An arrangement of two pulleys, as shown in the figure, is used to lift a 64.3-kg crate a distance of 4.36 m above the starting point. Assume the pulleys and rope are ideal and that all rope sections are essentially vertical.What is the change in the potential energy of the crate when it is lifted a distance of 4.36 m? (kJ)How much work must be done to lift the crate a distance of 4.36 m? (kJ)What length of rope must be pulled to lift the crate 4.36 m? (m)

An Arrangement Of Two Pulleys, As Shown In The Figure, Is Used To Lift A 64.3-kg Crate A Distance Of

Answers

Answer 1

Given data:

* The mass of the crate is m = 64.3 kg.

* The height of the crate is h = 4.36 m.

Solution:

(a). The potential energy of the crate at the initial state is zero (as the height of the crate is zero at the initial state), thus, the change in the potential energy of the crate is,

\(\begin{gathered} dU=\text{mgh}-0 \\ dU=mgh \end{gathered}\)

where g is the acceleration due to gravity,

Substituting the known values,

\(\begin{gathered} dU=64.3\times9.8\times4.36 \\ dU=2747.4\text{ J} \\ dU=2.75\times10^3\text{ J} \\ dU=2.75\text{ kJ} \end{gathered}\)

Thus, the change in the potential energy is 2.75 kJ.

(b). The work done to lift the crate is equal to the change in the potential energy of the crate.

Thus, the work done on the crate is 2.75 kJ.

(c). As the single is pulling the two ropes to increase the height of the crate, thus, the length of the rope pulled in terms of the height of the crate is,

\(l=2h\)

Substituting the known values,

\(\begin{gathered} l=2\times4.36 \\ l=8.72\text{ m} \end{gathered}\)

Thus, the length of the rope pulled to lift the crate is 8.72 meters.


Related Questions

This type of water occurs as a liquid resource that is dispersed through numerous holes, pores, fractures, and cavities in bodies of rock or sediment it is known as

A) Salt Water
B) Glacier Water
C) Ground Water
D) Ocean Water

Answers

Answer:

C

Explanation:

Although this may seem surprising, water beneath the ground is commonplace. Usually groundwater travels slowly and silently beneath the surface, but in some locations it bubbles to the surface at springs. The products of erosion and deposition by groundwater were described in the Erosion and Deposition chapter.

Groundwater is the largest reservoir of liquid fresh water on Earth and is found in aquifers, porous rock and sediment with water in between. Water is attracted to the soil particles and capillary action, which describes how water moves through a porous media, moves water from wet soil to dry areas.

Aquifers are found at different depths. Some are just below the surface and some are found much deeper below the land surface. A region may have more than one aquifer beneath it and even most deserts are above aquifers. The source region for an aquifer beneath a desert is likely to be far from where the aquifer is located; for example, it may be in a mountain area.

The amount of water that is available to enter groundwater in a region is influenced by the local climate, the slope of the land, the type of rock found at the surface, the vegetation cover, land use in the area, and water retention, which is the amount of water that remains in the ground. More water goes into the ground where there is a lot of rain, flat land, porous rock, exposed soil, and where water is not already filling the soil and rock.

The residence time of water in a groundwater aquifer can be from minutes to thousands of years. Groundwater is often called “fossil water” because it has remained in the ground for so long, often since the end of the ice ages.

The type of water occurs as a liquid resource that is dispersed through

numerous holes is known as Ground water.

Ground water is formed from the liquid on the land being dispersed deep

down into the soil. Water is readily absorbed into the soil depending on the

type of soil. Sandy soil is known to have a higher degree of absorption.

The water absorbed is usually as a result of numerous holes, pores, fractures,and cavities in rocks and sediments and is  also dependent on the climate and rate of precipitation in the area. This is why water is usually found in the soil when dug to certain levels.

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Customers take plates from the cart described above. As a result, the spring moves up to be compressed by
only 0.30 m. What is the change in elastic potential energy?

Answers

As the spring moves up to be compressed by only 0.30 m, the change in elastic potential energy will be 0.045 k J.

Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring.

Given,

The spring moves up to be compressed by a displacement = 0.30 m

And the elastic potential energy (U) for a spring can be calculated as:

\(U = \frac{1}{2} k x^{2}\)

Where k = spring constant and is measure in N/m

and x = change in length of the spring or the displacement of the spring

\(U = \frac{1}{2} k (0.30)^{2}\)

\(=\frac{1}{2} k (0.09)\)

\(=0.045 k\) J

Hence, the change in elastic potential energy is 0.045 k J.

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in the process of identifying the alcohol contained in the wine, why does color changed into light blue from brown, to dark green, to light green and finally to light blue?​

Answers

Answer:

The color of the Anthocyanins changes depending on the PH of what they come into contact with, because wine already has acid in its Anthocyanins are red. But as soon as you expose those Anthocyanins to more alkaline factors, it will start to turn blue.


A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute. Find the angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute

Answers

Given :

A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute.

To Find :

The angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute.

Solution :

Angular speed is given by :

\(\omega = 25\ rpm \\\\\omega = 25\times 360^o \ per \ minute\\\\\omega = 9000^o \ per \ minute\)

Now, velocity is given by :

\(v = Radius\times \dfrac{RPM}{60\ sec/min}\times 2\pi\ rad/rev\\\\v = 3.2 \times \dfrac{35}{60}\times 2\pi\\\\v = 11.73\ m/s\)

Hence, this is the required solution.

A smooth circular cylinder of radius 1.5m in a triangular grove, one side of which makes 15 °angle and the other 40° angle with the horizontal · Find the reaction. at the surface of contact, if there. is no fiction and the cylinder weigh 100N ​

Answers

Answer:

46.5 N

Explanation:

attached is explanation

what is a shargaff rule

Answers

According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.

Who is Chargaff ?

Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.

Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.

He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.

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What is revolution?
A. The motion of an object along a curved path
B. The spinning of an object on its axis
C. The orbit of a satellite around a central body
D. The motion of two objects around each other

Answers

Answer:

A. the motion of an object along a curved path

Electromagnetic radiation of a specific wavelength or energy is called

A. a photon

B. a speed

C. a threshold

D an optimal length

Answers

Electromagnetic radiation of a specific wavelength or energy is called a photon.

Electromagnetic radiation of a specific wavelength or energy is called a photon. A photon is a fundamental particle of light and is the smallest unit of electromagnetic radiation. It has no mass, but carries energy and momentum. Photons travel through space at the speed of light and can exhibit both wave-like and particle-like behaviors.The energy of a photon is directly proportional to its frequency or inversely proportional to its wavelength. This relationship is known as the Planck-Einstein equation and can be expressed as E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the radiation.When a photon interacts with matter, it can be absorbed, reflected, or scattered. The energy of the photon is transferred to the absorbing material, causing an excitation or ionization of the atoms or molecules. This process is the basis for many scientific techniques, such as spectroscopy, where the absorption or emission of photons by a material is used to identify its chemical composition and structure. Understanding the properties of photons and their interactions with matter is essential for many fields of science, including optics, physics, and chemistry.

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what is a resultant vector​

Answers

Answer:

A resultant vector is a combination or, in simpler words, can be defined as the sum of two or more vectors which has its own magnitude and direction.

Bonjour ,
je n'arrive pas a comprendre cet exercice de physique niveau 5eme.
Ceci concerne le chapitre sur l'éléctricité .

MERCI

Bonjour ,je n'arrive pas a comprendre cet exercice de physique niveau 5eme.Ceci concerne le chapitre

Answers

Answer:

Bonjour! Mon francais est assez rouillé, mais faire de mon mieux pour traduire la page; voici les principaux points:

1. (Une) Le rôle de la boule de flotteur dans le circuit électrique est qu'il permet à la pompe d'arrêter lorsque l'eau n'est pas le bon niveau en venant en contact avec deux conducteurs et la fermeture du circuit électrique.

2. (Deux) Je veux dire que le matériau qui constitue la balle en isolant, car il maintient l'eau et hors de blocage force active de la machine.

3. (Trois) Le courant électrique continuera aussi longtemps que la pompe est branchée sur une prise électrique, je crois.

Encore une fois, s'il vous plaît pardonnez-moi, je suis mieux à la lecture de français que de l'écrire! J'espère que cela a pu aider. Si vous avez plus de questions, je vais faire de mon mieux pour y répondre!

Salut!

i’ll mark you brainlist :)

ill mark you brainlist :)

Answers

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i’m famous. follow me at faithwilliamss

Suppose an electron in some atom absorbs energy and transitions from level 1 up to level 4. Which of the following is a true statement regarding the electron transitions back down to level 1?
a. It must transition from 4 to 3, then 3 to 2, then 2 to 1. All downward transitions are one step at a time.
b. 4 to 2, followed by 2 to 1, is possible. Downward transitions can be any number of levels.
c. It can go from 4 to 1 only. The downward transition must match the upward one.

Answers

b. 4 to 2, followed by 2 to 1, is possible. Downward transitions can be any number of levels.

Downward transitions can indeed be any number of levels at a time. Together with the rule that each downward transition produces a photon of a particular color, you can see why each element has a unique the emission spectrum.

A ball rolls horizontally off a table that is 1.2 m tall with an initial speed of 2.3 m/s What is the magnitude of its velocity when it strikes the ground?

2.31 m/s
1.97 m/s
5.37 m/s
3.33 m/s
9.80 m/s

Answers

The magnitude of the velocity of striking the ground is 3.8 m / s.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that a ball rolls horizontally off a table that is 1.2 m tall with an initial speed of 2.3 m/s.

The velocity of striking the ground is calculated as:-

mgh + (1/2 ) mu² = 1/2 mv²

(9.81 x 1.2 ) + 1/2(2.3)² = v²

v = √14.417

v = 3.8 m / s

Therefore, the magnitude of velocity will be 3.8 m / s.

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what are the four things that affect the resistance of a wire? A. length, diameter, material, and temperature B. weight, diameter, material, and temperature C. length, height, material, temperature D. length, weight, material, and temperature

Answers

Answer:

A. length, diameter, material, temperature

please help meee please please

please help meee please please

Answers

Answer:

I think it's c but don't know for sure

How much pressure is on the bottom of a pot that holds 20N of soup? the surface area of the pot is 0.05m2

Answers

Answer:

400

Explanation:

Formula used in solution:

\(P = \frac{F}{A}\)

\(P - pressure,\: F - force,\: A - area\)

The given information:

\(F = 20N\)

\(A = 0.05m^{2}\)

Solution

\(P = \frac{F}{A} = \frac{20}{0.05} = 20 * 20 = 400\)

Answer:

\(Pressure = 400 \: Pascals\)

Why have human beings not yet traveled to the stars to seek other habitable worlds?

Answers

Answer:

Most planets don't fit in the habitable zone which Earth resides in

Explanation:

The planet needs to be a certain distance from the sun and it must have certain requirements for a planet to be considered habitable.

We live lightyears away from the nearest habitable planet, hence the reason why we havent travelled the the stars because space is mostly an abyss of emptiness

7. What do the following scientists study:
a. Geologists -
b. Zoologists -
c. Anthropologists -
d. Botanists -
e. Chemists -
f. Physicists -
on line papper

Answers

These scientists are known  to study different aspects of science. The study they engage are;

What do scientists study

a. Geologists - study the physical structure and composition of the Earth, including rocks, minerals, and natural resources.

b. Zoologists - study animals, their behavior, physiology, evolution, and distribution.

c. Anthropologists - study human societies, cultures, and behavior across time and space.

d. Botanists - study plants, their physiology, structure, ecology, and evolution.

e. Chemists - study the composition, properties, and behavior of matter and the chemical changes it undergoes.

f. Physicists - study the fundamental principles that govern the behavior of matter and energy in the universe, including mechanics, thermodynamics, electromagnetism, quantum mechanics, and relativity.

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two identical neutral metal spheres rest on an isolated table if you wanted to give it a net positive charge while spear to is given a net negative charge Which statement explains the movement of charges during the charging process​

Answers

Answer:

its c

Explanation:

Calculate the acceleration of an object slowing from 9.8 m/s to 6.4 m/s over the course of 17s

Answers

I have no idea sorry

A train is approaching you at very high speed as you stand next to the tracks. Just as an observer on the train passes you, you both begin to play the same recorded version of a Beethoven symphony on identical MP3 players. (a) According to you, whose MP3 player finishes the symphony first?
A. your player,
B. the observer's player,
C. both finish at the same time. (b) According to the observer on the train, whose MP3 player finishes the symphony first?
A. your player,
B. the observer's player,
C. both finish at the same time. (c) Whose MP3 player actually finishes the symphony first?
A. your player,
B. the observer's player,
C. each observer measures his symphony as finishing first,
D. each observer measures the other's symphony as finishing first.

Answers

Answer:

a) Your player

b) Observer's player

c) Each measures their own first

Explanation:

Because given problem is having relative velocity to each other. The person sitting on the train is moving with a very high speed relative to the person standing next to the track.

In this case, the clock situated in the train will be running slow with respect to the stationary frame of reference

..
David rides his bike with a
constant speed of 10 km/h.
How far can he travel in 1 1/2
hours?
T

Answers

im not sure i wanna say 2 miles

why sometimes on a hot day, a screen door might get stuck when you try to open it and not fit perfectly when you try to close it

Answers

Answer:

Lack of cleanliness

Explanation:

Dust and other debris accumulate over time. If you have pets, their hairs pile on too. These clog the lining of where the door closes. If you want your screen door to move more smoothly, you have to clean the lining more frequently.

Write a hypothesis about how the mass of the cylinder affects the temperature of the water. Use the "if . . . then . . . because . . .” format and be sure to answer the lesson question: "How is potential energy converted to thermal energy in a system?”

Answers

Hypothesis, If the mass of the cylinder increases, then the temperature of the water will also increase because an increase in mass leads to greater potential energy, which is converted to thermal energy in the system.

According to the principle of conservation of energy, energy cannot be created or destroyed but can be transformed from one form to another. In this case, potential energy from the mass of the cylinder can be converted into thermal energy in the system. When the cylinder is lifted and submerged in the water, it possesses gravitational potential energy due to its elevated position.

As the cylinder is released and descends into the water, this potential energy is converted into kinetic energy, causing the water molecules to move and collide with higher energy. These collisions generate heat and increase the overall temperature of the water. By increasing the mass of the cylinder, more potential energy is stored.

As a result, there is a greater amount of energy available to be converted into thermal energy when the cylinder is released into the water. Thus, the temperature of the water is expected to increase as the mass of the cylinder increases.

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4. Which of the following accurately pairs the part of an atom to its charge?
O A. Neutron-positive charge
O B. Electron-negative charge
O C. Proton-no charge
O D. Electron-no charge​

Answers

Answer:

B Electrons are negatively charged while protons are positively charged

Some springs are wound with the wire under torsion, so that they are naturally tightly compressed. The plot of extension vs. applied force will show that the intercept on the extension axis is negative, that is, the "unstretched length" is shorter than the actual unloaded length. Explain.​

Answers

The "unstretched length" is shorter than the actual unloaded length because the load applied to the material caused the extension of the material thereby increasing its length.

Hooke's law

Hooke's law states that the force applied to an elastic material is directly proportional to the extension of the elastic material.

F = kx

where;

F is the applied forcek is the spring constantx is the extension

Thus, we can conclude that, the "unstretched length" is shorter than the actual unloaded length because the load applied to the material caused extension of the material thereby increasing the length of the material.

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1.00 kg of ice at -24.0°C is placed
in contact with a 1.00 kg block of a
metal at 5.00°C. They come to
equilibrium at -8.88°C. What is
the specific heat of the metal?

Answers

1.00 kg of ice at -24.0°C is placed in contact with a 1.00 kg block of a metal at 5.00°C. They come to equilibrium at -8.88°C.

We can use the principle of conservation of heat to solve this problem. The heat lost by the metal must equal the heat gained by the ice.

The heat lost by the metal is given by

Q1 = m1c1ΔT1

Where m1 is the mass of the metal, c1 is its specific heat, and ΔT1 is the change in temperature.

The heat gained by the ice is given by

Q2 = m2c2ΔT2

Where m2 is the mass of the ice, c2 is its specific heat, and ΔT2 is the change in temperature.

Since the two objects come to thermal equilibrium, we can set Q1 equal to Q2

m1c1ΔT1 = m2c2ΔT2

Solving for c1, we get

c1 = m2c2ΔT2 / (m1ΔT1)

By putting these values we get

c1 = (1.00 kg)(2.06 kJ/kg·K)(-24.0°C - (-8.88°C)) / [(1.00 kg)(5.00°C - (-8.88°C))]

c1 = 0.902 kJ/kg·K

Hence, the specific heat of the metal is 0.902 kJ/kg·K.

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Air moves across a warm body of water and rises in the atmosphere. This heat is most likely transmitted by which of the following? • Convection only • Radiation only • Convection and conduction • Radiation and conduction

Answers

This heat is most likely transmitted by Convection only. The first option is the correct answer.

What is Convection?

Convection is the transfer of heat by the movement of a fluid or gas. When air moves across a warm body of water, it is heated by the water through convection and rises in the atmosphere. This process is called a sea breeze.

Heat convention in materials can be calculated using the formula:

Q = h A ΔT

Where,

Q = heat transfer rate

h = convection heat-transfer coefficient

A = exposed surface area

ΔT = temperature difference

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A child of mass 40. 0 kg is in a roller coaster car that travels in a loop of radius 7. 00 m. At point a the speed of the car is 10. 0 m/s, and at point b, the speed is 10. 5 m/s. Assume the child is not holding on and does not wear a seat belt. (a) what is the force of the car seat on the child at point a? (b) what is the force of the car seat on the child at point b? (c) what minimum speed is required to keep the child in his seat at point a?

Answers

At point A the force is 571.6 N. At point B the force is 632.8 N. The minimum speed at point A is 8.32 m/s

The force of the car seat on the child can be determined using the equation F = m * a, where F is the force, m is the mass, and a is the acceleration. The acceleration can be found using the equation a = v^2/r, where v is the speed and r is the radius.
(a) At point a, the speed is 10.0 m/s and the radius is 7.00 m. Therefore, the acceleration is:
a = (10.0 m/s)^2 / (7.00 m) = 14.29 m/s^2
The force of the car seat on the child is:
F = (40.0 kg) * (14.29 m/s^2) = 571.6 N
(b) At point b, the speed is 10.5 m/s and the radius is 7.00 m. Therefore, the acceleration is:
a = (10.5 m/s)^2 / (7.00 m) = 15.82 m/s^2
The force of the car seat on the child is:
F = (40.0 kg) * (15.82 m/s^2) = 632.8 N
(c) The minimum speed required to keep the child in his seat at point a can be found by rearranging the equation for acceleration:
v = sqrt(a * r)
Since the force of the car seat on the child must be equal to or greater than the force of gravity on the child (F = m * g), the acceleration must be equal to or greater than the acceleration due to gravity (a = g = 9.81 m/s^2).
Therefore, the minimum speed is:
v = sqrt((9.81 m/s^2) * (7.00 m)) = 8.32 m/s

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Aristotle represents what

Answers

Aristotle is a towering figure in ancient Greek philosophy, who made important contributions to logic, criticism, rhetoric, physics, biology, psychology, mathematics, metaphysics, ethics, and politics.

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Which is true if the weak base is stronger than the weak acid? as a consequence of the drug addiction treatment act of 2000, suboxone can now be prescribed in an office setting to treat substance abuse.T/F One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125? If you are in self quarantine and have no friends what would be the best way to make friends?A. wait for quarantine to be overB. make friends with your petsC. make friends onlineD. stare at the other kids out the window wishing you had friendsE. wishing you could just move back to the place you came from find the 21st term of the AP 1,3,5,7, How do I get the exact value of sin 480? describe the expected effects that college scholarships based on student ability and student need are likely to have on the distribution How can a diverse economy like the United States, satisfy the needs of its consumers? this is a protein. how many amino acids does it contain? write only a number for your answer Please help me with this problem The section of the business plan that is designed to initially captivate and energize a potential financial investor would be the. 6.solve an inequality that represents the description and then solve Toni can carry up to 18 lb in her backpack.Her lunch weighs 1 lb, her gym clothes weigh2 lb, and her books (b) weigh 3 lb each. Howmany books can she carry in her backpack? Aqua town charges 4.50 admission plus 0.75 for each ride the cost at splash world is 2.50 admission plus 1.25 per ride let x represent the number of rides write an expression for each water park to show the relationship between the total cost and the number of rides please help will mark brainliestWhich statement describes the relationship between seafloor spreading and continental drift?As the seafloor spreading occurs, the continents do not move.As the continents move, they pull the seafloor with them.As the continents move, they create new seafloor at the coast.As the seafloor spreading occurs, the continents move. what is the ratio of 5/30=3/c what does the anthropological approach to world art attempt to do? What are the functions of the Human skeletonA) support musclesB) give shape to the bodyC)provide muscle strength to the bodyD)protect bonesE)protect organsF) form bloodG)maintain an internal balanceH) store substances like fat I cant solve this along with a few other problems. what is the simplified form of this expression (-3x^2+4x)+(2x^2-x-11) What is the difference between peril and perilous?