Use Wien's law and a sunspot temperature of 3800 K to calculate the wavelength of peak thermal emission from a sunspot. Express your answer to three significant figures and include the appropriate units.

Answer:

 E_g = m 392 J,      Ek = m 392

Explanation:

Mechanical energy is a very important concept since if the system does not have friction it remains constant

the potential energy of a system is

          E_g = U = m g (y2 - i)

          E_g = m 9.8 (40 -0)

          E_g = m 392 J

The kinetic energy for this system assuming it started from rest

          E_k = K = ½ m v2

how mechanical energy is conserved

         E_g = E_k

         Ek = m 392

Answer:

The current through all of the resistors will add up to 10 A.

Explanation:

Answer:

Similarity: >>Time is independent variable and such is on the x-axis. ... >>Distance time graph tells you how much distance you have travelled, while velocity time graph tells you your acceleration.  The difference between them is that the velocity-time graph reveals the speed of an object (and whether it is slowing down or speeding up), while the position-time graph describes the motion of an object over a period of time.

Explanation:

Answer:

It's d

Explanation:

Answer: D

Explanation:

Force of gravity

Answer:

1 Ampere.

Explanation:

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

Resistor 1 (R₁) = 20 ohm

Resistor (R₂) = 20 ohm

Voltage (V) = 10 V

Current (I) =?

Next, we shall determine the equivalent resistance in the circuit. This can be obtained as follow:

Resistor 1 (R₁) = 20 ohm

Resistor (R₂) = 20 ohm

Equivalent Resistance (R) =?

Since the resistors are in parallel connection, the equivalent resistance can be obtained as follow:

R = (R₁ × R₂) / (R₁ + R₂)

R = (20 × 20) / (20 + 20)

R = 400 / 40

R = 10 ohm

Finally, we shall determine the total current in the circuit. This can be obtained as illustrated below:

Voltage (V) = 10 V

Equivalent Resistance (R) = 10 ohm

Current (I) =?

V = IR

10 = I × 10

Divide both side by 10

I = 10 / 10

I = 1 Ampere

Therefore, the total current in the circuit is 1 Ampere.

To calculate the density, specific weight, and specific gravity of the oil in the cylindrical can, we'll use the following formulas:

Density (ρ) = Mass (m) / Volume (V)

Specific weight (γ) = Weight (W) / Volume (V)

Specific gravity (SG) = Density of substance / Density of reference substance

1. Density (ρ) = Mass (m) / Volume (V)

ρ = \(2.5 kg / 0.001419 ^3\)

ρ ≈ 1760.07 kg/m³

Therefore, the density of the oil is approximately 1760.07 kg/m³.

2. Specific weight (γ) = Weight (W) / Volume (V)

Weight (W) = Mass (m) × Acceleration due to gravity (g)

W = 2.5 kg × 9.8 m/s²

W ≈ 24.5 N

γ = \(24.5 N / 0.001419 m^3\)

γ ≈ 17248.54 N/m³

Therefore, the specific weight of the oil is approximately 17248.54 N/m³.

3. Specific gravity (SG) = Density of substance / Density of reference substance

In this case, the reference substance is usually water with a density of 1000 kg/m³.

SG = \(1760.07 kg/m^3 / 1000 kg/m^3\)

SG ≈ 1.76

Therefore, the specific gravity of the oil is approximately 1.76.

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The input current for an ideal transformer supplying 134 kW of power to a 120 V circuit with an input voltage of 14,500 V is 9.24 A.

To find the input current, we'll use the power and voltage relationship, and the ideal transformer equation:

1. Calculate output current: Power = Voltage x Current
Output Current = Output Power / Output Voltage = 134,000 W / 120 V = 1,116.67 A

2. Apply ideal transformer equation:
Input Voltage / Output Voltage = Output Current / Input Current
14,500 V / 120 V = 1,116.67 A / Input Current

3. Solve for Input Current:
Input Current = 1,116.67 A * (120 V / 14,500 V) = 9.24 A

Therefore, the input current is 9.24 A.

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First answer is Muscle tissue. Second answer is Nervous tissue. Third answer is Epithelial tissue. And last answer is Connective tissue.

a.600 cm³

b. 2.5 g/cm³

c.  2.0775 kg

In Physics, this Archimedes' Eureka moment is called the Archimedes Principle, which states that when a body is immersed in a liquid, it experiences an upward buoyant force, which is equal to the weight of the liquid displaced by the body.

According to the question

Mass of Eureka is 60g

Cross sectional area  is 60 square centimeters

Mass of steel piece is 20g

Density = 8g /cubic centimeter

a)The total mass of the can before the metal was lowered we need to add the mass of the eureka can and the mass of the water in the can.

To find the mass of the water but we can easily find if we know the volume of the can.

In order to calculate the volume we would have to multiply the area of the cross section by the height.

Here,

60cm² x 10cm = 600 cm³

To find the mass that water has in this case we have to multiply the water's density by the volume,

so we get....

\(\frac{1g}{cm^3}\) x 1000 = 1000g or 1kg

Now can calculate the total mass of the can before the metal was lowered, by adding the mass of the water to the mass of the can.

So we get....

1000g + 60g = 1060g or 1.06kg

b)The volume of the water that over flowed will be equal to the volume of the metal piece since, when we add the metal piece, the metal piece will force out the same volume of water as itself, to understand this more deeply you can read the about "Archimedes principle".

Knowing this we just have to calculate the volume of the metal piece an that will be the answer.

So this time in order to find volume we will have to divide the total mass of the metal piece by its density.

So we get

20g ÷ \(\frac{8}{cm^3}\) = 2.5 g/cm³

c)Now to find out the total mass of the can after the metal piece was lowered we would have to add the mass of the can itself, mass of the water inside the can, and the mass of the metal piece.

We know the mass of the can, and the metal piece but we don't know the mass of the water because when we lowered the metal piece some of the water overflowed, and as a result the mass of the water changed. So now we just have to find the mass of the water in the can keeping in mind the fact that 2.5 overflowed.

So now we the same process as in number a) just with a few adjustments.

\(\frac{1g}{cm^3}\) x (1000 - 2.5) = 997.5g

So now that we know the mass of the water in the can after we added the metal piece we can add all the three masses together (the mass of the can.

The mass of the water, and the mass of the metal piece.

Hence,

1060g + 997.5g + 20g = 2077.5 g or  2.0775 kg

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The conservation of energy law similarly holds that energy cannot be created or destroyed.

That's what the fundamental law of thermodynamics says. It is only possible to change the form of energy; it cannot be created or destroyed. This is sometimes known as the rule of energy conversion or perhaps the law of energy conservation.

The two aforementioned principles were unified into one when Albert Einstein published the formula E= mc2 at the start of the 20th century, resulting in the formation of the Conservation Law of Mass-Energy, which asserts that the total quantity of both mass and energy in the universe remains constant.

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if the universe is 13.8 billion years old, how can we see 46 billion light years away because space has also been expanding?

When total distance to distant cosmic objects like galaxies is taken into account, their measurement is referred to as cosmological distance. This distance accounts for universe's ongoing expansion. Space itself stretches as a result of the universe's expansion, causing two things' distances to grow even when they are not physically moving apart.

One may observe objects that are currently positioned farther distant than the age of the universe thanks to this stretching of space. For a very long time, light emanating from these far-off objects has been travelling through space. Light has essentially travelled a greater distance than the actual physical distance between us and the object because of the universe's expansion during that time.

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Plotting what is referred to as an H-R diagram for the stars in the cluster is part of the process in which the astronomy student will follow in this type of scenario.

This is referred to as the Hertzsprung–Russell diagram and is a scatter plot which depicts the relationships between stars' absolute magnitudes versus their effective temperature. It can also be inferred that the higher the luminosity of a star, the higher the temperature and vice versa.

This helps to depict stellar evolution as a result of the features used as parameters such as the life cycle as an older star will be less luminous when properly studied by people hereby making it easier to estimate the age of stars.

This therefore the reason why plotting a Hertzsprung–Russell diagram is very important.

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Colloid osmotic pressure (COP) is an osmotic pressure gradient equal to c. capillary OP – interstitial OP.

Colloid osmotic pressure, also known as oncotic pressure, is the osmotic pressure exerted by proteins and other colloidal particles present in the blood plasma. It plays a vital role in maintaining the balance of fluids between the capillaries and the surrounding interstitial fluid.

The capillary osmotic pressure refers to the osmotic pressure exerted by the proteins and colloids within the capillaries, which tends to draw fluid back into the capillaries. On the other hand, the interstitial osmotic pressure represents the osmotic pressure in the interstitial fluid, which is typically lower than the capillary osmotic pressure.

The colloid osmotic pressure gradient is the difference between these two pressures: capillary osmotic pressure minus interstitial osmotic pressure. This gradient helps to counterbalance the hydrostatic pressure and maintain fluid balance by preventing excessive filtration of fluid from the capillaries into the interstitial space.

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The correct answer is :

Mirror Parabola A mirror with a parabola-shaped reflecting surface is referred to as a parabolic mirror. The mirror is employed in search lights because it can precisely converge a broad parallel beam of light at the focus. Therefore, even at a great distance, the intensity of the reflected beam is unaffected.

Parabolic In search lights, concave mirrors with sizable apertures are utilized. For searching items in search light, we require a powerful parallel beam of light. The reflected rays from an object placed at a concave mirror's focus are parallel to one another and likewise parallel to the main axis. So, we position a light source at the concave mirror's focal point.

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All energy transformations in an ecosystem starts with the sun.

In the ecosystem, every living being depends on some kind of energy to survive. There are different types of sources of energy in the world. Like: Solar energy, wind energy, tidal energy, fuel energy.

However sun is the only reason behind every transformation of energy. For example wind energy generates from the movement of the wind. But wind is generated due to the pressure difference of two different placed, and this pressure difference is due to the temperature difference of that places. Which ultimately depends on the sun.

In other example, fuel energy derived from the fossils. Fossils are the decomposition of dead plants and animals in the presence or absence of oxygen. But theses plants and animal needs solar energy for photosynthesis and for their survival. So we can say that the sun is the only reason behind every transformation of energy in the eco system.

Hence the option b is correct.

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The focal length of the concave mirror will be 4.8 cm.

The focal length of the lens is length of the distance between the middle of the lens to the focal point.

It can be find out using the following lens formula as,

= 1/f = 1/v + 1/u

Here, (v) is the distance of the image, (u) is the distance of the object, and (f) is the focal length of the lens.

Here, the concave mirror produces a virtual image that is 6 times as large as the object. The object is 4 cm in front of the mirror, and the concave mirror produces a virtual image that is six times as large as the object.

Hence, the value of magnification (m) of the mirror is 6.

The object distance is 4 cm thus the image distance, using the magnification formula, can be given as,

= m = v/u

= v = m X u

= v = 4 X 6

= v = 24 cm

Put the values in the lens formula as,

= 1/f = 1/v + 1/u

= 1/f = 1/24 + 1/4

= 1/f = (1 + 6) / 24

= 1/f = 5/24

= f = 24 /5

= f = 4.8 cm

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Answer:

Acceleration of one cyclist=\(2.67m/s^2\)

Yes, the acceleration is higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds.

Explanation:

We are given that

Initial velocity of one cyclist, u=0 m/s

Final velocity of one cyclist, v=8m/s

Time, t=3 s

Initial velocity of another cyclist, u'=0

Final velocity of another cyclist, v'=30m/s

Time, t'=8 s

We know that

Acceleration, \(a=\frac{v-u}{t}\)

Using the formula

\(a=\frac{8-0}{3}=\frac{8}{3}=2.67m/s^2\)

Acceleration of one cyclist=\(2.67m/s^2\)

Acceleration of another cyclist, a'=\(\frac{30-0}{8}m/s^2\)

Acceleration of another cyclist, a'=\(3.75m/s^2\)

Yes, the acceleration of another cyclist is higher than the cyclist which accelerates from 0m/s to 8m/s.

Answer:

I think your answer would be D

Explanation:

To make the sphere neutral, we need to remove 1 electron.

To determine the number of electrons that must be removed to make the sphere neutral, we need to calculate the net charge of the sphere and then convert it to the number of electrons.

Given that the sphere has a negative charge of -1.60 x 10^-19 coulombs, we know that the net charge is -1.60 x 10^-19 C.

The charge of a single electron is also -1.60 x 10^-19 C. So, to neutralize the sphere, we need to remove an equal amount of positive charge, which corresponds to the charge of electrons.

To calculate the number of electrons needed, we can divide the net charge of the sphere by the charge of a single electron:

Number of electrons = Net charge / Charge of a single electron

Number of electrons = (-1.60 x 10^-19 C) / (-1.60 x 10^-19 C)

Number of electrons = 1

Therefore, to make the sphere neutral, we need to remove 1 electron.

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The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³

We know that density is defined as mass per unit volume. It is expressed as:

Density = mass / volume

Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:

Density = mass / volume

Density of olive oil = 690 / 750

Density of olive oil = 0.92 g/cm³

Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³

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The area of the trapezoid shown in the question is 110.5 m².

Area is the region bounded by a plane shape.

To calculate the area of the trapezoid, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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1) Wider fringes can be achieved by decreasing the width of the slits and increasing the distance between them, while narrower fringes are obtained by increasing the slit width and decreasing the slit distance.

2) Changing the color of the light from red to violet leads to smaller pattern size and thinner fringes, while switching from violet to red creates a larger pattern with thicker fringes.

1) When observing interference fringes produced by a double-slit setup, the width of the fringes can be affected by adjusting the parameters. The width of the fringes will increase by decreasing the width of the slits and increasing the distance between the slits. Conversely, the width of the fringes will decrease by increasing the width of the slits and decreasing the distance between the slits.

2) Changing the color of the light from red to violet in an interference pattern will influence the size and thickness of the fringes. Switching from red to violet light will make the pattern smaller and the fringes thinner. Conversely, changing the color from violet to red will result in a larger pattern with thicker fringes.

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The pulse traveled 1.25 cm in 2.5s. with 0.5 cm/s

From the equation of motion in 2 dimensions d = v*t ...... ( i )

As

where the time taken is 2.5 s

the velocity of pulse is 0.5 cm/s

to find the distance covered in a given time which a velocity of 0.5 m/s

so from equation (i)

So the distance it will be covered is 1.25 cm

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Answer:

yes An analysis published in 2014, taking into account the realistic thermodynamics for water and effects of salt, suggests that Ganymede might have a stack of several ocean layers separated by different phases of ice.

Explanation:

(a) The motor slip is calculated by subtracting the synchronous speed from the actual speed and dividing it by the synchronous speed.

(b) The motor line current can be determined using the formula I = P / (√3 * V * PF), where P is the power, V is the voltage, and PF is the power factor.

(a) The slip of an induction motor refers to the difference between its synchronous speed and the actual speed at which it operates. To calculate the slip, we subtract the synchronous speed (in RPM) from the actual speed and divide it by the synchronous speed. In this case, the synchronous speed can be calculated as 120 * (60 Hz) / (number of poles). Given that the motor operates at 1728 RPM, we can find the slip accordingly.

(b) The motor line current represents the current flowing through one line of a three-phase system. It can be calculated using the formula I = P / (√3 * V * PF), where P is the power in watts, V is the voltage in volts, and PF is the power factor. Given the power and voltage values provided, we can use this formula to determine the motor line current.

Induction motors, slip, power factor, and their calculations to gain a deeper understanding of motor performance and efficiency.

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The correct answer is (B) 610 J/K. The change in entropy of the water during the freezing process can be calculated using the following formula: ΔS = Q / T

where ΔS is the change in entropy, Q is the heat transferred during the process, and T is the temperature at which the heat transfer occurs.

In this problem, the water freezes at 0°C, which is the freezing point of water. During the freezing process, the water releases heat equal to the latent heat of the fusion of water, which is 33,400 J/kg. The mass of water being frozen is 0.50 kg. Therefore, the total heat released during the process is:

Q = mass x latent heat of fusion = 0.50 kg x 33,400 J/kg = 16,700 J

The temperature of the water remains constant at 0°C during the freezing process, so T = 273 K. Substituting the values into the formula, we get: ΔS = Q / T = 16,700 J / 273 K ≈ 61.0 J/K Therefore, the change in entropy of the water during the freezing process is approximately 61.0 J/K.

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To find

Acceleration is a change in what quantity Over time?

Explanation

Acceleration is defined as the change in velocity with respect to time interval.

Conclusion

The required quantity is

A. speed

Answer:

Explanation:

Hooke's Law is a linear representation that, in equation form, looks like this:

F = -kΔx where F is force, k is the spring constant, and Δx is the displacement of the spring when a Force is applied to it in the form of a mass hanging on the end of it. We need to use the equation to solve for the spring constant, k. Doing this by filling in the values we were given:

4 = -k(-12) the 12 is negative because the mass hangs below the point of equilibrium. This gives us that

k = 1/3. Now we'll use that in the next equation where we need to solve for displacement:

6 = -1/3(Δx) and

Δx = -18 cm