ind the frequency at which gain is maximized for the forced damped harmonic oscillator with equation

Answer:

Heat for -20 to zero = .48 * 1000 = 480 calories

Heat to melt ice = 1000 * 79.7 = 79700 calories

Total calories required = 80,200 calories

80,200 cal * 4.19 J/cal = 336,000 J

336000 J / 1000 J/sec = 336 sec

336 sec / 60 sec/min = 5.6 min

(c - 5.55 min)

The car has a constant acceleration of 1.95m/s2 and reaches a top speed of 41.0m/s. The boat has a constant acceleration of 6.50m/s2 .

When it comes to mechanics, acceleration refers to how quickly an object's velocity changes over time. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of the net force acting on an item determines its acceleration.

According to Newton's Second Law, an object's acceleration is a sum of two factors:

The size of the net balance of all external forces acting on that thing is directly proportional to the net resultant force; the magnitude of the object's mass, depending on the materials from which it was created, is inversely related to the mass.

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The frequency of other tuning fork can be 240Hz or 250Hz and hence more than one option is correct

A recurring event's frequency is measured by how many times it occurs in a unit of time. To emphasize distinctions with spatial and angular frequencies, respectively, it is also sometimes referred to as ordinary frequency or temporal frequency.

Given that one tuning fork has a frequency of 245Hz

Additionally, it is stated that a 5 Hz is the beat frequency.

We know the beat frequency formula

[tex]f_ {beat}[/tex] = [tex]f_{2}[/tex] -[tex]f_{1}[/tex]

Suppose that the first tuning fork's frequency is equal to [tex]f_{1}[/tex], then

CASE 1:

5= 245- [tex]f_{2}[/tex]

[tex]f_{2}[/tex] =245+5

[tex]f_{2}[/tex] =250 Hz

CASE 2 :

5= 245 + [tex]f_{2}[/tex]

[tex]f_{2}[/tex] =245-5

[tex]f_{2}[/tex] =240 Hz

Hence there is more than one option is correct in the given question

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a holistic overview of underground hydrogen storage is all three.

Physically, hydrogen can be kept as either a gas or a liquid. Usually, high-pressure tanks are needed for gas storage (5000–10,000 psi tank pressure). Since hydrogen's boiling point at one atmosphere of pressure is -252.8°C, storage of hydrogen as a liquid necessitates cryogenic temperatures.

There are different ways and ways of storing hydrogen: 1) high-pressure gas cylinders (up to 800 bar), 2) cryogenic tanks with liquid hydrogen at 21 K, 3) hydrogen adsorbed on materials with a large specific surface area (at T100 K), and 4) absorbed on interstitial sites in a host metal (at ambient pressure).

In applications such as fixed power, portable power, and transportation, hydrogen storage is a crucial enabling technology for the development of hydrogen and fuel cell technologies.

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It does not affect the uncertainty of the velocity component in the y direction.

Any of a number of mathematical inequalities known as the uncertainty principle establishes a fundamental upper bound on the precision with which initial conditions can be used to forecast the values of some pairs of physical properties of a particle, such as location and momentum.

The measured and stated location of a particle is at x = 0 with zero uncertainty in the x direction.

According to the uncertainty principle, positional and velocity uncertainty are related along the same axis. The velocity component's x-directional component is infinitely uncertain due to the zero uncertainty in location along the x-axis, while the y-directional component is unaffected.

The correct option is (a).

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The intensity if the frequency is reduced from f to f / 2 and the displacement amplitude doubled is I.

The frequency of a repeated event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One (event) per second is equal to one hertz (Hz), which is how frequency is stated. The period is the reciprocal of the frequency since it is the length of time for one cycle in a repeating occurrence. For instance, the period, T—the space between beats—of a heart beating at a frequency of 120 beats per minute (2 hertz), is equal to 0.5 seconds (60 seconds divided by 120 beats).

I=P/4πr²

Given:

Initial frequency, f = f

Initial Intensity, I = I

Final Frequency, [tex]f^{'}=\frac{f}{2}[/tex]

We know that, The intensity of the speaker is,

[tex]I = \frac{1}{2}\rho \omega^{2}S_{max} ^{2}v[/tex]

Substitute the [tex]\omega[/tex] value in the above equation,

[tex]I = \frac{1}{2}\rho (2\pi f)^{2}S_{max} ^{2}v\;\;\;\;-----equation(1)[/tex]

Therefore, Final intensity of the speaker is,

[tex]I^{'} = \frac{1}{2}\rho (2\pi f^{'} )^{2}S_{max} ^{2}v\;\;\;\;-----equation(2)[/tex]

By dividing the equation (1) and (2), We get

[tex]\frac{I}{I^{'}} = \frac{\frac{1}{2}\rho (2\pi f)^{2}S_{max} ^{2}v}{\frac{1}{2}\rho (2\pi f^{'} )^{2}S_{max} ^{2}v}[/tex]

By taking constant parameters in to account, We get,

[tex]\frac{I}{I^{'}} = \frac{(f)^{2}(S_{max}) ^{2}}{(f^{'} )^{2}(S_{max} )^{2}}[/tex]

By solving the above equation, We get

[tex]\frac{I}{I^{'}} = \frac{(f)^{2}}{4(f^{'} )^{2}}[/tex]

Substitute the final intensity value in the above equation,

[tex]I^{'} = I[\frac{4(\frac{f}{2})^{2}}{f^{2} }][/tex]

By solving the above equation, We get,

[tex]I^{'} = I[/tex]

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A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. The physical field of a system of charged particles can also be referred to as the electric field.

In a uniform electric field E, a particle with electric charge q moves in a straight line. The speed of the particle is u.

The electric force exerted in the charge is qE.

The electric field and the velocity of the particle are both in the x direction.

Now, the momentum of the particle at any speed is given as:

p = γ mu = mu / √[ 1 - (u/c)²]

By Newton's law,

F =qE

F = dp/dt
qE = (d/dt) [ mu [ 1 - (u/c)²]^(-1/2)

qE =  m [ 1 - (u²/c²)]^{-1/2} du/dt + (1/2) mu[1 - (u²/c²)]⁻³/² (2u/c²) du/dt

Therefore,

qE/m = (du/dt) [( 1 - (u²/c²) + (u²/c²) ) / ( 1 - (u²/c²)⁻³/²

Now,

a = (du/dt) = (qE/m) (( 1 - (u²/c²) )⁻³/²

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Bubba-Joe carries out a careful investigation to determine the melting point of salicylic acid, and concludes that the value is 161.4 degrees Celsius. The melting point of salicylic acid is known very well as 158.6  degrees Celsius. Bubba's percent error will be 1.74 %

Percentage error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

estimated value of melting point = 161.4 °C

true value of melting point = 158.6 °C

percent error = ((true value - expected value) / expected value) * 100

                       = ((158.6 - 161.4 ) / 161.4 ) * 100

                       = 1.74 %

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The sound intensity of a jet engine radiating an acoustic power of 2.11×105 w sound at a distance of 50.3 m from the engine is approximately 6.64 [tex]W/m^2[/tex].

The intensity means the amount of loudness in it. The actual definition of intensity is the amount of power a sound has per unit area.

Mathematically, the intensity can be written as:

[tex]I=\frac{Power}{Area}[/tex]

The given data:

Power, P = [tex]2.11\times 10^5 W[/tex]

Area, A = [tex]4\pi d^2=4\pi (50.3)^2 m^2[/tex]

So using the formula, we have:

[tex]I=\frac{2.11\times 10^5}{4\pi (50.3)^2} \approx 6.64 W/m^2[/tex]

Hence, the intensity of a jet engine is approximately 6.64 [tex]W/m^2[/tex].

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Due to a single charge and the additional distance =2r, the electric field is E r times the distance of point y from the charge

New intensity is consequently equal to E/4.

From the point charge, the electric field extends in all directions. Spherical equipotential surfaces are represented by the circles. The vector sum of the individual fields may be used to compute the electric field from any number of point charges.

Volts per metre (V/m) is the electrical field's SI unit. The Newtons per coulomb are the same as this unit. These units have their roots in Newton, which stands for force, and Coulomb, which stands for charge.

Being a vector quantity, the electric. We understand that the electric field is defined by the force to test charge ratio.

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Answer:

Mount Everest formed from a tectonic smashup between the Indian and Eurasian tectonic plates tens of millions of years ago.

Explanation:

The difference between the amplitude at a distance of 60.0 cm and 240 cm is  I240 = 16×I60

           A240=4×I60

Δ∅240=4.Δ∅60

We are given distance of the center of the source for two waves:

D1=240 cm

D2=60.0 cm

b) Calculating how their amplitude compares:

[tex]A_{240} =\sqrt{\frac{I_{240} }{I_{60} } } .A_{60}[/tex]

[tex]=\sqrt{16} .A_{60}[/tex]

[tex]A_{240} = 4. A_{60}[/tex]

How can you determine a wave's phase?

The period, or length of each cycle, is determined by dividing the frequency by 1, so 1/100 corresponds to a period of 0.01 seconds. The phase shift equation is given by ps = 360 * td / p, where td is the time interval between waves, p is the wave period, and ps is the phase shift in degrees.

Phase: The "Phase" of a waveform refers to the location of the moving particle and is expressed in "Radians or degrees."

Phase difference, also known as "Phase angle," is the amount of time that one wave precedes or follows another.

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According to a signal velocity, the cable length is 9.45 inches.

We need to know about the velocity to solve this problem. The velocity can be determined as the total distance divided by the total time. It can be written as

v = d / t

where v is velocity, d is distance and t is time.

From the question above, we know that

v = 80%c = 0.8c = 2.4 x 10⁸ m/s

t = 1 ns = 1 x 10¯⁹ s

The length of cable can be represented by the distance

v = d / t

d = v . t

d = 2.4 x 10⁸ . 1 x 10¯⁹

d = 0.24 m

Convert to inches (1m = 39.37 inches)

d = 0.24 m

d = 0.24 x 39.37 inches

d = 9.45 inches

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Once its rockets have ceased firing, an Intercontinental Ballistic Missile will follow a path that is best described as an ellipse with the center of the Earth at one focus.

As the ellipse is the set of points, on a plane whose distance from two fixed points sums up to constant, in  That describes all free-fall paths near Earth, it got The Major Axis which is the longest diameter and the widest part of the ellipse it basically starts from one side of the ellipse crossing the center to the other side and the Minor Axis which is the shortest diameter and present at the narrowest part of the ellipse.As the ellipse explains all free-fall paths near Earth (free-fall is referred to as the acceleration of objects toward the Earth when dropped at rest)

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Answer: 6867 N.m

Explanation:

Work Done= (35*9.81)*20 = 6867 N.m

Answer:

Big Q represents the source charge which creates the electric field. Little q represents the test charge which is used to measure the strength of the electric field at a given location surrounding the source charge.

The source charge, or Big Q, is what generates the electric field. Little q stands for the test charge, that is used to gauge the intensity of the electromagnetic field around the source charge at a certain position.

Charged material experiences a force when it is exposed to an electromagnetic field because of the physical characteristic of electric charge.

You can have a positive or negative electric charge. Unlike charges attract one another, while like charges repel one another. Neutral refers to an object that carries no net charge.

Classical electrodynamics, the name given to early understanding of how charged particles interact, is still accurate for issues that do not call for taking into account quantum phenomena.

Electric current is a conserved attribute, meaning that the net charge—that is, the sum of the positive and negative charges in an isolated system—cannot change.

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The magnitude of the magnetic field in the region through the current passes is 8×10⁻³  T.

The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.

As we know:

F = ilB

F is the magnetic force

i is the current

l is the length

B is the magnitude of the magnetic field

Here F/l = 0.120 N/m

i = 15 A

B = (F/l)(1\i)

B = (0.120)(1/15)

B = 0.120/15

B = 8×10⁻³  T

Thus, the magnitude of the magnetic field in the region through the current passes is 8×10⁻³  T.

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Using uniform motion equation , the total distance travelled by the ball​ is 22.74m.

It is known as uniform motion when an object moves in a straight path at a constant speed. This indicates that the body's velocity stays constant as it travels the same distance in the same amount of time. The body will not accelerate in the case of uniform rectilinear motion. In this case, the object's average speed will be equal to its real speed.

Using equation of motion ;

[tex]s = ut +\frac{1}{2} at^{2}[/tex]

plugging in the values we get:

s = 22.74m

Therefore, using uniform motion equation , the total distance travelled by the ball​ is 22.74m.

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The equation perpendicular to the line is y=3.

The slope of the line [tex]$3 x+y=3$[/tex] is [tex]$m=-3$[/tex]

Hence slope of the perpendicular line is [tex]$\mathrm{m}^{\prime}=\frac{1}{3}$[/tex]

Therefore the equation of a perpendicular line is

Therefore the equation of a perpendicular line is

[tex]$(\mathrm{y}+1)=\frac{1}{3}(\mathrm{x}-3) $[/tex]

[tex](y+3)=\frac{1}{3}(x-1)[/tex]

Switch sides

[tex]\frac{1}{3}(x-1)=(y+3)[/tex]

[tex]$\frac{1}{3}(x-1)=y+3$[/tex]

Multiply both sides by 3

[tex]$3 \cdot \frac{1}{3}(x-1)=3 y+3 \cdot 3$[/tex]

Simplify

[tex]$x-1=3 y+9$[/tex]

Add 1 to both sides

[tex]$$x-1+1=3 y+9+1$$[/tex]

Simplify

[tex]$$x=3 y+10$$[/tex]

y= 3.33 (Approx 3)

The two different lines that cross each other at a 90° angle are called perpendicular lines. Have you observed any similarities between the walls' intersecting corners, such as the letter "L"? They are parallel lines, which are straight lines that cross each other at the proper angle.

If two lines cross at a 90° angle, we say that they are perpendicular to one another.

the vertex's matching angle is a right angle. All crossing lines are not necessarily perpendicular to one another, but perpendicular lines always cross each other. Perpendicular lines have two key characteristics.

In every case, perpendicular lines cross or intersect.

Any two perpendicular lines will always intersect at an angle of 90 degrees.

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Answer:

Acceleration:

a = 1  km/c²

Explanation:

Given:

V1 = 21 km/h

V2 = 9 km/h

Δt =13 s

________________

a - ?

a =(V2 - V1) / Δt = (21 - 9 ) /13 = 12 /13 ≈ 1  km/c²

Answer:- b

Explanation:

The temperature of the diatomic atom's environment will vary the contributing kinetic energies for its heat capacity. At 60 K or below, the main contributor of energy is translational energy only. When the temperature rises up to about room temperature to 600 K, the contribution of rotational energy starts to be significant. When the temperature exceeds 3000 K, vibration energy is contributing to the heat capacity of a diatomic gas.

The formula for the specific heat capacity at constant volume is:

 where d is for degrees of freedom.

The translational motion contribute 3 degrees of freedom, meanwhile, the rotational and vibrational motion contributes 2 each for the degrees of freedom. Having 29.1 J/mol-K as the molar heat capacity at constant volume, the equation will be:

Having the degrees of freedom = 7 means that d.) translation, rotation, and the vibration is contributing.

Answer: B

H= 2gu 2sin 2 is the expression for the total range of a projectile launched at an angle that reaches ground that is the same height at the launch position.

Let's imagine that a projectile is moving at a velocity of u at an angle of to the horizontal. After time t, the velocity will be v=v x i+v y j+v=ucos i+(usingt) j (because v y = usingt).

The projectile's only horizontal component at maximum height is vx =ucosv y 2u y2 =2ayv y =0(atm ax heightH)u y =usin ay=gH.

To put these values into context,

0=(usin) 2 2gH

H= 2gu 2sin 2

Projectile angular momentum is equal to mu cos h, where h stands for height. In the case of angular projection, the angle between the velocity and acceleration ranges from 0 to 180 degrees.

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It will point to the left and oppose the initially applied field the correct option is B.

The term "electric field" refers to the physical field that surrounds electrically charged particles and pulls or attracts all other charged particles nearby. Additionally, it describes the physical environment of a system of charged particles.

Let the electric field point to the right and the charge be positive. A positive charge will build to the right and the overly positive charge will be present there when the charge moves to the right in the field. In opposition to the external electric field, this new charge distribution will produce a field to the left.

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The electric force is 7.60 x 10¯⁸ N.

We need to know about the electrostatic force to solve this problem. The electrostatic force produced by charges interacting each other, whose strength is given by the equation

F = k.Q1 . Q2/r²

where F is the electrostatic force, Q1 and Q2 is the charge and r is the radius.

From the question above, we know that

k = 9 x 10⁹ Nm²/C²

Q1 =e = 6.96 x 10¯⁹ C

Q2 = e = 4.02 x 10¯⁹ C

r = 1.82 m

The electrostatic force will attract each other when the charges are different and will repel each other when the charges are same.

F = k.Q1 . Q2/r²

F = 9 x 10⁹ . 6.96 x 10¯⁹ . 4.02 x 10¯⁹/1.82²

F = 7.60 x 10¯⁸ N

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According to gravitational force, the weight would be greater by a factor of 2.

We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as

F = G.m1.m2 / R²

where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.

From the question above, we know that

m1 = m

m2 = 2m1 = 2m

R1 = R2 = R

Gravitational force is proportional to mass

F1 ~ M

Hence, the ratio of weight is

F2 / F1 = m2 / m1

F2 / F1 = 2m / m

F2 / F1 = 2

Hence, the weight would be greater by factor of 2 .

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The phrase which best describes the structure of an atom from the answer choices given above is a nucleus surrounded by an electron cloud.

The correct answer choice is option b

This means that an atom consist of a centrally placed nucleus in which electrons revolves around it. The nucleus of any given atom consist of protons and neutrons. Electrons revolve round the nucleus of any atoi

An atom is a smallest particle of an element that takes part in chemical reaction.

Atom is divided into three basic parts:

So therefore, the phrase which best describes the structure of an atom from the answer choices given above is a nucleus surrounded by an electron cloud.

The correct answer choice is option b

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If k = 0.34, the temperature of the liquid after 7 hours will be T(t) = 84.7°F.

We can solve the above problem using Newton's Law of Cooling.

According to this Law, the rate at which a hot body loses heat is directly proportional to the difference between the temperature of the hot body and that of its surroundings.

T(t) = [tex]T_{s}[/tex] + ([tex]T_{0}[/tex] - [tex]T_{s}[/tex])[tex]e^{-kt}[/tex]

where,

t= time

T(t) = temperature of the given body at time t

[tex]T_{s}[/tex] = surrounding temperature

[tex]T_{o}[/tex] = initial temperature of the body

k = constant

Substituting the values we get,

T(t) = 76 + (170-76)[tex]e^{(-0.34)(7)}[/tex]

T(t) = 84.7°F

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2.5 10 9 J of the 1.034 10 10 J total energy is kinetic energy, and 7.84 10 9 J is potential energy.

The average kinetic energy of the particles in an item is measured by its temperature. These particles move more quickly as the temperature rises. It is not the worst definition, but it is also not the finest.

The average kinetic energy (K) is determined by multiplying the RMS speed (vrms) by the square of the mass (m) of each gas molecule.

Thus, it may be inferred that the temperature is the single factor affecting the average kinetic energy of the molecules in a thermalized sample of gas.

A substance's temperature is directly related to the average kinetic energy of its particles. Because the particles' mass remains constant, they must travel faster as the planet warms.

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Answer:

Rutherford deduced that atoms were mostly empty space

Explanation:

The role described here is that of a project manager.

A project manager is one who is saddled with the responsibility of seeing to the actualization of a project. The project manager is the one that plans, manages and executes the project.

Looking at the description of Jaronda’s role, we can see that she is in charge of the planning, execution and implementation of the project. This means that she has taken up the role of the project manager.

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