consider a very small hole in the bottom of a tank 22 cm in diameter filled with water to a height of 60 cm. find the speed at which the water exits the tank through the hole.

Given: mass of ice = 30g, specific heat of ice = 336 Jg^-1K^-1, specific heat of water = 4186 Jg^-1K^-1

Let x be the heat energy supplied to melt the ice. Heat energy required to raise the temperature of 30g of ice from 0°C to 0°C (its melting point) is given by: Q1 = mass x specific heat of ice x change in temperature, Q1 = 30g x 336 Jg^-1K^-1 x (0 - 0) = 0 J. Since 80% of the heat supplied completely melts the ice, the remaining 20% of the heat energy supplied is used to raise the temperature of the melted ice (now water) from 0°C to 0°C: Q2 = 0.2 x total heat energy supplied, Q2 = 0.2 x x. The total heat energy supplied is given by: total heat energy supplied = Q1 + Q2, x = (total heat energy supplied - Q1)/0.2, x = (336 Jg^-1K^-1 x 30g - 0)/0.2

x = 201600 J. Therefore, the total heat energy supplied to melt the ice completely to water at 0°C is 201600 J.

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Answer:

Muscular helps you move while Cardiovascular helps you breathe, not move. Hope this helps, I tried my best :)

Explanation:

Muscular endurance relates to how your body is able to move, your muscles.

Cardiovascular is how your body supplies blood and helps you breathe, (an organ in this system is heart)    :)

Answer:

Approximately \(\$ 3.02\).

Explanation:

Note that the electric rate in this question is in the unit dollar-per-\({\rm kWh}\), where \(1\; {\rm kWh}\) is the energy to run an appliance of power \(1\; {\rm kW}\) for an hour.

Number of minutes for which the air conditioner is running in that day: \(15 \times 24 = 360\; \text{minute}\). Apply unit conversion and ensure that this time is measured in hours (same as the unit of the electric rate.)

\(\begin{aligned} \text{time} &= 360\; \text{minute} \times \frac{1\; \text{hour}}{60\; \text{minute}} = 6\; \text{hour} \end{aligned}\).

The power of this air conditioner is:

\(\begin{aligned} \text{power} &= \text{voltage} \times \text{current} \\ &= 240\; {\rm V} \times 21\; {\rm A} \\ &= 5040\; {\rm W} \\ &= 5.04\; {\rm kW} \end{aligned}\).

Thus, the energy that this air conditioner would consume would be:

\(\begin{aligned}\text{energy} &= \text{power} \times \text{time} \\ &= 5.04\; {\rm kW} \times 6\; \text{hour} \\ &= 30.24\; {\rm kWh} \end{aligned}\).

At a rate of \(0.1\) dollar-per-\({\rm kWh}\), the cost of that much energy would be approximately \(3.02\) dollars (rounded to the nearest cent.)

Answer:

I believe that it's C

Explanation:

To convert centimeters to micrometers, we need to multiply the value by 10,000. Therefore, to convert 2840 centimeters to micrometers:

2840 cm * 10,000 = 28,400,000 μm

Writing this in scientific notation with three significant figures:

28,400,000 μm = 2.84e7 μm.

Micrometers, often abbreviated as μm, are a unit of length measurement in the metric system. One micrometer is equal to one millionth of a meter, which is approximately 0.000001 meters or 0.001 millimeters.

Micrometers are commonly used to measure extremely small distances or the size of microscopic objects. They are particularly useful in scientific research, engineering, manufacturing, and other fields where precise measurements at the microscale are required.

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Answer:The object has negative acceleration and eventually stops.

Explanation:

Answer:not sure

Explanation:

Sorry:(

The potential energy stored in a 2 kg ball is 58.8 J.

The potential energy stored in a 2 kg ball lifted by 3 m against the gravitational field is calculated as follows;

P.E = mgh

where;

The potential energy stored in a 2 kg ball is calculated as follows;

P.E = ( 2kg x 9.8 m/s² x 3 m )

P.E = 58.8 J

Thus, potential energy increases with increase in position above the ground.

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The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched.

A ball is launched from inside a cylindrical device that has been set on a frictionless incline and turned loose. What can be determined about where the ball will land?It can be determined that the ball will land in front of the cylinder.

This can be explained with the help of a few concepts of Physics. When an object moves on an incline without friction, then it can be divided into two components, which are: gravity and normal force.

Here, gravity is acting towards the center of the Earth, whereas the normal force is perpendicular to the incline. Let's suppose that the ball is launched with a certain velocity, which makes it move along the incline and get projected in the forward direction.

If we think of the motion of the ball from the observer's point of view who is standing on the incline, then the motion will appear to be parabolic. This is because the observer would see that the ball is moving forward with a constant velocity, but its vertical position keeps changing due to the effect of gravity.

However, from the observer's point of view who is standing in front of the cylinder, the motion of the ball will look like it is a projectile.

The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched.

But, due to the effect of gravity, the vertical component of the velocity would change, which would result in a parabolic path of the ball. Therefore, the ball will land in front of the cylinder.

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The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched. It can be determined that the ball will land in front of the cylinder. The correct option is The ball will land in front of the cylinder.

A ball is launched from inside a cylindrical device that has been set on a frictionless incline and turned loose. What can be determined about where the ball will land?It can be determined that the ball will land in front of the cylinder.

This can be explained with the help of a few concepts of Physics. When an object moves on an incline without friction, then it can be divided into two components, which are: gravity and normal force.

Here, gravity is acting towards the center of the Earth, whereas the normal force is perpendicular to the incline. Let's suppose that the ball is launched with a certain velocity, which makes it move along the incline and get projected in the forward direction.

If we think of the motion of the ball from the observer's point of view who is standing on the incline, then the motion will appear to be parabolic. This is because the observer would see that the ball is moving forward with a constant velocity, but its vertical position keeps changing due to the effect of gravity.

However, from the observer's point of view who is standing in front of the cylinder, the motion of the ball will look like it is a projectile.

The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched.

But, due to the effect of gravity, the vertical component of the velocity would change, which would result in a parabolic path of the ball. Therefore, the ball will land in front of the cylinder.

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Answer:

1) a substance made by mixing other substances together.

2) diverse in character or content.

3) of the same kind; alike.

4) a means of solving a problem or dealing with a difficult situation.

5) a homogeneous noncrystalline substance consisting of large molecules or ultramicroscopic particles of one substance dispersed through a second substance. Colloids include gels, sols, and emulsions; the particles do not settle, and cannot be separated out by ordinary filtering or centrifuging like those in a suspension.

6) the temporary prevention of something from continuing or being in force or effect.

7) having assets in excess of liabilities; able to pay one's debts.

8) the minor component in a solution, dissolved in the solvent.

9) the state or process that occurs when no more of something can be absorbed, combined with, or added.

REFER TO IMAGE ...

The current through the 2Ω resistor is 9.5A

The terminal voltage is 10.8 V

a) The voltage V across 8 Ω resistor is V = I*R = 8*0.5 = 4V

the current through 16Ω resistor is then I = V/R = 4/16 = 0.25 A

the current through 20Ω resistor is then I = current through 8Ω resistor + current through 16Ω resistor = 0.75 A

voltage across 20Ω is V = I*R = 0.75*20 = 15 V

the source voltage is Vs = V8 + V20 = 4+15 = 19 V

therefore the current through 2Ω resistor is

I = V/R = 19/2 = 9.5 A

b) The terminal voltage is

Vterminal = VR = I*R = 0.450*24 = 10.8 V

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Answer: plants have internal and external structures that support growth and reproduction Examples of internal structures are the xylem and phloem Examples of external structures are the roots and stems. All of these structures provide plants with nutrients and food

Explanation: BRAIN

The order of effectiveness for these systems is typically the respiratory system first, followed by the urinary system, and then the buffering system.

The three body systems that work together to maintain pH levels within the narrow range of normal are the respiratory, urinary, and buffering systems.  The respiratory system can quickly adjust the levels of carbon dioxide in the blood to maintain pH balance. If the respiratory system is unable to maintain normal pH levels, the urinary system will begin to eliminate excess acids or bases from the body. Finally, the buffering system will step in to neutralize any remaining acids or bases to maintain pH levels within the normal range.

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Add the eyepiece's power, typically 10X, to the objective's (4x) power to get the overall magnification. Total magnification for 4x lens is 40x and 10x is 400x.

Make sure the 4X scanning objective is locked into position and the stage is completely down before viewing a slide through the microscope.

Set the slide over the aperture that you want to see, then carefully place the stage clips on top of the slide to secure it in place.

Start with the 4X objective, keep both eyes open while looking through the eyepiece (if necessary, cover one with your palm), and gradually raise the stage using the coarse adjustment knob until the image is clear. The coarse adjustment knob will only need to be used once during the operation. You will be utilizing parfocal microscopes, which means that the image. Things appear 40 times bigger than they are using a 40x objective. Comparing objective magnification is relative. The capacity of a microscope to create an image of an object at a scale bigger (or even smaller) than its real size is known as magnification.

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a) To find the speed of the signal in water, we can use the equation:

Speed = Wavelength x Frequency

Where Wavelength is given as 1.5 mm and Frequency is given as 1 x 10^6 Hz.

Speed = 1.5 x 10^-3 m x 10^6 Hz = 1.5 x 10^3 m/s

So the speed of the signal in water is 1.5 x 10^3 m/s

b) To find the period in water, we can use the equation:

Period = 1 / Frequency

Where Frequency is given as 1 x 10^6 Hz

Period = 1 / (1 x 10^6) s = 1 x 10^-6 s = 1 microsecond

So the period of the signal in water is 1 microsecond

c) The speed of sound in air is approximately 343 m/s. Since the frequency of the signal remains constant and the speed of sound in air is different than the speed of sound in water, the wavelength of the signal will also be different. However, since the period is inversely proportional to the frequency and is independent of the medium, the period of the signal in air will be the same as in water, which is 1 microsecond.

The levels of body organization, from cells to tissues, organs, organ systems, and the whole organism, work collaboratively to support bodily functions, allowing the body to carry out essential processes such as metabolism, movement, and communication.

The human body is organized into different levels, each contributing to the overall function and maintenance of the body. These levels of organization work together in a coordinated manner to ensure the proper functioning of the body. At the cellular level, cells are the basic structural and functional units of the body. Different types of cells perform specific functions and work together within tissues. Tissues, such as muscle, nerve, or connective tissue, are formed by groups of specialized cells that collaborate to carry out specific functions. Tissues combine to form organs, which are distinct structures with specific functions. Organs, such as the heart, lungs, and liver, are made up of different tissues working together to perform complex tasks. Organs further integrate to form organ systems. For instance, the circulatory system comprises the heart, blood vessels, and blood, working together to transport nutrients and oxygen throughout the body. Organ systems, like the respiratory, digestive, and nervous systems, coordinate their activities to maintain homeostasis and ensure the body's overall function. Lastly, all the organ systems collectively form the organism, the complete individual capable of carrying out various activities, responding to stimuli, and maintaining internal balance.

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The location of an object in the local sky can be described by its altitude and azimuth.

Altitude refers to the height of an object above the horizon. It is measured in degrees, with 0 degrees being the horizon and 90 degrees being directly overhead.

Azimuth refers to the object's position in the sky along the horizon. It is also measured in degrees, with 0 degrees being directly north, 90 degrees being directly east, 180 degrees being directly south, and 270 degrees being directly west.

Together, altitude and azimuth describe the position of an object in the local sky in a two-dimensional plane. By observing the altitude and azimuth of an object at different times, we can determine its motion across the sky, which can be used for navigation, identifying stars and constellations, and tracking the positions of celestial bodies.

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From the given options let's select the example which shows a conceptual model.

A conceptual model can be said to be a model which shows an abstract representation of any concept which can be visualized or imagined than other models.

It is a model which the designers want users to understand.

From the list, the best option which is an example of a conceptual model is a mental image of gas molecules as tiny balls.

Let's say, for example, you imagine or have a mental picture of gas molecules using your imagination, it helps to understand how a vacuum system works and you can easily solve the problem if something goes wrong.

Therefore, the example of a conceptual model is:

A mental image of gas molecules as tiny balls.

• ANSWER:

A. mental image of gas molecules as tiny balls

Answer:

A. 25.08 s

B. 3082.53 m

C. 3×10⁵ m/s²

Explanation:

A. Determination of the time.

This can be obtained as illustrated below:

Acceleration (a) = –9.8 m/s²

Initial velocity (u) = 245.8 m/s

Final velocity (v) = 0 m/s

Time (t) =.?

v = u + at

0 = 245.8 + (–9.8 × t)

0 = 245.8 – 9.8t

Collect like terms

0 – 245.8 = – 9.8t

– 245.8 = – 9.8t

Divide both side by –9.8

t = –245.8 / –9.8

t = 25.08 s

Therefore, it will take 25.08 s for the car to come to a complete stop.

B. Determination of the distance travelled by the car.

Acceleration (a) = –9.8 m/s²

Initial velocity (u) = 245.8 m/s

Final velocity (v) = 0 m/s

Distance (s) =?

v² = u² + 2as

0² = 245.8² + (2 × –9.8 × s)

0 = 60417.64 – 19.6s

Collect like terms

0 – 60417.64 = – 19.6s

– 60417.64 = – 19.6s

Divide both side by –19.6

s = –60417.64 / –19.6

s = 3082.53 m

Thus, the car travelled a distance of 3082.53 m before stopping completely.

C. Determination of the acceleration of the object.

Initial velocity (u) = 0 m/s

Final velocity (v) = 600 m/s

Distance (s) = 0.6 m

Acceleration (a) =?

v² = u² + 2as

600² = 0² + (2 × a × 0.6)

360000 = 0 + 1.2a

360000 = 1.2a

Divide both side by 1.2

a = 360000 / 1.2

a = 300000 = 3×10⁵ m/s²

The ostrich's average speed during the 3.0 km run is approximately 38.65 km/h.

The average speed of the ostrich during the entire 3.0 km run, we need to calculate  the total time taken for both segments and then divide the total distance by the total time.

Calculate the time for each segment:

Time taken for the first 1.5 km segment at 58 km/h:

Time = Distance / Speed

= 1.5 km / 58 km/h

≈ 0.02586 hours

Time taken for the second 1.5 km segment at 29 km/h:

Time = Distance / Speed

= 1.5 km / 29 km/h

≈ 0.05172 hours

Calculate the total time:

Total Time = Time for the first segment + Time for the second segment

Total Time ≈ 0.02586 hours + 0.05172 hours

≈ 0.07758 hours

Calculate the average speed:

Average Speed = Total Distance / Total Time

Average Speed = 3.0 km / 0.07758 hours

≈ 38.65 km/h

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Explanation:

an echo mimics exactly what is said, this is like a mirror because when you look in a mirror every action you make is copied by your reflection

Answer:

Photosynthesis is the process of using water, carbon dioxide and sunlight to produce sugar. The process of photosynthesis requires specialized cellular structures called chloroplasts to capture energy from the Sun and converted into chemical energy.

Explanation:

Answer: Weak nuclear forces are involved when certain types of atoms break down. Strong nuclear forces are responsible for holding atoms' nucleus together.

Answer:

300 J (Joules)

A Joule will measure "the amount of work done when a force of one newton is exerted through a distance of one meter"

Hope this Helps

Answer:

56km

Explanation:

168 ÷ 240 = 0.7

0.7 × 80 = 56km

240 is the amount of minutes in 4 hours.

We divided 168 by 240 to get the distance covered in 1 minute. Afterwards, we needed 80 minutes so we multiplied the answer by 80.

The angular acceleration of the disc at 3 seconds can be determined by differentiating the given function twice with respect to time and evaluating it at t = 3 seconds.

To find the angular acceleration of the disc at 3 seconds, we need to differentiate the given function, 0(t) = \(t^{3}\) - \(3t^{2}\), twice with respect to time. The first derivative of 0(t) gives us the angular velocity, and the second derivative gives us the angular acceleration.

Taking the first derivative of 0(t), we get:

ω(t) = d(0(t))/dt = \(3t^{2}\) - 6t.

Now, taking the second derivative of ω(t), we find the angular acceleration:

α(t) = d(ω(t))/dt = \(d^{2}\)(0(t))/\(dt^{2}\) = 6t - 6.

To determine the angular acceleration at t = 3 seconds, we substitute t = 3 into the expression for α(t):

α(3) = 6(3) - 6 = 18 - 6 = 12 rad/\(s^{2}\).

Therefore, the angular acceleration of the disc at 3 seconds is 12 rad/\(s^{2}\).

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The one which gives an emission line of the highest frequency is B. n = 2 to n = 1.

E 1 = −13.6−(−3.4)= −10.2 eV

E 2 = −3.4−(−13.6)= +10.2 eV

E 3 = −0.136−(−1.51)= +1.374 eV

E4 = −1.51−(−0.136)=−1.374 eV

When an electron makes transition from higher energy level having energy E2 (n2 ) to lower energy having energy E1 (n 1), then a photon of frequency ν is emitted.

Frequency of photon emitted ν= E / h

Here, for emission line E1 is maximum hence, it will have the highest frequency emission line.

Correct answer is option B.

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The Maxwell's equation that allows us to calculate the current flowing in the metal ring is Faraday's Law of Electromagnetic Induction, which states that the magnitude of the induced EMF (electromotive force) is equal to the rate of change of magnetic flux through a conducting loop.

In this case, the rotating Apollo spacecraft generates a changing magnetic flux through the metal ring due to its motion through the Earth's magnetic field. Therefore, an EMF is induced in the metal ring, which causes a current to flow.

To calculate the magnitude of this current, we need to know the rate of change of the magnetic flux through the metal ring. This can be found by taking the time derivative of the magnetic flux. Since the spacecraft is rotating about a perpendicular axis, the magnetic flux through the metal ring will vary sinusoidally with time. Therefore, we can express the time-varying magnetic flux through the metal ring as:

Φ(t) = Φmax sin(2πft)

where Φmax is the maximum magnetic flux through the metal ring, f is the frequency of the spacecraft's rotation, and t is time.

Taking the time derivative of this expression, we get:

dΦ/dt = Φmax (2πf) cos(2πft)

This expression gives us the rate of change of magnetic flux through the metal ring, which is proportional to the induced EMF. Finally, by applying Ohm's Law (V = IR) to the metal ring, we can calculate the current flowing in the ring. The current is given by:

I = V/R

where V is the induced EMF and R is the resistance of the metal ring. The resistance of the ring depends on its material properties and dimensions.

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Around 3 p.m., when the sun is sufficiently low in the sky, more heat is lost than is received.

Even though the sun's beams are most direct around noon, the afternoon is the warmest part of the day because air temperatures close to the earth's surface will continue to rise as long as incoming solar radiation outweighs outgoing longwave earth radiation.

Around 3 p.m., it gets the warmest. When the sun is at its zenith in the sky, or after midday, heat continues to accumulate as long as more heat is entering the earth than is leaving. When the sun is low enough in the sky, around 3 p.m., more heat is lost than is gained.

Many people believe that noon is when it gets the warmest. We receive the maximum energy from the sun at noon, which may make it feel hotter. But during the day, Earth is accumulating heat or energy from incoming sources. The air becomes warmer as the day goes on.

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The total circulation around any closed path in the fluid, excluding points C and D, must be zero.

Fluid is a term used to describe a substance that can flow and take the shape of its container. It is a state of matter that is distinguished from solid and gas by its ability to conform to the shape of the container it occupies. Common examples of fluids include water, oil, and air.

Fluids can be classified as either Newtonian or non-Newtonian depending on how they respond to shear stress. Newtonian fluids have a constant viscosity, or resistance to flow, regardless of the applied shear stress. Non-Newtonian fluids, on the other hand, exhibit variable viscosity and may become more or less viscous under stress.

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