how much does the earth weigh

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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Answer:

A

Explanation:

Hopefully this helps

Answer: 10

Explanation:

none just search it up

Answer:

There are 10 Grams per Dekagram

The speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s

The speed of a wave is the product of the frequency of the wave and its wavelength. Mathematically, it is expressed as:

\(v = f \lambda\) where:

f is the frequency

\(\lambda\) is the wavelength

Given the following:

f =85Hz

\(\lambda\) = 4 m

Substitute the given parameter into the formula:

v = 85 × 4

v = 340m/s

Hence the speed of wave with a wavelength of 4 m and a frequency of 85 Hz is 340m/s

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Given data,

Mass,

Acceleration,

Spring constant,

Acceleration due to gravity,

Accelerating upward,

Comsider the formula for force.

Thus, the spring compression is 25.68 cm.

Answer:

Red I'm pretty sure

Explanation:

Vocanic ash and sunsets. Volcanic eruptions can inject millions of tonnes of dust and gaseous sulfur dioxide into the stratosphere. ... The dust and aerosol produce vivid sunset and twilight effects like the intense yellow-red horizon and purple-pink glows of the photograph.

The sky is a Dark Black.

Explanation:

The smoke from the volcano fills the sky with black smoke

Answer:

The option that best describes the relationship between frequency and wavelength of electromagnetic waves is the third option

c. The frequency increases as the wavelength decreases

Explanation:

The frequency of an electromagnetic wave, 'f', is given by the following formula;

\(Frequency, \, f = \dfrac{Wave \ Speed,v }{Wavelength, \ \lambda}\)

From the above formula, the frequency of an electromagnetic wave is inversely proportional to the wavelength, and therefore, a higher frequency, ('f', to increase), requires a lower wavelength, (λ, decreases)

The correct option is that the frequency of an electromagnetic increases as the wavelength of the wave decrease.

The event that is possible when you toss a number cube labelled 1 to 6 is getting a number less than 7.  

It is certain that you will get a number less than 7 if you roll a number cube with the numbers 1 through 6. There are six possible outcomes for this scenario (all the numbers from 1 to 6). The likelihood of "receiving less than 7" is therefore 6 / 6 or 1.

Generally speaking, a probability of 0 denotes an event's impossibility while a probability of 1 denotes an event's certainty of occurring.

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Two light bulbs are parallel-connected in a circuit. If two more light bulbs were put in parallel to the initial ones, Each bulb's brightness would get dimmer as the circuit's overall resistance got lower. Because the circuit's overall resistance would rise, each bulb's brightness would also rise. Even if the circuit's overall resistance would decrease, each bulb's brightness would not change. Even if the circuit's overall resistance would rise, the intensity of each bulb would stay the same.

A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistors have a variety of purposes in electronic circuits, including lowering current flow, adjusting signal levels, dividing voltages, biassing active components, and terminating transmission lines.

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Given :

Speed of automobile for first 55 km , \(v_1=20\ km/h\) .

Speed of automobile for first 60 km , \(v_2=55\ km/h\) .

To Find :

Average velocity of the full trip .

Solution :

We know , average velocity is given by :

\(v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken }}\)

Now , time is given by :

\(T=\dfrac{D}{v}\)

So ,

\(v_{avg}=\dfrac{55+60}{\dfrac{55}{20}+\dfrac{60}{55}}\\\\v_{avg}=29.94\ km/h\)

Therefore , the average velocity (km/h) of the car during the full 115 km trip is 29.94 km/h .

Hence , this is the required solution .

A) Minimum recommended spiral parameter: 150.03m.

b) Distance P: 150.03m.

c) Distance Q: 4.122m.

d) Angle Φs: 16°30'14.0".

e) Distance Tc: 150.03m.

a) Calculation for the minimum recommended spiral parameter:

Design radius (R) = 300 m

Maximum superelevation (e_max) = 0.06 m/m

Spiral Parameter (A) = (R + e_max) / 2

A = (300 m + 0.06 m/m) / 2

A ≈ 150.03 m

b) Calculation for the distance P:

Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.

P ≈ 150.03 m

c) Calculation for the distance Q:

Distance Q represents the length of the circular curve. It is given by the formula:

Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)

Deflection angle at Point of Intersection = 16°30'14.0"

Converting the angle to decimal degrees:

16° + (30'/60) + (14.0"/3600) = 16.504°

Q = 16.504° / (360° / D)

Q ≈ D / 21.814

Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.

Q ≈ 90° / 21.814

Q ≈ 4.122 m

d) Calculation for the angle Φs:

The angle Φs is the deflection angle at the Point of Intersection.

Φs = 16°30'14.0"

e) Calculation for the distance Tc:

Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.

Tc ≈ 150.03 m

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Answer:

it is 59 degrees Fahrenheit

I'm pretty sure it's 59 °F

When an electron that is moving south enters a magnetic field of a certain strength, it curves upwards. The direction of the magnetic field is downward. Thus, the correct option is E) downward.

The magnetic field refers to the magnetic influence of electric currents and magnetic materials. The direction of the magnetic field is taken to be the direction of the force it would exert on a north-seeking compass needle.

A magnetic field can be produced by electric currents or magnetic materials. It surrounds and interacts with all magnetized bodies and magnetically charged particles, such as electrons and protons.

The electron curves upwards due to the Lorentz force that arises due to the interaction between the magnetic field and the moving charge of the electron. The magnitude of the force experienced by the electron is proportional to the strength of the magnetic field and the velocity of the electron.

As the electron is moving south, the direction of the magnetic field must be downward to cause the electron to curve upward. Therefore, the correct option is E) downward.

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The maximum kinetic energy of the ejected photoelectrons is 1.6eV if a 120-nm UV radiation illuminates a gold-plated electrode.

The maximum kinetic energy of the ejected photoelectrons can be determined using the equation E = hf - φ, where E is the maximum kinetic energy, h is Planck's constant, f is the frequency of the UV radiation, and φ is the work function of the gold-plated electrode.
The UV radiation with a wavelength of 120 nm has a frequency of approximately 2.5 x 10^15 Hz. The work function of gold is typically around 4.8 eV. Plugging these values into the equation, we get E = (6.626 x 10^-34 J.s)(2.5 x 10^15 Hz) - (4.8 eV x 1.6 x 10^-19 J/eV) = 1.6 eV.
Therefore, the maximum kinetic energy of the ejected photoelectrons is 1.6 eV. This means that any ejected photoelectron must have an energy less than or equal to 1.6 eV.
The maximum kinetic energy of the ejected photoelectrons can be determined by using the equation E = hf - φ, and for a 120-nm UV radiation illuminating a gold-plated electrode, the maximum kinetic energy is calculated to be 1.6 eV.

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The interstellar medium (ISM) is transparent at near-infrared and radio wavelengths but opaque in visual wavelengths   due to the following reasons:

1. Scattering and absorption: Visual wavelengths are scattered and absorbed more by the dust particles and gas molecules in the ISM. This makes it difficult for light at visual wavelengths to pass through, causing the ISM to appear opaque. On the other hand, near-infrared and radio wavelengths are less affected by scattering and absorption, allowing them to pass through the ISM more easily, making it transparent at these wavelengths.

2. Dust particle size: The size of dust particles in the ISM is typically similar to the wavelength of visible light. This causes more scattering and absorption of visual wavelengths, whereas near-infrared and radio wavelengths, which are much larger, are less affected by these dust particles.

3. Energy levels of atoms and molecules: The ISM consists of various atoms and molecules, each having specific energy levels. Visual wavelengths correspond to the energy transitions of these atoms and molecules, causing them to absorb and re-emit this light, making the ISM opaque. Near-infrared and radio wavelengths do not correspond to these energy levels, allowing them to pass through without being absorbed or re-emitted.

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Given two objects of the same mass but of different sizes, the one that has a greater density is: a. the smaller object

Due to the density of an object is the relation that exist between the mass and the space that the object occupies, if we have two objects with the same mass the one that is going to have a greater density is the smaller object because it occupies less space with more mass.  

We can prove it using the density formula to solve the following exercise:

Two objects have a mass of  100 g, and their volume are 20 cm³ and 10 cm³ respectively, what is the density of each one?

The general formula of the density is:

d = m/v

Where:

Information about the problem:

Applying the density  formula we get:

d = m/v

d1 = 100g/20 cm³

d1 = 5g/cm³

d2 = 100g/10 cm³

d2 = 10g/cm³

With the results we can confirm that the object that has the greater density is the smaller, because it has less volume.

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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Answer:

The Sun derives all its energy from a fusion cycle. In that process, tiny hydrogen molecules combine into a continuous proton-proton chain to create larger helium nuclei. The above figure illustrates the fusion of hydrogen into helium.

Explanation:

Hope this helps.

Answer:

nuclear fusion

Explanation:

In this process, small hydrogen molecules fuse together to form bigger helium nuclei in a continuous proton-proton chain.

Answer: Exothermic

Explanation:

An exothermic reaction causes an increase in temperature. This is because the energy released when the bonds are broken among the reactants is greater than than the energy absorbed when new bonds are formed among the products. This leftover energy gets passed along to the surroundings, where it produces a measurable increase in heat.

While alloys are melted mixtures of two or more metals, true metals are unadulterated components. Due to their tendency to be shinier, heavier, and harder than the majority of materials, as well as the fact that they are great heat- and electricity-conductors, metals, and alloys are simple to differentiate from nonmetals.

As a compound or a solution, an alloy is a metallic material made up of two or more elements. Although carbon, a nonmetal, is a crucial component of steel, alloys typically contain metals as their own constituents.

Typically, the mixture of elements is melted to create an alloy. In very early periods, the value of alloys was discovered; brass (copper and zinc) and bronze (copper and tin) were particularly significant.

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The magnitude of the change in the momentum of the ball is 9 kg m/s.

To find the magnitude of the change in the momentum of the ball, follow these steps:

STEP 1. Calculate the initial momentum: Momentum (p) = mass (m) × speed (v).

The initial momentum, use the mass of the ball (0.5 kg) and its initial speed (7.1 m/s).

p_initial = 0.5 kg × 7.1 m/s = 3.55 kg m/s

STEP 2. Calculate the final momentum : Since the ball reverses direction, its final speed is -10.9 m/s (negative sign indicates the opposite direction).

Use the same mass (0.5 kg) and the final speed (-10.9 m/s).

p_final = 0.5 kg × -10.9 m/s = -5.45 kg m/s

STEP 3. Calculate the magnitude of the change in momentum: Change in momentum (Δp) = p_final - p_initial
 

Δp = -5.45 kg m/s - 3.55 kg m/s = -9 kg m/s

STEP 4. Since magnitude refers to the absolute value of a quantity, ignore the negative sign:
 

Magnitude of change in momentum = 9 kg m/s

So, the magnitude of the change in the momentum of the ball is 9 kg m/s.

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Answer:

False

Explanation:

Just took the test

False, because hypochondriacs think they have a significant, undetected medical ailment even when testing reveal they are healthy.

A hypochondriac is someone who, despite diagnostic testing showing they have no health issues, lives in constant anxiety that they have a terrible, undetected medical illness. They are obsessed with the concept that they suffer from a major illness that has gone untreated.

In adults, hypochondriasis often begins to manifest. Among the symptoms are a persistent, strong anxiety of developing a major illness and concern that seemingly little symptoms portend a larger problem. A patient may change physicians or see them regularly.

Medication and counselling could be helpful.

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Answer:

By attaching directly to the bone.

Explanation:

Muscles pull on the joints, allowing us to move. They also help the body do such things as chewing food and then moving it through the digestive system. Even when we sit perfectly still, muscles throughout the body are constantly moving.

2.48 × 10⁻¹² C charge can be packed onto a green pea before the pea spontaneously discharges.

The electric field at the surface of the sphere is given by the formula:

E = k × Q / r²

where:

k is the Coulomb's constant (8.99 × 10^9 N m²/C²),

Q is the charge on the sphere, and

r is the radius of the sphere.

Given:

Electric field strength for the breakdown, E = 2.85 × 10^6 N/C

Diameter of the pea, d = 0.620 cm = 0.0062 m

the electric field at the surface of the pea using the formula:

E = k × Q / r²

Q = E × r² / k

Q = 2.85 × 10⁶ ×  0.0062²/ 8.99 × 10⁹

Q = 2.48 × 10⁻¹² C

Therefore, 2.48 × 10⁻¹² C charge can be packed onto a green pea before the pea spontaneously discharges.

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Where MI cable terminates, a seal shall be provided immediately after stripping to prevent the entrance of moisture into the insulation.

When terminating MI (mineral-insulated) cable, we need to ensure that the cable is properly sealed to prevent the ingress of moisture into the insulation. Moisture can cause corrosion, breakdown of the insulation, and other problems that can compromise the safety and integrity of the cable.

To prevent this, a seal should be provided immediately after stripping the cable. The seal should be applied securely and in accordance with the manufacturer's instructions to ensure that it provides an effective barrier against moisture ingress.

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Explanation:

The object is not moving, because the distance is a constant value regardless of the time value.

The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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Answer:

Elements in a family have the same

Ans C. number of valence electrons

Answer:

temperature is essentially the speed of the molecules.

Explanation:

temperature is the kinetic energy of molecules, and kinetic energy is dependent on velocity.

If the electroscope's leaves separate, it means that the object placed close to the electroscope has a charge, whether positive or negative.

When an electrified stimulus is in proximity to a neutral electroscope, the resulting charges from the stimulus will initiate a polarization of charge in the electroscope's leaves. The leaves will elicit identical electrostatic charge to that of the object and consequently experience repulsive forces, thereby leading to their displacement in opposite directions.

Hence, drawing upon the discernible oscillation of the leaves of the electroscope as evidence, it follows that the object in question possesses an electrical charge. To ascertain the polarity of said charge, additional experimentation or observation is requisite.

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