Which of the following is a true statement?

The moment of inertia about the b-b' axis is 24.6E6 mm^4.

To find the moment of inertia of the shaded area about the B-B' axis, we can use the formula I = ∑m*r^2, where m is the mass of each particle in the shaded area, r is the distance of each particle from the B-B' axis, and the sum is taken over all particles in the shaded area.

We are given that the moment of inertia of the shaded area about the A-A' axis is

and that the area of the shaded region is

We are also given the distances

which correspond to the distances of the two particles in the shaded region from the B-B' axis.

The mass of each particle in the shaded region can be calculated by dividing the total mass of the region (which is equal to the product of the area and the density of the material) by the number of particles. Since the density of the material is not given, we cannot calculate the mass of each particle.

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Complete Question:

If the moment of inertia of the shaded area about the A-A' axis is 18E6 mm, what is the moment of inertia about the B-B' axis?

Given: A6E3 mm², ds-50 mm, d₂-10 mm

a. none of these answers

B. 21.2E6 mm^4

C  25.2E6 mm^4

D. 26.3E6 mm^4

E. 24.6E6 mm^4

Stone weight in kilograms, m = 1.6 0.2 m is the radius. The rotational rate torque of a di is = I I

It is the circumference of a circle. A radius can indeed be defined as a line drawn around the circle's perimeter from any point to its center. Depending on whether you know the circle's diameter, circumference, or area, you can calculate the radius using one of three formulas.

The diameter of a circle cuts through the center, whereas the radius circumscribes the circle from edge to edge. The size of a circle essentially divides it in two.

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A. You have decreased the sound intensity by 0.01 factor if you install special sound-reflecting windows that lower the level of sound intensity by 20.0 dB.

B. No, Instead, if you cut the intensity in half, there is no difference in the sound intensity level (measured in dB).

To calculate the sound intensity reduction factor, use the relationship between loudness and intensity. Calculate the change in sound intensity using the reduced intensity. The following chart shows the relationship between the change in loudness and the level of sound intensity.

dl = 10log(I/I1)

Here, dl represents the change in loudness, I represents sound intensity, and I1 represents the reference sound intensity in air.

I =(I1/2)

(A) The following is the expression for a reduction in sound volume:

10log*(I/I1) divided by 20 equals dl.

(I/I1)

The negative symbol denotes a drop in sound volume.

log(I/I1) = -20/10

I/I1 = 10^(-20)

I/I1 = 1/100

I/I1 = 0.01

The reduction is thus 0.01 as a result.

B) The initial and ending values of the sound intensity parameters affect how loud the sound is. Sound is louder and its waves are more intense. Loudness increases by 10 times for every 10dB increase in sound intensity. The intensity is reduced by a factor of two from its initial value, hence the change in sound intensity is negative. The strength of the ear's perception of sound is referred to as sound loudness.

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a) The maximum force that can be applied horizontally to the crate without moving it is 58.8 N.

b) The magnitude of the acceleration on the crate that starts to slip is  1.96 m/s².

The given problem is based on the concept of friction. If the crate is stationary and maximum horizontal force is applied, maximum static friction will act. If the crate starts sliding, kinetic friction will start to act. Newton's laws can be written in both cases. With the solution, we will get the maximum horizontal force in the first case and the acceleration in the second case.

a) A crate is not moving:

Because the crate is in balance

N = m.g

[tex]F_s[/tex] = Static

[tex]F_s[/tex] < F_max and F_max = μ[tex]_s[/tex]mg

In question:

μ[tex]_s[/tex] = 0.5, m = 12 kg, g = 9.8 m/s

F_max = μ[tex]_s[/tex]mg

F_max = 0.5 x 12 x 9.8

F_max = 58.8 N

b) Crate has started slipping:

F = F[tex]_s[/tex] - F[tex]_k[/tex]

m.a = μ[tex]_s[/tex]mg - μ[tex]_k[/tex]mg

   a = g (μ[tex]_s[/tex] - μ[tex]_k[/tex])

   a = 9.8 (0.5 - 0.3)

   a = 1.96 m/s²

So, crate acceleration has started slipping is 1.96 m/s²

Complete question:

Suppose you have a 120-kg wooden crate resting on a wood floor (μ[tex]_k[/tex]

= 0.3, μ[tex]_s[/tex] = 0.5).

(a) what maximum force can you exert horizontally on the crate without moving it?

(b) if you continue to exert this force once the crate starts to slip, what will the magnitude of its acceleration then be?

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W=117.36 N is the weight of a 72-kg astronaut on the Moon (g = 1.7 m/s2)

Equation

W=mg

W=72 kg *1.63 m/s²

W=117.36 N

Weight is force, and the Newton is its unit.

what is an astronaut?

An astronaut is a person who has been trained, outfitted, and sent into space by a human spaceflight programme to work as a commander or crew member on a spaceship. The word astronaut is derived from the Ancient Greek words v (astron), which means "star," and (nautes), which means "sailor." The phrase is occasionally used to refer to anyone who travels into space, including scientists, politicians, media, and tourists, despite the fact that it is typically designated for professional space travellers.

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The velocity of the child is 3.36 m/s. Then, the distance it covered is 14 meters. The radius from the centre is then, 2.24 m.

Centripetal acceleration is the acceleration of a body moving through a circular paths. It is the rate of change of its angular velocity.

The acceleration of the child = 0.80 ms/²

time  = 4.2 s

velocity = time interval × acceleration

             = 4.2 s ×  0.80 ms/²= 3.36 m/s.

Then the distance covered  = velocity × time

= 3.36 m/s × 4.2 = 14.22 m.

This is the circumference of the circular path which is equal to 2πR.

The distance from the centre = radius of the path.

2πR = 14.22 m

R = 2.24 m

Therefore, the child will be 2.24 m far from the center of the ride.

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Wavelengths of sound waves fall within such obstacles and are easily diffracted.

Sound waves have higher wavelengths, which are comparable in dimension to opaque encounters in our everyday life. Thus, diffraction effects are more visible in sound waves than in light waves. Sound waves have much longer wavelengths than visible light waves.

Wavelength is the distance between identical points in adjacent cycles of a waveform signal propagating in space or along a wire. In wireless systems, this length is usually expressed in meters, centimeters, or millimeters. Wavelength is the distance between two wave crests and the same for wave troughs.

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The bulk modulus of the liquid is  0.25 × [tex]10^{10}[/tex]Pa

Given  ρ = 1000kg/[tex]m^{3}[/tex],n = 145 HZ, λ = 10m

We have velocity of wave v = nλ

v = 145 × 10 = 1450m/s

The velocity of longitudinal wave in a liquid of density ρ  is given by.

V = √K/ρ

K = bulk modulus of liquid

1450 = [tex]\sqrt{K/1000}[/tex]

K = 0.25 × [tex]10^{10}[/tex]Pa

A substance's bulk modulus (sometimes written as "displaystyle K" or "displaystyle B") indicates how resistant it is to compression. It is described as the proportion between an increase in pressure that is infinitesimally small and the ensuing proportional decrease in volume. [1]

Shear and Young's moduli both explain how the material responds (strains) to different types of stress. The former defines how the material responds to shear stress, while the latter describes how the material responds to normal (lengthwise stretching) stress. Only the bulk modulus of a fluid has any significance. The entire generalized Hooke's law must be used to fully describe the behavior of a complex anisotropic solid like wood or paper because the information contained in these three moduli is insufficient.

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The power radiated by the sun is 3.93* 10²⁶W.

What is power ?

Work rate or energy delivery time is expressed as W/t, where W is the quantity of work completed or energy delivered, and t is the time interval.

What is intensity ?

Intensity is the amount of energy a wave carries over a surface of a particular area in a unit of time, and it is the same as the energy density times the wave speed. The most popular unit of measurement is watts per square metre. The strength and size of a wave affect its frequency.

The main concept used to solve this problem is power emitted by radiation.

Initially, find the surface area covered by the sun’s radiation using the formula of area of a sphere. Then, use the expression of power to find the power radiated by sun.

The surface area of a sphere can be written as follows:

A= 4πr²

Here, r is the radius.

The power emitted by radiation can be calculated by using the following expression:

P= IA

Here, I is the intensity and A is the area.

Step: 1

The surface area of a sphere can be written as follows:

A= 4πr²

Substitute

1.5*10⁻¹¹m

for r in the above expression.

A=4π ( 1.5*10¹¹M ) ²

= 2.8274*10²³m²

The sun emits radiation in all the directions around it and in a uniform way. This means that the level of intensity of the radiation reaching earth will be same for all the objects which are placed at the same distances from the sun. that is, the surface area of the sphere of radius as the distance between sun and earth will get same intensity of the radiation emitted by the sun.

Use the expression of power to find the power radiated by sun.

Step: 2

The power emitted by radiation can be calculated by using the following expression;

P= IA

Substitute

1390W/m²

for I and

2.8274*10²³m²

for A in the above expression.

P= (1390W/ m²) ( 2.87274*10²³m²)

= 3.93*10²⁶W

The radiation emitted from the sun is spread over large spherical surfaces, so the energy per unit square meter decreases as the radii of the spherical surface increases. The far the planet from the sun, the smaller will be the energy per unit square meter.

Therefore, the power radiated by the sun is 3.93* 10²⁶W.

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The total work done by the woman is 1000J.

The work done by a force is defined as the product of the displacement component of the force and the magnitude of that displacement. method. Work can be calculated by multiplying the force and the displacement in the direction of the force as

When a person pushes against a wall the displacement of the wall is zero because the wall does not move when a force is applied to it. The work done by a force is the product of the component of the force applied to the body in the direction of displacement and displacement.

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The statement that is not true about magnetic field line is that they are always from north to south inside the magnet.

When a bar magnet is observed closely in the presence of the small metal granules.

We can observe a pattern, the magnetic field lines are always from north to south outside the magnet.

But when we talk about inside the magnet the direction of the magnetic field lines are from South to North.

Magnetic lines forms a loop like shape outside the magnet the direction of which is given by a tangent drawn to the curve of the magnetic field line.

The direction of the magnetic field line is tangential at the curves.

So the only statement that is not true about the magnetic field lines are that they are from north to south inside the magnet.

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If the ball exits the track while undergoing an acceleration of 3g, 55.4m away from the base of the track does the block land

Acceleration ac = V²/R = 3g

V = √3gR

By using kinematic equation for vertical motion of ball,

S = u t  + 1/2 gt²

S = 2R, U = 0

t = √4R/g

Horizontal distance is given by

D = vt = √3gR × √4R/g

D = 2√3 R

D = 55.4m

To get the equation for the horizontal distance, one can rearrange the slope percent equation. Divide both sides by run to rewrite the equation's terms. The slope percent is applied to both sides. Horizontal distance is calculated as run = (rise 100) / slope%. When two points are separated by a horizontal distance, the slope is zero percent.

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Her average acceleration (in m/s2) during this time is  8.5 mph / sec².

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

V 1 = 41

V 2 = 18

time = 2.7 seconds

Acceleration = V2 - V1 / time

                      = 18 - 41 / 2.7

                       = 23 /2.7

                       = 8.5 mph / sec²

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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The value of the damping constant of the tuning fork will be equal to the value 0.23 s⁻¹.

The equation for the damping of harmonic system is expressed as

y = Xe^(-Ct) sin(ωt)

where Xe^(-Ct) = A that is amplitude and C is the damping constant.

If we assume that at time = t the value of A = K and at time = t + 6 the value of A = K/4 then the expression for amplitude will be

K = Xe^(-Ct)

K/4 = Xe^(-C(t + 6))

On dividing the two equations we get

4 = e^(6C)

Taking natural log on both sides we get

ln(4) = 6C

=> C = 1/6 ln(4)

=> C = 0.23 s⁻¹

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ω₁ = ω₂ = ω₃ Every particle rotates about the axis of rotation with a constant angular velocity (ω). The rank for velocity is v₃ > v₂ = v₁ because = r and r₁ = r₂<r₃.

A pseudovector used to express how quickly the angular location or orientation of an item changes over time is called an angular velocity or rotational velocity ( or ). (i.e. how quickly an object rotates or revolves relative to a point or axis). The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves. The right-hand rule is typically used to specify the direction of angular motion.

The angular velocity comes in two flavors.

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The uncertainty principle of the wave nature of particles does not matter as much when looking at macroscopic objects because, unlike microscopic objects, their location and velocity don't change when photons strike them.

The uncertainty principle states that an object's position and velocity can't be measured exactly at the same time. It applies commonly to particles that can only be observed using a microscope. That is because, for objects as small as them, when light strikes them, their location and velocity may get altered.

Macroscopic object, on the other hand, does not get any significant alteration by photons. While they may be altered, the amount is very minuscule that it has hardly any consequence, making the uncertainty principle insignificant for macroscopic objects.

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The power of flash light is [tex]2.36*10^{-9}\ W[/tex] when light emits [tex]1.4*10^{10}[/tex] photons of wavelength is 490nm for 2.4 seconds.

The fundamental particle of light is both mundane and surprising. What physicists refer to as photons, laypeople may simply refer to as light. Photons are the smallest possible packets of electromagnetic energy as quanta of light.

Given,

The wavelength of photon = 490 nm

Number of photons, n= [tex]1.4*10^{10}[/tex]

The flash light lasts for time ,t =2.4 s

The energy of a single photon can be determined by formula,

[tex]E=\frac{hc}{\lambda}\\\\[/tex]

Where,

h= planck's constant = [tex]6.62*10^{-34}[/tex]

c=speed of light = [tex]3*10^8 m/s[/tex]

\lambda = wavelength of light =490 nm = [tex]490*10^{-9}m[/tex]

[tex]E=\frac{6.62*10^{-34}*3*10^8}{490*10^{-9}}\\\\E=4.05*10^{-19}\ J[/tex]

Then the energy for n photons will be [tex]nE=1.4*10^{10}*4.05*10^{-19}[/tex]

The power of the n photons can be determined by formula,

[tex]P=n*E*t\\\\P=1.4*10^{10}*4.05*10^{-19}\\\\P=2.36*10^{-9}\ W[/tex]

Thus, the power of the flash light is [tex]2.36*10^{-9}\ W[/tex]

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The puck is moving at an angle of 51 degrees from the x-axis.

As we can see from the graph of the question the value of x component of velocity  [tex]v_{x}[/tex] is nearly 24 cm/s and the value of y component of velocity [tex]v_{y}[/tex] is constant throughout the journey of puck and is equal to 30cm/s. For any instant of time the direction is given by the slope of the graph tanθ which is equal to the y component divided by the x component.

At the instant when t= 3s

[tex]v_{x}= 24 cm/s\\v_{y}= 30 cm/s\\[/tex]

Direction is given by the slope of the graph  

tanθ= [tex]\frac{v_{y} }{v_{x} } = \frac{30}{24}[/tex]=  1.25

θ= 51 degrees from x-axis (in anti-clockwise manner)

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Answer:

The free fall is a motion that happens when we let something fall from certain height, this motion only happens when the object falls because of its own weight without any initial force or initial velocity, because then we would be talking about a vertical motion.

The free fall is a uniformly accelerated motion that only moves in the vertical axis (“y” axis), with the condition that the initial velocity will always have to be equals to 0 and the acceleration will be the value of the gravity in the place of the motion (9.8m/s). When a free fall motion happens in perfect conditions (this means that there is no air or any other factor that affects the trajectory of the object) the object only moves vertically.

When an object is in free fall, it will star with a 0m/s velocity, but while time passes, the velocity of the object will increase progressively until it impacts the floor or any object that is in its trajectory, this is why, the higher the initial height is, the stronger the impact will be against the floor.

Free Fall Conditions

The trajectory of an object in free fall could be affected by the air masses, an atmospheric phenomenon also known as aerodynamic resistant. In theory an object in free fall only moves vertically, but because of the air masses the trajectory of the object could change, both vertically and horizontally, how much will the air masses affects the object will depend on the weight of the object, if the object is heavier, then the air masses will not affect the object that much.

The condition depends on the property of the material under free fall. For example, if the body has a certain mass as well as charged, it causes a deflection due to Earth's magnetic field. Also the Coriolis effect due to Earth's rotation (when dropped from space to earth) comes into play when the object falls from a much higher altitude.

In comparison to a galaxy and a planet, a star is heavier. an accurate comparison of the cosmological masses of various objects.

A galaxy has a mass that is between that of a moon and that of a planet. A planet has more mass than a star, which has less mass than a galaxy. The stars need a lot of mass to maintain nuclear fusion, which requires resulted in the production of each.

Planets and stars, solar systems, galaxies, and the cosmos are some key concepts to keep in mind in the following order: smallest to largest. Each phrase is a part of the following.

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Answer:

B. The refridgerant

Explanation:

this allows the refrigerant to absorb or release heat

Answer:

Main sequence star: (b) burns hydration as its primary fuel.

Explanation:

Black body spectrum forced planck to propose energy quantization Radiation occurs at a particular frequency that does not change.

Energy is the ability to perform work in physics. Different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc., can be assumed by it. Two further examples of how energy may be transferred from one body to another are heat and work. Energy is consistently distributed after being given in accordance with its kind. As a result, heat transfer can provide thermal energy while effort can produce mechanical energy. Motion is a property that all forms of energy have in common. When a body is moving, for instance, kinetic energy is present. Due to the device's integration of potential energy, a tensioned item, such a spring or bow, can move even when at rest.

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The amount of energy required by 3 kilogram of Manganese to raise the temperature by 20 degree kelvin is 28.8 KJ.

The heat capacity of manganese is given to be 0.480 KJ/kg-K.

We have to raise the temperature of 3 kilogram of Manganese by 20 degree kelvins.

We know that the change in heat of the compound is given by the formula,

Q = MC∆T

Where Q is the heat/energy gained,

C is the heat capacity of Manganese,

∆T is the total change in temperature of Manganese.

Putting values in the above relation accordingly,

Q = 0.480 x 3 x 20

Q = 28.8 KJ.

So the energy required to raise the temperature of Manganese by 20 kelvin is 28.8 KJ.

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In this case, the electric field is 340 N/C, and the area vector is normal to the surface, so the dot product of the two is 0.

Electric flux is a measure of the amount of electric field that passes through a given area. It is measured in units of coulombs per meter squared (C/m2). Electric flux is important in electric circuits and fields, as it allows for the calculation of electric field strength, current, and other electrical properties. Electric flux is related to the concept of electric field lines, which represent the direction of the electric field at any point.

The electric flux through the surface shown in the figure is 0 N ⋅ m2/C. This is because the electric field is perpendicular to the surface and so no electric flux is passing through it. The electric flux is calculated as the dot product of the electric field and the area vector, and since the two are perpendicular, the result is 0.

Mathematically, electric flux is given by the formula Φ = E · A, where E is the electric field and A is the area vector.

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Answer:

1/4

Explanation:

(2,3)=(x1, y1)

(6,4)=(x2,y2)

Then,

Slope=(y2-y1)/(x2-x1)

=1/4

The wavelengths are listed below in ascending order from left to right. Gamma rays, X-rays, UV, visible, infrared, microwaves, and radio waves are all types of radiation.

The electric field and magnetic field combine to form the numerous waves that make up the electromagnetic spectrum. The electromagnetic wave is considered to have both wave and particle behavior.

The wavelength and frequency of electromagnetic waves are essentially determined by the wave's particle-like components, known as photons, which carry the wave's energy. The term "electromagnetic spectrum" refers to the class of electromagnetic waves.

In order of increasing wavelength, electromagnetic waves include gamma rays, x-rays, ultraviolet, visible, infrared, microwaves, and radio waves.

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Resistance of material, R = 50 Ω

Ohm's law is one of the most fundamental and significant principles governing electrical circuits. Under the assumption that all physical parameters and temperatures stay constant, Ohm's law asserts that the voltage across a conductor is precisely proportional to the current flowing through it.

The German physicist Georg Ohm, who published a dissertation in 1827 describing measurements of applied voltage and current via basic electrical circuits with different lengths of wire, is credited with giving the rule its name.

Ohm's law, which modifies the connection between the voltage and the current by taking into account the resistance value, is crucial to understanding how electric circuits work.

As per the image attached below,

Using Ohm's Law,

V = I * R

At 100 v, current = 2 A

100 = 2 * R

R = 50 Ω

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The correct image of the questions is attached below:

The wavelength of the sound heard by a stationary listner located est of the truck is  0.332 m

F = fο (V/V - Vs) ,Doppler effect

  = 950 (340 / 340 -24) = 1022.25 HZ

λ = V / F = 340 / 1022.25 = 0.332 m

Everything in sound is a vibration. The larynx (voice box) of a person, the string of a guitar, or the loudspeakers on your radio all need to vibrate in order to produce sound. When sound waves move away from their source, vibrating particles knock into other vibrating particles, which in turn causes those other particles to vibrate and knock into still more particles, and so on. Our eardrums vibrate in response to air vibrations, and these vibrations are then transformed into nerve signals and delivered to our brains, which enable us to perceive sound. Similar to this, microphones translate air vibrations into electrical signals after detecting them.

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The gravitational potential energy of the bear decreases as the bear slides from top to bottom of the pine tree.

Given that,

Mass of the bear = 25 kg

Speed of the bear = 5.6 m/s

Height from which the bear slides = 12 m

Gravitational potential energy depends on the height of the bear. As the bear slides from top to bottom, the height keeps decreasing gradually. The formula for gravitational potential energy is P.E = m* g* h

where, m is the mass of the bear

g is the acceleration due to gravity

h is the height at which the bear stays

From the above relation, it is clear that, potential energy is directly proportional to the height of the object.

Thus, gravitational potential energy of the bear decreases as the bear slides down the pine tree.

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