A dairy farmer notices that a circular water trough near the barn has become rusty and now has a hole near the base. The hole is 0.29 m below the level of the water that is in the tank. If the top of the trough is open to the atmosphere, what is the speed of the water as it leaves the hole

Answers

Answer 1

Answer:

2.385 m/s

Explanation:

Here there is a transformation of potential energy of the water at the top to Kinectic energy at the hole

This can be expressed as

Potential energy= Kinect energy

mgh= 1/2m v²

Where m= mass of water

h= Lenght below the level of the water that is in the tank.

v= the speed of the water as it leaves the hole

g= acceleration due to gravity= 9.81m/s

Here there is 'm' at both sides which can cancelled beach other out.

Then we have

gh= ¹/₂v²

making v² subject of the formular

v²=gh/(¹/₂)

v=√(2gh)

V=√2g h

V= √(2×9.81×0.29)

V=2.385 m/s

Therefore, the speed of the water as it leaves the hole is 2.385 m/s


Related Questions

If the amount of energy needed to operate a 100 W light bulb for one minute were used to launch a 2-kg projectile, what maximum height would the projectile reach, ignoring any resistive effects?

a. 20 m
b. 50 m
c. 100 m
d. 200 m
e. 300 m

Answers

Given that,

Power of the light bulb = 100 W

Mass of the projectile = 2 kg

Time, = 1 minute = 60 s

We need to find the maximum height that would the projectile reach. We know that the rate at which the work is done is called power. It can be given by the formula as follows :

[tex]P=\dfrac{W}{t}[/tex]

W is work done,

[tex]P=\dfrac{mgh}{t}[/tex]

h is maximum height reached

[tex]h=\dfrac{Pt}{mg}\\\\h=\dfrac{100\times 60}{2\times 9.8}\\\\h=306.12\ m[/tex]

So, the projectile will reach up to a height of 306.12 m.

(PLZ HELP) The force on a rocket car stays constant to 25,000 N. Initially the car is traveling at 125 m/s. Over the course of the next 7.50 s, the mass of the car decreases by 440 kg. What is the final velocity of the car?

Answers

GREETINGS!

Answer is 553 m/s

By the formula of,

       Vf = Vi + at

  where,

             Vi is initial velocity

             a is acceleration due to gravity

             t is time.

As we know that,

                            F = ma

so,

                   [tex]a = \frac{F}{m}[/tex]

put this in the final velocity formula,

                  Vf = Vi + (F/m)t

                  Vf = 125 + (25000/440)7.5

                  Vf = 551.13 m/s

HOPE IT HELPS!

ON YOUR OWN
Express the following in numerals. Remember to leave a space after
each period.
(a) Thirty-two thousand four hundred one
(b)Ninety thousand twelve
(c) Sixty-five thousand eight hundred ten
(d) One hundred thousand​

Answers

Answer:

32401

92012

65810

100000

What is the definition of the concept of a species in Bacteria based on? Explain your answer, taking into consideration that these organisms do not reproduce sexually.

Answers

The emerging phylo-phenetic bacterial species concept posits that a bacterial species is a monophyletic and genomically coherent cluster of individual organisms that show a high degree of overall similarity with respect to many independent characteristics, and is diagnosable by a discriminative phenotypic property.

how do you perceive the importance of online safety security ethics and etiquette​

Answers

Answer:

is called online etiquette, or netiquette for short.

...

Here are some tips to help you get started:

Create Complex Passwords.

Boost Your Network Security.

Use a Firewall.

Click Smart.

Be a Selective Sharer.

Protect Your Mobile Life.

Practice Safe Surfing & Shopping.

Keep up to date.

GUYS I NEED HELP WITH THIS

Answers

Answer:

The total kinetic energy must be greater than the momentum of either ball

Explanation:

In order to solve this problem, we must clarify the following conditions, the balls are in motion that is, there is kinetic energy, the kinetic energy is a scalar magnitude, therefore this energy is greater than zero.

But however momentum is equal to zero, momentum is a vector quantity, that is, these velocities have a direction, momentum is defined as the product of mass by Velocity.

P = m*v (momentum lineal)

where:

P = lineal momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

Since the masses of the balls are equal, we have:

m1 = m2

therefore:

m1*v1 + (m2*v2) = 0 (total momentum)

For the sum to be equal to zero, besides the equivalation of the masses, the velocities must also be equal, but the velocities must be of opposite sign, to meet equality to zero.

m1*v1 - m2*v2 = 0

And the kinetic energy of a body is defined by means of the following equation

Ek = 0.5*m*v²

Since the magnitude of the velocities is greater than zero, so that there is movement, we can say that the kinetic energy is much greater than zero, as well as greater than the total linear momentum

1. Student observed ten antinodes on a string of length 1.70 m under tension produced by a mass of 0.22 kg. The string linear density is 1.3 gram/meter. What is the difference between the transverse wave velocity calculated from the string material properties and the one following from the standing wave configuration

Answers

Answer:

velocity of standing wave = 0.34 * frequency  

Velocity of transverse wave =  40.724 m/sec

Explanation:

Given data

The linear mass density = 1.3 * 10^-3 kg/m

number of antinodes = 10

Total string length = 1.7 meters

first we have to calculate the tension in the string

= Mg = 0.22 * 9.81 = 2.156 N

next we will determine the velocity of the wave

= [tex]\sqrt{\frac{T}{linear mass density} }[/tex]  = [tex]\sqrt{} \frac{2.156}{1.3*10^{-3} }[/tex]   = 40.724 m/sec

The distance between two antinodes = 1.7 / 10 = 0.17 m

next we calculate the wavelength = distance between antinodes * 2 = 0.34m

There is no difference between the transverse wave velocity calculated from the string material properties and the one following from the standing wave configuration and this is because the Frequency of vibration of the standing wave is not given

Difference between the transverse wave velocity is 0.34f m/sec.

Wave velocity based problem:

What information do we have:

Number of antinodes = 10

Length of string = 1.7 m

Mass = 0.22 kg

String linear density = 1.3 gram/meter

Using equation v = √( T / μ )

v = √(mg / μ)

v = √(0.22 × 9.8) / (1.3 × 10⁻³ )1/2

v = 40.7 m/sec

Wavelength of the wave in string λ = 2L / n

Wavelength of the wave in string λ = (2 × 1.7) / 10

Wavelength of the wave in string λ = 0.34 m

Wave velocity v = fλ

Wave velocity v = 0.34f m/sec

Find out more information about 'velocity'.

https://brainly.com/question/862972?referrer=searchResults

Which event is associated with convergent boundaries

A. Formation of island chains
B. Creation of mid-ocean ridges
C. Creation of convection currents
D. Formation of rift valleys

Answers

I’m pretty sure it’s a. :)

The even that is associated with convergent boundaries is formation of islands. The correct option is A.

What are convergent boundaries?

A convergent boundary occurs whenever two plates come around each other.

The implications of colliding plates can cause one or both plates' edges to buckle up into mountain ranges, or one plate to bend down into a deep seafloor trench.

A chain of islands, also renowned as an archipelago, is a group of islands that are evenly distributed in lakes, oceans, and rivers inside a defined area. The Islands are connected by a convergent boundary.

The Mariana Islands and Japan are examples of island chains that share convergent boundaries.

Thus, here one can conclude that the event that is associated with convergent boundaries is the formation of Island chains means the option A is correct.

For more details regarding convergent boundaries, visit:

https://brainly.com/question/1114405

#SPJ6

The heart has four one-way valves, which open and close with each heartbeat,
True
False

Answers

It’s true, my dad works on the heart every single day, trust me ik the answer
It is true I know about hearts

Two capacitors are identical except that one is filled with air and the other with oil. Both capacitors carry the same charge. The ratio of the electric fields Eair/Eoil is:

a. Between 0 and 1
b. 0
c. 1
d. Between 1 and infinity
d. None of these

Answers

Answer: d. Between 1 and infinity

Explanation:

The correct answer is Between 1 and infinity This is so because Eair/Eoil = Kair/koil.

Basically a capacitor is a device which is used or utilized in storing electricity in an electric field. They are found in electrical devices and appliances where they are used in applications.

Energy conversion in an electric circuit consisting of a battery and a load
is.............

A. Heat Energy→ Electrical Energy → Potential Energy

B. Potential Energ → Electrical Energy → Heat Energy

C. Electrical Energy → Potential Energy→ Chemical Energy

D. Potential Energy → Heat Energy→ Electrical Energy


please please please i need heeelp​

Answers

Answer:

[tex]option \: c. \: is \: correct[/tex]

Explanation:

[tex]C. \\ Electrical \: Energy → Potential \: Energy→ Chemical \: Energy[/tex]

♨Rage♨

Answer:

 B that is Potential Energy → Electrical Energy → Heat Energy because, the energy is always stored in the form of potential energy because it is not in static form, so in this case it is going to be in a form of CHEMICAL POTENTIAL ENERGY now when it is connected with the load, the energy stored in the battery will move in the form of electrical energy, now you should remember Electrical energy is a type of kinetic energy caused by moving electric charges, so if it says kinetic energy, you should it is talking about electrical energy. So finally the static electrical energy is converted in the form of heat energy. We could take the EXAMPLE of heater.

In the heater chemical potential energy is converted into Heat Energy.

Earth attracts apple from the tree and it falls on it but the earth does not move

towards the apple. Why?​

Answers

Explanation:

Earth has gravity and a apple does not thats why the earth is not pulled by apples

Two objects are moving in the x, y plane as shown. If a net torque of 44 N∙m acts on them for 5.0 seconds, what is the change in their angular momentum?

Answers

Answer:

190kg*m^2/s  

Explanation:

Torque can be defined as the rate of change of angular momentum

Step one:

We need to solve for the total angular momentum acting on them

the expression for the angular momentum is given as      

L=mrv-----1    

where

L=angular momentum

m=mass

v=velocity

r=radius

Step two:

For the first object

m=6kg

r=1m

v=2m/s

L1=6*1*2= 12kg*m^2/s

For the second object

m=3kg

r=2m

v=3m/s

L2=3*2*3= 18kg*m^2/s  

Step three:

Total angular momentum= L1+L2= 12+18= 30kg*m^2/s        

τ=44Nm

time= 5 secs

ΔL=τ*time  

ΔL=44*5=220N-ms

hence the angular impulse=220Nms

Change in their angular momentum= Angular impulse-angular momentum

Change in their angular momentum= 220-30

Change in their angular momentum=190kg*m^2/s  

What is the maximum torque on a 213-turn square loop of wire 18.0 cm on a side that carries a 65.0-A current in a 1.60-T field

Answers

Answer:

The maximum torque on the loop is 717.73 N.m

Explanation:

Given;

number of turns, N = 213 turns

side of the square loop, L = 18 cm = 0.18 m

current in the loop, I = 65 A

magnetic field though the loop, B = 1.6 T

Area of the loop, A = L² = (0.18 )² = 0.0324 m²

The maximum torque on the loop is given by;

τ = NBIA

Substitute the given values and solve for maximum torque (τ);

τ = (213)(1.6)(65)(0.0324)

τ = 717.73 N.m

Therefore, the maximum torque on the loop is 717.73 N.m

Write the following numbers in standard notation:

a. 9 x 103

b. 7.7 x 10-5

c. 4.99 x 10-9

d. 2.25 x 1010

Answers

Answer:

23

Explanation:

What is the distance required to stop (i.e., braking distance) of a passenger car when brakes are applied on a 2% downgrade if that vehicle is traveling at 40 mph

Answers

Answer:

The value is  [tex]d = 161 \ ft[/tex]

Explanation:

From the question we are told that

 The gradient is  G   =  2% = 0.02

   The initial  speed of the vehicle is  u =  40 mph

Generally the breaking speed is mathematically represented as

        [tex]d = \frac{u^2}{30 [\frac{a}{g} - G ]}[/tex]

Here   [tex]\frac{a}{g}[/tex]  is equal to longitudinal friction coefficient which has a value of

      [tex]\frac{a}{g} = 0.35[/tex]

So

      [tex]d = \frac{40^2}{30 [0.35 - 0.02 ]}[/tex]

=>   [tex]d = 161 \ ft[/tex]

A person throws a shot put from height of 5 feet with an initial vertical velocity of 40 feet per second. Use the vertical motion model, h = -16t^2 + vt + s, where v is the initial velocity in feet per second and s is the initial height in feet, to calculate the amount of time the shot put is in the air before it hits the ground

Answers

Answer:

2.6

Explanation:

Describe how carbon and oxygen form carbon dioxide
enter your answer in the space provided

Answers

Answer:

Carbon and oxygen can integrate to form gases. whilst combustion of carbon is complete, i.e. inside the presence of masses of air, the product is particularly carbon dioxide.

Explanation:

your welcome

A swimmer swims 20 m in 40 s. What is swimmer’s average speed?

Answers

Answer:

s = d/t = 20 m/40 s = 0.5 m/s

Explanation:

A swimmer swims a distance of 20 m in a time of 40 seconds, then the speed of the swimmer is 0.5 m/s.

What is Speed?

The speed of an entity, which is a scalar quantity in regular usage and kinematics, can be defined as the size of the change in direction per unit time or the size of the change in position over time for an object. The initial speed is the upper limit of maximum pace as the duration of a time interval gets closer to zero.

The average pace of the object over an amount of time is computed by subtracting its distance traveled by the length of the interval. Velocity and speed are not the same.

As per the given data provided by the question,

Distance, d = 20 meters

Time, t = 40 seconds

Then average speed, s = d/t

s = 20/40

s = 0.5 m/s.

Therefore, the average speed of the swimmer is 0.5 m/s.

To know more about Speed:

https://brainly.com/question/28224010

#SPJ2

A projectile is fired horizontally with a velocity of 48 m/s from the hill 294 m high. Find the time taken to reach the ground.

A. 7.75 s
B. 10.0 s
C. 60.5 s
D. 15.2 s

Answers

Using only vertical components to substitute into the kinematic equation d=Vi(t)+1/2(a)(t)^2, we have:

d=294m
Vi= 0m/s
Vf=?
a=10m/s^ (use 9.81 in substitution for regents physics)
t=?

First let’s solve for Vf using Vf^2=Vi^2+2(a)(d)

Vf^2= (0m/s) + 2(10m/s^2)(294m)
[RAD]Vf^2= [RAD]5880m/s
Vf=76.7m/s

Now we can solve for time using d=Vi(t)+1/2(a)(t)^2

294m=(0m/s)+1/2(10m/s^2)(t)^2
(294m)/5=((5m/s)(t)^2)/5
[RAD]t^2= [RAD]58.8sec
t=7.66 sec

*when using 9.81m/s^2 as (a) value, the answer is 7.75 sec

Suppose that the lab wiring is mistakenly designed so that all the stations are on the same 120Volt circuit. A circuit breaker allows a maximum of 40Amps to be drawn by the lab stations. If each lab station used 550watts or power how many lab stations can be running at once before the circuit breaker cuts off the power

Answers

Answer:

9 stations .

Explanation:

All the stations are connected in parallel .

volt at each station =  120 V .

power used at each stations = 550

power = volt x current

550 = 120 x current

current = 4.5833 A

maximum current allowed by circuit breaker = 40 A

no of lab stations possible = 40 / 4.5833

= 8.72 or 9 .

There are two possible angles, relative to the horizontal, that the ball could have been kicked. What is the smallest of those two angles

Answers

Answer:

The smallest of those two angles is 20°

Explanation:

Here , v = 30m/s

        range = 59m

     Range =[tex]\frac{u^2sin2\theta}{g}[/tex]

           59     =[tex]\frac{30\times30\times sin2\theta}{9.8}[/tex]

              [tex]sin2\theta=\frac{59\times9.8}{30\times30}[/tex]

               [tex]2\theta=40[/tex]°

                [tex]\theta=[/tex] 20°    (since 90° -20°= 70°)

Therefore , the two angles are 20° and 70°

Among the both , the smallest angle is 20°

Please help me!!!!!!!!!!!!!!!!!

Answers

The incorrect statement made is the reflected ray passes through the water and enters the air without bending.

What is reflection?

The light incident on an interface of two medium is reflected back in the same medium with angle of reflection equal to angle of incidence.

The refraction takes place when light enter from one medium to another medium.

Thus, in the given science journal,  reflected ray passes through the water and enters the air without bending is incorrect.

Learn more about reflection.

https://brainly.com/question/15487308

#SPJ1

Is stakeboarding a closed or open system? Pls help

Answers

Answer:

It is a closed system.

Explanation:

The nergy can be transferred, but matter cant be transferred. A skateboarder starts at the top of a long, steep incline. As they skate down the incline, they frequently angles the wheels to decelerate.

An expensive carbon weave 5-spoke bike wheel has total mass M and radius R. If half the mass of the wheel is in the spokes, what is this wheel's moment of inertia?

Answers

Answer: I = [tex]\frac{11}{6}MR^{2}[/tex]

Explanation: Moment of Inertia (I) is the opposition on a rotating body. Generally, is calculated by  [tex]I=2mr^{2}[/tex]

A bycicle wheel is composed of numerous parts and each part has its own moment of inertia.

Moment of inertia for this 5-spoke bike wheel will be:

Inertia of ring: [tex]I_{r}=m_{r}r^{2}[/tex]

For the 5-spoke wheel:

[tex]I_{r}=MR^{2}[/tex]

Inertia of spokes: [tex]I_{s}=\frac{1}{3}n.m_{s}r^{2}[/tex]

where

n is the number of spokes

For the 5-spoke wheel, half of the total mass is the spokes, then:

[tex]I_{s}=\frac{1}{3}.5. \frac{M}{2}R^{2}[/tex]

[tex]I_{s}=\frac{5}{6}MR^{2}[/tex]

Inertia of the wheel is the sum of both inertia:

[tex]I=I_{r}+I_{s}[/tex]

[tex]I=MR^{2}+\frac{5}{6}MR^{2}[/tex]

[tex]I=\frac{11}{6}MR^{2}[/tex]

The moment of inertia of the 5-spoke bike wheel is [tex]I=\frac{11}{6}MR^{2}[/tex]

When an object moves with 2 dimensional motion, what happens to the vertical velocity?

Answers

The velocity in the vertical direction begins to decrease as an object rises; at its highest point, the vertical velocity is zero. As an object falls towards the Earth again, the vertical velocity increases again in magnitude but points in the opposite direction to the initial vertical velocity.

Which statement best explains the pharaoh’s role in the economy?

The pharaoh only taxed the wealthy.
The pharaoh owned all land and wealth.
The pharaoh provided jobs in the kingdom.
The pharaoh oversaw all trade with other kingdoms.

Answers

Answer:

Owned all the land and wealth.

Answer:

The pharaoh owned all land and wealth.

Explanation:

pharaoh's were rulers in ancient Egypt so they were very rich.

Can you have a negative value on a distance time graph?

Answers

Answer:

I'm not quite sure, but i believe you should be able to

Explanation:

l

A car traveling north with a speed of 30miles per hours. How far did it go in 7 hours

Answers

Distance equals rate (m/hr) * time. 210 miles = 30 *7. 210 miles

The car traveling with a speed of 30 miles per hours will travel  210 miles in 7 hours.

What is Speed ?

Speed is a rate of change of distance with respect to time. i.e. v=dx÷dt.

Speed can also be defined as distance over time

i.e. speed= distance ÷ time

it is denoted by v and its SI unit is m/s. it is a scalar quantity.

Speed shows how much distance can be traveled in unit time.

To find dimension for speed is,

from formula

Speed = Distance ÷ Time

Dimension for distance is [L¹] ,

Dimension for Time is [T¹],

Dividing dimension of distance by dimension of time gives,

[L¹] ÷ [T¹] = [L¹T⁻¹]

Dimension for speed is [L¹T⁻¹]

Given,

Speed = 30 miles per hr

Time = 7 hr

Distance = ?

Speed = Distance ÷ Time

Distance = Speed × Time

Distance = 30 × 7 = 210 miles

Hence car will go 210 miles in 7 hours.

TO know more about speed, click :

https://brainly.com/question/13943409

#SPJ3

WILL GIVE BRAINLIESTIn which of the following locations would most likely find parenchyma cells? Leaves roots flowers bark

Answers

Leaves contains the most out of those
Other Questions
How can you solve one-step multiplication and division equations? [What primary impact did the Great Temple's construction have on Jerusalem?It left the entire kingdom deeply in debt.It made the city famous for King Solomory wisdom.It made the city unappealing to foreign visitors.It created controversy over the secular design.Answer this and you get 100 points what is 5 - 10 Contains tires, wheels, engine, transmission, and drive axle assembly. Which statement is true about a unit cube The Spanish club held a car wash to raise money why equals Y=5X represents the amount of money The Y club members made Washing cars identify the constant Proportionality Americans vote more often and for more officers__than the people of almost any other nation PLZZZZZ ANYONE PLZZZZZZZZZZZZZZZZZZZZZZZZZ ANSWER THIS I DO ANYTHING!!! THIS DUETODAY PLZ JUST HELP (93 POINTS)TEXT:Having their guns and hearing nobody, they entered the houses and found the people were gone. (We) took some things but didnt dare stay...We have meant to have left some beads and other things in the houses as a sign of peace and to show we meant to trade with them. But we didnt do it because we left in such a haste. But as soon as we can meet with the Indians, we will pay them well for what we took. We marched to the place we called Cornhill, where we had found the corn before. At another place we had seen before, we dug and found some more corn, two or three baskets full, and a bag of beans...In all we had about ten bushels, which will be enough for seed. It was with Gods help that we found this corn, for how else could we have done it, without meeting some Indians who might trouble us. The next morning, we found...a grave. We decided to dig it up. We found first a mat, and under that a fine bow...We also found bowls, trays, dishes, and things like that. We took several of the prettiest things to carry away with us, and covered the body up again. When last the glorious light of all the sky was underneath this globe, and birds grew silent, I began to settle, as my custom is, to take repose. Before mine eyes were fast closed, me thot I saw a vision, at which my spirit was much troubled, and trembling at that doeful sight a spirit cried aloud, Behold! My son, whom I have cherished; see the paps that gave thee suck, the hands that clasped thee warm, and fed thee oft; canst thou forget to take revenge of those wild people, that hath my monument defaced in a despiteful manner; disdaining our ancient antiquities, and honorable customs. See now the sachems grave lies like unto the common people, of ignoble race defaced. Thy mother doth complain, implores thy aid against this thievish people new come hither; if this be suffered, I shall not rest in quiet within my everlasting habitation.QUESTION: Author says (Quotation)Author means (Interpretation)What do these quotations reveal about the authors perspective? (Elaboration) Author says (Quotation)Author means (Interpretation)What do these quotations reveal about the authors perspective? (Elaboration) What kind of sentence is this? 'Tom and Jerry have a big argument every morning until they decide what to do with their day.' WILL GIVE BRAINLIEST What is an advantage of portrait orientation for portrait photography (photos of people)? The composition shows more context. The composition places attention on the foreground. The composition minimizes the background. All of the above I'm giving away a free brainliest to the hardest question ever (or just a question I don't know the answer to). I do Kumon so I'm pretty good at math (forgot to mention it has to be a math question) so good luck! Instead of typing questions in the chat, please type the question by answering this. :) Have fun! and good luck! Soft skills is one's ability to use skills that are not typically taught in a classroom such as empathy, patience, kindness, etc. What soft skills do you think buyers must have to be effective negotiators jeannette served 2 whole pizza to her friends .each visitor was given 1/4 of the pizza.how many visitors shared the pizza Which decimal is equivalent to 3/8 WHATS THE DEFFINITION OF HELLO??????????? ANSER FAST >:C which is the smallest number that can be divided by 15 16 and 21 leaving a reminder of 3 What is elevation of tammys houseL Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 100 times. The probability that the average transport time was bigger than 27 minutes is A term that refers to someone having extreme pride for one's country is it imperialism or militarism and explain, please thank u PLEASE HELP!!!!!!Which of the following triangles below make a right triangle? Flying against the jetstream, a plane travels 3,132 miles in 9 hours. The same plane flying with the jetstream travels 1.5 times the distance it traveled going against the jetstream. If the plane travels 435 miles per hour, what is the speed of the jetstream?