When converted to a household measurement, 9 kilograms is approximately equal to a

Answer:

the volume of the material is 0.0145 m^3 and its density is 20690.3 kg/m^3.

Explanation:

To solve the problem, we can use Archimedes' principle, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

Let's first find the weight of the unknown material in air:

W_air = 300 N

Next, let's find the weight of the unknown material in alcohol:

W_alcohol = 200 N

We can find the buoyant force acting on the material by subtracting the weight in alcohol from the weight in air:

F_buoyant = W_air - W_alcohol = 300 N - 200 N = 100 N

According to Archimedes' principle, this buoyant force is equal to the weight of the alcohol displaced by the material:

F_buoyant = ρ_alcohol * V * g

where ρ_alcohol is the density of the alcohol, V is the volume of the material, and g is the acceleration due to gravity.

Substituting the values we know:

100 N = 700 kg/m^3 * V * 9.81 m/s^2

Solving for V:

V = 0.0145 m^3

Finally, we can find the density of the material by dividing its weight in air by its volume:

ρ_material = W_air / V = 300 N / 0.0145 m^3 = 20690.3 kg/m^3

Therefore, the volume of the material is 0.0145 m^3 and its density is 20690.3 kg/m^3.

The energy level from which is emitted is n = 6

The frequency is\(7.3 * 10^14\) Hz

The Rydberg equation is a mathematical formula that relates the wavelengths of light emitted by an atom to the energy levels of its electrons.

Using the Rydberg equation;

1/λ= RH (1/\(n_{2}^2\) - 1/\(n_{1} ^2\))

1/\(410.2 * 10^-9\) = \(1.097 * 10^7\)(1/\(2^2\) - 1/  /\(n_{1} ^2\))

1/\(4.102 * 10^-7\) = \(1.097 * 10^7\)(1/4 - 1/\(n_{1} ^2\))

1/\(4.102 * 10^-7\) * 1/ \(1.097 * 10^7\) = (1/4 - 1/\(n_{1} ^2\))

0.22 = 0.25 -  1/\(n_{1} ^2\)

0.22 - 0.25 = -  1/\(n_{1} ^2\)

-0.03 = -  1//\(n_{1} ^2\)

\(n_{1}\) = 6

Using;

f = c/λ

\(3 * 10^8/4.102 * 10^-7 \\f = 7.3 * 10^14 Hz\)

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We can calculate the wavelength of the peak as follows:

λmax = 2.898 x 10^-3 μm K / 5.5 K = 0.526 μm

So, the wavelength of the peak is 0.526 μm.

The above wavelength is in the far-infrared range, which is different from the wavelength range in which the SST is designed to operate. The SST operates in the submillimeter range, which is significantly longer than the wavelength of the blackbody emission peak.

The wavelength of the blackbody emission peak does not compare favourably with the wavelength range in which the telescope is designed to operate. The telescope must be cooled to reduce its blackbody emission to operate effectively in the submillimeter range.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

the value of  \(y = 13.3\)

Explanation:

From the question we are told that

       The equation is  (x + y = 40)

        The first value of x is  \(x_1 = 26.7\)

        The second equation is  (0.75x + 1.5y = 40)

So  substituting \(x_1\)

     \(26.7 + y = 40\)

=>   \(y = 13.3\)

Now substituting y and  \(x_1\) into second equation

       \(0.75(26.7) + (1.5* 13.3) = 40\)

 =>  \(40 = 40\)

So  \(y = 13.3\)

The true statement about the electric potential for the equipotential surface is  \(V_A = V_B = V_C\)

A surface with an equipotential potential is one where all points on the surface have the same electric potential. .

That is an equipotential surface is that surface at every point of which, the electric potential is the same.

The formula for the potential across every point on the surface is given as;

V = F/Q x R

V = ER

where;

Since the surface is equipotential with uniform electric across the surface, the electric potential at any point across the surface will be the same.

So \(V_A = V_B = V_C\)

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Answer:

806.6 N

Explanation:

Given that :

Mass (m) = 74 kg

Acceleration due to gravity (g) = 9.8 m/s²

Acceleration during interval t1 = 1.10 m/s²

Using the relation :

Normal reaction = Mass (g + acceleration at interval t1)

Normal reaction = 74(9.8 + 1.10)

Normal reaction = 74(10.9)

Normal reaction = 806.6 N

Answer:

Explanation:

If the velocity during motion is constant, moving the crate four times as far will require four times the work

W = Fd

4W = F(4d)

The radius of strut so that the round and struts have same cross-sectional area = 2.764 mm and the critical load of a strut =  3.95*\(10^{-3}\).

Let Radius for a round strut = 'r'

Now, Square Strut:

As, method Cross Section is 24 X 1 (\(mm^{2}\))

So, Area, A' of cross-section = 24*1 = 24 \(m^{2}\)

>> As, Area of round cross-section, A = pi*\(r^{2}\)

Now, Given that, Both have same cross-section area

=> pi*\(r^{2}\)  = 24

Solving,

=> r = radius of round cross-section = 2.764 mm

>> Now, According to Buckling Criteria,

Critical Load for a Stru, Pcr = (pi*\(r^{2}\)*E*I)/Le\(q^{2}\)

>> Now, as both Struts or columns are simple supported at both ends

So, Leq = L = 1 m

Also, E = 200 GPa = 200*\(10^{9}\) N/m2

Now, I = Moment of Inertia

As, For Round Strut,

I = pi*\(r^{4}\)/4 = pi*2.7644/4 = 45.837 = 45.837*\(10^{-12}\)

=> Pcr = pi*\(r^{2}\)*200*109*45.837*10-12/12

Solving,

=> Pcr = 0.0905 kN  (CRITICAL LOAD FOR ROUND)

>> Now, For Strut,

As, Buckling places about axis with minimum Moment of Inertia

So, Imin = a*\(b^{3}\)/12 = 24*1*1*1/12 = 2   = 2*  \(10^{-12}\)

So, Putting every values in Critical Equation:

Pcr = p\(i^{2}\)*200*\(10^{-9}\)*2*\(10^{-12}\)/12

=> Pcr = 3.95*\(10^{-3}\) kN (REQUIRED CRITICAL LOAD STRUT)

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The voltage in the extension cord is 30 V.

The problem above can be solved using ohm's law

⇒ Formula:

V = IR.................. Equation 1

⇒ Where:

From the question, I think there was a slight error in the value of the current given it suppose to be 500 A, and not 5.00 A

⇒ Given:

⇒ Substitute these values into equation 1

Hence the voltage in the extension cord is 30 V

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Answer:

Explanation:

The three physical characteristics of a sound stimulus and their corresponding perceptual characteristics are as follows:

1. Frequency: Frequency refers to the number of vibrations or cycles per second that occur in a sound wave. It is measured in hertz (Hz). Frequency gives rise to the perception of pitch. Pitch is the subjective perception of how high or low a sound is. Higher frequencies are perceived as higher pitches, while lower frequencies are perceived as lower pitches. For example, a sound wave with a higher frequency would be perceived as a higher-pitched sound, like a whistle, whereas a sound wave with a lower frequency would be perceived as a lower-pitched sound, like a deep bass note.

2. Amplitude: Amplitude is the magnitude or intensity of a sound wave and is usually measured in decibels (dB). It represents the amount of energy carried by the sound wave. Amplitude gives rise to the perception of loudness. Loudness is the subjective perception of the strength or intensity of a sound. Greater amplitudes are perceived as louder sounds, while smaller amplitudes are perceived as quieter sounds. For instance, a sound wave with a higher amplitude would be perceived as a louder sound, like a thunderclap, whereas a sound wave with a lower amplitude would be perceived as a softer sound, like a whisper.

3. Timbre: Timbre refers to the quality or tone color of a sound. It is the characteristic that allows us to distinguish between sounds with the same pitch and loudness. Timbre is influenced by the complex combination of different frequencies, amplitudes, and waveforms present in a sound wave. It gives rise to the perception of the unique "sound signature" of an instrument or voice. For example, a guitar and a piano playing the same note at the same loudness would still sound different due to their distinct timbres. Timbre enables us to identify and differentiate between various musical instruments and voices.

In summary, frequency determines the pitch perception of a sound, amplitude influences the perception of loudness, and timbre defines the unique quality or tone color of a sound. These physical characteristics directly relate to the corresponding perceptual characteristics, providing us with a rich and diverse soundscape in our auditory experience.

The gravitational force between Earth and Mars can be calculated using the formula:

F = G * ((M1 * M2) / d^2)

where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 N m^2 / kg^2), M1 and M2 are the masses of the two planets, and d is the distance between their centers.

Plugging in the values, we get:

F = (6.67 x 10^-11 N m^2 / kg^2) * ((6×10^24 kg) * (6×10^23 kg)) / (15.3 x 10^7 m)^2

Solving this equation gives us the gravitational force between Earth and Mars as 2.7 x 10^22 N.

So, the gravitational force between Earth and Mars on May 30, 2016 was approximately 2.7 x 10^22 Newtons.

The gravitational force between Earth and Mars is approximately 2.3 x \(10^{17}\) Newtons.

The gravitational force between two objects can be calculated using the formula:

F = (G * m1 * m2) / \(r^{2}\)

Where F is the gravitational force, G is the gravitational constant (approximately 6.67 x \(10^{-11}\) N.\(m^{2}\)/\(Kg^{2}\)), m1 and m2 are the masses of the two objects, and r is the distance between their centers.

In this case, the mass of Earth (m1) is 6 x \(10^{24}\) kg, the mass of Mars (m2) is 6 x \(10^{23}\) kg, and the distance between them (r) is 15.3 x \(10^{7}\) km or 15.3 x \(10^{10}\) m.

Plugging these values into the formula, we have:

F = (6.67 x \(10^{-11}\)N.\(m^{2}\)/\(kg^{2}\)) * (6 x \(10^{24}\) kg) * (6 x \(10^{23}\) kg) / (15.3 x \(10^{10}\) m)^2

Simplifying the equation, we get:

F ≈ 2.3 x \(10^{17}\) N

Therefore, the gravitational force between Earth and Mars is approximately 2.3 x \(10^{17}\) Newtons. This force represents the attraction between the two planets due to gravity.

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The size of the angle θ of a point object moving from point A to point B along a circular path is 2πR / L.

To understand this, consider a simple example. Suppose that a point object that moves from point A to point B along a circular path with a radius of 1 meter. The distance between points A and B is also 1 meter. Therefore, the size of the angle θ is equal to 2π × 1 / 1 = 2π radians.

In general, the size of the angle θ = ratio of the circumference of the circle to the distance between points A and B. The circumference of the circle is equal to 2πR, where R = radius of the circle. Therefore, the size of the angle θ is equal to 2πR / L.

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Complete question:

A point object moves from point A to point B along a circular path with a radius R. What is the size of the angle θ?

The following elements are matched with their number of neutrons

1. 88 38 Sr - b. 50

2. 39 19 Ka - a. 20

3. 14 6 Carbon - c. 8

4. 234 90 Thorium plus 4 2 Helium - d. 74

To determine the number of neutrons for each element, we need to subtract the atomic number (which represents the number of protons) from the mass number (which represents the total number of protons and neutrons).

1. 88 38 Sr:

The atomic number of strontium (Sr) is 38, which means it has 38 protons. The mass number is 88. Subtracting the atomic number from the mass number: 88 - 38 = 50. Therefore, the number of neutrons in strontium is 50.

2. 39 19 Ka:

The atomic number of potassium (K) is 19, indicating 19 protons. The mass number is 39. Subtracting the atomic number from the mass number: 39 - 19 = 20. Hence, the number of neutrons in potassium is 20.

3. 14 6 Carbon:

The atomic number of carbon (C) is 6, representing 6 protons. The mass number is 14. Subtracting the atomic number from the mass number: 14 - 6 = 8. Thus, the number of neutrons in carbon is 8.

4. 234 90 Thorium plus 4 2 Helium:

The atomic number of thorium (Th) is 90, which means it has 90 protons. The mass number is 234. Subtracting the atomic number from the mass number: 234 - 90 = 144. However, there is also an additional helium (He) isotope mentioned with a mass number of 4 and atomic number of 2. Adding the number of neutrons from thorium and helium: 144 + 2 = 146. Hence, the number of neutrons in thorium plus helium is 146.

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The moment of inertia of the uniform cylindrical grinding wheel is 2,150 kgm².

What is the moment of inertia?

This refers to the angular mass or rotational inertia can be defined with respect to the rotation axis, as a property that shows the amount of torque needed for a desired angular acceleration or a property of a body due to which it resists angular acceleration. The unit is kgm².

From the question:

Mass,M =4.2kg

Radius, R=32Cm

The formula for calculating the moment of inertia for uniform cylindrical grinding wheel:

moment of inertia, I =1/2MR²

I =\(\frac{1}{2}\) * 4.2 * 32²

  =2,150.4 kgm²

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Answer:

u=20m/sec

v=0

a=5m/sec^2

v^2=u^2-2as[ here acceleration is negative]

0=400-2x5xs

-400= -10s

s= 40 metre.

The bus stop is 40 m away from the point at which it starts to slow down at -5 m/s².

The third equation of motion is -

v² - u² = 2aS

Given is a bus moving at a speed of 20 m/s. It begins to slow at a constant rate of 5 m/s² in order to stop at a bus stop.

We can write -

[u] = 20 m/s

[a] = - 5 m/s²

[v] = 0 m/s

Using the third equation of motion -

v² - u² = 2aS

- (20)² = 2 x - 5 x S

- 400 = - 10 S

S = 400/10

S = 40 m

Therefore, the bus stop is 40 m away from the point at which it starts to slow down at -5 m/s²

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Answer: 66.8 kilograms

Answer:

water

Explanation:

hope this helps

The total capacitance of two 15uF capacitors  connected in parallel is 30 μF .

The total capacitance of two 15  microfarads capacitors connected in parallel is 30 microfarads.

Given:

The two capacitors of 15 microfarads each in a parallel combination.

To find:

The total capacitance

Solution:

The capacitance of one capacitor = \(C_1= 15 \mu F\)

The capacitance of another capacitor =\(C_2= 15 \mu F\)

The total capacitance in parallel combination is given by:

\(C_T=C-1+C_2\\\\=15 \mu F+15 \mu F= 30 \mu F\)

The total capacitance of two 15uF capacitors connected in parallel is 30 microfarads.

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Answer:

The work done is 20 Joules (J).

Explanation:

To calculate the work done, we can use the formula:

Work = Force dot Displacement

Given the force vector F = 3i + 2j + 4k N and the displacement vector D = 2i - 3j + 5k m, we can calculate the dot product between these vectors.

The dot product of two vectors A and B is given by:

A dot B = (Ax * Bx) + (Ay * By) + (Az * Bz)

Calculating the dot product between F and D:

F dot D = (3 * 2) + (2 * -3) + (4 * 5)

      = 6 - 6 + 20

      = 20

Answer: we divide this equation by pV and use {C}_{p}={C}_{V}+ . ... The temperature, pressure, and volume of the resulting gas-air mixture

Explanation:

The new pressure of the gas relative to its initial pressure P₁ is P₁ × 1.09

From the question given above, the following data were obtained:

Initial temperature (T₁) = 20 °C = 20 + 273 = 293 K

Initial pressure (P₁) = P₁

New temperature (T₂) = 46 °C = 46 + 273 = 319 K

The new pressure of the gas can be obtained as follow:

P₁ / T₁ = P₂ / T₂

P₁ / 293 = P₂ / 319

Cross multiply

293 × P₂ = P₁ × 319

Divide both side by 293

P₂ = (P₁ × 319) / 293

Thus, the new pressure relative to it's initial pressure is P₁ × 1.09

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The GPE (Gravitational potential energy) of the balloon of mass 250 kg is 367500 J.

To calculate the GPE of the balloon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the GPE of the balloon is 367500 J.

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Albert Einstein was one of the greatest physicists of all time and is widely considered a genius. He made groundbreaking contributions to our understanding of the universe, including the theory of relativity and the famous equation E=mc².

Einstein's intelligence can be seen in his early academic achievements. He excelled in math and physics, and by the age of 16, he was already doing advanced physics research on his own. He went on to earn a PhD and made significant contributions to physics, publishing numerous papers and developing revolutionary theories.

Moreover, his ability to think creatively and critically is evidenced by his approach to problem-solving. He was known for his thought experiments, which allowed him to explore complex concepts and theories without the need for expensive equipment or experiments. He was also skilled at developing intuitive and elegant solutions to complex problems.

Therefore Einstein's intelligence is widely recognized and respected by scientists, scholars, and the general public alike. He is considered one of the most brilliant minds in history and has made a lasting impact on our understanding of the universe.

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Answer:

In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.

In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.

The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.

So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.

1) The starting temperature of the gas is 288 K

b) When the pressure is doubled, the temperature is 576 K

We know that we have to use the ideal gas equation so as to be able to obtain the temperature of the starting of the gas and we know that;

Pressure = 200 kPa or 1.97 atm

Volume =  3000 cm3  or 3 L

Temperature = ?

Number of moles = mass/molar mass = 7 g/28 g/mol = 0.25 moles

Then we have;

PV = nRT

T = PV/nR

T =  1.97 * 3/0.25 * 0.082

T = 5.91/0.0205

T = 288 K

If the pressure doubles and we have;

P1/T1 = P2/T2

P1T2 = P2T1

T2 = 2(1.97) * 288/1.97

T2 = 576 K

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Answer:

a) \(\Delta x=56.25 m\)

b) imagen adjunta

Explanation:

a) Primero debemos hacer la conversión de 81 km/h a m/s, esto es 22.5 m/s.

Ahora, usando la ecuacion cinemática, en un movimiento acelerado tenemos:

\(v_{f}^{2}=v_{0}^{2}+2a \Delta x \)

Queremos encontrar la posición hasta detenerse, osea vf = 0.

\(\Delta x=\frac{-v_{0}^{2}}{2a}\)

\(\Delta x=\frac{-22.5^{2}}{-2*4.5}\)

\(\Delta x=56.25 m\)

b) Para este caso el gráfico se encuentra adjunto.                                      

Espero que te sirva de ayuda!                                                                                                                                                                          

F source = 1700 HZ

v= source

S sound =332 m/s

Doppler equation:

F listener = F source ( speed of sound / speed of sound - v source)

A) v source 25 m/s

F = 1700 hz ( 332 m/s / 332m/s - 25m/s) = 1,838 HZ

B) v = - 25 m/s

F = 1700 hz ( 332 m/s / 332m/s + 25m/s) = 1581 HZ

C) 140 km/h = 39 m/s

F = 1700 hz ( 332 m/s / 332m/s - 39m/s) = 1,926 HZ

\(\begin{align}Q &= \frac{kA\Delta T}{d} \ &= \frac{(0.02)(0.0315)(90 - 22)}{0.005} \ &= 237.6\ \text{W}\end{align}\)

This is the rate of heat transfer through the insulated cup. Note that this assumes that the heat transfer is steady and one-dimensional, which may not be strictly accurate in reality.

\(\begin{align}\huge\colorbox{black}{\textcolor{yellow}{I hope this helps !}}\end{align}\)

\(\begin{align}\colorbox{purple}{\textcolor{lime}{Please mark as brillinest !}}\end{align}\)

\(\textcolor{cyan}{\small\textit{If you have any further questions, feel free to ask!}}\)

Answer:

He has a hangover.

Explanation:

Just something I know.