g A thin-walled hollow cylinder and a solid cylinder, both have same mass 2.0 kg and radius 20 cm, start rolling down from rest at the top of an incline plane. The height of top of the incline plane is 1.2 m. Find translational speed of each cylinder upon reaching the bottom and determine which cylinder has the greatest translational speed upon reaching the bottom. Moment of inertia of hollow cylinder about its axis passing through the center is mr2 and for solid cylinder mr2/2

Answers

Answer 1

Answer:

a. i. 3.43 m/s ii. 2.8 m/s

b. The thin-walled cylinder

Explanation:

a. Find translational speed of each cylinder upon reaching the bottom

The potential energy change of each mass = total kinetic energy gain = translational kinetic energy + rotational kinetic energy

So, mgh = 1/2mv² + 1/2Iω² where m = mass of object = 2.0 kg, g =acceleration due to gravity = 9.8 m/s², h = height of incline = 1.2 m, v = translational velocity of object, I = moment of inertia of object and ω = angular speed = v/r where r = radius of object.

i. translational speed of thin-walled cylinder upon reaching the bottom

So, For the thin-walled cylinder, I = mr², we find its translational velocity, v

So, mgh = 1/2mv² + 1/2Iω²

mgh = 1/2mv² + 1/2(mr²)(v/r)²  

mgh = 1/2mv² + 1/2mv²

mgh = mv²

v² = gh

v = √gh

v = √(9.8 m/s² × 1.2 m)

v = √(11.76 m²/s²)

v = 3.43 m/s

ii. translational speed of solid cylinder upon reaching the bottom

So, For the solid cylinder, I = mr²/2, we find its translational velocity, v'

So, mgh = 1/2mv'² + 1/2Iω²

mgh = 1/2mv² + 1/2(mr²/2)(v'/r)²  

mgh = 1/2mv'² + mv'²

mgh = 3mv'²/2

v'² = 2gh/3

v' = √(2gh/3)

v' = √(2 × 9.8 m/s² × 1.2 m/3)

v' = √(23.52 m²/s²/3)

v' = √(7.84 m²/s²)

v' = 2.8 m/s

b. Determine which cylinder has the greatest translational speed upon reaching the bottom.

Since v = 3.43 m/s > v'= 2.8 m/s,

the thin-walled cylinder has the greatest translational speed upon reaching the bottom.


Related Questions

a sprinter accelerates from rest to 14m/s in 1.38 s. what is her acceleration in km/h^2

Answers

The acceleration of the sprinter is approximately 131,426 km/h^2.

To find the acceleration in km/h^2, we need to convert the units from meters per second (m/s) to kilometers per hour (km/h) and adjust the time units accordingly. Here's the step-by-step calculation:

1. Convert the final velocity from m/s to km/h:

  14 m/s * (3.6 km/h) / (1 m/s) = 50.4 km/h

2. Convert the time from seconds (s) to hours (h):

  1.38 s * (1 h) / (3600 s) = 0.0003833 h

3. Calculate the acceleration using the formula:

  Acceleration = (Final velocity - Initial velocity) / Time

Since the initial velocity is 0 m/s (rest), we have:

Acceleration = (50.4 km/h - 0 km/h) / 0.0003833 h

Acceleration = 131425.955 km/h^2

For more such questions on acceleration,click on

https://brainly.com/question/460763

#SPJ8    

Which well will give the most water.

YOU WILL GET 50 POINTS

Answers

The well that will have most of the water will be well A.

What is an underground water supply?

The underground water supply is defined as a type of water that exists underground in saturated zones beneath the land surface.

From the two wells represented in the diagrams above, Well A has water supply from underground which is lacking in well B.

Therefore, well A will have most of the water more than B.

Learn more about water cycle here:

https://brainly.com/question/25796102

#SPJ1

1- charging by touch occurs when electrons are transmitted by direct contact.
(Right)
(wrong)

2- Electric charges are preserved, they are not created or destroyed.
(Right)
(wrong)​

Answers

Answer:

#1 - True (touch) charging when electric conductors actually touch one another.

#2. True - electrical charges are conserved (not destroyed)

On the map, which major plate is flanked by the red sea rift and the Minor Arabian Plate?


A:#1 North American Plate

B:#3 South American Plate

C:#5 Eurasian Plate

D:#2 African Plate

Answers

Answer:

D:#2 African Plate

Explanation:

The African Plate is flanked by the Red sea rift and the minor African plate.

The Red sea rift is a small part of a greater line of rifts known as the Great African Rift Valley. The rift valley is making several small lakes all through Africa and it will eventually split up the African continent.

The Red sea lift is the divergent boundary between the African plate and the Arabian plate. It means that the two plates are moving apart or spreading apart.

Please solve this and please don’t put in a link.

Answers

Answer:

synthesis

Explanation:

It is a combination (synthesis) reaction.

A+B→AB

Answer:

  i think it is a synthesis

Explanation:

synthesis reaction occurs when two substances combine and form a compound...

hope this helps!!

An object was thrown from rest upward with an initial velocity of 10m/s with time frame of 6s find the distance of the object from it's resting point​

Answers

Answer:

60

Explanation:

Work Done= Force×Displacement in the direction of the force

W.D. = 10×6

W.D. = 10×0.6

W.D. = 6m

What is the speed of a ball that is attached to a string and swings in a horizontal circle of radius 2.0 m with the central acceleration of 15 m/s^2?

Answers

Answer:

5.48 m/s.

Explanation:

Use the formula a=v^2/r.

A 2.0-kg cart is rolling along a frictionless, horizontal track towards a 1.8-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is 5.9 m/s, and the second cart's velocity is -2.7 m/s. (a) What is the total momentum of the system of the two carts at this instant

Answers

Answer:

the total momentum of the system before collision is 6.94 kgm/s

Explanation:

Given;

mass of the first cart, m₁ = 2.0 kg

mass of the second cart, m₂ = 1.8 kg

velocity of the first cart before collision, u₁ = 5.9 m/s

velocity of the second cart before collision, u₂ = -2.7 m/s

The total momentum of the system before collision is calculated as follows;

[tex]P_t = P_1 + P_2 \\\\P_t = m_1u_1 + m_2u_2\\\\P_t = (2\times 5.9) + (1.8 \times -2.7)\\\\P_t = 11.8 - 4.86\\\\P_t = 6.94 \ kgm/s[/tex]

Therefore, the total momentum of the system before collision is 6.94 kgm/s

If a 75 W lightbulb is 15% efficient, how many joules of light energy does the bulb produce every minute?

Answers

Answer:

1 W = 1 J / sec       Definition of watt is 1 joule / sec

So if a bulb uses 75 J / sec it must use

75 J/s * 60 sec / min = 4500 J/min    energy used by bulb

If bulb is 15% efficient then the light delivered is

P = 4500 J / min * .15 = 675 J / min

Guys please help. I need this question

Answers

I think it is 6!!!!!!!!!!!
6!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How would increasing the pressure of this reaction affect the equilibrium

Answers

Explanation:

c because there is element

Answer:

C. H2 and N2 would react to produce more NH3

Explanation:

A.P.E.X

A water balloon weighing 4.5 N rests on a table. The balloon has an area of 2.6 x 10-3
m² in contact with the table. What pressure does the balloon exert on the table?

Answers

Answer:

the pressure the balloon exerts on the table is 1,730.77 N/m²

Explanation:

Given;

weight of the water balloon, F = 4.5 N

area of the balloon, A = 2.6 x 10⁻³ m²

The pressure the balloon exerts on the table is calculated as follows;

[tex]P = \frac{F}{A}[/tex]

substitute the given values and solve for pressure, P;

[tex]P = \frac{4.5}{2.6 \times 10^{-3}} \\\\P = 1,730.77 \ N/m^2[/tex]

Therefore, the pressure the balloon exerts on the table is 1,730.77 N/m²

Which of the
following
DECREASES
as you go UP a
mountain?
A. climate
B. altitude
C. amount of oxygen
D. buoyancy

Answers

C. Amount of oxygen

The others either change but don’t decrease or they increase.

Answer:

C. Amount of oxygen

Explanation:

Options A and D are invalid as they aren't affecting factors.

Option B is false as the altitude increases as you go up a mountain.

Option C is true as the air pressure (atmospheric pressure) is inversely proportional to the height/altitude of the mountain.

What is the force between two 1.0 X 10^-5 C charges separated by 2.0 m?

Answers

According to Coulomb's law, the force between the given charges is 0.225N which is explained below.

Coulomb's Law:

Force on two identical charges q separate by a distance of r is given by:

F = kq²/r²

where k is Coulomb's constant

q is the charge

r is the separation between the charges

Given that q = 1×10⁻⁵C,

and r = 2m

So, the force between the given charges will be:

F = (9×10⁹)(1×10⁻⁵)²/2²

F = 0.225N is the required force.

Learn more about Coulomb's law:

https://brainly.com/question/506926?referrer=searchResults

A +0.0129 C charge feels a 4110 N
force from a -0.00707 C charge. How
far apart are they?
[?] m

Answers

Answer:

r = 14.13 m

Explanation:

Given that,

Charge 1, q₁ = +0.0129 C

Charge 2, q₂ = -0.00707 C

The force between charges, F = 4110 N

We need to find the distance between charges. The formula for the force between charges is given by :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]

Where

r is the distance between charges

So,

[tex]r=\sqrt{\dfrac{kq_1q_2}{F}} \\\\r=\sqrt{\dfrac{9\times 10^9\times 0.0129 \times 0.00707 }{4110 }} \\\\r=14.13\ m[/tex]

So, the distance between charges is equal to 14.13 m.

Answer:

14.13 m

Explanation:

acellus

Pls help will mark Brainliest

Answers

I want to say the answer is 100

A spring has a spring constant of 450 N/m. How much must this spring be stretched to store 49 J of potential energy?

Answers

Answer:

W = 1/2 K x^2

x^2 = 2 * W / K = 2 * 49 J / (N/m)  = .218 / m^2

x =  .467 m

PLEASE HELP!! :)
Which of the following options would increase the electric force the most?

a. tripling the charge on one particle

b. changing the sign of one of the particles.

c. doubling the charge on one particle

d. doubling the charge on both particles

Answers

Im not sure but i guess you should try A

What do thermal energy and electrical energy have in common

Answers

Answer:

you can write some points its an explanation

and similarities. or common

Explanation:

Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy. A whole branch of physics, thermodynamics, deals with how heat is transferred between different systems and how work is done in the process (see the 1ˢᵗ law of thermodynamics).

The faster the atoms or molecules move, the more heat or thermal energy they have. ... A hair straightener turns the electrical energy from a wall outlet into heat (thermal energy). 4. As electricity runs through the filaments in a space heater, the electrical energy is converted into heat (thermal energy).

if 400g is 1kg find the ratio in the simplest form​

Answers

2:5

Explanation:

400g : 1kg

400g: 1000g

4 : 10

2 : 5

Review please help.

Answers

Answer:

1 and 3

Explanation:

because they are going up from 0

The low pressure area near Earth's equator is filled by cool air moving in from
А
Europe and South America
B
the North and South Pole
с
the Prime Meridian
D
the Atlantic and Pacific Ocean

Answers

The answer is A! Europe and South America

An object, with mass 64 kg and speed 14 m/s relative to an observer, explodes into two pieces, one 2 times as massive as the other; the explosion takes place in deep space. The less massive piece stops relative to the observer. How much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame

Answers

Answer:

 K_f = 1881.6 J

Explanation:

To solve this exercise, let's start by finding the velocities of the bodies.

We define a system formed by the initial object and its parts, with this the forces during the explosion are internal and the moment is conserved

initial instant. Before the explosion

        p₀ = M v₀

final instant. After the explosion

        p_f = m₁ v + m₂ 0

the moeoto is preserved

         p₀ = p_f

         M v₀ = m₁ v

         v = [tex]\frac{m_1}{M}[/tex]  v₀

in the exercise they indicate that the most massive part has twice the other part

         M = m₁ + m₂

         M = 2m₂ + m₂ = 3 m₂

         m₂ = M / 3

so the most massive part is worth

        m₁ = 2 M / 3

we substitute

        v = ⅔ v₀

with the speed of each element we can look for the kinetic energy

initial

         K₀ = ½ M v₀²

Final

         K_f = ½ m₁ v² + 0

         K_f = ½ (⅔ M) (⅔ v₀)²

         K_f = [tex]\frac{8}{27}[/tex] (½ M v₀²)

         K_f = [tex]\frac{8}{27}[/tex]  K₀

the energy added to the system is

         ΔK = Kf -K₀

         ΔK = (8/27 - 1) K₀

         ΔK = -0.7 K₀

         K_f = K₀ + ΔK

         K_f = K₀ (1 -0.7)

         K_f = 0.3 K₀

let's calculate

         K_f = 0.3 (½ 64 14²)

         K_f = 1881.6 J

Select the correct answer Which object is an insulator

A. iron
b. cooper
c. plastic
d. salt water​

Answers

c. plastic. plastic is an insulator!
C is the answer to the question

Balance the equation by choosing the correct coefficient numbers in the drop down menus.
[Select]
SO2 +
[Select]
VH₂ →
[Select]
S +
[ Select]
H20
It is suggested you write this on scratch paper and balance it before choosing your answers :)

Answers

Answer:

SO₂ + 2H₂ —> S + 2H₂O

The coefficients are: 1, 2, 1, 2

Explanation:

SO₂ + H₂ —> S + H₂O

The above equation can be balance as follow:

SO₂ + H₂ —> S + H₂O

There are 2 atoms of O on the left side and 1 atom on the right side. It can be balance by writing 2 before H₂O as shown below:

SO₂ + H₂ —> S + 2H₂O

There are 2 atoms of H on the left side and 4 atoms the right side. It can be balance by writing 2 before H₂ as shown below:

SO₂ + 2H₂ —> S + 2H₂O

Now, the equation is balanced.

The coefficients are: 1, 2, 1, 2

The graph shows the heating curve of water the X axis shows heat added overtime and Y axis shows the temperature identify the regions were liquid water is present

Answers

Answer:

liquid, solid, and gas. A heating curve shows how the temperature changes as a substance is heated up at a constant rate.

Explanation:

liquid is often the bridge between solid and gas

not always, but most times.

For water, liquid water would probably be at temperature Y= 32- 212 degrees F, or Y= 0-100 degrees C.

Apologies, I hope this helps.

What kind of energy is in a moving skateboard

Answers

Answer:

I guess it is kinetic energy

Answer:

kinetic energy because my dog told me

_____is the nitrogen base found only in DNA.

Answers

Answer:

thymine

Explanation:

The nitrogen base found only in DNA is known as thymine which is also called 5-methyl uracil as thymine is a derivative of uracil.

An object undergoing simple harmonic motion takes 0.15 s to travel from one point of zero velocity to the next such point. The distance between those points is 30 cm. (a) Calculate the period of the motion. s (b) Calculate the frequency of the motion. Hz (c) Calculate the amplitude of the motion. cm

Answers

Answer:

Explanation:

Point of zero velocity are extreme points situated on either side of equilibrium position .

a )

Time taken to travel between these two points is .15 s

time for half the oscillation = .15 s

Time for full one oscillation = .30 s .

Time period of oscillation = .30 s

b)

frequency = 1 / time period

= 1 / .30s = 3.33 oscillation per second.

c )

Distance between these two point is equal to two times amplitude

2 x amplitude = 30 cm

amplitude = 15 cm

Are all harmful effects of smoking reversible? Explain your answer.

Answers

I don’t think so, becuase is a big damage that can’t be repaired easily
Other Questions
walker suggests that most of the time, the system operates in a chaotic and arbitrary manner. The Earth's asthenosphere is a structural layer A. that is made of the crust and the uppermost part of the mantle. B. that is contained completely within the crust. C. that is contained completely within the upper mantle. D. that is made of the mantle and the uppermost part of the crust. This native of Houston, Texas, served as the Secretary of the Treasury (1985-1988)under Ronald Reagan, Secretary of state (1989-1992) under George H.W. Bush, andthe Chief of Staff for both Reagan (1981-1985) and G.H.W. Bush (1992-1992).A.) John GarnerB.) James BakerC.) Sul RossD.) Sam Houston How many protons are in nitrogen Please give me an accurate answer.Only answer if you're very good at History.Please don't put a link to a website.Do you think it is right to protect sites along "The Trails of Tears"?Yes or No and Why. Forensic investigator Adams is working on a crime scene involving the use of a very rare explosive. She already knows that she needs to find out who set the explosive. Following the scientific method what would be her next step in solving this mystery? Form a hypothesis about the person who bought the explosive Conclude that the homeowner set the explosive Collect some data about the distribution of the explosive Hand over her work to the police so that they can make an arrest if the yield curve is downward sloping, which of the following statements is correct? (hint: graph the yield curves for a t-bond, a aaa bond, and a b bond) Kristy owns a firm that produces cakes. The table shows the firm's total product schedule.If Kristy increases the number of workers employed from 3 to 4, what is the marginal product of labor?If she increases the number of workers employed from 4 to 5, what is the marginal product of labor?If Kristy increases the number of workers employed from 3 to 4, the marginal product of labor is _____ cakes an hour.If she increases the number of workers employed from 4 to 5, the marginal product of labor is _____ cakes an hour.Labor (worker) Output0 0 1 102 243 384 465 506 62 Element X decays radioactively with a half life of 11 minutes. If there are 870 gramsof Element X, how long, to the nearest tenth of a minute, would it take the element todecay to 154 grams?y = a(.5) t/h Question 8 7 pts is the following statement true or false? Explain your answer. An increase in income will lead to a rightward shift of the demand curve of normal product X, which increases the price Think of a team that you have been on. Reflect on the meetings/interactions/decisions that this team has made. Based on this team, answer the following questions:Where has your team experienced groupthink? Explain the situation.Of the 8 symptoms of groupthink identified in the online lecture video in week 3.1, which were present in your group? Which of these is an example of qualitative data? A how many books your classmates read this year B. your classmates' favorite books C. how much a book costs at the store D. how many pages your favorite book has Excerpt from Invisible Man by Ralph EllisonRead the passage and then select which two statements best describe a central idea in the passage?It goes a long way back, some twenty years. All my life I had been looking for something, and everywhere I turned someone tried to tell me what it was. I accepted their answers too, though they were often in contradiction and even self-contradictory. I was naive. I was looking for myself and asking everyone except myself questions which I, and only I, could answer. It took me a long time and much painful boomeranging of my expectations to achieve a realization everyone else appears to have been born with: That I am nobody but myself. But first I had to discover that I am an invisible man!And yet I am no freak of nature, nor of history. I was in the cards, other things having been equal (or unequal) eighty-five years ago. I am not ashamed of my grandparents for having been slaves. I am only ashamed of myself for having at one time been ashamed. About eighty-five years ago they were told that they were free, united with others of our country in everything pertaining to the common good, and, in everything social, separate like the fingers of the hand. And they believed it. They exulted in it. They stayed in their place, worked hard, and brought up my father to do the same. But my grandfather is the one. He was an odd old guy, my grandfather, and I am told I take after him. It was he who caused the trouble. On his deathbed he called my father to him and said, "Son, after I'm gone I want you to keep up the good fight. I never told you, but our life is a war and I have been a traitor all my born days, a spy in the enemy's country ever since I give up my gun back in the Reconstruction. Live with your head in the lion's mouth. I want you to overcome 'em with yeses, undermine 'em with grins, agree 'em to death and destruction, let 'em swoller you till they vomit or bust wide open." They thought the old man had gone out of his mind. He had been the meekest of men. The younger children were rushed from the room, the shades drawn and the flame of the lamp turned so low that it sputtered on the wick like the old man's breathing. "Learn it to the younguns," he whispered fiercely; then he died.But my folks were more alarmed over his last words than over his dying. It was as though he had not died at all, his words caused so much anxiety. I was warned emphatically to forget what he had said and, indeed, this is the first time it has been mentioned outside the family circle. It had a tremendous effect upon me, however. I could never be sure of what he meant. Grandfather had been a quiet old man who never made any trouble, yet on his deathbed he had called himself a traitor and a spy, and he had spoken of his meekness as a dangerous activity. It became a constant puzzle which lay unanswered in the back of my mind. And whenever things went well for me I remembered my grandfather and felt guilty and uncomfortable. It was as though I was carrying out his advice in spite of myself. And to make it worse, everyone loved me for it. I was praised by the most lily-white men of the town. I was considered an example of desirable conductjust as my grandfather had been. And what puzzled me was that the old man had defined it as treachery. When I was praised for my conduct I felt a guilt that in some way I was doing something that was really against the wishes of the white folks, that if they had understood they would have desired me to act just the opposite, that I should have been sulky and mean, and that that really would have been what they wanted, even though they were fooled and thought they wanted me to act as I did. It made me afraid that some day they would look upon me as a traitor and I would be lost. Still I was more afraid to act any other way because they didn't like that at all. The old man's words were like a curse.Which two statements best describe a central idea in the passage?Group of answer choicesthe importance of following the rules in order to fit into societythe barbaric nature of slaverythe struggle to find ones identitythe emptiness left behind by the loss of a loved onethe effects of the Civil War on the lives of African Americansthe complicated nature of race relations in the United States what is 7 8/9 written as a decimal true or false enthalpy is defined as the change in heat at constant pressure In 2021, Southwestern Corporation completed the treasury stock transactions listed below. February 2: Reacquired 60,000 shares at $11.00. March 17: Sold 10,000 shares at $13.50. May 17: Sold 15,000 shares at $7.50. Southwestern had issued 100,000 shares of its $1 par common stock for $10 several months ago. Required: Prepare the journal entries to record the above transactions, using the cost method. Tyrone is working with two other students to build a border around the schools triangular garden. Each student brought in one side of the border, but they all used different units to measure the side lengths. The first side is 312 inches long, the second side is 20 feet long, and the third side is 12 yards long. If the measurements need to be in feet, will the three border pieces make a right triangle?Convert the third side into feet using a proportion. What strategies should writers use to help organize their ideas for an informational essay?Select all that apply.A. Make an idea map.B. Make an outline.C. Create a research plan.D. Create a thesis statement. Match the correct term to its definition.Fomite E. Portal of exitVector F. ZoonoticReservoir G. Incubation periodPortal of entry34. _______ Site where infectious agent enters the body35. _______ Disease transmitted through an animal bite36. _______ Population or environment in which pathogen lives and reproduces and on which it depends on its survival37. _______ Inanimate object covered in disease-causing agent38. _______ Interval between exposure to pathogen and first signs and symptoms of disease39. _______ Site where infectious agent leaves the body40. _______ Living insect or animal involved with disease transmission HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP