A rope is wrapped around a pulley many times. The pulley can be modeled as a solid disk of radius R and mass M, and a mass mA hangs vertically from the pulley. The mass is released from rest. show answer Incorrect Answer 25% Part (a) What is the magnitude of the tangential acceleration of the hanging mass?

Answers

Answer 1

The magnitude of the tangential acceleration of the hanging mass is 2mg/MR

Tangential acceleration of the hanging mass

The tangential acceleration of the hanging mass around the pulley is determined from the principle of conservation of angular momentum as shown below;

τ = Iα

Where;

I is the moment of inertiaα is the angular velocity

[tex]\alpha = \frac{\tau}{I} \\\\\alpha = \frac{mgR}{3/2MR^2} \\\\\alpha = \frac{2mgR}{3MR^2} \\\\\alpha = \frac{2mg}{3MR}[/tex]

Where;

m is the hanging massM is the mass of solid disk

The tangential acceleration is calculated as follows;

[tex]a = \alpha R\\\\a = \frac{2mg}{3MR} \times R\\\\a = \frac{2mg}{3M}[/tex]

Thus, the magnitude of the tangential acceleration of the hanging mass is 2mg/MR

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Related Questions

Which statements accurately describe mechanical waves? Check all that apply.

A. Energy is transferred through vibrating particles.
B. A mechanical wave does not carry energy through matter.
C. A longitudinal wave is a type of mechanical wave.
D. A transverse wave is a type of mechanical wave.
E. An ocean wave moving through water is an example of a mechanical wave.

Answers:
A.
C.
D.
E.

I already did this
Edge 2022​

Answers

Answer:

A

Explanation:

E. An ocean wave moving through water is an example of a mechanical wave

e.g sound waves wave on a rope or string

and Ans a is also correct

In mechanical waves, the energy is transferred through the vibration of the particles.

Mechanical waves are the type of waves that transfers energy through the vibration of particles. Since, mechanical waves require a medium to transfer energy, they carry energy through matter.

Both longitudinal and transverse waves are two types of mechanical waves.

It is known that mechanical waves propagate through medium like matter, water, etc. Therefore, an ocean wave moving through water is an example of a mechanical wave.

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How does the gravitational force between two objects change if the distance between the objects doubles?
a)
The force decreases by a factor of 4.
b)
The force decreases by a factor of 2.
c)
The force increases by a factor of 4.
d)
The force increases by a factor of 2.

Answers

if the distance between the objects is doubled the force is reduced by a factor of 4

Whats is gravitational force?

Gravitational force is the force of attraction between objects in the universe.

f = G * m1 * m2 / r^2

f = gravitational force

G = gravitational constant

m1 = mass of object 1

m2 = mass of object 2

r = distance between the objects

From the formular, the gravitational force and the distance is an inverse relationship so increasing the distance by a factor results to reduction of the force by the square of the factor. hence doubling the distance which is distance mutiplied by 2 will lead to reduction of the force by 2^2 = 4

Therefore: The force decreases by a factor of 4.

hope it helps

Find the temperature

Answers

Answer:

-------1

Explanation:

beacuse that is what i know

2. What value did you calculate for the index of refraction of the acrylic block in Part 2? How does your value compare to the accepted value of 1.50? Calculate the percentage error. Different materials have distinct indexes of refraction. Explain how you might identify a material based on experiments like this one. Mention at least one of the difficulties in identifying materials based on their indexes of refraction.

Answers

The percentage error in calculated value of the refractive index of acrylic block is calculated using the formula: (true value - calculated value/true value) × 100%.

What is refractive index of a refracting medium?

The refractive index of a medium is the ratio of the sine of the angle of incidence on the medium and the sine of the angle of refraction.

Refractive index = sin i/sin r

where;

i is the angle of incidencer is angle of refraction.

The refractive index of a medium increases with density of the medium.

To determine the percentage error in determining the refractive index of a medium, the following formula is used:

Percent error = error/true value × 100%

Therefore, the percentage error in calculated value of the refractive index of acrylic block is the ratio of the error and true value multiplied by 100%.

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Three-Dimensional Thinking
2. Aiden collected canned goods for a neighborhood service project. He
pulled a plastic wagon behind him to put the items in. From the time
Aiden began until he finished collecting, the mass of the wagon tripled.
The walk back to Aiden's house was downhill and the speed of the
wagon tripled. What happened to the kinetic energy when the mass
tripled? What happened to the kinetic energy when the speed tripled?
A
When the speed tripled, the kinetic energy increased by a factor of 3.
B
When the mass tripled, the kinetic energy increased by a factor of 3.
When the mass tripled, the kinetic energy increased by a factor of 3.
When the speed tripled, the kinetic energy increased by a factor of 9.
When the mass tripled, the kinetic energy increased by a factor of 9
When the speed tripled, the kinetic energy increased by a factor of 3.
When the mass tripled, the kinetic energy increased by a factor of 9.
When the speed tripled, the kinetic energy increased by a factor of 9.
с
D

Answers

Answer:

A.

Explanation: both triple by 3

Answer: B

Explanation: It is because the formula for this eq is KE=V^2. In the eq, it says that the mass is triple meaning the KE also must have tripled. For the speed, since it has a formula then you just have 3^2 which is 9.

The weight of an object on the moon is less because the _______ on the moon is less.
A. mass
B. kilogram
C. newton
D. acceleration of gravity
E. weight

Answers

Answer:

acceleration of the gravity

Explanation:

The weight of an object on the moon is less because the acceleration of the gravity on the moon is less.

a 2.99 kg sphere makes a perfectly inelastic collision with a second sphere that is intially at rest. the composite moves with a speed equal to one third the original speed of the 2.99kg. what is the mass of the second sphere?​

Answers

Answer:

5.98 kg

Explanation:

To solve this problem, let use the Linear Momentum Conservation Law:

Before collision: [tex]\sum p=p_{1}+p_{2}=m_{1}v_{1}+m_{2}v_{2}=(2.99v_{1})+0=2.99v_{1}[/tex]

After collision: [tex]\sum p'=p_{1}'+p_{2}'=(2.99+m_{2})(v_{1}/3)[/tex]

So, we obtain:

[tex]\sum p =\sum p' \rightarrow 2.99v_{1}=(2.99+m_{2})(v_{1}/3) \rightarrow 8.97 = 2.99 + m_{2}[/tex]

[tex]m_{2}=8.97-2.99=5.98 kg[/tex]

The force of an object is equal to its mass times its ______.
A. inertia
B. friction
C. acceleration
D. faster
E. slower

Answers

Answer:

C. acceleration

Explanation:

The connection between an object's mass and the amount of force required to accelerate it is described by Newton's second law of motion. F=ma is a common expression for Newton's second law, which states that the force (F) exerted on an object is equal to the mass (m) of the object times its acceleration (a). This indicates that the greater the mass of an item, the more force is required to accelerate it. And the more force there is, the faster the item accelerates.

1. Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the density of pure gold.
a) Describe how he could have measured the density of an irregular shaped object as a crown.

Answers

Answer:

Suppose Archimedes weighed the crown (we'll say 2700 grams)

Then he put the crown on a string and weighed the crown in water and found its weight to be 2560 g.

That means that an equivalent volume of water weighed

2700 - 2560 = 140 grams

Then the density of the crown is 2700 / 140 = 19.3

So this is the density of pure gold and the crown could be considered to be made of pure gold with no other metals in its composition.

Archimedes weighed the crown, then suspended it on a rope and measured the volume of water it displaced in order to determine its weight, then he calculated the density of the crown and compared it with the density of the pure gold.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

As given in the problem statement Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the density of pure gold.

Archimedes weighed the crown, then suspended it on a rope and measured the volume of water it displaced in order to determine its weight.

Thus, he could have measured the density of an irregularly shaped object as a crown.

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a bulb rated 100 watt 120 volt is connected across a 120 volt source find the current in the bulb and power consumed by it ​

Answers

As it mentioned

100W/120V

So

power is 100W

Now

Current be I

[tex]\\ \rm\rightarrowtail I=\dfrac{P}{V}=\dfrac{100}{120}=\dfrac{5}{6}=0.8A[/tex]

You are an astronaut floating in DEEP space (very little gravity). If you come upon a small metal object,
what can you do to test if the object has MORE or LESS mass than you? What would happen? Explain

Answers

if the object has less mass it would be way lighter and it would probably explode

why some aqutatic plants float an water give reason science subjects class 4​

Answers

This is because leaves have air in the spaces between cells, which helps them collect CO2 gas from their environment to use in photosynthesis.

The ________ of an object is the same on the earth as it is on the moon.
A. mass
B. kilogram
C. newton
D. acceleration of gravity
E. weight

Answers

Answer:

mass

Explanation:

The mass of an object is the same on the earth as it is on the moon.

Mass always remains constant, it never changes with respect to place.

Which of the following is NOT an example of force?
A. gravity
B. mass
C. a push
D. remain at rest

Answers

Answer:

D. remain at rest

Explanation:

D remain at rest because gravity is a force pulling you towards the earth mass is also a force push is also a type of force as you are applying it to an object so D is the answer

Suppose that a car speaker produces sound waves with a frequency of 4000 Hz. As the car speaker moves away from an observer, which of the
following occurs?

Answers

Frequency is reduced with the sound waves being less heard when the speaker moves away from an observer.

What is Frequency?

This is defined as the number of occurrences of a repeating event per unit of time.

As the speaker is moved away from the observer, the wavelength increases and the frequency decreases thereby resulting in less sound being heard.

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To travel at a constant speed, a car engine provides 24 KW of useful power. The driving force on the car is 600 N. At what speed does it travel?

Answers

[tex]\text{Given that,}\\ \\\text{Power,} ~P=24~ KW = 24000~ W\\\\\text{Force,} ~F=600~N\\\\\text{We know that,}\\\\P=Fv\\\\\implies v = \dfrac{P}{F} = \dfrac{24000}{600}=40~ ms^{-1}\\\\\\\text{It travels at 40 m/s}[/tex]

A bar of soap when weighed in air has a weight of 5,2N . When completely immersed in water , however it has a weight of 3,7N . What is the volume of the bar of soap

Answers

Answer:

A bar of soap when weighed in air has a weight of 5,2N . When completely immersed in water , however it has a weight of 3,7N . What is the volume of the bar of soap

An athlete lifts a 330 N set of weights from ground level to a position over her head, a vertical distance of 2.05 m. Assume the weights are moved at constant speed. a) How much work does the athlete do? b) What is the mass of the weights?​

Answers

Force=330NDistance=2.05m

Work done:-

Force×Displacement330(2.05)676.5J

Now

Apply Newtons second law

F=ma

m is mass

a is acceleration due to gravity (10)

330=10mm=33kg

An unbalanced force acting on an object will cause it to? A. Increase in mass. B. Decrease in mass. C. Accelerate. D. Remain at rest.

Answers

Answer:

I think the object would accelerate.

Explanation:

When the unbalanced force hits the object, it transfers some of its force to the object, making it accelerate

1. (30 pts) Let x(t) = cos(πt/2) be a continuous-time signal,
a. Sketch the signal for -4 b. Find the fundamental period of the signal (if it is periodic).
c. Determine if the signal is odd / even or neither.
d. Compute the energy of the signal for all time.
e. Compute the power of the signal for all time.

Answers

Given that the function of the wave is f(x) = cos(π•t/2), we have;

a. The graph of the function is attached

b. 4 units of time

c. Even

d. 4.935 J/kg

e. 1.234 W/kg

How can the factors of the wave be found?

a. Please find attached the graph of the signal created with GeoGebra

b. The period of the signal, T = 2•π/(π/2) = 4

c. The signal is even, given that it is symmetrical about the y-axis

d. The energy of the signal is given by the formula;

[tex] \frac{1}{2} \cdot \mu^{2} \cdot \omega ^{2} \cdot \: {a}^{2} \times \lambda[/tex]

Which gives;

E = 0.5 × 1.571² × 1² × 4 = 4.935 J/kg

e. The power of the wave is given by the formula;

E = 0.5 × 1.571² × 1² × 4 × 0.25 = 1.234 W/kg

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Calculations a technician performs for the CSP should be located on the O a) standard operating procedure (SOP). b) master formulation record (MFR). O) compounding record (CR). d) quality assurance

Answers

The calculations a technician performs for the CSP should be located on the master formulation record (MFR).

What is Master formulation record?

This is a master document which contains all information about the manufacturing process for the product.

This document contains all the calculations required to make the CSP thereby making option B the most appropriate choice.

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waves disturb a medium by causing the particles to_____.

Answers

Answer:

Oscillate

Explanation:

wave oscillates the particles of the medium around their equilibrium point.

When people are interested in changing their personalities, they are usually most interested in
a.more turbulent less feeling
b.more judging less extroverted
c.more neurotic less assertive
d. More extroverted less neaurotic

Answers

When people are interested in changing their personalities, they are usually most interested in more neurotic less assertive.

What is personality?

Personality makes up an individual, they are the features or characteristics that forms an individual.

Each individual is made of distinctive character which makes one of different from other.

Therefore, when people are interested in changing their personalities, they are usually most interested in more neurotic less assertive

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If the force generated by the car to push it forward is 8,000 N, what can be said about the force opposing the car’s motion?

Answers

According to Newton's third law

Ever action has a equal and opposite reaction.

So

[tex]\\ \rm\dashrightarrow F_{A}=-F_A[/tex]

Hence if applied force is 8000N opposing force is also 8000N

As car is pushed forward so the opposing force is less than 8000N

Answer:It is less than 8,000 N and greater than zero.

Explanation:

Which material is a good heat conductor ?​

Answers

Answer:

wood lighters gasoline hope it helps

Explanation:

A wheel rotates with a constant angular acceleration of 6.0 rad/s2. During a certain time interval its angular displacement is 8.0 rad. At the end of the interval its angular velocity is 14.0 rad/s. What is its angular velocity at the beginning of the interval

Answers

The angular velocity at the beginning of the interval of the wheel rotating  at a constant angular acceleration is determined as 10 rad/s.

Initial angular velocity of the wheel

The initial angular velocity of the wheel is determined by applying the kinematic equation as shown below;

ωf² = ωi² + 2αθ

where;

ωf is the final angular velocityωi is the initial angular velocityα is angular accelerationθ is angular displacement

Substitute the given parameters and solve for the initial angular velocity.

14² = ωi² + 2(6)(8)

196 = ωi² + 96

ωi² = 196 - 96

ωi² = 100

ωi = √100

ωi = 10 rad/s

Thus, the initial angular velocity of the wheel is 10 rad/s.

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Environment A is warm and gets lots of rain. Environment B is warmer and gets more rain year round. Identify Environment A.(2 points)

Tundra

Rainforest

Desert

Swamp

Answers

The Swamp
There are many websites that say the rainforest but the rainforest is warmer and gets rain year round and swamps are warm and gets lots of rain but not year round.

Answer:

Swamp

Explanation:

there were answers that said rainforest, but i got it wrong, so its swamp.

On a dusty day clean polished shoes attrack alot of dust.Explain this?​

Answers

Answer:

Because when we polish the shoes, they gain charges or the shoes become charged, the small non-charged particles are attracted to them.

Find out the three methods of energy transfer (conduction, convection and radiation). think about
2 situations of daily life where you know or think you know that each one applies

Answers

Explanation:

conduction- putting a metal spoon in fire

convection- boiling water. In ventilation

Radiation- suns heat reaches us by radiation. heat from fire place reaches us by radiation.

If a 40 N block is resting on a rough horizontal table with a
coefficient of static friction p=0.60, then what is the force of
static friction acting on the block?

Answers

Based in the relationship between static frictional force and coefficient of static friction, the force of static friction is 24 N.

What is friction?

Friction is a force that opposes the relative motion of an object moving over another at their surafce of contact.

Frictional force is constant for each type of material. This constant is known as coefficient of friction.

The coefficient of friction is given as follows:

Coefficient of friction = Frictional force/normal reaction

From the data given:

coefficient of static friction p = 0.60Weight of block = 40 N

Force of static friction = 0.60 × 40

Force of static friction = 24 N.

Therefore, the force of static friction is 24 N.

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What was the role of the rotors in the enigma machine?. Complete the sentence with the best spelling word.Once Danny signaled his _____ of the plan, everyone moved forward accordingly. If a train going 60 m/s hits the brakes, and it takes the train 85 seconds to stop, what isthe train's acceleration? I am so stressed! I barely have a minute to relax all day long. Before school, I go to swim practice, and after school, I work on the school newspaper and have piano lessons. On Saturday mornings, I volunteer at the local hospital. Then the rest of the weekend, I try to catch up on the schoolwork that I didnt have time for all week. I never see my friends, and I always eat on the run. Im starting to have headaches and stomachaches. What should I do?1. Identity (figure out) what you think is causing the persons stress.?2. How is the situation affecting the student's body?3. Provide one or two ways for reducing their stress.? 8. Example Eight 14.3The diagram below represents a cell.2Which organelle is the site where amino acids are synthesized into proteins?A.1B.2C.3D.4 During the halftime performance for a football game, the color guard is planning a new formation in which seven members stand around a central point and stretch their flag to the person immediately to their left. 10. what is the measure of each exterior angle of the formation? please help on these two pictures Can i get some help With This Please Which of the following is required for photosynthesis to take place? a. sugar b. oxygen c. atp d. water please select the best answer from the choices provided a b c d Please write this in 1 paragraph or 3-4 sentences thank you! Will give brainlyest Brainliest if correct Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism? first answer right gets brainliestList two Old Testament Scriptures (book, chapter, and verse) that were fulfilled with the triumphal entry of Jesus into Jerusalem.a. b. Simplify (cosx)(tanx)(cscx) THIS IS FOR U.S. GOVERNMENTUnlike the Speaker of the House, the president of the SenateA.is not elected by the Senate and may vote on any matter in the Senate.B.is elected by the Senate and may vote on any matter in the Senate.C.is elected by the Senate and may only vote to break a tie.D.is not elected by the Senate and may only vote to break a tie. Help me finish this please and thanks PLEASE HELP!!!!! ASSIGNMENT IS DUE TODAY What are three regions not able to be imperialized by the europeans to africa Choose the best word or phrase to complete each of the following sentences. 1. the patco strike involved 2. the workers who refused to return to the job were 3. sandra was the first woman to serve as a supreme court justice. In the seventh paragraph, the author concludes "a good Filet-O-Fish is hard to find byjustifying the changes made to the sandwich(conceding other menu items are equally deliciousidentifying the cause for the sandwich's rise in costDreliving the memories from her childhoodEacknowledging the flaws of the sandwich