A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min, how fast (in m/min) is the water level rising when the water is 10 cm deep

Answers

Answer 1

Answer:

0.238 m/min

Explanation:

The volume of water in the trough V =Ah' where A = area of cross-section = area of isosceles trapezoid = 1/2(a + b)h where a = length of bottom of isosceles trapezoid = 40 cm = 0.4 m, b =  length of top of isosceles trapezoid = 100 cm = 1 m and h = height of isosceles trapezoid = 60 cm = 0.6 m. So,

A = 1/2(a + b)h = 1/2(0.4 m + 1 m)0.6 m = (1.4 m)0.3 m = 0.42 m² and h' = height of water level in trough = H - h" where H = length of trough = 10 m and h" = depth of water level in trough = 10 cm = 0.1 m

So, V = Ah'

V = A(H - h") = A(10 - h")

Now, the rate of change of volume of the trough with respect to time dV/dt = d[A(10 - h")]/dt

dV/dt = -Adh"/dt

dh"/dt = -dV/dt/A

Since dV/dt = 0.1 m³/min, substituting the other variables into the equation, we have

dh"/dt = -dV/dt/A

dh"/dt = -0.1 m³/min/0.42 m²

dh"/dt = -0.238 m/min

This is the rate at which the depth is decreasing

Since the height h' = 10 - h"

dh'/dt = d(10 - h")/dt

= -dh"/dt

= -(-0.238 m/min)

= 0.238 m/min

So the water level is increasing at a rate of 0.238 m/min


Related Questions

Lithium was one of the metals studied by the American physicist Robert Millikan in his research on the photoelectric effect. When illuminated with blue light of frequency 6.64 x 10" Hz, the photoelectrons ejected from a lithium surface have a maximum kinetic energy of 0.332 eV. What is the threshold frequency for lithium? For this problem, let the value of Planck's constant, h, be 6.63 x 10J's

Answers

Answer:

 f = 7.9487 10¹³ Hz

Explanation:

The photoelectric effect was correctly explained by Einstein assuming that the radiation is composed of photons, which behave like particles.

           hf = K + Ф

It indicates the frequency and the kinetic energy, let's look for the work function

          Ф = hf - K

let's reduce the magnitudes to the SI system

          K = 0.332 eV (1.6 10⁻¹⁹ J / 1 eV) = 0.5312 10⁻⁻¹⁹ J

let's calculate

          Ф = 6.63 10⁻⁻³⁴  6.64 10¹¹ - 0.5312 10⁻¹⁹

          Ф = 4.40 10⁻²² - 0.5312 10⁻¹⁹

          Ф = 5.27 10⁻²⁰ J

for the minimum frequency that produces photoelectrons, the kinetic energy is zero

           hf = Ф  

           f = Ф / h

           f = 5.27 10⁻²⁰ / 6.63 10⁻³⁴

           f = 7.9487 10¹³ Hz

41. 2072 Set E Q.No. 11 A source of sound produces a note of
512 Hz in air at 17°C with wavelength 66.5 cm. Find the ratio
of molar heat capacities at constant pressure to constant
volume at NTP. Densities of air and mercury at NTP are
1.293 kg/m3 and 13600 kg/m3 respectively.
Ans: 1.36​

Answers

A. is the answer for this

As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.01 mm apart and position your screen 3.09 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 639 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe

Answers

Answer:

[tex]0.00195\ \text{m}[/tex]

[tex]0.00293\ \text{m}[/tex]

Explanation:

m = Order = 1

D = Distance between screen and slit = 3.09 m

d = Slit distance = 1.01 mm

[tex]\lambda[/tex] = Wavelength = 639 nm

Distance from the first bright fringe from the central bright fringe is given by

[tex]y=\dfrac{m\lambda D}{d}\\\Rightarrow y=\dfrac{1\times 639\times 10^{-9}\times 3.09}{1.01\times 10^{-3}}\\\Rightarrow y=0.00195\ \text{m}[/tex]

Distance from the first bright fringe from the central bright fringe is [tex]0.00195\ \text{m}[/tex]

Distance from the second dark fringe from the central bright fringe is given by

[tex]y=(m+\dfrac{1}{2})\dfrac{\lambda D}{d}\\\Rightarrow y=(1+\dfrac{1}{2})\dfrac{639\times 10^{-9}\times 3.09}{1.01\times 10^{-3}}\\\Rightarrow y=0.00293\ \text{m}[/tex]

Distance from the second dark fringe from the central bright fringe is [tex]0.00293\ \text{m}[/tex].

Which statement best explains the difference between longitudinal and transverse waves?


A: Longitudinal waves have troughs, while transverse waves have crests.

B: Longitudinal waves transfer energy while transverse waves do not

C: Longitudinal waves produce energy, while transverse waves consume energy

D: Particles in longitudinal waves travel in the direction of the wave, while particles in transverse waves travel perpendicular to the wave.
pls put the letter in the answer

Answers

Answer:

the answer here would be A

The statement that best explains the difference between longitudinal and transverse waves is D: Particles in longitudinal waves travel in the direction of the wave, while particles in transverse waves travel perpendicular to the wave. The correct option is D.

What is a wave?

A wave is a disturbance that propagates through space and time, transferring energy without transferring matter. Waves can be found in various forms, such as sound waves, light waves, and water waves.

A transverse wave is a type of wave where the particles of the medium vibrate perpendicular to the direction of wave propagation.

In other words, the motion of the particles is at right angles to the direction of the energy transfer. A common example of transverse waves is light waves.

A longitudinal wave is a type of wave where the particles of the medium vibrate parallel to the direction of wave propagation. The motion of the particles is in the same direction as the energy transfer. An example of longitudinal waves is sound waves.

In a longitudinal wave, particles in the medium oscillate back and forth along the direction of the wave, creating areas of compression and rarefaction. In a transverse wave, particles in the medium oscillate up and down, creating crests and troughs.

Therefore, the correct statement is Particles in longitudinal waves travel in the direction of the wave, while particles in transverse waves travel perpendicular to the wave(D).

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Why is no image formed when an object is at the focal point of a converging lens?

Answers

Answer:

the refracted rays neither converge nor diverge. After refracting, the light rays are traveling parallel to each other and cannot produce an image.

Explanation:

Which of these is an example of tertiary prevention?
A. Getting screened for skin cancer
B. Avoiding smoking and drinking alcohol
C. Dialysis for damaged kidneys
D. Washing hands

Answers

Explanation:

because a tertiary prevention is when the person is already infected with the disease

Because a tertiary prevention is when the person is already infected with the disease

A coaxial cable consists of an inner cylindrical conductor of radius 3 cm on the axis ofan outer hollow cylindrical conductor of inner radius 7 cm and outer radius of 10 cm.The inner conductor carries current 4.5 A in one direction, and the outer conductor carries current 8 A in the opposite direction. What is the value of the magnetic field atfollowing distances from the axis of the cable:

Answers

Answer:

Hello your question lacks some information and that is the distance

At r = 0.150 m (outside the cable)  note :  (μ 0 = 4π × 10-7 T · m/A)

answer: 4.7 * 10^-6 T

Explanation:

R1 = 0.03 m

R2 = 0.07 m

R3 = 0.1 m

Inner conductor carries current = 4.5A in one direction

outer conductor carries current = 8A in opposite direction

Determine the value of magnetic field at r = 0.150 m

net current = 8 - 4.5 = 3.5 A

∴ β ( value of  magnetic field )

= ( 4π * 10^-7 * 3.5 ) / ( 2π * 0.150 )

= 4.4*10^-6 / 0.94

= 4.7 * 10^-6 T

Question 6.Why does a ball dropped from a certain height not bounce back 1 point
to the same height it was dropped from? *

Answers

Answer:

Because the coefficient of restitution is less than 1.

This coefficient is 1 for a perfectly elastic collision.

Some of the energy of the fall is absorbed by the ball so the ball cannot return to its original height.

Also, you have the effects of air resistance and some energy absorption of the the reflecting surface.

Calculate the net force for each of the following:
a.
20 N to the right and 30 N to the right:

Answers

Answer and Explanation:

A.

There would be a net force of 50 N going to the right.

Since both forces are going right, they add onto the force amount.

#teamtrees #PAW (Plant And Water)

A woman has one damaged fallopian tube. The damage completely blocks the opening of the tube at the ovary. How will this most likely affect her fertility?
Her likelihood of conceiving will be reduced by at least 50%.
Her eggs, if fertilized, will not implant properly.
Her eggs will not mature inside the ovary.
Her chances of conceiving twins will be doubled.

Answers

Answer:Her likelihood of conceiving will be reduced by at least 50%.

Explanation:

EDGE 2020

Answer:

Her likelihood of conceiving will be reduced by at least 50%

Explanation:

took the test on edge, got it right

In the nitrogen cycle, plants take in nitrates and convert them into

Answers

It is then converted into a ammonia.

explain why when water is poured on a dry class slab it spreads uniformly but it forms spherical droplets on a waxed glass slab​

Answers

Answer and Explanation:

The texture of the slabs affects the type of bonding the water molecules has with each other.

The dry glass slab allows the water to form cohesive bonds with each other, making the water stick to itself and not the slab, which makes it flow uniformly, or regularly.

The Waxed glass slab has a different texture that forms an adhesive-type bonding with water, making the water stick to the slab at certain parts/forming the spherical droplets.

#teamtrees #PAW (Plant And Water)

Read each example and identify whether the data are observations or inferences from observations. The fish’s ventral fin measured 8.5 cm long.

Answers

8.5 cm long just bc we love this

Answer:

Observation

Inference

Inference

Observation

Inference

Explanation:

Please PLEASE HELP ASAP
A student placed four objects on a plastic tray: a rock, an eraser, a wood block, and an ice cube. The student slowly lifts the tray and measures the height at which each object begins to slide in order to compare the friction of each object. The table above shows the results. In a separate experiment the student used the same objects and tray, but glued a piece of gritty sandpaper to the tray. What results would be expected? A) The items would slide faster at the same heights. B) The items would start to slide when the tray is not lifted as high. C) The items would not slide at all, no matter how high the tray is raised. D) The tray would need to be raised higher before the items start to slide.

Answers

Answer:

D) The tray would need to be raised higher before the items start to slide.

Explanation:

The tray would need to be raised higher due to the gritty sandpaper causing it to have more grip or fraction between the two surfaces. In the first experiment it would have a smooth surface to slide across but in the second experiment it would have a rougher surface to slide across.

Example: It would be like taking two different kinds of shoes like tennis shoes and football cleets. Then seeing which one has more traction when going up a hill.

Hope this helps!!

please help asap

Ms. Brando’s students are studying forces. She has assigned a fun task: designing a balloon car. The students must design a car and see which model will travel the greatest distance. The basic design of the cars can be seen here. First the balloon is inflated and attached to the car. It is important to keep the balloon closed. Once attached to the car, the stem of the balloon is opened and air rushes out through the straw. The air goes one way; the car moves in the other direction. There are no restrictions on the design other than the students must use the materials given to them by Ms. Brando. What is the source of the force that moves the car? A) The circumference of the balloons. B) The friction between the wheels and the track surface. C) The air rushing out of the balloon through the straw. D) The mass of the car: the lighter the car the farther it moves.

Answers

Answer: a

Explanation:

when a car dives on a road it a makes friction but it need something to push it or start it which is the balloon in this example

(sorry if im wrong)

You and a friend are playing with a bowling ball to demonstrate some ideas of Rotational Physics. First, though, you want to calculate the Rotational Kinetic Energy of the bowling ball as it rolls down a sidewalk without slipping. This means it has both linear kinetic energy and rotational kinetic energy. A bowling ball can be modeled as a solid sphere rotating about its center. This bowling ball has a mass of 6.40 kg and a radius of 0.130 m. You'll need to look up the equation for the Moment of Inertia in your textbook. It is rotating with an angular velocity of 16.0 radians / second in the counter-clockwise (or positive) direction. You can use this to determine the linear velocity of the bowling ball (since it is rolling without slipping). What is the Total Kinetic Energy of the bowling ball

Answers

Answer:

K_{total} = 19.4 J

Explanation:

The total kinetic energy that is formed by the linear part and the rotational part is requested

         [tex]K_{total} = K_{traslation} + K_{rotation}[/tex]

let's look for each energy

linear

        [tex]K_{traslation}[/tex] = ½ m v²

rotation

        [tex]K_{rotation}[/tex] = ½ I w²

the moment of inertia of a solid sphere is

       I = 2/5 m r²

we substitute

       [tex]K_{total}[/tex] = ½ mv² + ½ I w²

           

angular and linear velocity are related

           v = w r

we substitute

           K_{total} = ½ m w² r² + ½ (2/5 m r²) w²

           K_{total} = m w² r² (½ + 1/5)

           K_{total} = [tex]\frac{7}{10}[/tex] m w² r²

let's calculate

           K_{total} = [tex]\frac{7}{10}[/tex]   6.40 16.0² 0.130²

           K_{total} = 19.4 J

Why are objects that fall near Earth's surface rarely in free fall?
O Gravity does not act on objects near Earth's surface.
O Air exerts forces on falling objects near Earth's surface.
O The objects do not reach terminal velocity.
O The objects can be pushed upward by gravity.​

Answers

Answer:

Air exerts forces on falling objects near earth's surface

Explanation:

Falling objects are typically subject to air resistance which prevents the force of gravity on the object

A 30 kg child went down a 10 m tall slide. Assuming no energy was lost as friction, what was the child's velocity when he reached the
bottom?
I

Answers

14 m/s or 50km/h. See the details in the attached picture.

You are pulling with 57 N on a heavy bookshelf, but the bookshelf doesn't move. What is the force of static friction in Newtons acting on the bookshelf?​

Answers

Answer:

57N

Explanation:

Since the bookshelf isn't moving, the force you're exerting on the shelf must be equal to the force of static friction

So the force of static friction is 57N

Answer:57

Explanation:

After the initial experiment, students wondered how a person's weight would influence the results. They conducted a second experiment to determine if the mass of an object affected friction, assuming the types of surfaces remained constant. A spring scale was attached to a wooden block (1 kg). The block was placed on a wooden board and the spring scale was used to pull the block. The magnitude of the force required to start the block moving was recorded in the data table. The experiment was repeated using two, three, and four blocks. The data can be seen in the data table at the top of the page. What is the relationship between static friction and weight?

Answers

Answer:

The greater the weight of the person, the more static friction.

Explanation:

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Will give brainliest!!

How much KClO3 is needed to make a saturated solution in 100 mL of water at 70⁰ C?

Answers

Answer:

iam not sure but I think its NaNO3




HELP PLEASE
Two 24 ohm resistors are in parallel and placed across a 12 V battery. What is the current in each branch of the circuit?
20 A
0.0125 A
0.5 A
.

Answers

Answer:

.5 A

Explanation:

Speed and time play a major factor in:
Scrimmage
Tactical movement
Situation awareness
Drill

Answers

Answer:

Tactical movement

Explanation:

Speed and time play a significant factor in Tactical movement. The correct option is B.

What is a Tactical movement?

Tactical movement refers to the coordinated and strategic movement of military units or teams to achieve a specific objective. It is a fundamental aspect of military operations and involves the use of various tactics and techniques to move troops and equipment safely and efficiently on the battlefield.

Tactical movement can involve various modes of transportation, such as on foot, in vehicles, or by air. It also involves the use of cover and concealment to avoid detection by the enemy, and the use of communication and signal systems to coordinate movements and maintain situational awareness.

The success of the tactical movement depends on many factors, including the terrain and weather conditions, the size and composition of the units involved, the available resources and equipment, and the tactics and strategies employed by both friendly and enemy forces. It requires careful planning, training, and execution to ensure that the movement is successful and achieves the desired outcome.So, tactical movement is an essential component of military operations, and plays a critical role in achieving victory on the battlefield.

Here in the Question,

Tactical movement refers to the movement of military units or teams in a coordinated and strategic manner to achieve a specific objective. In such movements, speed and time are critical factors because they determine the success or failure of the mission. The speed of movement can help to surprise the enemy, take advantage of a weakness in their defense, or seize a key position before they can respond. Time is also important because the longer it takes to achieve the objective, the more likely the enemy is to detect and counter the movement. Therefore, tactical movement requires careful planning and execution to ensure that the right units move at the right speed and at the right time to achieve the desired outcome.

Therefore, the correct option is B i.e Tactical movement.

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Which of these is one of the five determinants of health?
A. The gender of your doctor
B. Your access to health services
C. The type of sport you play
D. The amount
your insurance deductible

Answers

Answer:

B

Explanation:

describe the human condition before Science and technology was practice.​

Answers

Their condition was very very bad .doing everything by themselves

why does ice melt faster in water than in oil when both liquids are at the same temperature​

Answers

Water has a high specific heat capacity. Oil has a smaller heat capacity.

Answer:

Because water has a high specific heat, each little bit of water flowing past can give lots of thermal energy to the ice cube. Oil has a smaller specific heat, and so more oil has to flow past to give the same amount of heat energy to the ice cube. ... Colder oil will melt ice less rapidly than warmer oil or water

An example of conservation of angular momentum is jumping on a Merry-Go-Round. Watch this video (it starts part way through but the only thing you miss is the people pushing the Merry-Go-Round) to see someone jumping on a Merry-Gr-Round in motion like this problem. You can model the Merry-Go-Round as a solid disk with a radius of 2.70 m and a mass of 77.0 kg. Initially the Merry-Go-Round has an angular velocity 7.40 radians / second. Then the person jumps on and change the Moment of Inertia of the system. The person lands on the outer edge of the Merry-Go-Round and has a mass of 58.0 kg. What is the final angular velocity of the system after the person jumps on

Answers

Answer:

ωf = 2.95 rad/sec

Explanation:

Assuming no external torques acting while the person jumps on, total angular momentum must be conserved.Angular momentum for a rotating rigid body can be expressed as follows:

       [tex]L = I * \omega (1)[/tex]

where I = moment of inertia regarding the rotating axis, and ω= angular velocity.Since total angular momentum must be conserved, this means that the following equality must be satisfied:

       [tex]L_{o} = L_{f} (2)[/tex]

The initial angular momentum, taking into account that the Merry-Go-Round can be modeled as solid disk, can be expressed as follows:

        [tex]L_{o} = I_{o} * \omega_{o} = \frac{1}{2}* M* R^{2}* \omega_{o} =\\ \frac{1}{2} * 77.0 kg* (2.70m)^{2}* 7.40 rad/sec = 2076.92 kg*m2*rad/sec (3)[/tex]

The final angular momentum, is just the product of the new moment of inertia times the final angular velocity.The new moment of inertia, is just the sum of the original moment of inertia I₀ and the moment of inertia due to the person that jumps on.Assuming that we can treat him as a point mass, his moment of inertia is just the product of his mass times to the distance to the axis of rotation (the radius of the Merry-Go-Round) squared.So, we can write the new moment of inertia If as follows:

       [tex]I_{f} = I_{o} +( m_{p} * R^{2}) = (\frac{1}{2} * M* R^{2}) + ( m_{p} * R^{2}) =\\ (\frac{1}{2} * 77.0 kg* (2.70m)^{2}) +( 58.0 kg * (2.70m)^{2}) = \\ 280.67 kg*m2 + 422.82 kg*m2 = \\ 703.49 kg*m2 (4)[/tex]

The final angular momentum can be written as follows:

        [tex]L_{f} = I_{f} * \omega_{f} (5)[/tex]

Since (3) and (5) must be equal each other, replacing If by its value from (4) in (5), we can solve for ωf, as follows:

       [tex]\omega_{f} = \frac{L_{o} }{I_{f}} = \frac{2076.92kg*m2*rad/sec}{703.49kg*m2} = 2.95 rad/sec (6)[/tex]

HELP PLZZZZZ
Vitiligo is an example of a condition that comes from
A. your habits
B. your predisposed genetics
C. your social network
D. your physical environment

Answers

B. your predisposed genetics

Answer:

the answer is b vitiligo is a genetic skin condition

An object has a mass of 50 kg on Earth. What would be the mass of that object in the Moon

Answers

It would be 50 kg.

Mass doesn't change.

Weight can.

How does Newton’s first second and third laws apply to eating your breakfast

Answers

Answer:

Newton's third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects. However much you push your fork in the food, that much a dent it will cause.

Explanation:

Answer:

¡I hope it helps you! :) .................

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Please hurry I need this soon and no links Why the mixed economy succeeded when collectivization had failed Summarize the main ideas of this lesson by answering the question below. What steps did the U.S. Government take to return the nation to "normalcy" after the war? what is the importance of Business Development Services? a400 12Mb290 12The question below refers to the circuit shown in the image--12.0 yIf the voltage across the 400 resistor is 7 V, what is the voltage across the 290 Q resistor?O 5VO 7VO 9VO 12 V12345 7. Geometry Which set of ordered pairs can beconnected in order to form a right triangle?A (-1,3), (FT, -1), (2, -1)B (-4, 0), (0, 1), (1, -2)C (2, 2), (2, -2), (-2, -2), (-2, 2)D (0,5), (-3, 3), (3, -3) Four out of 25 people are left-handed. In a school of 400 people, how many would you expect to beleft-handed What is Miss Temple's reaction when she first meets Jane ? 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Upload your interviews to the My Assignments folder. Select the link entitled Assignment 07.04 The English Reformation (Interviews with the Past) and submit your assignment. The interviews are worth 100 points. Interview Questions:1. What were your major accomplishments?2. What were your mistakes or regrets?3. How did you influence others during and beyond your life?4. Tell me about your family. Who were your parents? Did you have any siblings? Were you married? Did you have children? If so, what were their names?5. Were you a religious person? If so, what were your beliefs?6. If you were alive today, what changes would you like to make in your community?7. [Come up with your own question specific to this historical figure and insert it here.]Rubric: Use the grading rubric below to guide you as you complete your timeline. The rubric specifies the expectations for completing the assignment, as well as the quality expected to earn the designated grade. 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Difficulty in communicating ideas. More than 5 errors in grammar or spelling rendering meaning unclear. How did China change during the song dynasty. Please do not send files or pictures. Answer by writing the sentence out. No need to rewrite question, just make sure to number the answers. Thanks!!