water travels down a pipe with a circular cross-section at a velocity v1. this pipe is connected to another pipe with a square cross-section by a small fitting. if the square pipe has side length 2a, and the circular pipe has a radius of a, what is the velocity of the water in the circular pipe?

Answers

Answer 1

The hydraulic radius is the same for both pipes, the velocity of the water in the circular pipe must be the same as the velocity of the water in the square pipe, i.e., v1.

What is the water's speed?

The cross-sectional area of a pipe and its hydraulic radius, which is the ratio of the cross-sectional area to the wetted perimeter, determine the velocity of water flowing through it.

The equation v = s/t denotes the vector quantity velocity (v), which quantifies displacement (or change in location, s), over change in time (t).

Given that the cross-sectional area of the circular pipe is[tex]a^2[/tex] and the wetted perimeter is 2a the hydraulic radius is a.

The hydraulic radius is a for the square pipe because its cross-sectional area is[tex]2 a^ 2[/tex] and wetted perimeter is 4 a.

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Related Questions

determine the energy required to accelerate a 1091 kg car from 4 to 35 meters on an uphill road with a vertical rise of 104 m

Answers

The energy required to accelerate the car is 659509.5 J

It is given that

mass of car (m) = 1091 kg

Initial speed (u) = 4 m/s

Final speed (v) = 35 m/s

height of hill (h) = 104 m

It is given by

KE = 1/2 x m x (v^2 - u^2)

KE = 1/2 x 1091 kg x (35)^2 - (4)^2

KE = 659509.5 J

Hence, energy required to accelerate the car is 659509.5 J

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two loudspeakers, a and b , are driven by the same amplifier and emit sinusoidal waves in phase. the frequency of the waves emitted by each speaker is 686 hz . you are standing between the speakers, along the line connecting them and are at a point of constructive interference. for related problemsolving tips and strategies, you may want to view a video tutor solution of

Answers

From the midpoint we must move 1.34 m to any side and there is no sound.

The difference in the paths of the waves must equal either an integer number of half wavelengths for constructive interference or a semi-integer number for destructive interference for interference to occur since sound waves are longitudinal waves that can do so.

Δd = 2n  λ/2             constructive interference

Δd = (2n + ½) λ/2     destructive interference

Where n is an integer

Since the two distances are equivalent and the interference is always constructive at this point, there is no difference in the road.

Let's calculate the wavelength with the relationship

   v = λ f

   λ = v / f

λ = 344/641

λ = 0.537 m

We place the expression for the first destructive interference (no sound)

   n = 1

 Δd = (2 1 + ½) 0.537

Δd = 1.3425 m

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Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 641Hz . You are standing between the speakers, along the line connecting them and are at a point of constructive interference.

How far must you walk toward speaker B to move to reach the first point of destructive interference?

Take the speed of sound to be 344 .

If a firefighter dropped a person onto the safety net, and right before the person hit the net they had a velocity of 12m/s and 1800 J of kinetic energy, then what was the mass of the person?

Answers

If a firefighter dropped a person onto the safety net, and right before the person hit the net they had a velocity of 12m/s and 1800 J of kinetic energy, then 28.70 kg was the mass of the person.

What is kinetic energy?

Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is performed on it by exerting a net force. A moving object or particle has kinetic energy, which relies on both its mass and its rate of motion.

The type of motion might be vibration, rotation on an axis, translation (or travel along a path through one point to another), or any combinations of these.

E= mv²/2

m(11.2)²/2= 1800.

m(11.2)²= 3600

125.44m= 3600

m= 3600/125.44= 28.70 kg

Therefore,  28.70 kg was the mass of the person.

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Which spherical Gaussian surface
has the larger electric flux?
A. Surface A
B. Surface B
C. They have the same flux.
D. Not enough information to tell.

Answers

The above statement indicates that surface B has a greater electric flux.

What is the same as an electric flux?

The charge encapsulated divided more by permittivity is equal to the total electric flux from a closed surface. The electric field is multiplied by the surface area reflected in a plane parallel to the field to get the electric flux across a region.

Electric flux = charges / e₀

We may infer from the relationship above that the charge contained either by closed surface is precisely proportional to the electric flow. It is independent of the surface's radius. Surface B thus has more flux.

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in terms of g , what is the y-component of the ball's acceleration when its speed is half its terminal speed value and it is moving up?

Answers

The y-component of the ball's acceleration when its speed is half its terminal speed value and it is moving up is -g (gravity).

What is half terminal speed?

Half terminal speed refers to the speed of a falling object when it is half of its terminal speed. Terminal speed is the maximum speed that a freely falling object reaches as it falls through a fluid or gas, such as air, due to the drag force acting on the object. The drag force opposes the motion of the object and slows it down until it reaches its terminal speed.

Half terminal speed occurs when the object has fallen far enough that it has reached half of its terminal speed value. The exact value of the half terminal speed will depend on the object's mass, cross-sectional area, drag coefficient, and the density of the fluid or gas through which it is falling.

Calculation of y-component of theacceleration while half its terminal speed value:

The y-component of the acceleration of a ball moving upward can be determined using the equation of motion, which states that the acceleration of an object is equal to the net force acting on the object divided by its mass.

The net force acting on the ball when its speed is half its terminal speed value can be represented as:

[tex]F_net = m * g - C * (V_t / 2)^2[/tex]

where C is a constant of proportionality that depends on the drag coefficient and the cross-sectional area of the ball. The negative sign indicates that the drag force acts upward, in the opposite direction to gravity.

Therefore, the y-component of the acceleration of the ball when its speed is half its terminal speed value and it is moving up is:

[tex]a_y = F_net / m = (m * g - C * (V_t / 2)^2) / m = g - (C * (V_t / 2)^2) / m.[/tex]

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consider a copper rod that is 3.14 meters long, 2 cm in diameter, and has an electrical resistivity of 2x10-4 ohm-cm. what is the electrical resistance of the rod?

Answers

The electrical resistance of a copper rod can be calculated using the formula:

R = ρ * L / A

Where:

R is the resistance

ρ is the electrical resistivity of the material (2 x 10^-4 ohm-cm)

L is the length of the rod (3.14 m)

A is the cross-sectional area of the rod (pi * r^2, where r is the radius)

First, we need to convert the diameter to the radius (r = d / 2):

r = 2 cm / 2 = 1 cm

Next, we convert the radius to meters:

r = 1 cm * 0.01 m/cm = 0.01 m

Now we can find the cross-sectional area:

A = pi * r^2 = pi * 0.01^2 = 0.0001 * pi = 0.000157 m^2

Finally, we can find the resistance:

R = ρ * L / A = (2 x 10^-4 ohm-cm) * (3.14 m) / (0.000157 m^2) = 0.4374 ohms

The electrical resistance of the copper rod is 0.4374 ohms.

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a fashion designer decides to bring out a new line of clothing that reflects the longest wavelength of visible light. what color will these articles of clothing be to the human eye? a. black b. violet c. red d. blue e. yellow-green

Answers

The longest visible light wavelength is chosen by a fashion designer to reflect in a new line of apparel. So, It will be red to the human eye.

Only a portion of the electromagnetic spectrum can be seen by the human eye. The "visible spectrum" is the area of the electromagnetic spectrum that we can see. The wavelength of light varies with each color.

Violet, Indigo, Blue, Green, Yellow, Orange, and Red are the visible colors, going from shortest to longest wavelength.

Higher frequency corresponds to higher energy. Red light is less frequent since it has lower frequency and less energy than other visible lights. Since the relationship between frequency and wavelength is inverse, red light has the longest wavelength.

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suppose a small child rolls off a bed that is 0.57 m above the floor. if the floor is hardwood, the child's head is brought to rest in approximately 2.1 mm. if the floor is carpeted, this stopping distance is increased to about 1.4 cm. calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury.

Answers

To calculate the magnitude and duration of the deceleration, we need to know the initial velocity of the child and the stopping distance. The initial velocity of a freely falling object can be calculated using the equation:

v = sqrt(2gh), where g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

In this case, h = 0.57 m, so the initial velocity can be calculated as follows:

v = sqrt(2 * 9.8 * 0.57)

v = 2.38 m/s

Now we have the initial velocity, we can calculate the magnitude and duration of the deceleration in both cases.

Case 1: Hardwood floor

The stopping distance can be calculated using the equation:

d = v^2 / (2a), where v is the initial velocity and a is the deceleration.

Setting the stopping distance equal to 2.1 mm and solving for a, we get:

a = v^2 / (2d)

a = (2.38 m/s)^2 / (2 * 0.0021 m)

a = 68 m/s^2

The duration of the deceleration can be calculated as follows:

t = v / a

t = 2.38 m/s / 68 m/s^2

t = 0.0349 s

Magnitude of the deceleration: 68 m/s^2

Duration of the deceleration: 0.0349 s

Case 2: Carpeted floor

The stopping distance can be calculated using the equation:

d = v^2 / (2a), where v is the initial velocity and a is the deceleration.

Setting the stopping distance equal to 1.4 cm and solving for a, we get:

a = v^2 / (2d)

a = (2.38 m/s)^2 / (2 * 0.014 m)

a = 12 m/s^2

The duration of the deceleration can be calculated as follows:

t = v / a

t = 2.38 m/s / 12 m/s^2

t = 0.198 s

Magnitude of the deceleration: 12 m/s^2

Duration of the deceleration: 0.198 s

The magnitude of the deceleration in the first case (hardwood floor) is much greater than in the second case (carpeted floor), indicating a higher risk of injury for the child in the first case. However, the duration of the deceleration is much shorter in the first case, which might result in a less severe injury. The duration of the deceleration is also much longer in the second case, indicating a lower risk of injury.

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static electricity can produce electrostatic discharge sufficient to detonate an explosive. identify a source of static electricity. select one: a. exhaust fumes from an operating piece of equipment b. a static discharge emanating from improperly grounded equipment c. microwaves emanating from an operating microwave oven d. a static discharge from an electrical panel

Answers

Static electricity produce electrostatic discharge sufficient to detonate explosive. identify a source of static electricity: d. static discharge from an electrical panel.

What do you understand by static electricity?

An imbalance of electric charges within or on the surface of a material or between materials is called static electricity. Charge remains until it is able to move away by the means of electric current or electrical discharge.

When two objects made up of different materials come in contact with each other, electrons can transfer between them. The more prolonged contact, more electrons move hence creating an imbalance of charges.

Static buildup consists of three major types: Contact Static Buildup, Frictional Static Buildup. and Detachment Static Buildup.

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A wooden block of 16N is placed on a rough surface. If the coefficient of friction between both surface is 0.25,the least horizontal force required to move the block is?

Answers

The least horizontal force required to move the block is 4.0 N.

What is static  friction?

A force that holds an object at rest is called static friction.

The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

Weight of the block = 16 N

The coefficient of friction between both surface is 0.25,

Hence, the least horizontal force required to move the block is = frictional resistance force

= 0.25 × 16 N

= 4 N.

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you have two flat metal plates, each of area 1.00 m2 , with which to construct a parallel-plate capacitor. (a) if the capac- itance of the device is to be 1.00 f, what must be the separation between the plates? (b) could this capacitor actually be constructed?

Answers

The distance between the flat plates in the capacitor which has a capacitance of 1F is 8.85 x 10⁻¹² m

The distance between the two flat metal plates is very small. Thus, the capacitor cannot be constructed.

The area of the two flat plates = 1 m²

The capacitance of the device = 1 F

The distance between the plates in the capacitor can be found using the formula,

           C = Aε₀ / d

where C is the capacitance of the capacitor

           A is the area of the plates

           ε₀ is the permittivity of free space

           d is the distance between the plates in the capacitor.

Let us rearrange the equation,

            d = Aε₀ / C

Let us substitute the known values in the above equation, we get

            d = 1 x 8.85 x 10⁻¹² / 1

               =  8.85 x 10⁻¹² m

As the distance between the plates is very small, the charge cannot be stored between the plates in the capacitor.

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he lowest frequency in the audible range is 20 hz. for the steps and strategies involved in solving a similar problem, you may view a video tutor solution. part a what is the length of the shortest open-open tube needed to produce this frequency? express your answer in meters.

Answers

The shortest open-open tube needed to produce a 20 Hz frequency is 8.5 meters.

The meaning of frequency

In physics, the frequency is the number of waves that pass a specific place in a unit of time. It also shows how many vibrations or cycles a body in periodic motion goes through in a certain amount of time.

The following equation can be used to determine the length of an open-open tube that generates a specific frequency:

[tex]L = \frac{c }{(2 \times f)}[/tex]

where L is the tube's length, c is sound in the air's speed (about 340 m/s), and f is the sound's frequency.

Inputting the values provided yields:

[tex]L =\frac{ 340}{ (2 \times 20)}[/tex]

L = 340 / 40 = 8.5 m.

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What is the maximum height a flea jumps straight up to?

Answers

Answer: 20cm

Explanation:

a flea jumps straight up to a maximum height of 0.350 mm . what is its initial velocity v0v0v 0 as it leaves the ground?

Answers

The initial velocity of the flea when it leaves the ground is roughly 0.083 m/s.

What is velocity?

The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. The velocity of an object is the rate at which its location changes in relation to a frame of reference and is a function of time. Velocity is similar to a speed and direction of motion specification (e.g., 60 km/hr to the north).

Here,

To calculate the initial velocity of the flea as it leaves the ground, we need to use the equation of motion for vertical motion:

v₀ = √(2gh)

where:

v₀ is the initial velocity

g is acceleration due to gravity (approximately 9.8 m/s²)

h is the maximum height (0.350 mm, or 0.00035 m)

So, the initial velocity would be:

v₀ = √(2 * 9.8 * 0.00035) = √(0.00693) = 0.083 m/s

The flea's initial velocity as it leaves the ground is approximately 0.083 m/s.

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1.how much force must be applied by a soccer player to give a stationary 0.45 kg ball an acceleration of 20m/s2 and why?

Answers

To achieve an acceleration of 20 m/s², a force of 9 N must be applied to the ball. This is due to Newton's second law, which states that force applied to an object equals mass multiplied by acceleration.

What is force?

A force is an effect in physics that may modify the velocity of an item. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force may be characterized as a push or a pull. A force is a vector quantity since it has both magnitude and direction. A mass object's velocity changes when it is pushed or pulled. Force is an external agent that may change the condition of rest or motion of a body. It has a magnitude as well as a direction.

Here,

The force required to accelerate a 0.45 kg ball at 20 m/s^2 can be calculated using Newton's second law of motion:

F = m * a

where F is the force, m is the mass of the ball (0.45 kg), and a is the acceleration (20 m/s²).

F = 0.45 kg * 20 m/s² = 9 N

So, a force of 9 N must be applied to the ball to give it an acceleration of 20 m/s². This is because Newton's second law states that the force applied to an object is equal to its mass multiplied by its acceleration.

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a system underwent a change in state and did 37 j of work on the surroundings. the change in energy of the system was -471 j. calculate the heat for this process

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the heat for system undergoing change is -434 J.

During a thermodynamic process, a system's heat exchange with its surrounds is equal to the system's change in internal energy plus the work the system has done on its surroundings. This connection can be stated as follows:

Q = ΔU + W

where Q represents the heat transferred, U represents the change in internal energy, and W represents the work the system does on its surroundings.

Given that the system's energy changed by -471 J and it exerted 37 J of work on its surroundings, we can compute the heat exchanged as follows:

Q = ΔU + W

Q = -471 J + 37 J

Q = -434 J

The heat for this process was -434 J as a result.

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what are two common primary structures of proteins are alpha helices and beta sheets.

Answers

Beta-pleated sheets and alpha-helices are the most typical structures that are created. Hydrogen bonds that develop along protein backbone bind the two of them together.

What are the 4 types of proteins?

Protein structure is divided into four levels: primary, second, tertiary, and quaternary. To completely comprehend how a protein functions, it is useful to comprehend the nature and purpose of each level of a protein's structure. Through Tracy Kovach.

Is DNA a type of protein?

DNA isn't a protein, though. DNA encrypts data required to produce proteins, which is the main connection between DNA and proteins. DNA, however, isn't a protein. Long strands of nucleotides make up DNA.

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what physical property denotes the color of a powdered mineral?

Answers

Streak is a material property that characterizes particular mineral's coloration.

What are minerals, for instance?

The mineral is an ingredient or chemical component that has emerged as a result of natural formations and is often crystalline in nature. Examples include the minerals quartz, feldspar, calcite, sulfur, and clays like kaolinite and smectite.

What does a mineral do in daily life?

Minerals are necessary building blocks for our daily lives and are fundamental to the advancement of economic, social, and technological systems. For instance, consider the following: Agriculture: Additional mineral products are also utilized to improve soil, including phosphate rock, potash, and lime.

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ignoring air resistance, should he direct his thrown upward and toward the front of the car (throw 1), straight outward (throw 2), or outward and toward the back of the car (throw 3)?

Answers

To determine the best throw for a ball that will land on the roof of a moving car, ignoring air resistance, we need to consider the relative velocities of the ball and the car.

In throw 1, the ball is thrown upward and toward the front of the car. The ball will have a vertical component of velocity that will cause it to move higher, but the horizontal component of velocity will be in the direction of the motion of the car. This will make it more difficult for the ball to land on the roof of the moving car.

In throw 2, the ball is thrown straight outward. The horizontal component of velocity will be perpendicular to the direction of motion of the car, making it easier for the ball to land on the roof. However, the ball will not have a vertical component of velocity to compensate for the height of the car, which may make it more difficult to reach the roof.

In throw 3, the ball is thrown outward and toward the back of the car. The horizontal component of velocity will be in the opposite direction of the motion of the car, which will make it easier for the ball to land on the roof. However, like throw 1, the vertical component of velocity will be in the opposite direction of the roof, which may make it more difficult to reach the roof.

In general, it is likely that throw 2, a straight outward throw, will be the best option for landing the ball on the roof of the moving car, as it combines a horizontal component of velocity perpendicular to the direction of the car's motion with a lack of a vertical component of velocity that could work against the goal of landing on the roof. However, the exact results will depend on the specific speeds and distances involved.

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Why do we have to start with the lowest magnification?

Answers

In order to make it simpler to align the slide and lens, the lowest magnification is chosen.

Magnification of a Microscope:

A microscope's ability to produce a picture of an object at a scale that is larger (or even smaller) than its real size is known as magnification. Only when it is feasible to observe more details of an object in the image than when observing the object with the unaided eye can magnification serve a beneficial purpose.

Now for the given question,

We use lowest magnification because using the lowest magnification means that the specimen is far enough away from the lens in comparison to the higher magnification lenses, offering the widest field of visible range. Starting with the lowest magnification, makes it simpler to find, center, and focus in on the specimen. It is also simpler to use the fine focus knob on the side of the microscope to focus on the specimen once it is visible at this magnification.

Additionally, the stage can be raised higher to bring the sample up closer to the eye piece by using the lowest magnification and thus shorter lens. A steady increase in magnification might offer a clearer view and a closer look at the specimen once it is in view.

The specimen needs to be carefully recentered and refocused when the magnification is increased. The challenge of utilizing these lenses is needing to "hunt" or reposition the specimen in the proper line of sight because the field of vision gets smaller and smaller with each increase.

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an asteroid has an average distance from the sun of 3 au. about how long does it take to orbit once around the sun?

Answers

Answer:

5 yearssssssssssssssss

What is it called when two or more bodies orbit at multiples of the same orbital period?

Answers

Orbital resonance,called when two or more bodies orbit at multiples of the same orbital period.

In celestial mechanics, an orbital resonance is when two orbiting bodies exert a regular, periodic gravitational impact on one another. This frequently occurs as a result of the two bodies' orbital periods being related by a ratio of two tiny integers.The gravitational influence of the bodies is significantly strengthened by orbital resonances. The majority of the time, this causes an unstable interaction in which the bodies trade momentum and modify their orbits until the resonance vanishes. A resonant system may occasionally be robust and self-correcting, allowing the bodies to stay in resonance. Examples include the 2:3 resonance between Pluto and Neptune and the 1:2:4 resonance of the Jupiter's moons Ganymede, Europa, and Io. Gaps in Saturn's rings are caused by unstable resonances with its inner moons.

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Compared to red light, blue light has higher frequency and:_________

Answers

Blue light has a greater frequency and carries more energy than red light when compared.

Electromagnetic frequencies that can be seen by human eyes make up visible light. This spectrum excludes ultraviolet and infrared radiation. The wavelengths and frequencies that an object reflects determine the colours we see. Both waves and particles of light exist. It has wave characteristics like amplitude, period, wavelength, and frequency.

The number of times a wave completes a cycle each second is known as its frequency. Hertz, or cycles per second, is the unit of measurement (Hz).

There is more energy in the light the higher the frequency. As a result, its wavelength shrinks.

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what is an example of low-quality energy? group of answer choices heat in the ocean nuclear fission food electricity gasoline

Answers

An example of low-quality energy heats in the ocean.

Low-quality energy is energy that has a low density and requires a lot of effort to convert into a usable form. This type of energy is not easily accessible and requires significant energy input to harness its potential. An example of low-quality energy heats in the ocean.

Unlike fossil fuels such as gasoline, which have a high energy density and can be easily converted into usable energy, heat in the ocean is dispersed and difficult to harness. Extracting usable energy from ocean heat requires significant energy input and technology, making it a low-quality form of energy.

In contrast, high-quality energy sources such as fossil fuels, nuclear fission, and electricity have a high energy density and are relatively easy to harness and convert into a usable form.

Complete question:

What is an example of low-quality energy?

a. food

b. heat in the ocean.

c. gasoline

d. nuclear fission

e. electricity

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g an airplane flies due north at 150 km/hr relative to the air. there is a wind blowing at 75 km/hr to the east relative to the ground. what is the plane's speed relative to the ground?

Answers

The plane's (flies due north at 150 km/hr relative to the air. there is a wind blowing at 75 km/hr to the east relative to the grounds) speed relative to the ground = 170 km/hr

A quantity or phenomenon with independent properties for both magnitude and direction is called a vector. To determine the plane's speed, we can use the vector equation.

v = (v₁² + v₂²)[tex]^{1/2}[/tex]

Where,

v = The velocity (m/s)

v₁ = The velocity (to north)

v₂ = The velocity (to east)

Hence,

v = {(150 km/hr)² + (75 km/hr)²}[tex]^{1/2}[/tex]

= 170 km/hr

So, the plane's speed relative to the ground = 170 km/hr

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two parallel plates, separated by 0.20 m, are connected to a 12-v battery. an electron released from rest at a location 0.10 m from the negative plate. when the electron arrives at a distance 0.050 m from the positive plate, how much kinetic energy does the electron gain?

Answers

The kinetic energy that the electron gain is calculated to be as : 3J

What is meant by kinetic energy?

Kinetic energy of an object is the energy that it possesses due to its motion and is defined as the work needed to accelerate body of a given mass from rest to its stated velocity

As, V = Ed

where V is electric potential energy, E is electric field and d is distance moved by the electron.

The electric field is :

E = V / d

V1/d1= V2/d2

d2= 0.2 - 0.15= 0.05m

V2 = V1d2/d1 = 60 N/C * 0.20 m = 3 J

ΔK = ΔV = 3 J

So, the electron gains 3 J of kinetic energy.

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a point charge 2q is located a short distance from a point charge 4q, and no other charges are present. if the electrical force on 2q is f, what is the electrical force on 4q?

Answers

A force around q is equivalent to the pressure on 4q in magnitude but acts in the opposite direction. As a result, since the force on q is F, the force upon 4q is -F.

Do electrical forces exist?

Energy is the capacity to exert force on an object in order to move it. Electrical energy is produced by the motion of electric charges. The electric attractions and repel between charged particles serves as the force in the case of electric energy.

Is voltage a force of electricity?

The electrical force known as voltage is what moves free electrons between atoms. Electrical current must be forced to flow in the same way that water is forced through a conduit. The unit of "electric pressure" that induces current flow is "volts."

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what force would a proton experience in the same field?

Answers

The supplied assertion states that a proton experience would be forced in the same field at -2.24 i^ pN

How do protons and electrons differ?

The main distinction is that whereas as proton is a charged particles particle found inside the atom's nucleus, a particle is a highly reactive particle that orbiting the nucleus. Two up neutrons and one drop quark are found in protons. One up atom and five down quarks make up neutrons. The "strong nuclear force," one of the four basic forces, holds the nucleus together (gravity and electromagnetism are two others).

Charge q = -1*10⁻⁶C

Electrostatic force F = 14 i^ N

The electric field is

       E = F/q

          = (14 i^ N) / (-1*10⁻⁶ C)

          = -14*10⁶ i^ N/C

The force on a proton is:

   F = qpE

      = (1.6*10⁻¹⁹ C)(-14*10⁶ i^ N/C)

      = -22.4*10⁻¹³ i^ N

      = -2.24*10⁻¹² i^ N

      = -2.24 i^ pN

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The complete question is-

1.0 µC charge experiences a 14 i N electric force in a certain electric field. What force would a proton experience in the same field?

Two objects with equal masses are in motion. which object will have more kinetic energy?

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When two objects have the same momentum, the less massive one will move more quickly and, as a result, have more kinetic energy.

When two objects of equal mass are in motion, the thing moving faster will have more kinetic energy. The kinetic energy of an item in motion is inversely proportional to both its mass and the square of its velocity. As a result, an object with the same mass and speed will have twice as much kinetic energy as an object with the same mass and speed but double the speed will have four times as much kinetic energy. Therefore, a body with a light mass has higher kinetic energy due to its lower mass. The kinetic energy is greater.

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a 30-meter long rope hangs freely from a ledge. the rope has a density of 5 kg/m. how much work is done if the top 1/3 of the rope is pulled up to the ledge? use g for the acceleration due to gravity.

Answers

If a 30-meter long rope hangs freely from a ledge then the work done if the top 1/3 of the rope is pulled up to the ledge is  4900 Joules.

To solve this problem, we need to first find the mass of the rope. We know that the density of the rope is 5 kg/m, and the length of the rope is 30 meters. Therefore, the total mass of the rope is:

mass = density * length

mass = 5 kg/m * 30 m

mass = 150 kg

Next, we need to find the mass of the top 1/3 of the rope that is pulled up to the ledge. We can do this by multiplying the total mass of the rope by the fraction of the rope that is pulled up, which is 1/3:

mass_pulled = (1/3) * mass

mass_pulled = (1/3) * 150 kg

mass_pulled = 50 kg

Now that we know the mass of the part of the rope that is pulled up, we can find the change in potential energy of the rope when it is lifted to the ledge. The change in potential energy is given by:

ΔPE = mgh

where m is the mass of the object, g is the acceleration due to gravity, and h is the change in height. In this case, the change in height is equal to 1/3 of the length of the rope, or 10 meters.

ΔPE = mass_pulled * g * h

ΔPE = 50 kg * 9.8 m/s^2 * 10 m

ΔPE = 4900 J

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