An object is falling from a height of 7. 5 meters. At what height will its velocity be 7 meters/second? A. 49 meters B. 7. 5 meters C. 7. 0 meters D. 5. 0 meters E. 2. 5 meters.

By solving the given equation on [² f(u)du = t_ -L₁ €² 2 f(u)du is obtained, we can find t.= J 1+e²t / 1 + e2t / 1-e²tdt. Now, we need to solve the integral,∫ 1+e²t / (1 + e2t)(1-e²t) dt.

For this integral, let u = 1+ e²tSo, du/dt = 2e²And, dt = du/2e²= 1/2e² ∫1+e²t / (u)(1-e²t) du= 1/2e² ∫ (1/u) - (e²/(1-e²t)) du= 1/2e² [ln|u| - ln|1-e²t|] + c.

Now, substituting back the value of u,= 1/2e² [ln|1+ e²t| - ln|1-e²t|] + c= 1/2e² ln|1+ e²t / 1-e²t| + c.

Now, putting the limits in the above expression and solving it, we get the value of t.= [1/2e² ln|1+ e²t / 1-e²t|] t = 1 2t / [1 + e²t] - L₁ 2t / [1-e²t].

Hence, the answer is D) f(t)= 2t / [1 + e²t] - L₁ 2t / [1-e²t].

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Reflection, refraction, absorption, and change in speed can occur when seismic waves encounter a layer in Earth's interior.

Your question is: Which of the following can occur when seismic waves encounter a layer in Earth's interior?

Your answer: When seismic waves encounter a layer in Earth's interior, reflection, refraction, absorption, and change in speed can occur. Seismic waves can be affected by the properties of the different layers, resulting in these various phenomena.

Reflection occurs when seismic waves encounter a boundary between two materials with different densities, and some of the energy is reflected back towards the surface. Refraction occurs when seismic waves change direction as they pass through a layer with a different density, which causes them to bend.

Absorption occurs when seismic waves lose energy as they pass through a material. The amount of absorption depends on the density and composition of the material.

Finally, seismic waves can experience a change in speed when they pass through a layer with a different density. The speed of seismic waves depends on the density and composition of the material they are passing through.

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The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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Answer:

the angle of the vector, using the inverse tangent function, is approximately 14.04 degrees.

Explanation:

To find the angle of a vector with given x and y components, we can use the inverse tangent (arctan) function. The formula is as follows:

Angle = arctan(y-component / x-component)

Given:

x-component = 8

y-component = 2

Using these values, we can calculate the angle as:

Angle = arctan(2 / 8)

Calculating this expression, we find:

Angle ≈ arctan(0.25) ≈ 14.04 degrees

Answer:

Red Volcano Rock and the Lava Rock Covered in Sulphur

Explanation:

Igneous Rocks are formed by volcanoes, lava, and magna. Sandstone is sedimentary and Slate is metamorphic. The other two are literally formed by volcanoes.

Answer:

Red Volcano Rock and the Lava Rock Covered in Sulphur

Explanation:

(A) The wavelength of each of these waves when they are sent through sea water is 0.0126 m and 0.0076 m respectively.

(B) The wavelength of each of these waves when they are sent through freshwater is 0.012 m and 0.0074 m respectively.

(C) The time taken for the echo to return to the ship is 3.97 seconds.

The wavelength of the sound wave in sea water depends on the speed of sound in seawater and frequency of the wave.

The speed of sound in seawater, v = 1,510 m/s

λ = v/f

when the frequency, f = 120 kHz

λ = 1510 / 120,000

λ =  0.0126 m

when the frequency, f = 200 kHz

λ = 1510 / 200,000

λ =  0.0076 m

The speed of sound in freshwater, v = 1481 m/s

when the frequency, f = 120 kHz

λ = 1481 / 120,000

λ =  0.012 m

when the frequency, f = 200 kHz

λ = 1481 / 200,000

λ =  0.0074 m

The time taken for the echo to return is calculated as follows

v = 2d/t

t = 2d/v

t = (2 x 3,000 m) / (1510 m/s)

t = 3.97 s

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Irina should report the best estimate of the length of the room as 4.425 meters.

Irina should report the best estimate of the length of the room by calculating the average of all the measurements.

The average of the six independent measurements can be found using the formula:

Average = (Sum of measurements) / (Total number of measurements)

Therefore, the average of the six independent measurements can be calculated as follows:

Average =

(4.402 m + 4.217 m + 4.345 m + 4.925 m + 4.372 m + 4.289 m) / 6

= 26.55 / 6= 4.425 m

This is the best estimate of the length of the room because it is the average of all the independent measurements made by Irina.

In science, measurements play a vital role. Scientists use a range of tools to measure things, from simple ruler or meter stick to highly sophisticated equipment. It is crucial for the measurements to be as precise and accurate as possible because any error in the measurement can affect the results of experiments.

To minimize the error in measurement, scientists often make multiple measurements and then report the average of those measurements as the best estimate of the measurement.

This process is known as taking the average, or mean, of the measurements. In the example given above, Irina made six independent measurements of the length of the room using a meter stick. She then calculated the average of those measurements and reported it as the best estimate of the length of the room.

This method is widely used in science to minimize the error in measurement and to ensure that the results of experiments are as accurate as possible.

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The resistance of the person is 9200 Ω if a fault in the switch is caused by a householder to receive a mild electric shock with the mean power transfer to the person as 5.75 W and potential difference across the person as 230 V.

The resistance of the person can be calculated using Ohm’s law.

Ohm’s law states that the potential difference across a conductor is directly proportional to the current flowing through it, provided that its temperature and other physical conditions remain constant.

It can be expressed as: V = IR,

where V is the potential difference, I is the current, and R is the resistance of the conductor.

Rearranging the equation, we get: R = V/ I.

Given that the mean power transfer to the person was 5.75 W and the potential difference across the person was 230 V, the current flowing through the person can be calculated using the formula:

P = IV

where P is the power ,V is the potential difference and I is the current flowing through the person

Rearranging the equation, we get: I = P/V

Substituting the given values, we get:

I = 5.75/230 = 0.025 A

Therefore, the resistance of the person can be calculated as:

R = V/I = 230/0.025 = 9200 Ω

Hence, the resistance of the person is 9200 Ω.

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Answer:

his acceleration rate is -0.00186 m/s²

Explanation:

Given;

initial position of the car, x₀ = 100 miles = 160, 900 m ( 1 mile = 1609 m)

time of motion, t₀ = 60 minutes = 60 mins x 60 s = 3,600 s

final position of the car, x₁ = 150 miles = 241,350 m

time of motion, t₁ = 100 minutes = 100 mins x 60 s = 6,000 s

The initial velocity is calculated as;

u = 160, 900 m / 3,600 s

u = 44.694 m/s

The final velocity is calculated as;

v = 241,350 m / 6,000 s

v = 40.225 m/s

The acceleration is calculated as;

\(a = \frac{\Delta V}{\Delta t} = \frac{v- u}{t_1 - t_ 0} = \frac{40.225 - 44.694}{6000-3600} = -0.00186 \ m/s^2\\\\\)

Therefore, his acceleration rate is -0.00186 m/s²

The mechanical energy of the system is sum of the potential and kinetic

energy of the system.

Response:

Mechanical energy, M.E. in the block and spring system can be presented as follows;

M.E. = Energy in the spring + Kinetic energy of the blocks + Energy done on friction

When the blocks are held at rest;

The mechanical energy in the block-spring system when the blocks are held at rest can be found as follows;

Energy in the spring = 0

Kinetic energy of the blocks = 0

Friction energy = 0

Therefore;

E1 for the block at rest = 0

E1 when the blocks come to rest again

Energy in the spring = \(\mathbf{\frac{1}{2} \cdot k \cdot x^2}\) > 0

Kinetic energy = 0

Energy of friction = 0

Therefore;

The mechanical energy of the block-spring system, E1, increases

When the blocks are held

Energy in the spring = 0

Energy done due to friction = 0

Potential energy of Block B = m·g·h

Kinetic energy of the blocks = 0

When the blocks come to rest again, we have;

Energy in the spring = \(\frac{1}{2} \cdot k \cdot x^2\)

Energy received due to friction = 0

Potential energy of Block B = m·g·(h - y)

Where;

\(m \cdot g \cdot h = \mathbf{m \cdot g \cdot (h - y) + \frac{1}{2} \cdot k \cdot x^2 + Energy \ loss \ due \ to \ friction}\)

Which gives;

\(m\cdot g \cdot h > m \cdot g \cdot (h - y) + \frac{1}{2} \cdot k \cdot x^2\)

The energy in the spring-block-Earth system, E2, when initially held is more than the the energy when the blocks com to rest again.

Therefore, E2 decreases

The correct option is therefore;

The possible question options obtained from a similar question posted online are;

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Newton's law of universal gravitation doesn't say anything about the cause of gravity.

Einstein's theory of relativity does.

The contamination hazard that is not considered when installing heating, ventilating, and air conditioning systems is radiation contamination.

One contamination hazard that is not typically considered when installing heating, ventilating, and air conditioning (HVAC) systems is biological contamination from outside sources. While HVAC systems are designed to filter out dust, dirt, and other airborne particles, they may not be equipped to handle biological contaminants, such as bacteria or viruses, that can be introduced from outside sources.

To minimize the risk of biological contamination, it is important to properly maintain HVAC systems, including changing filters regularly, ensuring proper ventilation, and regularly cleaning and disinfecting the system. Additionally, it may be necessary to incorporate additional air purification measures, such as UV germicidal irradiation or biocidal treatments, to ensure a safe and healthy indoor environment.

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None

because 9 + 5 = 10 why? because 4 of the ones in nine are liars pretending to be apart of the number so in reality there is only 5 and 5+5=10

Answer:

A rain guage is used to measure the precipitating rain in a given amount of time.

A thermometer is used to measures temperature.

A barometer is used to measure atmospheric pressure.

A anemometer is used to calculate wind speed

Explanation:

Answer:

Hydrogen.

Hydrogen can be considered to be in Group 1 or Group 17 because it has properties similar to both groups. Hydrogen can participate in both ionic and covalent bonding. When participating in covalent bonding, hydrogen only needs two electrons to have a full valence shell.

Explanation:

A bored kid willing to help,

as always hope you're having a splendiferous day.

Answer:

please find the solution which is defined as follows:

Explanation:

Throughout the opposite direction, she not able to throw her tool-belt. In this scenario, she will be sending her floating through her ship. Unless interrupted, it could refer to Newton's The rule of it in motion remains in motion. Consequently, if they throw it one way because there are no molecules to interrupt your course, you can continue to go the other way.

The distance between point A and the point charge is approximately 1.815 micrometers.

The electric potential at a point in the electric field created by a point charge is given by the formula V = kq/r, where V is the electric potential, k is the Coulomb constant (9.00 x \(10^{9}\) \(Nm^{2}/C^{2}\)), q is the point charge, and r is the distance from the point charge.

Rearranging this equation, we get r = kq/V. Plugging in the given values, we get: r = (9.00 x \(10^{9}\) \(Nm^{2}/C^{2}\))(3.3 x \(10^{-11}\) C)/(0.6 V)

Simplifying this expression, we get: r = 1.815 x \(10^{-6}\) m

Therefore, the distance between point A and the point charge is approximately 1.815 micrometers.

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The final velocity or speed of the truck is about 2.5 m/s.

We have to recall that in this case, the principle of the conservation of the linear momentum must come to mind. From the principle that we have it ought to be know that;

Momentum before collision = Momentum after collision

Then we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

The velocity is 2.5 m/s from the calculation that we have done.

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Less than 45° would be the angle that the string would create horizontally if the sphere-Earth system's kinetic and potential energies were equal.

The pull that binds the gases in the sun together is one illustration of the gravitational force. a ball you throw in the air will come crashing down due to this force. the force that keeps an automobile from coasting downhill even when the gas is off.

Our term gravity and its more specific derivation gravitation are derived from the Latin word gravitas, from gravis (heavy), which in turn derives from an even older root word that is believed to have existed due to multiple cognates in related languages.

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In the other motion,  your weight also be greater than your normal weight if the elevator moves downward while slowing in speed, then the weight of the person would also be greater than the normal weight.

The normаl force is the perpendiculаr force thаt opposes the weight of аn object in contаct with а surfаce. The normаl force equаls the object's weight only in situаtions where the object is directly on а horizontаl surfаce or the incline аngle is 0 degrees.

The force exerted by аn object perpendiculаr to а surfаce thаt prevents the object from sinking into the surfаce is referred to аs the normаl force. When аn object is plаced on а surfаce, the surfаce responds by exerting а force thаt is perpendiculаr to the object's weight. Аnother motion thаt would аlso result in your weight being greаter thаn your normаl weight is when the elevаtor moves downwаrd while slowing in speed. This occurs due to the аccelerаtion of the person within the elevаtor.

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Heat flows from the hot fluid to the cold fluid, and the amount of heat transferred is directly dependent on the temperature difference between the two sides.

What is heat exchange?

In a heat exchanger, heat flows from the hot fluid to the cold fluid, and the amount of heat transferred is directly dependent on the temperature difference between the two sides.

In a parallel flow arrangement, the cold inlet and hot inlet are interacting with each other. At that entry point, the temperature difference is wide, and heat transfers quickly.

As the streams pass through the parallel-flow exchanger, they start to approach each other’s temperature. The heat transfer rate drops in line with the reduction in temperature difference.

Now we have the answer to your question. It is impossible for the exit temperature of the cold liquid to exceed the exit temperature of the hot liquid. This is because once the same temperature is reached, all heat transfer stops because there is no temperature difference.

This limitation of parallel flow heat exchangers is the reason most heat exchangers are arranged in counterflow. The counter-flow design results in a higher average temperature difference and greater heat transfer.

Therefore, heat flows from the hot fluid to the cold fluid, and the amount of heat transferred is directly dependent on the temperature difference between the two sides.

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Experiment 1 Understanding of low voltage electrical apparatus: Purpose of the experiment1) Master the usage of common electrical tools.2) Master the common identification methods of low pressure.3) Master the function of low-voltage electrical apparatus and their correct application. Experiment contents and requirements

The experiment requires observing common low-voltage apparatus and understanding their structure. The following requirements are required:1. Drawing electrical symbols2. Writing text symbols3. Describing the basic working principle and function of low-voltage electrical components that are observed in the experiment report and content for the experiment report, follow this steps:1. Purchase the uniform standard experimental report paper in the academic affairs office.2. Fill in according to the items specified in the test report.3. Draw the electrical symbols and write the text symbols according to the observed low-voltage electrical components.4.

According to the observed low-voltage electrical components, the basic working principle and function are briefly described.

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Answer: No doesn’t require any special training.

Explanation:

The construction of a scientific question doesn’t require any special training, Coming up with a scientific questions isn't supposed to be difficult and doesn't require training as a scientist.

If you've ever been curious about something, if you've ever wondered or want to know what caused something to happen, this are examples of scientific questions as they are usually driven by curiosity to know more.

The equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME) is: KE = ME - GPE; option D

The law of conservation of energy states that in a system, the total energy is conserved. This means that energy is nether created nor destroyed but can be transformed from one form to another.

The total mechanical energy in a system is composed of two parts:

gravitational potential energy, and kinetic energy

Mathematically;

Thus the equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME) is KE = ME - GPE

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Explanation:

potential energy = mass × gravity force × height

5000 = 50 ×10 ×h

5000= 500×h

h = 5000÷500

h = 10 m

Explanation:

A. Erosion of rock

D. Sediments are distributed by river to a new location

B. Particles settle out and form layers

E. Fossils form as living things are trapped in the layers

C. Humans analyze formations to determine the age of rock

The steps given are keys which ensures we understand how sediments form sequentially in basin of deposition. Coupled with this, we are shown a peep into the world of fossilization.

Answer:

All investigations share steps of the scientific method, such as asking a question, conducting research, or analyzing data. The differences between investigations are usually related to what's being examined and the order of the steps followed.

In a criminal investigation, facts are collected about a crime that has already happened. While there are individual tests that can be done on certain types of evidence, there isn't an experiment to test every part of a crime. It can also be difficult to control all factors in a crime scene in order to test one variable at a time. Usually, there are so many variables and missing facts in a crime that a hypothesis and conclusion are hard to determine.

Explanation:

hope it helps <3

All types of investigation involve the steps of the scientific method, such as asking questions, researching, analyzing data, etc.

The research methods and techniques that can be used in order to develop hypotheses, conduct experiments, analyze data, and draw conclusions are called scientific investigations.

The evidence does not give enough solutions but it can lead to new issues for investigation. The methods that can be used by scientists to do scientific investigations involve scientific methods. The steps utilized by scientists to conduct the scientific investigation include:

Scientific investigation starts with an observation. After observing unusual we commonly question ourselves.

A hypothesis can be described as the possible answer to any scientific question. The hypothesis is logical still it can be falsifiable. The results of the test whether the evidence agrees with the prediction and supports the hypothesis or not to create a conclusion.

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