a closed piston-cylinder device initially contains air at an absolute pressure of 3 bar, temperature of 350 k, and occupies a volume of 0.2 m3 (state 1). heat transfer occurs to the air slowly until the absolute pressure increases to 5 bar and air occupies a volume of 0.6 m3 (state 2). assume that the pressure increases linearly with volume. assume that heat transfer occurs at a boundary temperature of 2000 k. molecular weight of air

When the orbital speed of satellite A is eighty-three times that of satellite B, the period ratio Ta/Tn equals 83:1.

The orbital speed of an astronomical body or object in a gravitationally bound system is the speed at which it circles around the barycenter or, if one body is substantially more massive than the other entities in the system combined, its speed relative to the center of mass of the most massive body. The object's orbital speed is the rate at which it circles around the barycenter of a system, which is generally a big body. The earth's orbital speed around the sun is 108,000 km/h. The orbital speed of a planet varies with its distance from the Sun. The greater the strength of the Sun's gravitational attraction on a planet, the quicker it travels.

Here,

The orbit of the two satellites is circular.

Also, Orbital speed of A is 2 times the orbital speed of B.

vₐ=2vₙ

v=2T

vₐ=2Tₐ

2vₙ=2Tₐ

vₙ=2Tₙ

Tₐ/Tₙ=83/1

The ratio Tₐ/Tₙ of the periods of the satellites is 83:1 when the orbital speed of satellite A is eighty-three times that of satellite B.

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The time required for the player to glide 5m after catching the ball would be 0.073 seconds.

What is conservation of momentum principle?

The conservation of momentum principle states that in an isolated system (one in which there are no external forces acting on it), the total momentum of the system will remain constant. This principle is based on the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed.

To calculate the time required for the player to glide 5m after catching the ball, we need to use the conservation of momentum principle.

The initial momentum of the system (player + ball) is 0, since the player is at rest. After catching the ball, the final momentum of the system is (72 kg) (0 m/s) + (0.145 kg) (18 m/s) = 2.61 kg m/s.

To find the final velocity of the player, we can use the equation:

Final momentum = Initial momentum + Impulse

where Impulse = force x time

The force is equal to the change in momentum of the system divided by the time it takes for the change to occur.

So, Impulse = (2.61 kg m/s - 0) / t

Also, the impulse is equal to the mass of the player multiplied by the change in velocity of the player.

So, (72 kg) (change in velocity of the player) = (2.61 kg m/s - 0) / t

Now we can calculate the time it takes for the player to glide 5m.

change in velocity = final velocity - initial velocity = 5/t

(72 kg) (5/t) = 2.61 kg m/s

t = (2.61 kg m/s) / (72 kg × 5 m/t) = 0.073 seconds

So, the player will glide 5m after catching the ball in 0.073 seconds.

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The direction of the direction of the force on the positive charge q will be towards left.

Lets assume that the Q is at the center of a coordinate graph, qa = qb = +7.50 nC are in third and second quadrant and qc = qd = -7.50 nC are in first and fourth quadrant. Then

F = k[-qQ(r₀-r₁)/(r₀-r₁)³ + qQ(r₀-r₂)/(r₀-r₂)³ + qQ(r₀-r₃)/(r₀-r₃)³ + -qQ(r₀-r₄)/(r₀-r₄)³]

According to the vectors

F = kqQ/r²[-(i+j) + (-i+j) + (-i-j) + -(i-j)]

F = kqQ/r²[-i -j + -i + j + -i -j + -i + j]

F = kqQ/r²[-4I]

I vector represent x-axis which is negative towards the left. As we can see that the resultant vector is in the direction of negative i-vector. As we assumed that the Q is at the center of the coordinate graph, so the direction of force will be left to the charge Q. Hence the correct option is C.

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The answer is C. Option C is the correct option. Not Specified by the Information Given.

The amount of work done by the gas on the walls of the cylinder is not specified by the information given. The amount of work done by the gas on the walls of the cylinder depends on the pressure of the gas, the temperature of the gas, and the volume of the gas.

Since none of these parameters are specified, it is not possible to determine the amount of work done by the gas on the walls of the cylinder. However, it is possible to determine the change in internal energy of the gas. Since 80 J of heat was added to the gas, the change in internal energy of the gas is 80 J.

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By dividing an object's charge by its basic charge, one can calculate the quantity of extra electrons (or protons, in the case of positive charges), in a system.

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Meta-analysis includes all of these such as systematic inclusion and exclusion criteria for studies, multiple, systematic searches to identify studies which answer a focused question, only quantitative studies are included in this. Thus, the correct option is B.

A meta-analysis is a statistical analysis which combines the results of multiple scientific studies. Meta-analyses of anything can be performed when there are multiple scientific studies available which are addressing the same question, with each of the individual study reporting measurements which are expected to have some degree of error in it.

The subjects from all the studies were pooled and statistically analyzed to determine the effect of the one thing such as relationship between wearing sunscreen and melanoma. This meta-analysis has been found to show a 50% reduction in the melanoma diagnosis among the sunscreen-wearers.

Therefore, the correct option is B.

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Your question is incomplete, most probably the complete question is:

Which of the following describe meta-analysis?

A. Systematic inclusion and exclusion criteria for studies

B. All of these

C. Multiple, systematic searches to identify studies that answer a focused question

D. Only quantitative studies are included

E. None of these

What is the capacitance of the parallel plate:
The capacitance of the parallel plate cannot change when it is isolated because it is determined by the physical characteristics of the plate, such as its area, distance between plates, and permittivity of the material between them. These characteristics do not change when the plate is isolated.

Capacitance is a measure of the ability of a component or system to store electrical energy. It is the ratio of the electric charge on a conductor to the potential difference between its ends. The unit of capacitance is the Farad (F). Capacitors are components that are used to store electrical energy and are found in many electronic circuits. They consist of two conductive plates separated by an insulating material called a dielectric.

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(a) The energy-system diagram is shown in the picture attached.

(b) The heat energy added is 86,295 Joule.

(c) It takes 144 seconds to complete the process.

We solve the problem with the formula for heat energy.

Heat is the energy that is transferred from higher to lower temperature. The quantity of heat energy (also called thermal energy) can be calculated by

A 150 g piece of ice is converted from -15°C to 50°C in a hot pot. The power rate is 600 Watts.

a. Make the energy-system diagram!

b. Total heat energy added! (Q total)

c. Time to complete the process! (t)

The diagram picture is shown in the attachment. The piece of ice is heated from -15 degrees Celsius to zero by the energy of Q₁. When it reaches zero temperature, the ice is melted by the energy of Q₂. After all the solid ice melts, the liquid water continues to rise in temperature up to 50 degrees Celsius by the energy of Q₃.

The scientific data shows

The total heat energy absorbed is

Qt = Q₁ + Q₂ + Q₃

Qt = mcΔT (ice) + mL (melting) + mcΔT (water)

Qt = m(c_ice × ΔT + L_fusion + c_water × ΔT)

Qt = 150[0.5 × (0-(-15)) + 80 + 1 × (50-0)]

Qt = 150[7.5) + 80 + 50]

Qt = 150[137.5]

Qt = 20,625 calories

Convert the unit from calories to Joule!

Qt = 20,625 × 4.184 Joule

Qt = 86,295 Joule

The time taken to complete the entire process would be

P = Q/t

600 = 86,295/t

t = 86,295/600

t ≈ 144 seconds

Hence, the process in the diagram as shown in the picture attached has the total heat energy of 86,295 Joule. It will take 144 seconds to complete the process.

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The correct statements are options given below:

(The complete question is attached below)

Under these considerations the correct answers would be

2. Sodium ions from the salt water on your hand moved onto the sphere

4. The excess negative charge from the sphere spread out all over your body

6. Electrons from the sphere moved into the salt water on your skin, where they reacted with sodium ions

7. After you touched it, the metal sphere was very nearly neutral.

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They'll be moving at the same speed when they reach the street.Weight (W), which is a force exerted on all objects on Earth by gravity, is a force.

Weight (W), which is a force exerted on all objects on Earth by gravity, is a force. A body can only accelerate through gravity (g) when it is falling freely. Because of this, velocity increases.

Weight (W), which is a force exerted on all objects on Earth by gravity, is a force.

As a result of gravity, both objects' velocities will alter.

This equation yields the same velocity for both items when one is hurled up and the other down:

where v is the end speed, v0 is the starting speed, h is the height difference between the building and the street, and g is the acceleration brought on by gravity.

Assuming upward speed to be positive.

They'll be moving at the same speed when they reach the street.

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The first nation south of the Sahara to achieve independence was Ghana, formerly the Gold Coast, on March 6, 1957.

What took place in Ghana in 1957?

On March 6, 1957, Kwame Nkrumah told the Ghanaian people that they were free and that "our beloved country, Ghana, is free forever." He also emphasized that "the African People are capable of administering their own affairs." Sub-Saharan Africa's first nation to attain independence from European colonial domination was Ghana.

Up until 1960, Ghana was a constitutional monarchy and parliamentary democracy. Following a national vote, Ghana was then proclaimed a republic. Following the Soviet example, the Second Development Plan (1959–1964) switched away from increasing state services and toward increasing productivity in the important sectors. In 1959–1964, expansion of secondary schools, as well as of vocational and higher education, became a top goal.

If Ghana was to play its leadership role in the liberation of Africa from colonial and neo-colonial rule, government spending on road building projects, mass education of adults and children, health services, and the construction of the Akosombo Dam were all crucial. Increases in the price and output of cocoa, gold, and oil during the past 30 years have contributed to Ghana's transformation: real GDP growth has quadrupled, extreme poverty has decreased by half, and in 2011, Ghana was upgraded to a lower middle-income country status.

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Summer is caused by the tilt of the Earth's axis. The Earth's axis is tilted at an angle of about 23.5 degrees relative to its orbit around the sun. As the Earth orbits the sun, different parts of the Earth receive more or less direct sunlight depending on the tilt of the axis. When the northern hemisphere is tilted towards the sun, it is summer in the northern hemisphere and winter in the southern hemisphere. This is the opposite when the northern hemisphere is tilted away from the sun, it is winter in the northern hemisphere and summer in the southern hemisphere.

Answer: Direct sunlight striking Earth

Explanation: I read it on a book of space.        : D

(a) The area of the leaf is  0.064 m².

(b) The length of the fiber is 10,359.2 m.

The area of the leaf is calculated from the volume of the leaf, while the volume of the leaf is calculated from the density and mass of the leaf.

V = m / ρ

where;

V = ( 4.295 g ) / ( 19.32 g/cm³ )

V = 0.22 cm³ = 0.22 x 10⁻⁶ m³

Ah = V

A = V / h

where;

A = ( 0.22 x 10⁻⁶ m³ ) / ( 3.449 x 10⁻⁶ m )

A = 0.064 m²

The length of the fiber is calculated as follows;

V = πr²h

h = V / πr²

h = ( 0.22 x 10⁻⁶ m³ ) / ( π x 2.6 x 10⁻⁶ m x 2.6  x 10⁻⁶ m )

h = 10,359.2 m

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The coefficient of variation for the 5 sodium control values is 1.61%.

Coefficient is a numerical value used to express the magnitude of a physical quantity in relation to another physical quantity. It is a constant value used to convert one set of units to another set of units, or to express the relationship between two physical quantities.

The coefficient of variation (CV) is a measure of the variability of a set of values relative to its mean. To calculate the coefficient of variation, we need to calculate the standard deviation of the values.
Standard deviation = √((140-138.2)2 + (135-138.2)2 + (138-138.2)2 + (140-138.2)2 + (142-138.2)2 / 5)
Standard deviation = 2.22
Coefficient of variation = (Standard deviation/mean)*100
Coefficient of variation = (2.22/138.2)*100
Coefficient of variation = 1.61%
Therefore, the coefficient of variation for the 5 sodium control values is 1.61%.

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The possible frequencies of the guitar string are 488 Hz and 536 Hz.

The possible frequency or frequencies of the guitar string is calculated by applying beat frequency formula.

Fb = Ft - Fg or

Fb = Fg - Ft

where;

Fg = Ft - Fb

Fg = 512 Hz - 24 Hz

Fg = 488 Hz

Fg = Fb + Ft

Fg = 24 Hz + 512 Hz

Fg = 536 Hz

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1. Increase in thrust: The same cause-and-effect relationship applies to a rocket sled. When the thrust of the rocket sled is increased, it will cause an increase in the acceleration of the sled.

Acceleration is the rate at which an object's speed or velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be caused by a number of factors, including forces, changes in gravity, or changes in direction. Acceleration is the second derivative of velocity with respect to time, or the rate of change of the velocity vector.

This is because the increased thrust generates more force, which in turn causes the sled to accelerate faster.
2. Increase in weight: The same cause-and-effect relationship applies to a rocket sled. When the weight of the rocket sled is increased, it will cause a decrease in the acceleration of the sled. This is because the increased weight will require more force to accelerate the sled, thus resulting in a slower acceleration.

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C) As shorter wavelength illumination and better quality lenses are used, magnification will increase and the limit of resolution will increase.

Wavelength illumination is a way of measuring the intensity of a light source in terms of the wavelength of the light being emitted.

Light microscopes use light of different wavelengths and high-quality lenses to magnify and enhance images. Shorter wavelength illumination, such as UV light, can provide greater resolution because it has a higher frequency than longer wavelengths, such as visible light. Additionally, higher quality lenses provide greater magnification and allow for a larger field of view. Thus, as shorter wavelength illumination and better quality lenses are used, magnification will increase and the limit of resolution will also increase.

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true, The rate at which a fluid deforms in response to a shear stress is referred to as its dynamic viscosity. It is a measurement of a fluid's resistance to deformation, and the Greek letter mu () is frequently used to represent it.

Absolute viscosity, commonly referred to as dynamic viscosity, is a measurement of a fluid's flow resistance. The amount of internal friction that a fluid possesses dictates how much force is necessary to move the fluid; this is a characteristic of the fluid. The amount of internal friction and force needed to move a fluid increases with its viscosity. The Greek letter mu () is frequently used to represent dynamic viscosity, which is quantified in units called pascal-seconds (Pas). It depends on temperature and pressure, and it may be influenced by things like the presence of suspended particles, dissolved gases, and fluid flow velocity. Pressure decreases may be calculated using dynamic viscosity.

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If the Sun's light suddenly went out, we would not notice it for at least 8 minutes from Earth. When we look at the Andromeda Galaxy, we are seeing it as it was millions of years ago. At the speed of light, communications between Earth and astronauts on the Moon would be significantly delayed.

A vacuum is a volume that is devoid of substance, often known as 'free space'. Only partial vacuums are achievable in practice. A vacuum is a space in which there is no matter or where the pressure is so low that any particles in the space have no effect on any activities that are taking place. It is a state that is far below normal atmospheric pressure and is measured in pressure units (the pascal). A vacuum is defined in science as a space devoid of substance or air. That's the simple definition, however there are always some particles of stuff in a vacuum, but far fewer than the air you're inhaling.

Here,

If the Sun's light were abruptly extinguished, we would not notice it for more than 8 minutes from Earth. When we look at the Andromeda Galaxy, we are gazing back in time to how it appeared millions of years ago. There would be a substantial delay in communications between Earth and astronauts on the Moon at the speed of light.

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Receive heat from a high-temperature source and reject heat to a low-temperature sink are the characteristics of all heat engines.

High-temperature sources are materials that can produce and sustain high temperatures. These sources can range from small, localized heating elements to large, complex nuclear reactors. Common high-temperature sources include fossil fuels, such as wood, coal, and oil, as well as nuclear and solar energy. High-temperature sources are used in a variety of applications, including power generation, heating and cooling, and manufacturing processes.

Heat engines transfer heat from a high-temperature source to a low-temperature sink, so they cannot reject heat to a high-temperature sink or receive heat from a low-temperature source.

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Pack B has twice the mass of pack A, and thus twice the kinetic energy, but has the same final velocity as pack A.

a. The ultimate kinetic energy of an object is given by the formula KE = 1/2 × m × v². where m is the object's mass and v is its velocity. Since both pucks are pulled at the same distance by a string of the same tension, the final kinetic energy of both pucks will be the same. However, pack B has twice the mass of pack A, so the final kinetic energy is twice that of pack A. The final velocity of the

b. Object is given by the equation v = √(2 × KE / m). Both packs have the same final kinetic energy, but pack B has twice the mass of pack A, so the final velocity is √(2 × KE / mB) = √(2 × KE / (2 × mA)) = √(KE / mA ), which is the square root of the terminal velocity of pack A.

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The question is -

Puck B has twice the mass of puck A. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension a. Compare the final kinetic energies of pucks A and B. b. Compare the final speeds of pucks A and B.

A recurrent offender is present at work when two crime scene profiles match. This DNA evidence may be used by the police to support other evidence and aid in a criminal prosecution.

Complete DNA profiles provide extremely reliable matches and can be used to prove a suspect's guilt or innocence in a criminal case. After being put into a gel and exposed to an electrical field, the DNA fragments are electrophoretically sorted into different bands. To make these bands visible to imaging methods, a radioactive dye can be used to color them.

DNA fingerprints are produced via gel electrophoresis using samples taken from crime scenes and suspects. A similarity between samples identifies the criminal suspect.

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When two crime scene profiles match, a repeat offender is present at work. The authorities may use this DNA proof to back up other evidence and build a criminal case.

A suspect's guilt or innocence in a criminal case can be established using whole DNA profiles, which offer incredibly reliable matches. The DNA fragments are electrophoretically separated into distinct bands after being placed in a gel and subjected to an electrical field. These bands can be coloured with a radioactive dye to make them apparent to imaging techniques.

Gel electrophoresis is used to create DNA fingerprints from samples obtained from crime scenes and suspects. The criminal suspect is identified by similarities between samples.

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If the car decelerates uniformly along the curved road from 25 m>s at a to 15 m>s at c. The acceleration of the car at b is 1.18m/s²

We are given the speed of the car at point A is Va= 25 m/s, and the speed of the car at point C is Vc= 15 m/s.

We have the distance between points A and B as dAB = 250 m

We have the distance between points A and B as dAC = 250 m + 50 m= 300m

We have the distance between points A and B as dBC = 50m

We have the radius of the track as βB = 300m

The formula to calculate the tangential acceleration of the car is,

                              (vc)² = (vA)² + 2at (dAC)

Substitute the values in the above expression.

                           (15 m/s)² = (25 m/s)² + 2at (300m)

                                      at = - 0.67 m/s²

The formula to calculate the velocity of the car at point B is,

                                    (vB)²=  (vA)² + 2at (dAB)

Substitute the values in the above expression.

                      (vB)²= (25 m/s)² + 2( - 0.67 m/s) (250m)

                                         vB = 17.03 m/s

The formula to calculate the normal acceleration of the car is,

                                  an = (vB)²÷β B

Substitute the values in the above expression.

                             an= (17.03m/s)² ÷ 300m

                             an = 0.97 m/s²

The formula to calculate the acceleration of the car is,

                               a=√ (at)² + (an)²

Substitute the values in the above expression.

                       a = √ (- 0.67 m/s)² + (0.97 m/s²)²

                                  a = 1.18 m/s²

Therefore, the answer is 1.18 m/s²

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The magnitude of the charge is 0.82 * 10-7 C, that can be calculated using the formula for the same.

Electric charge is available in types, which we pick to name high-quality charge and bad charge. This is the importance of the pressure which every fee exerts on the opposite fee (recollect Newton's third law).

Let the charge on each of them be "Q"

Now, electrostatic force of attraction on each of them = (1/4πε)(Q2/0.022)

Also, this force is being acted on each of the spheres, hence,

(1/4πε)(Q2/0.022)  = M*a

9 * 109 * Q2 * 104 / 4 = 10-3 * 150

Q = 0.82 * 10-7 C

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Using the formula for the charge, it can be determined that the charge has a magnitude of 0.92 x [tex]10^{-7}[/tex] C.

There are many kinds of electric charge, which we will refer to as good charge and poor charge. This highlights the significance of the pressure one fee puts on the opposite fee remember Newton's third law.

Let "Q" be the charge on each of them.

Currently, the electrostatic force of attraction between each of them is equal to (1/4)(Q2/0.022).

Additionally, each of the spheres is being affected by this force, so

(1/4πε)(Q2/0.022) = M*a

9 x 109 x Q2 x 104 / 4 = [tex]10^{-3}[/tex] x130

Q = 0.92 x [tex]10^{-7}[/tex] C

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Weathering is the process by which rocks break down in place to produce soils and sediments.

The breakdown or dissolving of rocks and minerals on the earth's surface is known as weathering. Carrier of weathering include water, ice, acids, plants, animals and variations in temperature.

Erosion is the movement of soil, rock, or dissolved material from one region of the earth's crust to another, where it is deposited. Weathering, which is a static process, is distinct from erosion.

Rocks break down by the process called weathering. The effect of weathering and erosion cannot be resisted by any rock on Earth due to its softness.

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The position vector at position D is shown by arrow 1, the change in position (displacement) between positions D and F is shown by arrow 2, and the average net force and change in velocity between positions D and F cannot be calculated.

Arrow 1 is a representation of the position vector for position D.

Arrow 2 illustrates the shift (position change) between positions D and F.

Arrow 3 illustrates the undeterminable velocity change between positions D and F.

Arrow 4 denotes the change in momentum from position D to position F. arrow 5 illustrates the indeterminable average net force between positions D and F. The vector's position is.

Arrow 6 displays position E.

Arrow 7 illustrates the positional shift between locations D and E.

Arrow 8 illustrates the difference in velocity between positions D and E.

Arrow 9 depicts the difference in momentum between positions D and E.

The indeterminable average net force between positions D and E is symbolized by arrow 10 and cannot be calculated.

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The question is -

Using the numbered direction arrows shown, indicate (by number) which direction arrow best represents the direction of the quantities listed below. If the quantity has zero magnitudes or cannot be determined, indicate using the corresponding number listed below. The position vector at location D _____ The change in position (the displacement) between location D and location F _____ The change in velocity between location D and location F _____ The change in momentum between location D and location F _____ The average net force between location D and location F _____ The position vector at location E _____ The change in position (the displacement) between location D and location E _____ The change in velocity between location D and location E _____ The change in momentum between location D and location E _____ The average net force between location D and location E.

To calculate electrical resistance for a resistor network first you have to check whether the resistors are in series or parallel connection and then apply the formula of resistance.

R= V/I where V is the potential difference across the conductor (in volts) and I is the current through the conductor (in amperes).

Electrical resistance is the property of an electrical conductor to oppose the flow of electric current. All materials have their own electrical resistance and is represented by R and its SI unit is ohm.

Resistance can be calculated using the Ohm's law. It is defined as the ratio of the applied voltage to the current.

To calculate the total resistance of a network in series connection,

Total resistance = R₁+ R₂+ R₃

To calculate the total resistance of a network in parallel connection,

Total  resistance = 1/R₁+ 1/R₂+ 1/R₃

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The structure that is on the ventral side of the heart, located more laterally within the axial region is axillary lymph nodes.

The axillary lymph nodes are lymph nodes located in the human armpit. They drain lymph vessels from the lateral quadrants of the breast, superficial lymph vessels from the thin walls of the chest and abdomen above the level of the navel, and upper limb vessels.

They are classified into several groups based on their location in the armpit. These lymph nodes are clinically significant in breast cancer, and metastasis from the breast to the axillary lymph nodes is taken into account in disease staging.

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The following situations use no torque. C=D, A,B,E,C,D.

Size is referred to as magnitude. A automobile is traveling more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. It reveals the direction or size, whether absolute or relative, in which an object moves.

The vector's length determines its magnitude. The symbol for the vector's magnitude is a. To learn more about a vector's magnitude, see to its introduction. Vector magnitude formulas for two dimensions.

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(1) The gravitational potential energy of the bowling ball is 7,056 J.

(2)The potential energy  and kinetic energy of the bowling ball are 2,205 J and 37.5 J respectively.

(3) The kinetic energy of the bowling ball is 450 J.

(4) The potential energy  and kinetic energy of the child re 367.5 J and 67.5 J respectively.

The gravitational potential energy of the bowling ball is calculated by applying the following formula;

P.E = mgh

where;

P.E = ( 6kg x 9.8 m/s² x 120 m )

P.E = 7,056 J

(2) The potential energy  and kinetic energy of the bowling ball is calculated as follows;

P.E =  (3 x 9.8 x 75 )

P.E = 2,205 J

K.E = ¹/₂ mv²

K.E = ¹/₂ ( 3 ) x (5²)

K.E = 37.5 J

(3) The kinetic energy of the bowling ball is calculated as follows;

K.E = ¹/₂ mv²

K.E = ¹/₂ ( 4 ) x (15²)

K.E = 450 J

(4) The potential energy  and kinetic energy of the child is calculated as follows;

P.E =  (15 x 9.8 x 2.5 )

P.E = 367.5 J

K.E = ¹/₂ mv²

K.E = ¹/₂ ( 15 ) x (3²)

K.E = 67.5 J

Learn more about potential energy here: https://brainly.com/question/1242059

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