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

What is the female counterpart of sperm?
the vagina
the ovum
the zygote
the epididymus

Answers

Answer:

The zygote

Explanation:

The sperm is what fertilized the egg and the zygote is basically part of the female egg cell.

Hope this Helps!Hope this Helps!:)

Answer:

the answer is the ovum on edge

Explanation:

Which list of elements is placed in order from most reactive to least reactive?
A. K, Ca, Kr, Ge
B. K, Ca, Ge, Kr
C. Ca, K, Kr, Ge
D. Ge, Kr, Ca, K

Answers

All four elements given in the answer choices are on the same period. The least reactive element should be Kr, since it is a noble gas. By that fact alone, B would be the correct answer.

B is also correct as non-d-block metals increase in reactivity from left to right on along a period. The order of the metals (Ge is often considered a metalloid) conforms with that trend.

what does chucking do for your memory

Answers

Answer:

By separating disparate individual elements into larger blocks, information becomes easier to retain and recall. This is due mainly to how limited our short-term memory can be. ... Chunking allows people to take smaller bits of information and combine them into more meaningful, and therefore more memorable, wholes.

A piano tuner detects 3 beats per second when she is tuning a string to a tuning fork of frequency 440 Hz. When she tightens the string, which increases the frequency of the string, the frequency of the beats initially goes down, and as she keeps increasing the frequency of the string, the frequency of the beats starts to increase. What was the original frequency of the string

Answers

Answer:

[tex]F_o=437Hz[/tex]

Explanation:

From the question we are told that:

Frequency of Turning fork [tex]F_t=440Hz[/tex]

Number of beats detected [tex]n=3[/tex]  

Generally the equation for Original frequency [tex]F_o[/tex] of the string  is mathematically given by

[tex]F_o=F_t-F_b[/tex]

Where

[tex]F_b[/tex] Beat frequency

[tex]F_b=1Hz*n\\F_b=1Hz*3[/tex]

Therefore

[tex]F_o=440-3[/tex]

[tex]F_o=437Hz[/tex]

A block is pulled
7.00 meters along a
horizontal
surfacewith a
constant 30.0
newton force.
Calculate the
workdone on the
block.

Answers

The work done by the force for pulling a block till 7 meter along horizontal direction by using force of 30 N is, 210 joules.

What is work ?

In physics, the work is defined as product of Force in the direction motion into distance travelled.

The work done on the block is given by the formula:

Work = Force x Distance x Cos(θ)

where Force is the force applied on the block, Distance is the distance the block is moved, and θ is the angle between the force and the direction of motion.

Given that,

F = 30 N

Distance = 7 m

W = ?

The force is constant and the surface is horizontal,

so the angle θ is equal to 0°, and cos(0°) is equal to 1.

Therefore, the work done on the block can be calculated as:

Work = Force x Distance x Cos(θ)

         = 30.0 N x 7.00 m x 1

         = 210 J

So, the work done on the block is 210 Joules.

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Select the correct answer.
Which of the following best describes an intermediate runner?

A. Able to alternate running 2 minutes, walking 1 minute

B. Able to run a mile without stopping

C. Able to run at least 30 minutes, 3-5 times a week

D. Able to run 1 mile in 10 minutes or less

Answers

I would say answer D

A is very easy, so that's off the table, while be is a little too advanced for intermediate, and C is way to advanced for intermediate.

So yeah, D

It would probably be D

How can we calculate gravitational acceleration?

Answers

The mathematical formula for gravitational force is F=GMmr2 F = G Mm r 2 where G is the gravitational constant.

6.) What is
the voltage
across a 50
ohm circuit
element that
draws a current of 2 A?

Answers

Answer:

100 V

Explanation:

Hi there!

Ohm's law states that [tex]V=IR[/tex] where V is the voltage, I is the current and R is the resistance.

Plug the given information into Ohm's law (R=50, I=A)

[tex]V=IR\\V=(2)(50)\\V=100[/tex]

Therefore, the voltage across this current is 100 V.

I hope this helps!

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

Which statements about magnetic fields are true? Choose more than one answer.
They attract certain metals
They require electric currents
They exert force
Electricity can create them
They grow stronger with distance from the magnet
They all have the same strength

Answers

Answer: THEY ATTRACT CERTIN METALS

THEY REQUIRE ELECTRIC CURRENTS

THEY EXERT FORCE

Explanation:

The true statements about magnetic fields are

They attract certain metals.They require electric currents.They exert force.

What is magnetic fields?

The magnetic field is the area around a magnet in which the effect of magnetism is felt. The magnetic field is used to describe how the magnetic force is distributed in the space around and within something magnetic in nature.

A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

The properties of magnetic field are

The direction of the magnetic field lines is from the south pole to the north pole.Magnetic field lines never intersect with each other.Magnetic field lines form a closed-loop.Field lines have both direction and magnitude at any point on the field.

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The universe could be considered an isolated system because (2 points)

A: many people think that no energy or matter exists outside the universe

B: energy and matter are created in the universe and flow freely into and out of the universe

C: energy is created outside the universe and matter is created within the universe

D: energy is created in the universe and matter is transferred out of the universe

Answers

the answer is B ......

Please Help!!!

For A&B

Answers

Answer:

A. 40N

B. 5m/s

Explanation:

A.

Impulse is equal to the area under the curve of a force vs. time graph. In this case, the area is in the shape of a triangle with base 8 (12-4=8) and perpendicular height 10:

Area of a triangle = (1/2)bh

A=(1/2)*8*10

=40

ANSWER: 40N

B.

Impulse = mass * velocity

40 = 8v

v = 5

ANSWER: 5m/s

A 4.0 kg mass has a velocity of 10 m/s to the EAST. The 4.0 kg mass is subjected to a constant net force of 16 N to the WEST for 3.0 sec. What is the velocity of the 4.0 kg mass at the end of the 3.0 sec interval?​

Answers

Answer:

Explanation:

A 4.0 kg mass has a velocity of 10 m/s to the EAST. The 4.0 kg mass is subjected to a constant net force of 16 N to the WEST for 3.0 sec. What is the velocity of the 4.0 kg mass at the end of the 3.0 sec interval?​

The final velocity of the 4.0 kg mass is equal to 22 m/s.

What is Newton's second law of motion?

According to Newton’s second law of motion, the force acting on the object equals the mass of that object times its acceleration for a constant mass.

The acceleration of an object depends on two variables, one is the mass of the object and another is the net force acting. The acceleration of an object is directly proportional to the force acting on the body and inversely proportional to its mass.

The equation of Newton’s second law can be represented as follows:

F = ma  

or, a = F/m

Given, the initial velocity of the mass, u = 10m/s

The mass, m = 4.0 Kg

The force acting on the mass, F = 16 N

The acceleration of the mass will be: a = F/m

a = 16/4 = 4 m/s²

From the 1st equation of motion: v = u + at

The velocity after t = 3 sec can be calculated:

v = (10) + (4) × (3)

v = 10 + 12

v = 22 m/s

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In free fall, where does an object have the slowest speed? *
O Vi
O vf
Vtop
O more than one is correct

Answers

Answer:

vi and vtop = 0

Explanation:

Free fall is a motion of a body in which the only force acting of the body is the Gravitational Force. In this motion body moves with constant acceleration i.e acceleration due to gravity.

When an object is thrown downward from a non zero height say h the motion is referred to as free fall with initial velocity of object beign zero. Hence v=0

In free fall, an object have the slowest speed at the beginning of the motion which is at the top before the object starts to fall. [tex](V_i \ and \ V_{top})[/tex]

During a free fall, the object subjected to only acceleration due to gravity. The velocity of object increases as the object moves downwards and eventually becomes maximum before the object hits the ground.

The final velocity of the object is the greatest while the initial velocity of the object at the top before the free fall is the slowest.

[tex]V_f > V_i \ or\ V_{top}[/tex]

Thus, we can conclude that during a free fall, the velocity of the object increases downwards. The slowest speed can found at the beginning of the motion.

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How do scientists use light years?to report report distances distances between between objects objects in in space space and and study study the the early early universeuniverseto to measure measure how how fast fast an an object object is is traveling traveling and and determine determine the the origins origins of of the the universeuniverseto to measure measure the the amount amount of of light light that that a a star star produces produces and and determine determine how how hot hot it it is is burningburningto to determine determine the the age age of of an an object object in in space space and and study study how how it it was was formedformed

Answers

Answer:to measure distances between objects and to study the early universe

Explanation:

I had this question and I got it right

1. An atom that loses electrons has a ________________________ charge and an atom that gains
electrons has a ___________________________ charge.
Charged atoms are called ___________________.
2. What is an insulator? Give 4 examples.
3. What is a conductor? Give an example.
4. How can we move electrons from one place to another? What actually causes the electrons to
move?
5. Static electricity is ______________________________________________________________________
_______________________________________________________________________________________
6. Explain the attraction and repulsion of charges.
7. Why does a balloon stick to the wall?
8. Why does your hair stand up when you take off your hat?
9. Why do you get a shock when you walk across a carpet?
10. When is static electricity most noticeable and why?
11. State the Principle of Conservation of Charge.

12. The invisible electric force field around charged objects depends on __________________________,
__________________________, and _____________________________.
13. What is the relationship between the charges and the field strength?
What is the relationship between the field strength and the distance between the charges?
1. What is DC?
What is AC?
2. Name 3 ways to get DC.
3. What is an electrical circuit?
4. What is voltage?
What is current?
What is resistance?
What causes heat and light in a wire?
COPY THE TABLE comparing water in a hose-DC-units
5. Which electricity do we use in our homes?
CLICK ON ALTERNATING CURRENT
1. Explain AC.
2. Who invented the light bulb?
3. Who really invented AC?
4. Who discovered the advantages of AC over DC?
5. How is AC made?
6. What is the main advantage of AC over DC?

Answers

I’ll start you off

1. Positive, negative, ions

Answer a few yourself and I’ll come back and help some more.

What is the mass of an object if a force of 17 N causes it to accelerate at 1.5 m/s/s?

Answers

Answer:

11.34 i think

Explanation:

Suppose a proton ( = 1. 67×10^−27 kg) is confined to a box of width = 1. 00×10^−14 m (a typical nuclear radius).
1. What are the energies of the ground and the first excited states?
2. If the proton makes a transition from the first excited state to the ground state, what are the energy and the frequency of the emitted photon?

Answers

Answer:

22e837281949222324

Explanation:

what is molecular force and gravitational force with their examples .​

Answers

Answer:

Gravitational force is the force of attraction on a body by earth. Example - Leaves and fruits fall from a tree downwards towards the ground due to the gravitational pull. ... T-shirt for is basically the force Of attraction On a body And this force of attraction on the body is by Earth.

Intermolecular forces act between molecules. ... Intermolecular forces are weaker than intramolecular forces. Examples of intermolecular forces include the London dispersion force, dipole-dipole interaction, ion-dipole interaction, and van der Waals forces.

Explanation:

Explanation:

I am sure you are Clear. Thanks.

what is the movement of energy by waves​

Answers

Answer; thermal energy

Explanation:

'Wave' is a common term for a number of different ways in which energy is transferred: In electromagnetic waves, energy is transferred through vibrations of electric and magnetic fields. In sound waves, energy is transferred through vibration of air particles or particles of a solid through which the sound travels.

How to write the formula for water

Answers

H2O is how you write the formula for water

Aliyah and Kofi are in the middle of a rally. Aliyah hits the ball to the right side of the court as Kofi is moving to the left side of the court. Kofi must
change directions quickly and stretch his arm to be able to return the ball, which combination of skill-related and health-related components of fitness
must he use?
O Agility and Flexibility
O Balance and Cardiorepiratory Endurance
O Power and Muscular Strength
O Reaction Time and Muscular Endurance

Answers

Answer:

Agility and Flexibility.

Explanation:

Agility for change of direction and Flexibility to stretch his arm

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:

The speed of a wave is 1500 m/s. What is the frequency of the wave if the wavelength is 2 m?
O 1502 Hz
O 750 Hz
O 375 Hz
O 300 Hz

Answers

Answer:

750 Hz

Explanation:

speed = freq * wl

 1500 =  f  * 2

    f = 750 Hz

Questlon 6 of 10
In these magnets, why do the poles closest to each other attract?
S
S
O A. The magnetic field is stronger between two like magnetic poles.
B. The magnetic fields of the two magnets repel each other.
C. The opposite poles of the two magnets push the magnets
together.
D. The two poles closest to each other are opposite magnetic poles.

Answers

Answer:

The two poles closest to each other are opposite magnetic poles

Explanation:

Just took the test

Answer:

its all of them

Explanation:

Atoms of the gas neon

Answers

Explanation:

Neon is an atom with atomic number ten. Its atomic weight is 20.179 which cause it to have ten neutrons and ten protons in its nucleus and ten electrons outside. Neon; Neon, Ne, is a colorless inert noble gas and it is also the second lightest noble gas.

The red shifting of the nebula that Slipher observed was also referred to as what?

Answers

Answer:

Slipher developed spectrographic methods that allowed researchers to see a Doppler effect in the distances of what were then called “spiral nebula,” what we today call galaxies. Simply put, by measuring the longer wavelength red shift (objects moving away) and shorter wavelength blue shift (objects moving closer), Slipher demonstrated that the universe was not static.

Explanation:


A person is in a car crash and is not wearing their seatbelt. They hit their
head on the windshield. Explain why this is an example of Newton's First
Law

Answers

He still move deforce stopping this call law of inertia depend on the mass of object

Water enters a shower head
through a pipe of radius 0.0112 m
at 3.75 m/s. It flows through 25
small holes, each of radius
0.001200 m. At what speed does
water come out of the shower
head? (Don't forget, there are 25
holes, not 1.)
(Unit = m/s)

Answers

Answer:

13.1

Explanation:

thats what i put in for acellus and its right

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)

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