Fill in the Blanks Type your answers in all of the blanks and submit ⋆⋆ A typical supertanker has a mass of 2.0×10 6
kg and carries oil of mass 4.0×10 6
kg. When empty, 9.0 m of the tanker is submerged in water. What is the minimum water depth needed for it to float when full of oil? Assume the sides of the supertanker are vertical and its bottom is flat. m

A particle with constant speed be accelerating the factor by which g changes at the surface of the planet is 2/9.

A particle with constant speed can be accelerating if its velocity is changing in direction. Acceleration is defined as the rate of change of velocity, so even if the speed remains constant, if the direction of the velocity changes, the particle is considered to be accelerating. This is because acceleration is a vector quantity that takes into account both magnitude and direction.

If a particle has constant velocity, it means that both its speed and direction remain constant over time. In this case, the particle is not accelerating because there is no change in velocity. Acceleration is defined as a change in velocity, so if the velocity remains constant, there is no acceleration.

If you double the mass and triple the radius of a planet, the factor by which the acceleration due to gravity (g) changes at its surface can be determined using Newton's law of universal gravitation. The law states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Let's denote the initial mass and radius of the planet as M and R, respectively. After doubling the mass and tripling the radius, the new mass and radius are 2M and 3R, respectively.

The acceleration due to gravity at the surface of the planet can be calculated using the formula:

g = (G * M) / R^2

where G is the gravitational constant.

The new acceleration due to gravity, g', can be calculated using the new mass and radius:

g' = (G * 2M) / (3R)^2

To find the factor by which g changes, we can divide g' by g:

(g' / g) = [(G * 2M) / (3R)^2] / [(G * M) / R^2]

(g' / g) = [(2M) / (3R)^2] * [(R^2) / M]

(g' / g) = (2M / 9R^2) * R^2 / M

(g' / g) = 2 / 9

Therefore, the factor by which g changes at the surface of the planet is 2/9.

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565.2 lbs pressure can apply to a plunger.

It is given that,

The air supplied to a diaphragm is 20 psig.

Diameter is 6

Then r=3

We know that,

Area=

πr²

=(3.14×3²)

= 28.26

The formula is (3.14 ×radius of diaphragm squared) ×psig.

=( 28.26 ×20)

= 565.2 lbs of pressure.

Hence, the pressure is  565.2 lbs.

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(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

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Answer:

Missing Details, Most Are Approximations,Simplicity

Explanation:

I just had this question

When two different voltage sources are connected in parallel, their voltages are forced to be the same due to the nature of parallel connections. However, the behavior of the sources can lead to various outcomes depending on their characteristics.

If the voltage sources have significantly different voltage levels, a large current will flow between them as they attempt to equalize their voltages. This can result in excessive current and potential damage to the sources, or it may trigger safety mechanisms like fuses or circuit breakers.

In the case of ideal voltage sources with identical voltage levels, they can share the load evenly. The resulting total voltage will be equal to the individual source voltages, and the combined sources will have a higher current capacity.

If the sources have different internal resistances or output impedances, their interaction can cause an unequal distribution of load. The source with lower internal resistance will deliver more current while the other source supplies less. This can lead to inefficiency or instability in the circuit.

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Answer:

v_kyle = 0.5 m/s

v_jennies = 0.333 m/s

Kyle's Rabbit was the fastest

Explanation:

For the velocity of Kyle's Rabbit:

d = distance covered = 40 m

t = time taken = (1 min)(60s/1 min) + 20 s = 80 s

\(v_{kyle} = \frac{d}{t} = \frac{40\ m}{80\ s}\)

v_kyle = 0.5 m/s

For the velocity of Jennies Rabbit:

d = distance covered = 30 m

t = time taken = (1 min)(60s/1 min) + 30 s = 90 s

\(v_{jennies} = \frac{d}{t} = \frac{30\ m}{90\ s}\)

v_jennies = 0.333 m/s

It is clear from the results that:

Kyle's Rabbit was the fastest

Due to their greater efficiency and the lower cost of power, charging an electric car is more affordable than purchasing gasoline or diesel for your travel needs. The use of electric vehicles can be more environmentally benign when powered by renewable energy sources.

advantages of hybrid cars

In comparison to conventional vehicles, the results suggest that hybrid electric vehicles can reduce fuel consumption and emissions by up to 60% at low to medium average speeds, but only by 10% at high average speeds.

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Answer:

Explanation:

The big bang theory explained that the universe started as a single entity which was created by massive explosion and it create most of the matter i.e galaxies were moving away from the universe in all directions with great speed which then cause massive explosion and bring about cosmos creation.

Hello!!

For this, use the formula:

\(\boxed{I=V/R}\)

\(\textbf{Being:}\)

\(\sqrt{}\) \(I = Current = ?\)

\(\sqrt{}\) \(V = Voltage = 160 \ V\)

\(\sqrt{}\) \(R = Resistance = 10\ \varOmega\)

\(\textbf{If we replace and resolve it}\)

\(I = 160\ V / 10\ \varOmega\)

\(I = 16\ A\)

\(\text{The current of that circuit is \textbf{16 Amperes}}\)

The Speed of water flowing by 2.76 diameter is 0.1634m/s.

Given -

Diameter= 2.76cm

Amount = 20l

time= 1.15 min

The flow of water is continuous and remains unaffected with distribution of mass.

To compute the speed of the water leaving the end of the hose-

V= 2.76 + 1= 3.76cm

For 20 l equivalent length is 3.76cm

For 1 l equivalent length(x) = 3.76/20

x= 0.188

\(Speed = distance /time\)

= 0.188/1.15

=0.1634m/s

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Needed approximately 97 turns in the copper wire to create a current loop that generates a 0.500 mT magnetic field at the center when the current is 0.500 A.

To create a current loop using the entire length of a copper wire, we need to determine the number of turns required (n).

The formula to calculate the magnetic field at the center of a current loop is given by:

B = (μ₀ * n * I) / (2 * R)

where B is the magnetic field, μ₀ is the permeability of free space (4π × \(10^{(-7)\) T·m/A), n is the number of turns, I is the current, and R is the radius of the loop.

Given:

Length of the copper wire (L) = 1.50 m

Magnetic field (B) = 0.500 mT = 0.500 × \(10^{(-3)\) T

Current (I) = 0.500 A

The radius of the loop can be calculated using the formula:

R = L / (2π * n)

Substituting the values into the formula:

0.500 × \(10^{(-3)\) T = (4π × \(10^{(-7)\) T·m/A) * n * 0.500 A / (2 * R)

Simplifying:

0.500 × \(10^{(-3)\) T = (2π × \(10^{(-7)\)T·m/A) * n / R

Rearranging the equation:

n = (0.500 × \(10^{(-3)\) T) * R / (2π × \(10^{(-7)\) T·m/A)

Substituting R = L / (2π * n) into the equation:

n = (0.500 × \(10^{(-3)\) T) * L / (2π × \(10^{(-7)\) T·m/A) / (2π * n)

Simplifying further:

n² = (0.500 × \(10^{(-3)\) T) * L / (2π × \(10^{(-7)\) T·m/A)

Finally, solving for n:

\(n = \sqrt{[(0.500 * 10^{(-3)} T) * L / (2\pi * 10^{(-7)} Tm/A)]\)

Substituting the given values:

n = \(\sqrt{[(0.500 * 10^{(-3)} T) * (1.50 m) / (2\pi × 10^{(-7)} Tm/A)]\)

Calculating the result:

n ≈ 96.83

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According to the data given in the question the net force on the box is of 5 N.

All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.

Given data :

Force on box to the left side (F1) = 15 N

Force on box to the right side (F2) = 20 N

Because both forces are in opposite direction

Hence,

Net force = F2 - F1

Net force = 20 - 15

Net force = 5 N.

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This question involves the concepts of tension force and centripetal force.

The tension force in the rope is "3.4 N".

In this scenario, the centripetal force shall be acting as the tension force of the rope. Because in order for the puck to move in a circular path, the tension force in the rope must be equal to the centripetal force.

\(Tension\ Force = Centripetal\ Force\\F = \frac{mv^2}{r}\)

where,

F = tension force = ?

m = mass of puck = 170 g = 0.17 kg

r = radius of path = length of rope = 65 cm = 0.65 m

v = linear speed of puck = r(angular speed) = (0.65 m)(53 rpm)\((\frac{2\pi\ rad}{1\ rev})(\frac{1\ min}{60\ s})\)

v = 3.61 m/s

Therefore,

\(F = \frac{(0.17\ kg)(3.61\ m/s)^2}{0.65\ m}\)

F = 3.4 N

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The attached picture shows the centripetal force.

Answer:

The ocean plate will sink because it is much more dense than the continental plate.

Let me know if this helps!

Answer:

i think u already have ur answer

Explanation:

The answer is (b). According to Expectancy Violation Theory, all of the following characteristics influence your expectations and reactions to the nonverbal behavior of others except the readiness, willingness, and ability of communicators to listen to understand, interpret, and evaluate a message.

Expectancy Violation Theory (EVT) is a theory of communication that analyzes how individuals respond to unanticipated violations of social norms and expectations.

EVT suggests that people have expectations about how others will behave in certain situations, and when those expectations are violated, it can lead to a variety of reactions, including surprise, attraction, or repulsion.

The characteristics that influence your expectations and reactions to the nonverbal behavior of others include:

Similarities and differences in the age, gender, ethnicity, and physical appearance of communicators.

Similarities and differences in the personality and reputation of communicators.

The level of familiarity, past experiences, status, and type of relationship with other communicators.

The physical, social, psychological, cultural, and professional settings and occasions in which communication occurs.

The readiness, willingness, and ability of communicators to listen to understand, interpret, and evaluate a message is not a characteristic that influences your expectations and reactions to the nonverbal behavior of others.

This is because EVT is a theory of communication that focuses on how people respond to the nonverbal behavior of others, not on how people process information.

However, it is important to note that the readiness, willingness, and ability of communicators to listen to understand, interpret, and evaluate a message can influence how effective communication is.

For example, if a communicator is not listening carefully, they may not be able to understand the nonverbal cues that are being sent by the other communicator. This can lead to misunderstandings and conflict.

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Energy refers to the ability or capacity to do work. Energy can be of various types as follows:

Kinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.

The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.

Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.

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If a geothermal power plant produces 6000 watts of power for every 13000 watts of heat from water, so its efficiency is 46%.

Efficiency is defined as the proportion of energy which is wasted during a process. The rate at which energy is wasted needs to be reduced and there are a many ways to save energy, such as thermal energy. The formula of efficiency is equals to useful power out divided by total power in. Mathematically it is written as

Efficiency = useful power out ÷ total power in

Some amount of energy is always wasted from every machine, the efficiency should always be less than 1 or less than 100%. No machine is 100 percent efficient.

So we can conclude that if a geothermal power plant produces 6000 watts of power for every 13000 watts of heat from water, so its efficiency is 46%.

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Sirens produce sounds that have different frequencies and pitches, then the correct order of siren from lowest pitch to highest pitch would be B, C, A then D, therefore the correct answer is option B.

It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.

As given in the problem Siren A: 8,000 peaks in 2 seconds Siren B: 11,000 peaks in 5 seconds Siren C: 9,000 peaks in 3 seconds Siren D: 5,000 peaks in 1 second,

The more peaks per second would represent the higher pitch of the wave.

Since sirens make noises with a range of frequencies and pitches, choice B is the correct response since B, C, A, and D would be the correct order of sirens from the lowest pitch to the highest pitch.

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Answer:

resultant displacement = 20√1o6 km = 205912.6 m in the direction of western north.

Explanation:

assume that the ship started moving from A to B (north at 50km/hr for 2 hours) so the covered distance will be: 50*2 = 100 km

then it moves from B to C so the covered distance will be: 3*60 = 180 km

using Pythagoras, we get the resultant displacement = 20√1o6 km = 205912.6 m in the direction of western north.

The  index of refraction of the unknown substance is approximately 2.22.

The index of refraction of the unknown substance can be found using Snell's law, which relates the angle of incidence, angle of refraction, and indices of refraction of two media:

n₁sinθ₁ = n₂sinθ₂

where n₁ is the index of refraction of the first medium (1.33 in this case), θ₁ is the angle of incidence (13.0°), n₂ is the index of refraction of the unknown substance (what we want to find), and θ₂ is the angle of refraction (78.0°).

Rearranging the equation to solve for n₂, we get:

n₂ = n₁(sinθ₁/sinθ₂)

Plugging in the given values, we get:

n₂ = 1.33(sin13.0°/sin78.0°)

n₂ ≈ 2.22

Therefore, the index of refraction of the unknown substance is approximately 2.22.

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The clearest example of a neuronal membrane's selective permeability is an option (b) - K+ ions can diffuse across the membrane more easily than Na+ ions. This is because the membrane is more permeable to K+ ions than to Na+ ions.

This is due to the presence of potassium ion channels, which allow K+ ions to easily cross the membrane. On the other hand, the presence of sodium ion channels is limited, which makes it more difficult for Na+ ions to cross the membrane.

The selective permeability of the neuronal membrane is crucial for maintaining the proper functioning of the nervous system. It allows for the regulation of ion concentrations inside and outside the cell, which is essential for generating and transmitting electrical signals. This selective permeability is achieved through the presence of ion channels and transporters that selectively allow certain ions to pass through the membrane.

In summary, the clearest example of a neuronal membrane's selective permeability is the fact that K+ ions can diffuse across the membrane more easily than Na+ ions, due to the presence of potassium ion channels and the limited presence of sodium ion channels. Hence, b is the correct option.

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Answer:

An open umbrella would not hit the ground before the closed one.   Explanation: The closed umbrella would hit first because it doesn't have as much air pressure hitting it. The open one has air pushing against it making it to where the open umbrella floats but falls slowly.    

An open umbrella will hit the ground after a closed umbrella because it has

a larger surface area and more air pressure and resistance.

An open umbrella has more surface araea which means more air particles

interacting with it. This slows it down and is the reason it hits the ground

after the closed umbrella.

Closed umbrella on the other hand have a smaller surface area and less air

resistance which is why it hits the ground faster.

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Answer:

T try d add b CD c

Explanation:

Cdgffd

Jupiter's largest moon is Ganymede, while Io is the most geologically active. Europa has a subsurface ocean and a resonance with Ganymede.

1. The largest moon in the solar system is Ganymede, which orbits Jupiter.

2. The jovian moon with the most geologically active surface is Io, which is also known for its tremendous volcanic activity.

3. Strong evidence both from surface features and magnetic field data support the existence of a subsurface ocean on Europa, which is another moon of Jupiter.

4. Tidal heating is responsible for the tremendous volcanic activity on Io.

5. Callisto is the most distant of Jupiter's four Galilean moons.

6. The fact that Europa orbits Jupiter twice for every one orbit of Ganymede is an example of a resonance.

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Answer

I hope it's helps you

Answer:

c gl

Explanation:

::::::::::::::::::::::::

3.1 Two differences between distance and displacement are:

- Distance is a scalar quantity that refers to the total length traveled irrespective of direction, while displacement is a vector quantity that measures the change in position from the initial point to the final point, considering both distance and direction.

- Distance is always positive or zero, as it only considers the magnitude of the traveled path. Displacement can be positive, negative, or zero, depending on the direction of the movement relative to the reference point.

How to solve for the time

3.2 To determine the time it takes for ball B to reach the ground, we can use the equation of motion for free fall:

h = (1/2)gt²

Where:

h is the initial height (25 m)

g is the acceleration due to gravity (approximately 9.8 m/s^2)

t is the time

Rearranging the equation to solve for time:

t = √((2h)/g)

Substituting the given values:

t = √((2 * 25) / 9.8)

t ≈ 3.19 seconds

Therefore, it takes approximately 3.19 seconds for ball B to reach the ground.

3.3 To calculate the initial velocity of ball A, we can use the equation of motion for vertical projectile motion:

\(v^2 = u^2 - 2gs\)

Where:

v is the final velocity (which is zero as the ball reaches its maximum height)

u is the initial velocity (which we need to find)

g is the acceleration due to gravity (approximately 9.8 m/s^2)

s is the displacement (which is the change in height, -20 m)

Rearranging the equation to solve for initial velocity:

\(u^2 = v^2 + 2gs\)

u = √(v² + 2gs)

Substituting the given values:

u = √(0² + 2 * 9.8 * (-20))

u = √(0 + (-392))

u ≈ -19.80 m/s

Therefore, the initial velocity of ball A is approximately -19.80 m/s (negative sign indicates upward projection).

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