Two identical cylindrical vessels with their bases at the same level each contain a liquid of density 0.980 g/cm3. The area of each base is 4.85 cm2, but in one vessel the liquid height is 0.954 m and in the other it is 1.58 m. Find the work done by the gravitational force in equalizing the levels when the two vessels are connected.

Answers

Answer 1

Answer:

Explanation:

Potential energy of vessel with liquid upto height .954 m

= mgh where m is mass , h is height of CG of the liquid and g is acceleration due to gravity

mass = volume x density

= cross sectional area x height x density

potential energy = cross sectional area x height x density x g x height / 2

because CG lies at depth of half  the height .

= 4.85 x 10⁻⁴ x .954 x 980 x .954/2 x 9.8

= 2.12  J .

Potential energy of vessel with liquid upto height 1.58 m

= 4.85 x 10⁻⁴ x 1.58 x 980 x 1.58/2 x 9.8

= 5.8 J  

Total energy = 2.12 + 5.8 = 7.92 J

when the level becomes equal , common height becomes

(1.58 + .954 )/ 2 = 1.267 m

potential energy of liquid in two cylinders = 2 x 4.85 x 10⁻⁴ x 1.267 x 980 x 1.267/2 x 9.8

= 7.477 J

Work done by gravitational force

= 7.92 - 7.477 = .443 J  


Related Questions

Details
A 70 kg student rides the Gravitron at a carnival. The
Gravitron has a radius of 2.75 meters. The student feels
a centripetal force of 2100 N. How fast is the Gravitron
spinning?

Answers

I believe the answer your looking for is A

Answer:

1400 math quiz

Explanation:

40s n shorty's

Angelica inhaled deeply into a plastic cup. Why did the cup collapse?

Answers

Answer:

Air vacuum.

Explanation:

Air may seem like nothing, but there are tons of molecules in it. Air takes up space. When Angelica inhales, the air rushes into into and escapes the cup. Since theres no air anymore, the cup collapses because thereis no more space in it. She removes the air from the cup and it creates a vacuum inside, sucking the sides of the cup in.

What type of electromagnetic wave is a TV remote and a cloud

Answers

Answer: Kids learn about the types of electromagnetic waves in the science of physics ... Microwaves are useful in communication because they can penetrate clouds, ... These are the infrared waves that are used in your TV remote to change channels

Explanation:

When will the human brain be fully developed?
A. By age 15
B. The early 20s
C. The late 20s
D. The 30s

Answers

Answer:

C.

Explanation:

The human brain isn't fully developed until 25 years of age. Everything is there except for the frontal cortex, which is the last thing to mature. An immature frontal cortex explains the spectrum of teenage behaviors: it's what makes adolescents adolescent, says Sapolsky.

Answer:

25!

Explanation:

10. A boy weighs 475 N. What is his mass? (acceleration due to gravity on Earth is 9.8m/s2 = g)


Answers

Answer: mass = 48.47 kg.

Explanation:

Formula : Weight = mg  , where m = mass of body , g= acceleration due to gravity .

Given: Weight  = 475 N

[tex]g= 9.8\ m/s^2[/tex]

Substitute all values in formula ,  we get

[tex]475= m \times9.8\\\\\Rightarrow\ m = \dfrac{475}{9.8}\\\\\Rightarrow\ m \approx 48.47\ kg[/tex]

Hence, his mass = 48.47 kg.

I
2800000 kg
Fig. 2.1
The total mass of the rocket and its full load of fuel is 2.8 106 kg. The constant force provided by
the rocket's motors is 3.2 x 107N.
32000000 N.
(a) Calculate
(i) the total weight of the rocket and the fuel.
weight =

Answers

Answer:

W = 27468000 [N] or 27.47 [kN]

Explanation:

The weight of a body is defined as the product of mass by gravitational acceleration.

[tex]W = m*g[/tex]

where:

W = weight of the rocket with fuel [kg]

m = mass = 2800000 [kg]

g = gravity acceleration = 9.81 [m/s²]

Now we can solve:

[tex]W = 2800000*9.81\\W = 27468000 [N][/tex]

Which factor listed below has the greatest effect on the period of a pendulum?

a
Mass of the pendulum
b
Angle of the pendulum
c
Length of the string
d
Amplitude of the oscillations

Answers

Answer:

C

Explanation:

equation for pendulum period is

[tex]\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}}}[/tex]

and it depends only on its length (and gravity which is not on the list of answers)

Lab - Wave Properties in a Spring

11-05
The wave characteristics you will observe in this lab are common to all waves (water, light, sound,
etc.). Use your prior knowledge and the book to fill in the following blanks, then go in the hall and
perform the lab.
A wave is a disturbance that moves through (propagates) through empty space or through a
_____________. There are two types of waves. A _____________________ wave requires
matter to travel. List some examples of this type:
A _____________________ wave does not require a medium. Examples include:
In order to start and transmit a mechanical wave, a source of _____________ and an
_______________ medium are required. A single disturbance is referred to as a
_______________, and a series of disturbances is a wave __________.
The questions in bold are those you should observe directly. Others will be answered using the book.
A. TYPES OF MECHANICAL WAVES: In the hall, stretch the slinky on the floor until it is
stretched (but still loose). Practice sending single pulses down the slinky by popping your wrist
from the center to the side and back to the center. Then send a continuous wave train along as
your partner holds the other end still. A piece of ribbon should be tied to one coil. Watch the
motion of this ribbon (representing a particle) as the wave travels through the spring.
In this type of wave, the particles move (perpendicular, parallel)
to the direction the wave travels. This type of wave is called a __________________ wave.
Its pulses are called ________________ and ________________.
Now send a pulse by quickly pushing the spring forward and pulling
it back, as shown. This type of wave is called _______________. Watch the motion of the ribbon.
In this type, the particles move _____________ to the direction the wave travels. Its pulses
are called _____________ and _____________. Label each.
Note that all waves transfer _____________ without transferring _______________. In
mechanical waves, particles of the medium vibrate back and forth in simple harmonic motion while
the disturbance (or _____________) moves from one place to another.
B. WAVE SPEED
Send a large pulse, followed by a small one. Does one pulse catch up to the other? ______
(Hint: The person who sends these waves should watch how the waves look when they return. Make
sure that both pulses are large enough initially to make it back to the sender!) The size of the
pulse is called the __________________ of the wave. Did the size affect the speed? ______
Generate a single transverse pulse in the slinky, keeping the stretch constant. Using a stopwatch,
time the journey of the pulse from one end to the other and back again. Take the average of
several trials. _________
Without changing your positions on the floor (therefore keeping the _____________ the pulse
travels the same), pull the slinky tighter using only about 3/4 of the coils. This makes a completely
different medium through which the pulse will travel. Time the journey as before. ___________
Does the kind of medium affect the speed of the pulse? ___________
Lab – Wave Properties in a Spring ____________________
PHYSICSFundamentals
© 2004, GPB
11-06
C. WAVELENGTH AND FREQUENCY
Shake the slinky back and forth steadily to send a
transverse wave train while your partner holds the other end still. On the diagram, label wavelength
(- Greek letter lambda). The frequency of the wave depends on how fast you shake the slinky.
Shake it regularly but slowly, then regularly but rapidly.
Higher frequency waves are generated by shaking the spring (slowly, rapidly). High frequency
waves have (short, long) wavelengths, and low frequency waves have __________.
The speed of a wave in any medium is equal to the _______________ of the wave X
________________. This wave equation ___________________ shows that f and  are
______________ proportional. Write the units for each of the variables in this equation.

Answers

The exercise involves filling in the gaps with the possible wave

properties that can be obtained from a spring.

How is the Wave Properties in a Spring Lab exercise correctly completed?

The correctly completed exercise is presented as follows;

A wave is a disturbance that moves through a medium. There are two

types of waves. A mechanical wave requires matter to travel. List some

examples of this type: sound wave, water wave, spring waves.

A electromagnetic wave does not require a medium. Examples include: Light waves

In order to start and transmit a mechanical wave, a source of

disturbance and a physical medium are required. A single disturbance is

referred to as a pulse, and a series of disturbance is a wave train.

This type of wave is called transverse wave. Its pulses are called crest

and troughs.

Now send a pulse by quickly pushing the spring forward and pulling it

back, as shown. This type of wave is called longitudinal wave. Watch the

motion of the ribbon. In this type, the particles move parallel to the

direction the wave travels. Its pulses are called compression and

rarefactions. Note that all waves transfer energy without transferring

matter. In mechanical waves, particle of the medium vibrate back and

forth in simple harmonic motion while the disturbance (or energy)

moves from one place to another.

B. Wave speed

Does the pulse catch up to the other? yes. The size of the pulse is called

the amplitude of the wave.

Did the size of the pulse affect the speed? No.

The average time wave it takes the wave to travel

Without changing your positions therefore keeping the distance the

pulse travels the same), pull the slinky tighter using only about 3/4 of

coils. This makes a completely different medium through which the

pulse will travel. Time the journey as before time record. Does the kind

of medium affect the speed of the pulse? Yes

C. Wavelength and Frequency

High frequency waves have short wavelengths and low frequency waves

have long wavelengths.

The speed of a wave in any medium is equal to the frequency of the wave × the wavelength. This wave equation [tex]\underline{f = \dfrac{v}{\lambda } }[/tex] shows that f and λ are

inversely proportional. The units of the variables are;

Units of the frequency, f is hertz unit HzUnits of the velocity, v, is m/sUnits of the wavelength, λ, is meters (m)

Learn more about waves here:

https://brainly.com/question/14118172

What is the average speed of the toy car in the investigation?
0.25 m/s
4.0 m/s
5.0 m/s
20 m/s

Answers

Answer:

I would got with A or B because they seem more reasonable. Hope this helps and good luck :)

Which substance may lower air temperatures after a volcanic eruption?

lava
sulfur dioxide
carbon dioxide
water vapor

Answers

The awnser is sulfur dioxide.

The gas that is responsible for lowering the temperature is sulfur dioxide gas.

A volcanic eruption refers to the sudden escape of lava and gases from the earth's core. It usually occurs at a very high temperature. The solidification of the volcano leads to rock formation.

During a volcanic eruption, the gas that is responsible for lowering the temperature is sulfur dioxide gas.

Learn more: https://brainly.com/question/1622004

2 kg ball of clay moving at 40 m/s collides with a 5 kg ball of clay moving at 10 m/s directly toward the first ball. What is the final velocity if both balls stick together after the collision?

Answers

Answer:

vf = 4.3 m/s

Explanation:

Assuming no external forces acting during the collision, total momentum must be conserved:

        [tex]p_{o} = p_{f} (1)[/tex]

        where p₀ = initial momentum, and pf = final momentum.

The initial momentum is just the sum (vector sum) of the initial momenta of both balls, as follows:

       [tex]p_{o} = m_{1} * v_{1o} + m_{2} * v_{2o} = 2 kg* 40 m/s - 5kg* 10m/s = 30 kg*m/s (2)[/tex]

The final momentum, assuming both balls stick together after the collision, can be expressed as follows:

       [tex]p_{f} = (m_{1} + m_{2} ) * v_{f} = 7 kg * v_{f} (3)[/tex]

From (2) and (3), solving for vf, we get:

        [tex]v_{f} =\frac{30 kg*m/s}{7 kg} = 4.3 m/s (4)[/tex]

20 pts.





Which of the following statements is true?
O Electromagnets use electrlcity and magnets.
O Magnetic fields are strongest around the poles of a magnet.
O The south pole of a magnet will repel the south pole of another magnet.
O all of the above

Answers

Answer:

all are true so d is right

Explanation:

Electromagnets use electrlcity and magnets is true.

Magnetic fields are strongest around the poles of a magnet is true.

The south pole of a magnet will repel the south pole of another magnet is true

and since all of them is true the answer is d all of the above

A radioactive nuclide of atomic number Z emits an alpha particle and the daughter nucleus then emits a beta particle. What is the atomic number of resulting nuclide?
A) Z-1
B) Z+1
C) Z-2
D) Z-3

Answers

Answer:

A) Z-1

Explanation:

when a radioactive element of atomic number Z emits an alpha particle, the mass of the new nucleus decreases by 2, i.e the new atomic number of the element = ( Z- 2).

Also, when the daughter nucleus emits a beta particle, the new nucleus increases by 1,  that is the new atomic number of the element = (Z + 1).

Thus, the atomic number of resulting nuclide = Z ( - 2) + ( + 1).

                                                                           = Z - 2 + 1

                                                                           = Z - 1

Therefore, the atomic number of resulting nuclide is Z - 1

g A wave on a string has a speed of 13.3 m/s and a period of 0.3 s. What is the frequency of the wave

Answers

Answer:

3.33 Hz

Explanation:

The first step is to calculate the wavelength

= speed × period

= 13.3 × 0.3

= 3.99

Therefore the frequency of the wave can be calculated as follows

= speed/wavelength

= 13.3/3.99

= 3.33 Hz

a wandering dog walks 1 km due east, 1 km due south, then runs 2 km due west. the magnitude of the dogs displacement is closest to
a. 0 km
b. 1.4 km
c. 3.4 km
d. 4.0 km​

Answers

Answer:

b) 1.4km

Explanation:

1. According to paragraph 3 in the text, MOST of the electromagnetic waves from
the sun that reach Earth are: *
O A. microwaves, x rays and visible light
O B. radio waves, infrared waves and visible light
O C. infrared waves, visible light and ultra-violet radiation
D. gamma rays, ultra-violet radiation and microwaves

Answers

Answer:

Most of the EM waves from the sun that reach Earth are infrared waves, visible light, and UV radiation.

Explanation:

I hope this helps! Have a good day!

(6.9 * 10-6)(770 * 102)

Answers

Answer:

4948020

Explanation:

(6.9*10-6)(770*102)

Multiply  6.9  by  10 .

( 69 − 6 ) ( 770 ⋅ 102 )

Subtract  6  from  69 .

63 ( 770 ⋅ 102 )

Multiply  770  by 102 .

63 ⋅ 78540

Multiply  63  by  78540 .

4948020

A particular engine has a power output of 2 kW and an efficiency of 27%. If the engine expels 9085 J of thermal energy in each cycle, find the heat absorbed in each cycle. Answer in units of J.

Answers

Answer:

12445 J

Explanation:

Given that

Power output, P = 5 kW

efficiency of the engine, e = 27% = 0.27

Thermal energy expelled, Q(c) = 9085 J

Heat absorbed, Q(h) = ?

Using the formula

e = W/Q(h)

e = [Q(h) - Q(c)] / Q(h)

e = 1 - Q(c)/Q(h)

Now, substituting the values into the formula, we have

0.27 = 1 - 9085/Q(h)

9085/Q(h) = 1 - 0.27

9085/Q(h) = 0.73

Q(h) = 9085 / 0.73

Q(h) = 12445 J

Thus, the heat absorbed is 12445 J

PS Final Exam
What type of friction exists between a moving car's tires and the road?
O rolling friction
O static friction
O sliding friction

Answers

a rolling friction jdisns

James is planning on registering for a course in electrical engineering which of the following sub disciplines could he opt for instrumentation engineering prosthetics plant design or signal processing

Answers

Answer:

Instrmentation engineering

Explanation:

Hope this helps!

What is the Potential Energy of a roller coaster if it has a velocity of 35 m/s and a mass of 2000 kg and is at a height of 200 m? Please answer fast

A.) 137,200,000 J
B.) 12,005,000 J
C.) 3,920,000 J
D.) 1,400,000 J

Answers

Answer:

C

Explanation:

It cant be A or D, meaning your left with B and C. there cant be an answer in the 1000's place eather

Help me please..

Velocity is defined as a
and a?

A) speed, direction

B) change, direction

C) speed, acceleration

D) change, acceleration

Answers

it’s A speed in a given direction

Answer:

Speed and direction.....

Help me please..

When the slope of a velocity vs. time graph is negative and constant,
what type of motion is occurring?

A) No motion

B) Constant speed

C) Acceleration

D) Constant Velocity

E) Going in circles

Answers

The answer is Acceleration!

A force of 64 N gives an object an acceleration of 23.53 m/s^2. What is the mass of the object?
A-2.00 kg
B-1505 kg
C-2.72 kg
D-736 kg

Answers

D is the right answer for this I think

why do feet smell and noses run?

Answers

Answer:

Nose has mucous glands with hairs which helps the body in trapping pollutants and infectants from entering inside the body. On the other hand,our feet is composed of millions of sweat pores when dirt and other things accumulate,it smells because of sweat mixed with the dirt and other dirty things of the ground.

Explanation:

Hope this helps

The average speed of a car that drives 140 kilometers in 2 hours

Answers

Answer:

240 kilometer

Explanation:

ur just mutipling the number by 2

Your average speed was 70.0 Kilometers per hour (km/h)

Please help!!
A person is driving in a circle at 20m/s. Are they accelerating?

Answers

(C) there changing direction

If the social distancing length between two students is doubled from two metered to four meters, does the gravitational force between the two students increase or decrease?

Explain your reasoning!

Answers

Answer:

the gravitational force decreases

A horizontal spring has a spring constant of 2.00 N/m. One end of the spring is attached to a fixed wall. A mass of 0.200 kilograms is attached to the free end of the spring and the spring is compressed by 0.500 meters from its natural length. The mass is released. What is the speed of the mass when the spring returns to its natural length?

a. 2.24 m/s
b. 2.50 m/s
c. 5.00 m/s
d. 1.58 m/s

Answers

Answer:

(D) the speed of the mass when the spring returns to its natural length is 1.58 m/s.

Explanation:

Given;

spring constant of the spring, k = 2 N/m

mass attached to the spring, m = 0.2 kg

compression of the spring, x = 0.5 m

Apply the principle of conservation of mechanical energy;

K.E = P.E

¹/₂m(v² - u²) = ¹/₂kx²

where;

u is the initial speed of the mass = 0

¹/₂mv²  = ¹/₂kx²

mv²  = kx²

[tex]v^2= \frac{kx^2}{m} \\\\v= \sqrt{\frac{kx^2}{m}} \\\\v = \sqrt{\frac{(2)(0.5)^2}{0.2}} \\\\v = 1.58 \ m/s[/tex]

Therefore, the speed of the mass when the spring returns to its natural length is 1.58 m/s.

Given f(x)=2x+7, which of the following is the value of x when f(x)=13?

Answers

Answer:

The value of x is 3

Explanation:

Equation Solving

We are given the equation

f(x) = 2x + 7

Let's find the value of such that f(x) = 13.

2x + 7 = 13

Subtracting 7:

2x = 13 - 7

2x = 6

Dividing by 2:

x = 6/2

x = 3

The value of x is 3

Other Questions
Which expression is equivalent to(5x^3)(2x)^2 HELPP PLEASE THIS IS VERY IMPORTANTT: Scientists on a space shuttle mission studying plant growth would probably see that the plants on the space shuttle do not grow in the same direction and pattern as those on Earth. Scientists working in space would MOST LIKELY be studying the effects of which of the following stimuli on plant growth?A) gravityB) oxygenC) radiationD) temperature so just say what benchmark 1 1/8 is closet to (ps benchmarks on the side) and do the same for 2 2/5 . and the benchmarks that you found subtract them. What am i saying?? (Eu odeio Edh) Portugues HaVe FuN! why is caffeine unlikely to cross through the phospholipid bilayer? Break down the word phosphor to reflect the correct pronunciation 1. Laurens scores on her four math tests are: 83%, 79%, 94%, and 96%. What is the lowest score Lauren needs to achieve an average score greater than 85?2. Twice an integer increased by 6 is less than 48.A. Write an inequality.B. What is the largest integer this could be? A firm has a capital structure with $14 in equity and $72 of debt. The cost of equity capital is 14.16% and the pretax cost of debt is 5.34%. If the marginal tax rate of the firm is 28.94% Compute the weighted average cost of capital of the firm. In the diagram below, C is the midpoint of AB. If AC is 8 centimeters, what is the length of CB? A. 8 cm B. 6 cm C. 16 cm D. 4 cm - Which number line represents the solution to the inequality -5x +18> -22 ? Which of the following job search materials is the most important? A. resumeB. list of referencesC. cover letterD. personal information card Sherry needs $120 by the end of the month. So far, she has only raised one-fourth of the amount that she needs. How much money has Sherry raised so far?A) $10B) $20C) $30D) $40 K mola ofkg o okdgmbo9k Will the coronavirus increase the importance of environmental sustainability? HELP PLSRaise 5 to the 9th power, then subtract j from the result What was muckracking? When did New Mexico become a province? a. 1680 c. 1802 b. 1776 d. 1848 What is the circumference of the circle A. 18.84B. 17.6C. 21.79D. 15.65 Need help with question 23. Which is an appropriate conclusion for the data shown?The decrease in carbon dioxide (CO2) for the leaf was less than the decrease for the stem.- More oxygen was produced in the stem than in the leaf.-There was no photosynthesis taking place in the roots.- The stem was performing photosynthesis at a faster rate than the leaf. What is the y-intercept of the function?