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

(03.02 LC)
Which of the following is a complementary base pair for DNA?
O Adenine and cytosine
O Guanine and cytosine
O Adenine and guanine
O Cytosine and thymine

Answers

Answer:

O Adenine and guanine

Explanation:

i think tell me if im rong

Guanine and cytosine are complementary base pairs for DNA, hence option B is correct.

What is the complementary base pairing in DNA?

Adenine and thymine are joined by two hydrogen bonds, whereas guanine and cytosine are joined by three hydrogen bonds.

Base pair of DNA. The nitrogen-containing bases adenine (A), thymine (T), and cytosine (C), as well as guanine (G), the couple together under normal conditions. The structure of DNA is created by the binding of these base pairs.

In order to construct the helical structure of DNA, complementary base pairing is crucial because it enables the base pairs to be placed in the most energetically advantageous manner.

Therefore, due to the fact that it permits semiconservative replication, it is also crucial in replication.

Learn more about DNA, here:

https://brainly.com/question/22761986

#SPJ2

If an object is falling towards the ground with a force of 98 N and accelerates at a rate of 9.8 m/s², what is the mass of the object (mass will be in the unit of kilograms)?​

Answers

Answer:

960.4

Explanation:

98x9.8=960.4

What is the smallest part of a compound called?
element
O
molecule
O
atom
O
mixture
o

Answers

Answer:

Here is your answer,thanks for using brainly!

Explanation:

B:Molecule

Molecules usually consist of 2 atoms linked together,however some molecules  consist of thousands of atoms!

Here is a list of smalles to largest with the answers provided

Molecules

Atoms

Elements

Mixtures

Hope this helped

Plz mark brainliest

Dont forget to smash that heart at the bottom <3

Have a great day!

What is a common noun?

Answers

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER

An example of a neologism from the Internet is:
A. jam (meaning "to play music").
B. peeps (meaning "people" or "the friends you hang out with").
C. bromance (meaning "a close male friendship").
D. defriend (meaning "to remove someone from a friends list").

Answers

Answer: peeps

Explanation: meaning “people” or “the friends you hang out with”

Answer: Defriend (meaning "to remove someone from a friends list").

Explanation: Just in case someone comes by again like I did..

A 55-kg person lands on firm ground after jumping from a height of 2.8 m.

Answers

Explanation:

What are you searching for?

Potential energy?

Answer:

3018.4

Explanation:

So this velocity just before reaching the ground, the final equals square root of two times G times H. So gs 9.8 m per second squared H is 2.8 m. So it gives the velocity of 7.41 m per second squared. That's the velocity right before touching the ground. So to find the impulse required to come to rest here, we just do mass times the velocity minus zero. So zero is the final momentum, final velocity zero. So that makes the final momentum zero. So we multiply the mass with the velocity before touching the ground and after. And subject zero. That's the momentum after touching the ground. So we multiply mass 55 kg. At 7.41 velocity we got 407.45.  kilograms meters per second of impulse. we know that the force will be larger for stiff stiff flex compared to bend flex. Because the stiff flex. Bring the object to rest in a short amount of time and distance. So in part C, that's calculate for stiff flex. The stopping distance, Delta Y. Is 0.1 m. This one centimeter. So we can calculate the acceleration of the body when it comes to rest.  From the moment it touches the ground.  equals v squared over two times Delta Y. So  we use the square is 54.88. The 7.41 square divided by two times 0.01 gives us an explosion of 2744 m/s square. So you multiply this acceleration by the mass to get the force so force equals mass times acceleration gives us a large force,  159 20 newtons. Then for bent legs, repeat the same process with a different delta Y, delta Y of 200.5 m. So that's 50 centimeters and calculate acceleration the same process. Just use a different value of delta Y. And we get as much smaller acceleration 54.88 m per second square. And the force experience would just be mass times acceleration. That gives us 3018.4 newton's a lot smaller than for stiff flex.

Why does the sun have less gravitational pull on planet far away like Pluto?

Answers

Answer:

Because the planet is far away from the sun

Explanation:

The closer the planet is to the Sun, the greater the pull of the Sun's gravity, and the faster the planet orbits.

While, over here the Pluto is very far away from the Sun so it will have very little gravitational  pull and still keeps revolving around the Sun

Pls Mark Brainliest


If your hammer develops a loose head, you can tighten it by banging
it on the ground. A little physics secret though - it's better to bang
the hammer head up rather than head down. Explain, using inertia.

Answers

weight  from the hammer head makes the inertia better making it better with the head up it. the body has less weight the inertia force isn't as good. (or something like that.)

Michael stands upright and allows his right arm to swing back and forth, naturally and without forcing, like a pendulum. He measures the time for 21 oscillations (complete cycles) to be 28.1 s. Assume his arm (length L) behaves as a simple pendulum, with an effective length of 2/3 L. Find the length of his arm, L.

Answers

Answer:

ytdgnrjjksmzjj3hfgbdhehkj jfjbcjbwbjrhrhb jdhbbjhhrhrhhjrjjr jfjnekrj

The length of his arm, L = 0.67 m.

What is time period?

A basic pendulum consists of a point mass hung by a tightly supported, weightless, and inextensible string.

T = 2π√ L/g, where L is the pendulum's length and g is the acceleration brought on by gravity, is the formula for a pendulum's period.

Given in the question  the time for 21 oscillations (complete cycles) to be 28.1 s. Assume his arm (length L) behaves as a simple pendulum, with an effective length of 2/3 L.

T = 2π√ L/g

T = 2π√2l/3g

T = 28.1/21

T = 1.33

2π√2l/3g =  1.33

l = .67 m

The length of his arm, L = 0.67 m.

To learn more about time refer to the link:

brainly.com/question/13764813

 #SPJ5

You're out for run. Your initial velocity is 1.5 m/s. Suddenly a crazy dog starts chasing you and you accelerate to a velocity of 3 m/s. It takes you 10 seconds to find a safe place to hide from the Chihuahua. What was your displacement?

Show your work for displacement.

Include units.

Answers

The displacement of your motion during the entire motion is 22.5 m

The given parameters;

your initial velocity, u = 1.5 m/syour final velocity , v = 3 m/stime of motion, t = 10 s

The displacement of your motion during the entire motion is calculated from your average velocity and time of motion.

This magnitude of this displacement is calculated  as follows;

[tex]s = (\frac{u+ v}{2} )t\\\\s = (\frac{1.5 + 3}{2} ) \times 10\\\\s = 22.5 \ m[/tex]

Thus, the displacement of your motion during the entire motion is 22.5 m.

Learn more here: https://brainly.com/question/17345815

A skier accelerates to a speed of 56 m/s over a distance of 151 m. Determine the acceleration (assume uniform) of the skier.

Show your work for acceleration.

Include Units

Answers

The acceleration of the skier over the distance traveled is 10.38 m/s²

The given parameters;

Initial velocity of the skier, u = 56 m/sDistance covered by the skier, s = 151 m

Acceleration is defined as the change in velocity per change in time of motion.

The magnitude of the acceleration of the skier is calculated as follows;

[tex]v^2 =u^2 - 2as\\\\[/tex]

where;

v is the final velocity at the end of 151 m = 0

[tex]0 = 56^2 -(2\times 151)a\\\\302a = 3136\\\\a = \frac{3136}{302} \\\\a = 10.38 \ m/s^2[/tex]

Thus, the acceleration of the skier over the distance traveled is 10.38 m/s²

Learn more here:https://brainly.com/question/20453233

What is the word meaning for every for each

Answers

Used for talking about the relationship between 1 # or an amount of another

Answer:

There grateful for each and every aportunity they've been given

The neurocognitive model of dreaming argues that dreams:
A. reflect the waking concerns and preoccupations of the dreamer.
B. represent the fulfillment of repressed wishes and urges.
C. have no meaning whatsoever and simply reflect random neural firings in the brainstem.
D. contain images that disguise the dream's true psychological meaning.

Answers

Dreams Often Feature Intense Emotions

Dreams Often Feature Intense EmotionsIn some instances, these emotions can become so intense that they interrupt the dream or cause the dreamer to wake abruptly. The three most common emotions that become intensified by dreams are anxiety, fear, and surprise.

dream

dreamFirst, let examined the definition of dream according to Sigmund Freud “dream is the disguised fulfilment of a repressed wish. Dreams are constructed like a neurotic symptom: they are compromises between the demands of a repressed impulse and the resistance of a censoring force in the ego” (Freud, 28).

Bright light therapy is used to gradually shift sleeping patterns to what we consider normal. For treatment, the timing of light exposure is critical. For DSPS, the light must be delivered to the retina as soon after spontaneous awakening as possible to achieve the desired effect.

Dreams Frequently Include Strong Emotions:Dreams Frequently Include Strong Emotions These feelings can occasionally get so strong that they wake the dreamer up suddenly or cause the dream to be interrupted. The three feelings that are most frequently made stronger by dreams are anxiety, terror, and surprise.The use of bright light therapy progressively changes sleeping patterns to what we regard as normal. The time of light exposure is crucial for treatment. To obtain the intended outcome in DSPS, the light must be supplied to the retina as quickly as feasible following spontaneous awakening.

What is the physiological dream theory?According to physiological theories, when we sleep, the brain interprets bodily processes as our dreams. According to psychological ideas, dreams are a mechanism for us to process problems in our life. According to physiological theories, dreams are the result of neuronal activity in the brain.

Which of the following refers to the manifest content of a dream?Sigmund Freud defined the manifest content of a dream as the portion of the dream that is recalled after waking up.It is a dream's remembered plot, complete with imagery, ideas, and contents. Sometimes the manifest material may contain remnants of the experiences and obsessions from earlier days.

Learn more about psychological here:

https://brainly.com/question/12011520

#SPJ2

In two paragraph of lines each, describe how you
would simplify, for your
grade 10 learners the
following topics
1.1 Electricity and magnetism.

Answers

The question above wants to assess your ability to simplify complex matters. In that case, I can't answer this question for you, but I'll show you how to answer it.

First, you should research electricity and magnetism. This research will make you understand the subject and all its elements. You can do this research in textbooks and digital platforms aimed at children and teenagers since these media usually present subjects in a more simplified way.

After doing this research, you will be able to write a text about electricity and magnetism as follows:

Present the main focus of this subject.Present the elements that make up this subject.Present how this subject applies in the real world.Present the importance of this subject in human life and society.

Remember that you must use simple language, without the use of technical terms, but with common terms.

More information:

https://brainly.com/question/14870576?referrer=searchResults

what is the best name for binary compound of nitrogen and oxygen

A . Nitrogen oxide
B. Nitrogen oxnie
C.oxide nitrogen
D.Nitride oxygen ​

Answers

A) nitrogen oxide, I did this last year in chemistry so I think this is the answer.

What is needed to complete the equation representing cellular respiration?
+ Oxygen - Carbon Dioxide + Water + Energy
O Glucose
Nitrogen
O Sunlight
ОАТР

Answers

Answer is sunlight

Explanation :

Answer:

glucose is needed

Explanation:

I just learnt it last week and here is what it says in my notes.

Oxygen is in,

water is in,

carbon dioxide is in,

engery(which is sunlight) is in,

what is not in is glucose.

A 5.7 kg block slides along a horizontal surface toward a horizontally mounted spring with a spring constant of 150 N/m. At one instant, the block is 5.0 m from the end of the spring and has a speed of 12.0 m/s. If the surface is frictionless, what is the maximum compression of the spring

Answers

Hi there!

We can use the conservation of energy:

Ei = Ef

The initial energy involves kinetic energy while the final energy involves maximum elastic potential energy, so:

1/2mv² = 1/2kx²

We can cancel out the 1/2s for ease of solving:

mv² = kx²

Plug in given values to solve for x:

√(mv²/k) = x

√(5.7)(12²)/(150)) = x

x = 2.339 m

Which of these describes Kepler’s third law of orbital motion?(1 point)

T3 ∝a2

T∝a2

T2 ∝ a3

T2∝a

Answers

Answer:

1) which planet's orbit was Kepler first studying when he began to developed his laws of orbital motion? Answer: Mars

2) which is the best description of Earth's orbit? Answer: almost circular

3) which orbital shape did most scientists in the early 1600s think the planets of our solar system have? Answer: circular

4) which of these describes Kepler's third law of orbital motion? Answer T^2 OX a^3

5) which statement describes Kepler's third law of orbital motion? Answer The square of orbital period is proportional to the cube of the semi-major axis.

Explanation:

I just took the connexus quick check and got a 100%

T2 ∝ a3 is the relation that describes Kepler’s third law of orbital motion, therefore the correct answer is option C.

What are Kepler's laws of planetary motion?

There are three laws of Kepler as follows,

The orbit of the planet is elliptical and the sun is present at one of the two foci of the elliptical route followed by the rotating planet.

A line segment linking a planet and the Sun covers equal regions throughout equal intervals of the time period.

The semi-major axis length of an elliptical planet's orbit is equal to the square of the planet's orbital period.

T2 ∝ a3 is the relation that describes Kepler’s third law of orbital motion,

Thus, the correct answer is option C.

To learn more about Kepler's laws of planetary motion, refer to the link;

brainly.com/question/1455457

#SPJ2

In the free-body diagram, what is the net force? (Hint-Trig.- SOH-CAH-TOA)

a. 35 N right

b. 28 N right

c. 75 N

Answers

I would say about 35 n right

In terms of energy transfer, how is a rise in
temperature different from a drop in
temperature?

Answers

Answer:

Let's look deeper into it.

Explanation:

Heat energy corresponds to the transfer of thermal energy between two given objects. Temperature itself gives off the measurement of how much thermal energy any given object has.

The higher the measurement, the more heat there is. The lower the measurement, the less heat there is.

A projectile is launched
horizontally from a cliff
top at 16 m/s.
Determine the values
of the velocity
components at 1-
second intervals of
time.

Answers

The vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.

The given parameters;

initial horizontal velocity, vₓ = 16 m/sinitial vertical velocity, [tex]v_y =0[/tex]time interval 1 seconds

The components of the velocity can be horizontal or vertical velocity.

The vertical component of the velocity is affected by acceleration due to gravity while the horizontal component of the velocity is not affected by gravity.

The vertical component of the velocity is calculated as;

[tex]v_y = v_0_y -gt\\\\v_y = 0 - (1\times 9.8)\\\\v_y = -9.8 \ m/s[/tex]

The horizontal component of the velocity is constant since it is not affected by gravity.

The horizontal component of the velocity = 16 m/s

Thus, the vertical component of the velocity after the given time is -9.8 m/s while the horizontal component of the velocity is 16 m/s.

Learn more here:https://brainly.com/question/20349275

What is three famous people you know

Answers

Answer:

Martin Luther King Jr., Mark Zuckerburg, Jeff Bezos

Explanation:

First 3 people to come to my head.

Kim Kardiashin West Kanye West Stormy

Question
What is the total distance traveled if you drive 5.0 miles to school, and then drive 5.0 miles back home?

10.0 miles
10.0 miles

25.0 miles
25.0 miles

0 miles
0 miles

not enough information

Answers

Answer:

10 miles

Explanation:

b/c distance all what we go 5+5=10

How mass and volume of matters are connected to density?
This is a physics question not maths

Answers

Answer:

An object's density is the ratio of mass to volume of an object. The mass is how much it resists acceleration when a force is applied to it and generally means how much of an object or substance there is. Volume describes how much space an object takes up.

please help ASAP! I will give brainiest
Highlight the either increasing or decreasing to complete the sentence to demonstrate the relationship between the variables and the reaction rate.
(Increasing/Decreasing) the temperature, increases the reaction rate. (Increasing/Decreasing) the surface area, increases the reaction rate. (Increasing/Decreasing) the concentration, increases the reaction rate.

Answers

Answer:

1. Increasing

2. Decreasing

3. Increasing

Explanation:

GUYS I NEED HELP RIGHT NOW

Answers

b you should know this no need to explain if you dont know well I'm sorry its b

Say hi :P...................................................................

Answers

HELLOOOOOOOOOOOOOOOOOOOOO

I need help, Will mark branliest!

Answers

I believe you are correct with C.

A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long.
A.) calculate its translational speed when it reaches the bottom.
B.) Calculate its rotational speed when it reaches the bottom.
C.) what is the ratio of translational to rotational kinetic energy at the bottom?

Answers

Answer:

Explanation:

It depends on the construction of the sphere.

Let's ASSUME it is uniform construction with a moment of inertia (2/5)mR²

The Change in potential energy will equal the change in kinetic energy

mgh = ½mv² + ½Iω²

mgh = ½mv² + ½((2/5)mR²)(v/R)²

2gh = v² + 2/5v²

2gh = 7/5v²

v = √((10/7)gh)

v = √((10/7)(9.81)(10.0sin30.0))

A) v = 8.37 m/s  

B) ω = 8.37/0.345 = 24.3 radians/s

C)  ½mv² / ½Iω² = mv²/Iω² = mv²/((2/5)mR²)(v/R)² = 5/2

bro someone please help me, i need to turn this in by tomorrow first class of the day. if you can answer this page for me, please answer with a short sentence or paragraph if needed. thank you and please help me.

Answers

Answer: Sorry you I don't umderstand

Explanation:

Other Questions
There are 109 nanoseconds in 1 second.Find the number of nanoseconds in 5 minutes, giving your answer in standard form. He like country music? A.do B.does C.have D.has What MUST always be true of the masses of the red and blue liquids?.They will NEVER equal the mass of the purple liquid to the right of the arrow.B.They will ALWAYS equal the mass of the purple liquid to the right of the arrow. Which of the following is the correct sequence of events in aerobic cellular respiration?A) Glycolysis, Fermentation, Krebs CycleB) Krebs Cycle, Glycolysis, Electron transportC) Glycolysis, Krebs cycle, Electron TransportD) Krebs Cycle, Electron Transport, Glycolysis Amortization ______. (Check all that apply.) Multiple select question. is calculated using the straight-line method spreads the cost of intangible assets to expense over their useful lives is used for expensing the cost of land over its useful life is in accordance with the matching principle 8- Most gymnosperms have reproductive structure called conestruefalse Roadrunner speeds up from 2m/s to 10m/s in a distance of 10m. What is his acceleration? Which of the following is an example of "sedentary?" PLEASE HELP SUPER FAST What monosaccharide is contained in all disaccharides? You need to travel 260 miles. Driving at a constant speed of 70 miles per hour, will it be possible to make this trip in 3 hours? yes or no (please answer quick please) Aluminum foil crunched between teeth with gold fillings (which one is negatively charged and which one is positively charged?) PLEASE HELP I NEED THISSSSAn explanation of the format, organization, and structure of a problem and solution text. PLEASE ANSWER ASAP WITH WORLD HISTORY WILL GIVE Brainliest! :) Mr. Robins earns a commision on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr.Robins commision rate If 2x-8=3-4x then x= Frederick II of Prussia, Joseph II of Austria, and Catherine II of Russia were enlightened absolutism whose main goal was to. A: abolish the system of serfdom. B: safeguard the welfare of the state. C: Reinforce the supremacy of the nobility. D: uphold the rights of the working class. Please HelpWhat did the second Continental Congress Accomplish?It successfully appealed for Parliament to help in the war against Spain.It refused to close the harbor in Boston.It convinced King George to reduce taxes on the colonies.It sent Benjamin Franklin to France to negotiate a treaty. 11 pointFind the measure of the missing angle.?110 Write a function rule in terms of x and y for the line that contains the points (-7.4, -9.7) and ( 8.4, 6.1) .