A water trough is m long and a cross-section has the shape of an isosceles trapezoid that is cm wide at the bottom, cm wide at the top, and has height cm. If the trough is being filled with water at the rate of , how fast is the water level rising when the water is cm deep

Answer:

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 2000 × 35

We have the final answer as

Hope this helps you

The EMT must assume that any unwitnessed water-related incident is accompanied by potential spinal damage.

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The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.

Eukaryotic creatures known as fungi include yeasts, moulds, and mushrooms as well as other microorganisms. These creatures fall under the category of fungi. The organisms that make up the Kingdom Fungi are ubiquitous and have a cell wall. They fall under the category of heterotrophs among biological things.

Decomposition, also known as rot, is the breakdown of dead organic matter into more basic organic or inorganic elements like carbon dioxide, water, simple sugars, and mineral salts. The procedure, which is a component of the nutrient cycle, is crucial for recycling the limited amount of matter that takes up real estate in the environment. After a living thing expires, its body starts to decompose. Animals like worms also contribute to the breakdown of the organic elements. Decomposers  are organisms that carry out this process. Despite the fact that no two organisms decompose in exactly the same manner, they all go through the same sequential phases. Taphonomy, which comes from the Greek word taphos, which means tomb, is the general name for the discipline that studies decomposition.

In this question, since both fungi and bacteria are decomposers,  therefore they obtain their energy from decomposing the dead tree trunk and the fallen apples.

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Answer:

cars stay in motion because its normal for objects to keep. doing what they are doing unless acted upon

Answer:

My arms are doing a negative work

Explanation:

When you set something on the ground, the displacement of the object set towards the ground is in the downward direction. which means that, in this case, there is a downward displacement.

As the object is set on the ground, the force exerted by the arms on the object acts in the upward direction.

Summarily, direction of force is upwards while the direction of displacement is downwards.

Since the force and displacement act in opposite direction, a negative work is said to be done.

The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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The equivalent unit of measure for voltage, V, is volts (V).

In the equation P = I × V, the power, P, is measured in joules per second (J/s). The current, I, is measured in coulombs per second (C/s). To determine the unit of measure for voltage, we rearrange the equation to solve for V: V = P / I.

Since power is measured in joules per second (J/s) and current is measured in coulombs per second (C/s), dividing power by current will give us the unit for voltage. The resulting unit is volts (V). Therefore, volts (V) is the equivalent unit of measure for V in the given equation.

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Statement D about pneumatic systems is true. Pneumatic systems are cleaner than hydraulic systems.

Pneumatic systems are employed in a wide range of manufacturing and assembly applications. They can be used to transport objects on production lines as well as in maintenance facilities.

In hydraulic systems liquid is used as fluid for the force transmission. While in the pneumatic system air is used causing more cleanliness in the system.

The pneumatic systems are cleaner than hydraulic systems.

Hence, a statement D about pneumatic systems is true.

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Answer:

i think it is B

Explanation:

The direct variation equation is I = kh and it will take 42.1 hours for the restaurant to earn Php 1,000,000.

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables.

In an 8-hour period, Jollibee takes in Php 190000.

The direct variation equation is given as y = kx, where y is directly proportional to x.

Hours worked (h) directly affect income (I), where k is the variational constant.

Therefore,

I = k × h

190000 = k × (8)

k = 23750 / 190000

Now, when the restaurant earns Php 1,000,000.

Therefore, using the direct variation equation:

Income = variable constant × number of hours

I = k × h

1,000,000 = (23750) × h

h = 1,000,000 / 23750

h = 42.1 hours

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Represent the airplane's airspeed as a vector. The magnitude is 345 mph, and the direction is 124 degrees (measured clockwise from due north). Let's call this vector A.

2. Represent the wind speed as a vector. The magnitude is 23 mph, and the direction is from the west, which is 270 degrees (measured clockwise from due north). Let's call this vector W.

3. Find the components of both vectors A and W. We can do this using trigonometry:

  A_x = 345 * cos(124°)
  A_y = 345 * sin(124°)

  W_x = 23 * cos(270°)
  W_y = 23 * sin(270°)

4. Add the components of vectors A and W to find the components of the groundspeed vector G:

  G_x = A_x + W_x
  G_y = A_y + W_y

5. Calculate the magnitude of the groundspeed vector G:

  Groundspeed = |G| = sqrt(G_x^2 + G_y^2)

6. Calculate the course of the airplane (the angle of vector G):

  Course = arctan(G_y / G_x)

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The refractive index of the material is 0.

When the ray is incident on a transparent surface at an angle of 360 and the angle of refraction within the material is 27°, the refractive index of the material can be determined. The formula for Snell’s law is used to calculate refractive index. It states that: `sin i / sin r = n where i is the angle of incidence, r is the angle of refraction and n is the refractive index`.Snell’s law can be re-arranged to make n the subject of the formula to be: `n = sin i / sin r`Hence, we can calculate the refractive index as follows:

For the incident ray, i = 360° and the angle of refraction within the material, r = 27°.n = sin i / sin r= sin 360°/ sin 27°= 0/1 (since sin 360° = 0)= 0Therefore, the refractive index of the material is 0. T

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The answer is A, Hope this helps and sorry for being late :)

The refractive index of the gas in the Michelson interferometer, use the equation ng = 1 + ((N + 1/2) * λ) / L, where N is the number of bright fringes, λ is the wavelength of light, and L is the length of the cylinder.

To determine the index of refraction of the gas, we can consider the interference pattern observed in the Michelson interferometer. The number of bright fringes passing on the screen corresponds to the path difference between the two arms of the interferometer.

When the cylinder is evacuated, the path difference is determined solely by the length of the cylinder, which is L. However, when the gas is slowly leaked into the cylinder, its refractive index affects the path difference. Let's denote the refractive index of the gas as ng.

The path difference introduced by the gas can be calculated using the formula:

ΔL = (ng - 1) * L

Where:

ΔL is the additional path difference due to the gas

ng is the refractive index of the gas

L is the length of the cylinder

Since the pressure of the gas is increased until it reaches 1 atm, we can assume that the refractive index of the gas at 1 atm is ng = 1 + Δng, where Δng is the change in refractive index caused by the gas.

The number of bright fringes passing on the screen corresponds to half a wavelength, as each bright fringe corresponds to a path difference of λ/2.

Therefore, we can set up the equation:

(ng - 1) * L = (N + 1/2) * λ

Solving for ng:

ng = 1 + ((N + 1/2) * λ) / L

This gives us the refractive index of the gas at a pressure of 1 atm.

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The index of refraction of a gas can be calculated using the formula (2L / λ) + 1, where L is the length of the evacuated cylinder and λ is the wavelength of the light used.

The index of refraction of the gas can be determined by using the formula for the number of bright fringes, N, in the Michelson interferometer. The formula is given by:
N = 2L / (λ * (n_g - 1))
Where L is the length of the evacuated cylinder, λ is the wavelength of the light used, and n_g is the index of refraction of the gas.

We know that N bright fringes pass on the screen during the process. The length of the evacuated cylinder is given as L, and the wavelength of light used is λ. We need to find the index of refraction of the gas, n_g.

Rearranging the formula, we have:
n_g = (2L / (λ * N)) + 1

Substituting the given values, we get:
n_g = (2L / (λ * N)) + 1 = (2L / (λ * 1)) + 1 = (2L / λ) + 1

So, the index of refraction of the gas is given by (2L / λ) + 1.

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The voltage across the 90 μH inductor at t = 0.10 s is approximately 24.004 V.

To find the voltage across the 90 μH inductor at t = 0.10 s, we can substitute the given value of t into the equation:

vL = (25 V) * cos(60t)

Plugging in t = 0.10 s:

vL = (25 V) * cos(60 * 0.10)

Calculating the expression inside the cosine function:

60 * 0.10 = 6

Now we have:

vL = (25 V) * cos(6)

Using a calculator or math software to evaluate cos(6), we find:

cos(6) ≈ 0.960170287

Substituting this value back into the equation:

vL ≈ (25 V) * 0.960170287

Calculating the expression gives us:

vL ≈ 24.004256175 V

Therefore, the voltage across the 90 μH inductor at t = 0.10 s is approximately 24.004 V.

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The milky way disk is the structure through which infrared radiation travels most readily.

There are several applications for infrared radiation, including thermal imaging, remote controls, fiber optic cabling, infrared astronomy, even meteorology. The greenhouse effect is caused in part by the fact because water vapor or other greenhouse gases absorb infrared light.

Definition of infrared radiation It is a type of radiant energy that we perceive as heat but which is invisible to the human eye (sometimes referred to as infrared light). Two of the most notable examples of infrared radiation are the sun and fire.

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Explanation:

Acceleration and the other term are the same physical phenomenon - just with opposite affects. Acceleration increases velocity, while the other term that begins with the letter "R" reduces.

***(Brainly's language filter is blocking the use of the second term in my answer.)***

Acceleration is defined as the rate of change of the velocity of an object per unit of time...

\(a = \frac{dv}{dt}\)

Acceleration would be a POSITIVE (+) quantity, while the r-word would be negative (-).

The average emf induced in the coil is 0. 533 V. The average emf induced in the coil can be calculated using Faraday's law of electromagnetic induction. The formula for the average emf induced in a coil is given by:

E = N * (ΔΦ / Δt)

where E is the average emf, N is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the time interval.

In this case, the number of turns is 80, and the time interval is 0.0600 s. The change in magnetic flux can be calculated by finding the initial and final flux values.

The initial flux is given by Φ1 = B * A * cos(θ1), where B is the magnetic field, A is the area of the coil, and θ1 is the angle between the coil and the magnetic field.

The final flux is given by Φ2 = B * A * cos(θ2), where θ2 is 90 degrees since the coil is perpendicular to the field.

Substituting the values into the formula, we have:

\(E = 80 * (Φ2 - Φ1) / Δt\)

Calculating the values, we find:

\(Φ1 = (1.10 T) * (0.25 m) * (0.40 m) * cos(37.0°) = 0.536 WbΦ2 = (1.10 T) * (0.25 m) * (0.40 m) * cos(90°) = 0.110 WbΔΦ = Φ2 - Φ1 = 0.110 Wb - 0.536 Wb = -0.426 Wb\)

Substituting the values into the formula, we get:

E = 80 * (-0.426 Wb) / 0.0600 s = -0.568 V

Taking the absolute value, the average emf induced in the coil is 0.568 V or approximately 0.533 V.

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Answer:

power

power is the rate of doing work. It is equivalent to an amount of energy consumed per unit time. In the SI system, the unit of power is the joule per second (J/s).

Answer:

Calcium chloride is very effective, working at temperatures below most products, and is significantly more effective than sodium chloride because of its ability to extract moisture from its surroundings and to cause exothermic or heat generating reactions.

Explanation:

Hope this helps

Any item which is at rest has zero momentum. At there is no "mass in motion" or momentum for the object. For the purpose of comparing total momentum of two objects, mass and velocity are both significant factors.

A force that is delivered to an item for a predetermined amount of time will cause its momentum to change. In the other words, a force that is unequal causes an object to accelerate whether it is moving faster or slower. when an object's velocity is slowed by an external force.

P is equivalent to F tan. The impulse-momentum theorem equation is the one that is in question. The impulse is denoted by F nets t F net t. The impulse is defined as the average net external force multiplied by the time it takes for such force to act. It is comparable to the shift in momentum.

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(a) The time it takes for the car to overtake the truck can be calculated by dividing the distance between them by the relative velocity of the car with respect to the truck.

(b) The initial distance between the car and the truck can be determined from the given information, which states that the car's front bumper is 24.0 m behind the truck's rear bumper.

(c) When the car and the truck are abreast, their speeds will be equal.

(d) By sketching the position of each vehicle as a function of time on a graph, the relative positions and movements can be visualized.

(a) To find the time it takes for the car to overtake the truck, divide the initial distance between them by the relative velocity. The relative velocity can be obtained by subtracting the truck's velocity from the car's velocity.

(b) The initial distance between the car and the truck is given as 24.0 m, with the car positioned 24.0 m behind the truck's rear bumper.

(c) When the car and the truck are abreast, their speeds will be equal. This occurs at the moment when the car overtakes the truck.

(d) By sketching the position of each vehicle as a function of time on a graph, the movement of the car and the truck can be visualized. The x-axis represents time, and the y-axis represents position. The graph will show how the positions of the car and the truck change over time, with the car gradually catching up and overtaking the truck.

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Answer:

Three laws

Explanation:

Three laws of motion that Newtown developed.

The frequency of the rotation having a radius of 1.1 m is 3.53 rpm

The rotational acceleration = 1.4 g

The radius of the rotation = 1.1 m

The frequency of the rotation can be found using the formula,

         ω = √(α/r)

where ω is the frequency of the rotation

           α is the acceleration of the rotation

           r is the radius of the rotation

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

       ω = √ (1.4 x 9.8 / 1.1 )

           = √ (13.72 / 1.1)

           = √12.47

       ω = 3.53

Therefore the frequency of the rotation is 3.53 rpm

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The Rydberg formula and the Bohr model of the hydrogen atom can be used to determine the frequency of an electron travelling in the third orbit of a hydrogen atom.

The Rydberg formula gives the wavelength (λ) of the emitted or absorbed light when an electron transitions between two energy levels in a hydrogen atom:

1/λ = R_H * (1/n_1^2 - 1/n_2^2)

where R_H is the Rydberg constant for hydrogen (approximately 1.097 x 10^7 m^-1), n_1 and n_2 are the principal quantum numbers representing the initial and final energy levels of the electron, respectively.

In the Bohr model, the energy levels of the hydrogen atom are given by:

E_n = -13.6 eV / n^2

where E_n is the energy of the electron in the nth orbit and n is the principal quantum number.

Since we are interested in the third orbit (n_1 = 3), we can calculate the wavelength of the emitted or absorbed light when the electron transitions to the third orbit from a higher energy level (n_2 > 3).

Once we have the wavelength, we can use the speed of light equation:

c = λ * ν

where c is the speed of light (approximately 3 x 10^8 m/s) and ν is the frequency of the emitted or absorbed light.

By rearranging the equation, we can solve for the frequency:

ν = c / λ

Substituting the values into the equation, we can calculate the frequency of the moving electron in the third orbit of the hydrogen atom.

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The beam of light travels in a straight line, with electromagnetic waves oscillating transversely. The speed of light is constant, and the wavelength and frequency of light waves determine its color and other properties.

The beam of light consists of electromagnetic waves traveling in a straight line. These waves oscillate perpendicular to the direction of propagation, creating a transverse wave. Light waves travel at a constant speed in a vacuum, which is approximately 299,792 kilometers per second (or about 186,282 miles per second). This speed is often denoted as "c" and is a fundamental constant in physics.Light waves exhibit characteristics such as wavelength and frequency. Wavelength refers to the distance between successive wave crests or troughs, while frequency is the number of wave cycles passing through a point in one second. The speed of light is related to its wavelength and frequency through the equation c = λν, where c represents the speed, λ is the wavelength, and ν is the frequency.

Different colors of light are characterized by their wavelengths, with shorter wavelengths corresponding to higher frequencies and vice versa. For example, red light has a longer wavelength and lower frequency compared to blue light.

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The bottleneck event of the plants in an area results in secondary succession.

A bottleneck is an event that drastically reduces the population size of an organism. The bottleneck may be caused by various events, such as an environmental disaster, the hunting or habitat destruction that results in the deaths of organisms.

Secondary succession is a type of ecological succession in which plants and animals recolonize a habitat after a major disturbance such as a devastating flood, wildfire, landslide, lava flow, or human activity e.g., farming or road or building construction.

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1. C. It is one of the richest in natural resources.

2. D. Conflict often occurs over natural resources.

3. C. earthquake

4. B. earthquake

5. C. switching to a more plant-based diet

A seismograph is a device that is used to detect and measure seismic waves caused by earthquakes or other ground vibrations. Therefore, a seismograph helps predict and record earthquakes.

.

The Pacific Ocean and the Ring of Fire are known for having a high frequency of earthquakes and volcanic eruptions, which are some of the biggest hazards in this region.

The most effective way for an individual on their own to reduce climate change is by switching to a more plant-based diet.

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To make 4 amperes flow through a resistance of 20 ohms, 80 volts of voltage are required.

Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. In other words, the greater the voltage, the greater the current that flows through a given resistance.

The voltage required to make 4 amperes flow through a resistance of 20 ohms can be calculated using Ohm's law:

Voltage (V) = Current (I) x Resistance (R)

Therefore, V = 4 A x 20 Ω = 80 V

So, to make 4 amps flow through a resistance of 20 ohms, 80 volts of electricity are required.

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No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.

This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.

i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.

ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.

The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.

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