know that momentum is conserved, so the initial momentum is equal to the final momentum:

25 kg·m/s = (0.05 kg * 300 m/s) + (5 kg * velocity of block)

Simplifying the equation:

25 kg·m/s = 15 kg·m/s + (5 kg * velocity of block)

10 kg·m/s = 5 kg * velocity of block

velocity of block = 10 kg·m/s / 5 kg

velocity of block = 2 m/s

Therefore, the wooden block is moving at a speed of 2 m/s after the bullet passes through it.

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T/F: a car traveling at 20 mph on a curved exit ramp has a constant velocity.

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False.

A car traveling at 20 mph on a curved exit ramp does not have a constant velocity. This is because the car is changing direction as it navigates the curved ramp, meaning its velocity is constantly changing. Constant velocity requires both a steady speed and a straight path of travel.
False: A car traveling at 20 mph on a curved exit ramp does not have a constant velocity. This is because velocity is a vector quantity, which means it has both magnitude (speed) and direction. While the car may maintain a constant speed of 20 mph, its direction is changing due to the curve of the exit ramp, resulting in a changing velocity.

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An airplane propeller is 1.96 m in length (from tip to tip) with mass 111 kg and is rotating at 2600 rpm ( rev/min) about an axis through its center. You can model the propeller as a slender rod. What is its rotational kinetic energy? Suppose that, due to weight constraints, you had to reduce the propeller's mass to 75.0% of its original mass, but you still needed to keep the same size and kinetic energy. What would its angular speed have to be, in rpm?

Answers

If the mass of the propeller is reduced to 75.0% of its original mass, the new angular speed must be increased to 1877 rpm to maintain the same kinetic energy.

The moment of inertia of a slender rod rotating about its center is given by I = (1/12)ML², where M is the mass and L is the length of the rod. In this case, M = 111 kg and L = 1.96 m, so we have:

I = (1/12)(111 kg)(1.96 m)² = 42.9 kg m²

The rotational kinetic energy of the propeller is given by K = (1/2)Iω², where ω is the angular speed in radians per second. We can convert the given angular speed of 2600 rpm to radians per second by multiplying by 2π/60:

ω = (2600 rpm)(2π/60) = 273.2 rad/s

Substituting the values of I and ω, we have:

K = (1/2)(42.9 kg m²)(273.2 rad/s)² = 325,000 J

To find the new angular speed, we can use the conservation of energy principle: the kinetic energy of the propeller must remain constant, even though its mass has decreased. If the new mass is 75.0% of the original mass, then the new moment of inertia is also 75.0% of the original moment of inertia:

I' = (0.75)I = (0.75)(42.9 kg m²) = 32.2 kg m²

We can solve for the new angular speed ω' by setting the initial and final kinetic energies equal:

(1/2)Iω²= (1/2)I'ω'²

Substituting the values of I, I', and K, we have:

(1/2)(42.9 kg m²)(273.2 rad/s)² = (1/2)(32.2 kg m²)ω'²

Solving for ω', we have:

ω' = √[(42.9/32.2)(273.2)²] = 329.9 rad/s

To convert this to rpm, we can multiply by 60/2π:

ω' = (329.9 rad/s)(60/2π) = 1877 rpm

Therefore, if the mass of the propeller is reduced to 75.0% of its original mass, the new angular speed must be increased to 1877 rpm to maintain the same kinetic energy.

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the masses of the atwood's machine are m = 6.819 kg and m = 1.353 kg. the acceleration (m/s2) of the system is:

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The acceleration of the Atwood's machine can be calculated using the formula [tex]a = \frac{m_{1}-m_{2}  }{m_{1}+m_{2}  }[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex]  are the masses of the two objects and g is the acceleration due to gravity (9.81 m/s2). Plugging in the values, we get:

a = [tex]\frac{(6.819 kg - 1.353 kg) × 9.81 m/s^{2} }{6.819 kg + 1.353 kg}[/tex]
a = [tex]\frac{5.466 kg ×9.81 m/s^{2} }{8.172 kg}[/tex]

a = [tex]6.558 m/s^{2}[/tex]

Therefore, the acceleration of the system is 6.558 m/s^{2}[/tex]

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λ (nm) 633
L (mm) 180mm
h0 (mm) 100mm
h1 (mm) 200mm
ϴ0 (°) 29.1°
ϴ1 (°) 48.01°
d (mm) ?
Calculated Line Density n (Lines/mm) ?
Help me solve for question marks.
Answer the questions using the data table as a reference
1. How similar is the CD’s groove number in Data Table 3 to the typical value of 625? What factors would affect any discrepancies?
2. How do the interference patterns produced by a CD and diffraction grating compare? Explain similarities, differences, and causes in your answer.

Answers

The line density of the CD is 3.71 lines/mm and the groove number is 266, and the interference patterns of a CD and diffraction grating both exhibit diffraction but have different characteristics due to the structure of the CD.

To solve for the question marks:

[tex]d = L \times tan(\theta_1) - h_1 + h_0\\\\ = 180mm \times tan(48.01) - 200mm + 100mm\\\\ = 85.7 mm[/tex]

n = 1/Λ = 1/633 nm = 1.58 Lines/mm

The calculated line density (n = 1.58 Lines/mm) is lower than the typical value of 625 Lines/mm for a CD. Factors that could affect this discrepancy include the manufacturing process of the CD, the accuracy of the measurements taken in the experiment, and any potential damage or wear on the CD.

Both a CD and a diffraction grating produce interference patterns due to the diffraction of light, but there are some differences between the two. A CD has a spiral pattern of pits that diffract light in different directions, producing a series of concentric rings of different colors. A diffraction grating, on the other hand, has a regular pattern of equally spaced parallel slits or grooves that diffract light in a specific direction, producing a series of evenly spaced bright spots on a screen. The causes of these differences lie in the different patterns of grooves or pits on the surfaces of the CD and diffraction grating.

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(2)
What is the quantity used to measure an object's resistance to changes in rotation?
a) torque
b)moment of inertia
c)mass
d)angular velocity

Answers

The quantity used to measure an object's resistance to changes in rotation is called moment of inertia. Moment of inertia is a measure of an object's rotational inertia, which is the resistance of an object to changes in its rotation.

The moment of inertia depends on the mass and distribution of the object's mass around its axis of rotation. The greater the moment of inertia, the more difficult it is to change the object's rotation.

Therefore, moment of inertia is an important physical quantity used in many fields, including physics and engineering, to analyze and design systems involving rotational motion.

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Most of the material that makes up Earth and all life on Earth, including humans, was formed
A. in the Big Bang.
B. inside the Sun.
C. inside stars that died before Earth formed.
D. in the atmospheres of nearby stars that are still shining and spraying material out into the galaxy.

Answers

C. inside stars that died before Earth formed.

Most of the material that makes up Earth and all life on Earth, including humans, was formed inside stars that died billions of years ago. As these stars exploded in supernovae, they released the elements and compounds that make up everything around us, including carbon, nitrogen, oxygen, and iron. These materials eventually coalesced into planets like Earth, which became home to living organisms. So, we owe our existence to the stars that came before us.

These stars underwent nuclear reactions, creating heavier elements that were later released into the universe during their death. This material eventually contributed to the formation of our solar system, including Earth and its inhabitants.

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the velocity in ft/sec of a particle moving along the x-axis is given by the function v(t)=e^t+te^t

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The velocity in ft/sec of a particle moving along the x-axis is given by the function v(t) = e^t + te^t. The function v(t) represents the instantaneous velocity of the particle at any given time t.

The first term e^t represents the initial velocity of the particle when t=0, and the second term te^t represents the additional velocity gained due to acceleration. As t increases, both terms increase, resulting in a continuously increasing velocity. The velocity function of a particle moving along the x-axis is v(t)=e^t+te^t.

The given function represents the rate of change of the particle's position with respect to time. It combines the exponential function (e^t) and a linear function multiplied by an exponential function (te^t). To find the position function, integrate the velocity function with respect to time. The position function will give you the actual position of the particle along the x-axis at a given time, which can help determine its behavior as time progresses.

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An observer watching a sailing ship at sea notes that the ship appears to be "sinking" as it moves away . which statement best explains this observation? A, The earth is revolving B, The earth is rotating C, The earth has a curved surface D, The surface of the ocean has depressions​

Answers

The earth has a curved surface. This statement explains this observation.

Due to the curvature of the Earth's surface, the spacecraft seems to drop beyond the horizon as it travels away from the spectator. An object's apparent descent below the horizon increases with increasing distance. On the open ocean, where there are no other things to serve as a reference point for the spectator, this impact is more obvious.

Because of the spherical form of the Earth, when viewed from a great distance, the surface curves away from the observer's line of sight. Ships, buildings, and other distant objects appear to drop beyond the horizon due to a phenomenon known as the "curvature of the Earth".

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The magnetic field strength inside a current carrying coil will be greater if the coil encloses a(n): A. iron rod B. wooden rod C. glass rod. D. none of these E. vacuum.

Answers

The magnetic field strength inside a current carrying coil is directly proportional to the number of turns of wire in the coil and the magnitude of the current flowing through it. However, the presence of a magnetic material like iron inside the coil can significantly enhance the magnetic field strength.

This is because iron has high magnetic permeability, which means it can easily magnetize and demagnetize in response to an external magnetic field. Therefore, if the coil encloses an iron rod, the magnetic field strength inside the coil will be greater compared to the case when the coil encloses a wooden or glass rod.

A wooden or glass rod will not affect the magnetic field strength because they are not magnetic materials. The presence of a vacuum inside the coil will also not affect the magnetic field strength because a vacuum has no magnetic properties. Therefore, the correct answer to this question is option A, an iron rod.

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natural energy sources, such as wind and moving water, have been used to mill grain.

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Natural energy sources have been harnessed by humans for centuries, and one of the earliest uses of these energy sources was for milling grain.

Wind and moving water, specifically, have been used to power grain mills throughout history. Windmills were commonly used in areas with strong and consistent winds, such as the Netherlands and the American Midwest, to grind grains into flour. Watermills, on the other hand, used moving water, typically from a nearby river or stream, to power their machinery. This allowed for consistent and reliable power, which was essential for producing high-quality flour.

While modern technology has largely replaced traditional milling methods, there has been a resurgence of interest in using natural energy sources for grain milling. This is partly due to concerns about the environmental impact of fossil fuels and the desire for more sustainable energy sources. Today, small-scale wind and water turbines can be used to power grain mills in rural communities, helping to support local food systems and reduce reliance on non-renewable energy sources.

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True or false? When a boxer hits a punching bag, the strength of his punch depends on how much force the bag can exert on the boxer's fist.

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True, when a boxer hits a punching bag, the strength of his punch does depend on the force the bag exerts on the boxer's fist.

This concept can be explained using Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction.When the boxer's fist makes contact with the punching bag, the fist exerts a force on the bag. Simultaneously, the bag exerts an equal and opposite force back onto the fist. This force experienced by the fist is what determines the strength of the punch.

The magnitude of the force exerted by both the fist and the bag is determined by various factors such as the mass of the boxer's arm, the speed of the punch, and the material and mass of the punching bag. A greater force exerted on the bag will result in a greater force exerted back onto the fist, thus increasing the strength of the punch.

In conclusion, the statement is true; the strength of a boxer's punch is dependent on the force exerted by the punching bag on the boxer's fist, which is a result of the equal and opposite reaction dictated by Newton's Third Law of Motion.

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Which of the following is not considered a fundamental particle?
A. an up quark
B. a neutrino
C. an electron
D. a proton

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The answer is D. A proton is not considered a fundamental particle. Fundamental particles are those particles that cannot be broken down into smaller sub-particles.

They are the building blocks of matter and are categorized as either fermions or bosons. Fermions, which include particles such as electrons and quarks, make up the matter in the universe, while bosons, which include particles such as photons and W and Z bosons, are responsible for mediating forces between particles. A proton is made up of smaller particles called quarks and gluons. It is classified as a baryon, which is a type of particle made up of three quarks. Therefore, it is not considered a fundamental particle. Understanding the properties and characteristics of fundamental particles is crucial to the field of particle physics, which seeks to understand the behavior and interactions of subatomic particles. Studying these particles can provide insight into the nature of the universe and help us better understand the fundamental forces that govern the behavior of matter.

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This applet shows two masses on springs, each accompanied by a graph of its position versus time.
What is an expression for x1(t), the position of mass I as a function of time? Assume that position is measured in meters and time is measured in seconds.
Express your answer as a function of t. Express numerical constants to three significant figures.

Answers

Graphs can depict movement to and from the origin by representing position, or the location of an item in regard to an axis, and motion, or the change in position over time. The x-axis of a position-time graph depicts time, while the y-axis shows the distance travelled away from or towards the origin point.

Given that you have two masses on springs and a graph of their positions versus time, the position of mass I (x1(t)) can be described using the following equation for a simple harmonic motion:

x1(t) = A * cos(ωt + φ)

Here,
x1(t) is the position of mass I as a function of time,
A is the amplitude of the motion (in meters),
ω (omega) is the angular frequency (in radians/second),
t is the time (in seconds),
and φ (phi) is the phase angle (in radians).

To determine the specific values for A, ω, and φ, you would need to analyze the given graph of the position versus time for mass I.

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the voltage and current of a y-connected load are vab= 15∠5◦ v, ia= 2∠90◦ a find the total real power consumed by the load. note: read the subscripts of the voltage and current carefully.

Answers

To find the total real power consumed by the load, we first need to find the total apparent power and the power factor.
Since the load is Y-connected, we can use the following equations: ia = ia1 + ia2 + ia3 and vab = vbc = vca

Using phasor analysis, we can find:
ia1 = ia/√3 = 2/√3 ∠90◦
ia2 = ia/√3 ∠(90 - 120)◦ = 2/√3 ∠(-30)◦
ia3 = ia/√3 ∠(90 + 120)◦ = 2/√3 ∠(150)◦
vbc = vab/√3 ∠(-120)◦ = 15/√3 ∠(-115)◦
vca = vab/√3 ∠120◦ = 15/√3 ∠125◦
Now we can calculate the total apparent power:
S = 3*vab*ia/√3 = 15*2/√3 ∠(5 + 90)◦ = 45∠95◦ VA
And the power factor: cos(φ) = P/S = Re(S)/|S| = Re(45∠95◦)/|45∠95◦| = 0.34
Therefore, the total real power consumed by the load is: P = S*cos(φ) = 45*0.34 = 15.3 W

To find the total real power consumed by a Y-connected load, you should calculate the power for each phase and then sum them up. The real power for a phase is given by P = VIcosθ, where V is the voltage, I is the current, and θ is the phase difference between voltage and current. In this case, Vab = 15∠5° V and Ia = 2∠90° A. Since it is a Y-connected load, the phase voltage (V_phase) is equal to the line-to-neutral voltage (Vab). Thus, V_phase = 15∠5° V. The phase current (I_phase) is equal to the line current (Ia), so I_phase = 2∠90° A.
Now, calculate the phase difference (θ): θ = (angle of I_phase) - (angle of V_phase) = 90° - 5° = 85°.
Next, calculate the real power for this phase: P = VIcosθ = (15)(2)cos(85°) = 30cos(85°) = 0.52 W (approximately).
Since the Y-connected load has three identical phases, the total real power consumed by the load is:                            P_total = 3 * P = 3 * 0.52 W = 1.56 W.

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A diverging lens with f = -37.5 cm is placed 15.0 cm behind a converging lens with f = 21.0 cm .Where will an object at infinity be focused? Determine the image distance from the second lens. Follow the sign conventions.

Answers

This means that the final image is generated 26.25 cm in front of the converging lens on the object's opposite side.

The image produced by the diverging lens acts as the object for the converging lens. Using the thin lens formula, we can find the location of the image from the diverging lens:

1/f = 1/di - 1/do

where f is the focal length of the diverging lens, di is the image distance from the diverging lens, and do is the object distance from the diverging lens (which is infinity in this case).

1/-37.5 = 1/di - 0

Solving for di, we get:

di = -37.5 cm

This means that the image from the diverging lens is formed 37.5 cm behind the lens on the same side as the object.

This image acts as the object for the converging lens. Using the thin lens formula again, we can find the location of the final image:

1/f = 1/di - 1/do

where f is the focal length of the converging lens, di is the distance of the image from the diverging lens (which we just found to be -37.5 cm), and do is the distance of the object from the converging lens (which is the distance of the image from the diverging lens, or -37.5 cm).

1/21.0 = 1/-37.5 - 1/-37.5

Solving for do, we get:

do = -26.25 cm

This means that the final image is formed 26.25 cm in front of the converging lens on the opposite side of the object. The negative sign indicates that the image is virtual (i.e. it cannot be projected onto a screen).

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True/false: in a purely resistive circuit, 100% of the apparent power is used or consumed.

Answers

In a purely resistive circuit, the phase difference between the voltage and current is zero, which means the circuit consumes all the power delivered to it by the source. In other words, the power delivered is entirely converted into heat energy dissipated by the resistance. Therefore, 100% of the apparent power is used or consumed in a purely resistive circuit. So this statement is true.

Apparent power is the product of the root mean square (RMS) voltage and RMS current, and it represents the total power delivered to the circuit. In a purely resistive circuit, the apparent power and real power are equal since there is no reactive power. Reactive power arises in circuits with inductance and capacitance, where energy is stored and returned to the circuit, leading to a phase shift between voltage and current.

In a purely resistive circuit, the current and voltage are in phase with each other, meaning they reach their maximum and minimum values at the same time. This results in a power factor of 1, which indicates that all of the apparent power drawn by the circuit is converted into real power, which is the actual power consumed by the resistive elements in the circuit. Therefore, it is true that 100% of the apparent power is used or consumed in a purely resistive circuit.

This is not the case in circuits that have reactive elements, such as inductors and capacitors, where the current and voltage are out of phase with each other. This results in a power factor that is less than 1, and the apparent power drawn by the circuit includes both real power and reactive power. In such cases, some of the apparent power is not consumed by the resistive elements but instead is stored in the reactive elements and returned to the circuit at a later time.

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What is the radius object in circular motion with a tangential velocity of 18.5m/s that takes 28 seconds to make one revolution?

Answers

The radius of the object in circular motion is 82.1 meters, under the condition that a tangential velocity of 18.5m/s in the given duration of 28 seconds.

Hence using all the given information to derive a particular formula:

v = 2πr/T

Here,

v = tangential velocity,

r = radius of the circular path

T= time period of circular motion.

Restructuring the formula to evaluate r

r = vT/2π

Staging the given values in the provided formula

r = (18.5 m/s) x (28 s) / (2π)

r = 518/2(3.14)

Applying simplification to the expression

r ≈ 82.1 m

Then, the radius of the object is approximately 82.1 meters.

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The complete question is

What is the radius of the object in circular motion with a tangential velocity of 18.5m/s that takes 28 seconds to make one revolution?

a scuba diver dives into the ocean until the pressure is 2.5 atm, assuming their lungs still expand by 0.50 l how much work in joules is done during the expansition?

Answers

a scuba diver dives into the ocean until the pressure is 2.5 atm, assuming their lungs still expand by 0.50, approximately 126.66 Joules of work is done during the expansion of the scuba diver's lungs.

To calculate the work done during the expansion of the scuba diver's lungs, we can use the formula:

Work = Pressure * Change in Volume

Given that the pressure is 2.5 atm and the change in volume is 0.50 L, we need to convert the pressure from atm to Pascals (Pa) and the volume from liters to cubic meters (m³) to ensure consistent units.

1 atm = 101325 Pa

1 L = 0.001 m³

Converting the given values, we have:

Pressure = 2.5 atm * 101325 Pa/atm = 253312.5 Pa

Change in Volume = 0.50 L * 0.001 m³/L = 0.0005 m³

Now, we can calculate the work:

Work = Pressure * Change in Volume = 253312.5 Pa * 0.0005 m³

Work ≈ 126.66 Joules

Therefore, approximately 126.66 Joules of work is done during the expansion of the scuba diver's lungs.

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For the circuit in the figure
Find the rate of conversion of internal (chemical) energy toelectrical energy within the battery.
Find the rate of dissipation of electrical energy in thebattery.
Find the rate of dissipation of electrical energy in the externalresistor.

Answers

The rates of conversion and dissipation of energy can be found using the following equations:

Power = Voltage x Current

Power = Current^2 x Resistance

where power is the rate of energy conversion or dissipation in watts (W), voltage is the potential difference in volts (V), current is the flow of electric charge in amperes (A), and resistance is the opposition to the flow of current in ohms (Ω).

Assuming a battery of voltage V and internal resistance R is connected to an external resistor of resistance r, with a current I flowing through the circuit, we can use the following expressions to calculate the rates of energy conversion and dissipation:

Rate of conversion of internal energy to electrical energy in the battery:

P1 = VI

Rate of dissipation of electrical energy in the battery:

P2 = I^2R

Rate of dissipation of electrical energy in the external resistor:

P3 = I^2r

Note that the total power supplied by the battery must equal the total power dissipated in the circuit, according to the principle of conservation of energy.

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on a map, each township consists of 36 sections which have an approximate surface area of:

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On a map, each township consists of 36 sections which have an approximate surface area of 1 square mile each.

In the United States Public Land Survey System (PLSS), a township is a unit of land measurement that is 6 miles by 6 miles, or 36 square miles. Each township is further divided into 36 sections, each of which is 1 square mile or 640 acres. This system was developed in the early 19th century to facilitate the survey and sale of public lands in the western United States. Today, the PLSS is still used in many western states for land management and property boundaries, as well as for mapping and geographic information systems (GIS).

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which has a greater angular momentum: a solid sphere of mass m rotating at a constant angular frequency about the z-axis, or a solid cylinder of the same mass and rotation rate about the z-axis and why?

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The solid cylinder has a greater angular momentum than the solid sphere rotating at the same constant angular frequency about the z-axis.

The angular momentum of an object depends on its moment of inertia and its angular velocity. The moment of inertia of a solid sphere is given by 2/5 * m * r^2, where m is the mass of the sphere and r is its radius. The moment of inertia of a solid cylinder is given by 1/2 * m * r^2, where m is the mass of the cylinder and r is its radius. Since the moment of inertia of the cylinder is less than that of the sphere, but they both have the same angular velocity, the cylinder has a greater angular momentum than the sphere. This can be seen mathematically by using the equation for angular momentum, L = I * omega, where L is the angular momentum, I is the moment of inertia, and omega is the angular velocity. Therefore, a solid cylinder of the same mass and rotation rate about the z-axis has a greater angular momentum than a solid sphere.

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a 440 g , 8.5-cm-diameter can is filled with uniform, dense food. it rolls across the floor at 1.0 m/s . part a part complete what is the can's kinetic energy? express your answer with the appropriate units.

Answers

0.33J is the can's kinetic energy as it rolls across the floor at 1.0 m/s

Define kinetic energy

An object's kinetic energy is the type of energy it has as a result of motion. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.

Potential energy can be moved into motion by a variety of catalysts, including gravity and chemical reactions, to release kinetic energy. As a result, kinetic energy rises and potential energy falls. Mechanical energy is the sum of all kinetic and potential energy.

KE =1/2I w^2 + 1/2mv^{2}

KE = 1/2*1/2 mr^{2} (v/r)^2 + 1/2mv^{2}

K.E= 3/4 mv^{2}

K.E=  3/4 (0.44) (1)^{2}

K.E=0.33J

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Particles q₁ = -20.5 μC, q2 = -9.30 μC, and 93 = -31.6.0 μC are in a line. Particles q₁ and q₂ are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2₂? Remember: Negative forces (-F) will point Left Positive forces (+F) will point Right ​

Answers

On q₂, there is a net force of around 1.65 × 10⁻⁴ N, pointing left.

How to determine net force?

Use Coulomb's law to find the forces between each pair of charges, and then use the principle of superposition to find the net force on q₂.

The force on q₂ due to q₁ is:

F₁₂ = k × |q₁| × |q₂| / d₁₂²

where k = Coulomb's constant, d₁₂ = distance between q₁ and q₂, and the absolute values of the charges are used because they are both negative.

Substituting the given values:

F₁₂ = (9 × 10⁹ N·m²/C²) x (20.5 × 10⁻⁶ C) x (9.30 × 10⁻⁶ C) / (0.980 m)²

F₁₂ ≈ -4.15 × 10⁻⁴ N (pointing left)

Similarly, the force on q₂ due to q₃ is:

F₂₃ = k × |q₂| × |q₃| / d₂₃²

Substituting the given values:

F₂₃ = (9 × 10⁹ N·m²/C²) x (9.30 × 10⁻⁶ C) x (31.6 × 10⁻⁶ C) / (0.750 m)²

F₂₃ ≈ 2.50 × 10⁻⁴ N (pointing right)

To find the net force on q₂, add the forces vectorially:

F_net = F₁₂ + F₂₃

F_net ≈ -4.15 × 10⁻⁴ N + 2.50 × 10⁻⁴ N

F_net ≈ -1.65 × 10⁻⁴ N (pointing left)

Therefore, the net force on q₂ is approximately 1.65 × 10⁻⁴ N, pointing left.

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a metal surface has a work function of 2.50 ev. what is the longest wavelength of light that will eject electrons from the surface of this metal? (1 ev

Answers

The longest wavelength of light that will eject electrons from the surface of the metal is approximately 496 nm (nanometers).

The energy of a photon is given by E = hc/λ, where E is the energy (in electron volts), h is Planck's constant (4.1357 x 10^-15 eV·s), c is the speed of light (2.998 x 10^8 m/s), and λ is the wavelength of light (in meters). To eject electrons from the metal surface, the energy of the photons must be equal to or greater than the work function of the metal (2.50 eV). Rearranging the equation, λ = hc/E, we can substitute the given values to find λ = (4.1357 x 10^-15 eV·s) * (2.998 x 10^8 m/s) / 2.50 eV, which gives us λ ≈ 496 nm.

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reduction is the removal of hydrogen (electrons) from a molecule or atom. (True or False)

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False. Reduction is actually the gain of electrons, usually accompanied by the addition of hydrogen to a molecule or atom. This process is commonly used in organic chemistry to create new molecules with specific properties. During reduction, a molecule or atom gains electrons, and since electrons have a negative charge, the overall charge of the molecule or atom decreases. This is why the process is called reduction.

In organic chemistry, reduction reactions typically involve the use of reducing agents, which are compounds that are capable of donating electrons to other molecules or atoms. Some common reducing agents include lithium aluminum hydride, sodium borohydride, and hydrogen gas. These agents are often used in conjunction with other reagents and solvents to achieve the desired chemical reaction.

Overall, reduction is an important process in chemistry that is used to create new molecules with specific properties. By gaining electrons and hydrogen, molecules and atoms can become more stable and less reactive, making them useful for a wide range of applications. Whether you are studying organic chemistry or simply interested in the basic principles of chemistry, understanding reduction is an essential part of your knowledge base.
False. The statement provided is incorrect. Reduction is actually the process of gaining electrons or adding hydrogen to a molecule or atom, not removing hydrogen or electrons.

In a reduction reaction, a substance undergoes a change in its oxidation state, typically by gaining electrons or hydrogen atoms. This process often occurs in tandem with oxidation, where another substance loses electrons or hydrogen atoms, and the two reactions together are known as a redox (reduction-oxidation) reaction.

In summary, reduction is the process of gaining electrons or adding hydrogen to a molecule or atom, while oxidation involves the loss of electrons or hydrogen atoms.

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the focal point is the point at which parallel rays converge after passing through a converging lens. responses true true false

Answers

The statement is true.
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