Consider two cylinders that start down identical inclines from rest except that one is frictionless. Thus one cylinder rolls without slipping, while the other slides frictionlessly without rolling. They both travel a short distance at the bottom and then start up another incline. (a) Show that they both reach the same height on the other incline, and that this height is equal to their original height. (b) Find the ratio of the time the rolling cylinder takes to reach the height on the second incline to the time the sliding cylinder takes to reach the height on the second incline. (c) Explain why the time for the rolling motion is greater than that for the sliding motion.

Answers

Answer 1

Answer:

a)  m*g*hi = m*g*hf [tex]_{f}[/tex]

         h[tex]_{i}[/tex] = h

b)  ratio = 1.22

c) the potential energy is converted to both rotational kinetic energy and translational kinetic energy

Explanation:

For a frictionless system : initial energy = final energy

i.e. Ei = Ef

a) Prove

Total Initial energy for First cylinder ( Ei ) = m*g*hi      

The final energy of the first cylinder ( Ef ) = m*g*hf

and this energies are purely potential energies

According to conservation of energy :

m*g*hi = m*g*hf

         hi = hf   ( and this holds for both cylinders because they where both kept at the same height initially  )

i.e. initial height = final height ( hence it is proved that both cylinders will reach their initial heights )

b) Determine the ratio of the time taken by both cylinders

lets assume height of incline ( h ) = Lsin[tex]\beta[/tex]

where L = distance covered by cylinder

Final velocity of first cylinder ( V1 )  = [tex]\sqrt{\frac{4}{3} gLsin\beta }[/tex]  

Final velocity of  second cylinder ( V2 ) = [tex]\sqrt{2gLsin\beta }[/tex]

( following the application of the law of conservation of energy )

Given that ; Time taken = displacement / velocity  

hence the ratio = ( h / v1 ) / ( h / v2 )

where h = Lsin[tex]\beta[/tex]

the ratio = 1.22

c) The time for the rolling motion is greater than the time for the sliding motion because the potential energy is converted to both rotational kinetic energy and translational kinetic energy


Related Questions

Una bola se lanza verticlamente de la parte superior de un edificio con una velocidad inicial 25 m/s la bola impacta al suelo en la base del edificio 7 segundos despues de ser lanzada ¿que altura subio la bola

Answers

Answer:

S = 415.1 meters

Explanation:

Dados los siguientes datos;

Velocidad inicial = 25 m/s

Tiempo, t = 7 segundos

Para encontrar la altura (desplazamiento) de la pelota, usaríamos la segunda ecuación de movimiento;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Dónde;

S representa el desplazamiento o altura medida en metros.

u representa la velocidad inicial medida en metros por segundo.

t representa el tiempo medido en segundos.

a representa la aceleración medida en metros por segundo cuadrado.

Sustituyendo en la ecuación, tenemos;

[tex] S = 25*7 + \frac {1}{2}*(9.8)*7^{2}[/tex]

[tex] S = 175 + 4.9*49 [/tex]

[tex] S = 175 + 240.1 [/tex]

S = 415.1 meters

A force of 120 N is acting on a surface of area 100 cm 2 . Calculate the pressure acting on the surface.

Answers

Answer:

Thrust is the force acting normally to a surface. So, Thrust = 1200 N. And , Pressure = Thrust / Area. = 1200 / 0.001. = ...

Explanation:

this right like me

Wo do u think the best male tennis player currently still playing?

1. Rafael nadal
2.Roger federer
3.Novak Djokovic

Answers

Answer:

--..-...-...-.---..-...-...

Answer: right now its djokovic

Explanation:

I am a federer and nadal fan but djokovic is dominating. federer has retired and nadal isnt at his best due to injuries and his age.

A disturbance that generates a wave may be a simple pulse or shock

True or false

Answers

Answer:

That would be true.

-- a bell starts ringing (wave) when you tap it (simple pulse)

-- a pond starts rippling (wave) when a stone drops in (simple shock)

-- a guitar strings starts waving when you pluck it

Define atmospheric pressure

Answers

Answer:

tmospheric pressure, force per unit area exerted by an atmospheric column (the entire body of air above the specified area)

Sunlight is a form of electromagnetic energy.


Please select the best answer from the choices provided

T
F

Answers

Answer: True

Explanation: Hope this helps :)

3 ways objects can be grouped are

Answers

Answer:

Transparent = lets light pass through without significant interference

Translucent = lets light pass through with significant interference

Opaque = Doesn't let light pass, instead absorbs it

An organism with the alleles Aa is called __________, while one with AA or aa is called __________.

A. heterozygous, hom/ zygous
B. heterozygous, homo/zygous

Answers

Answer:

Hetefrozygous, homofzygous

How much power is needed to lift a 20-kg object to a height of 4.0 m in 2.5 seconds?

Answers

Answer:

313.92w

Explanation:

Formula for power:

P=W/∆t = Fv

Givens:

m=20kg

∆y=4.0m

∆t=2.5s

a=9.81m/s²

In order to find power, we first need to solve for work.

W=Fd (force*displacement), f=mg

W=mg∆y

W=(20kg)(9.81m/s²)(4.0m)

W=784.8J

P=W/∆t

P=784.8J/2.5s

P=313.92 watts

Define heat according to molecular theory .​

Answers

I think ....... the answer will be ......

like a theory

what is the mass of modelling clay?​

Answers

the mass of modelling clay is 500g

The modeling clay mass white 500g

13.If a jet plane with a velocity of 20 m/s at t = 0 accelerates at a rate of 40 m/s²
for 3 seconds, what is its veloaty at time = 3 seconds?​

Answers

Answer:

140m/s

Explanation:

V=V0+at. V=20+40*3=140m/s

I need help plssss!!!!

Answers

Answer:

C

Explanation:

The other answers don’t make sense

In a series circuit, there is a 2-ohm resistor with a current of 5A. If there is another resistor with a resistance of 5 ohms, what is the current inside that resistor?

Answers

Answer:

if 2ohms gives 5A

then 5ohms will give 12.5A

since its directly proportional

V=IR

Could someone please help me..?
The effect an electric charge has on other charges in the space around it is the charge's:
friction
electric current
electric field
induction

Answers

The answer is electric field.

A block of size 100cmX50cm applies a force of 100N on the ground. Calculate the pressure
exerted by the block on the ground.
(2 Points)​

Answers

Answer:

200 N/m²

Explanation:

Pressure = Force / Area

Force =100N

Area = 100cm x 50 cm= 5000cm² =0.5m²

Hence Pressure = 100N / 0.5m²

Pressure = 200N/m²

Plzzz help!! A stationary speed gun emits a
microwave beam at 2.10x1010 Hz. It
reflects off a car and returns 1030 Hz
higher. What is the speed of the car?
(Unit = m/s)

Answers

Answer:

The speed of the car is 14.7m/second or 15 m/second approximately.

Explanation:

A microwave beam at [tex]2.10\times10^1^0Hz[/tex] is generated by a stationary speed gun. It bounces off a car and returns at a higher frequency of 1030 Hz. The car's observed frequency would be the product of adding the two frequencies. That is to say,

       F =[tex]2.1\times10^1^0+1030[/tex] =[tex]2.100000103\times10^1^0Hz[/tex]

Using doppler effect formula

[tex]F=\frac{C}{C-V}\times f[/tex]

Where

F = observed frequency

f = source frequency

C = speed of light = [tex]3\times10^8[/tex]

V = speed of the car

 Putting the values in the formula -

        [tex]2.100000103\times10^1^0=\frac{3\times10^8}{3\times10^8-V}\times2.1\times 10^1^0[/tex]

                 [tex]\frac{2.100000103\times10^1^0}{2.1\times10^1^0}[/tex] [tex]=\frac{3\times10^8}{3\times10^8-V}[/tex]

          [tex]1.000000049=\frac{3\times10^8}{3\times10^8-V}[/tex]

by cross multiplication ,

   300000014.7 - 1.000000049V = [tex]3\times10^8[/tex]

    Collect the like terms  

1.000000049V = 14.71429

      Make V the subject of formula

V = [tex]\frac{14.71429}{1.000000049}[/tex]

V = 14.7 m/s

Therefore , the speed of the car is 15m/second approximately.

             

If the velocity of a car is 45km/h west, how far can it travel in 0.5 hours

Answers

Answer:

22.5km

Explanation:

Since 0.5 of an hour is half of an hour, you have to divide 45 by half, and you would get 22.5 km

5. What is the velocity of a 0.5 kg ball that has a momentum of 3.00 kg m/s?

Answers

Answer:

6 m/s

Explanation:

p=mv

p=3 kg.m/s

m=0.5 kg

rearrange and substitute to find v:

(3)=(0.5)v

v=3/0.5

v=6 m/s

Why is the global temperature increasing? Explain the science behind it.

Answers

Because global warming.

Global warming is the long-term heating of Earth's climate system observed since the pre-industrial period (between 1850 and 1900) due to human activities, primarily fossil fuel burning, which increases heat-trapping greenhouse gas levels in Earth's atmosphere.

will mark as brainliest . pls help

Answers

Answer:

answer D

Explanation:

circuit breaker is useful when you do something with your domestic electric circuit..

Where is the most and the least KENETIC ENERGY

Answers

Answer:

Where is kinetic energy the least?, and most?

Explanation:

Least : When the Moon is farthest from Earth in its nearly elliptical orbit, its speed is least. Its kinetic energy has become least, and its potential energy is greatest.

Further : Kinetic energy, form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

May be different for you, but i really hope I helped out.

Un tren de alta velocidad (TAV) o tren bala es aquel que alcanza velocidades iguales o superiores a 200 km/h. La energía que tiene el tren en su recorrido habitual es: *

Answers

Answer:

B. Cinética, debido a que esta energía está asociada con la velocidad que posee el tren.

Explanation:

Un tren de alta velocidad (TAV) o tren bala es aquel que alcanza velocidades iguales o superiores a 200 km/h. La energía que tiene el tren en su recorrido habitual es

A. Cinética, debido a que existen trenes elevados los cuales poseen altura y la altura está asociada con la energía cinética.

B. Cinética, debido a que esta energía está asociada con la velocidad que posee el tren.

C. Rápida, porque la energía cinética es sinónimo de rápido.

D. Potencial, debido a la potencia que tiene el tren para moverse.

Solution:

La energía cinética es la energía contenida en un objeto en movimiento. La energía cinética se puede definir como la cantidad de energía necesaria para que un objeto se acelere desde el reposo hasta su velocidad final.

La energía cinética (KE) viene dada por:

KE = (1/2) * masa * velocidad²

Podemos ver que la energía cinética depende de la masa del objeto y la velocidad del objeto.

El tren de alta velocidad posee energía cinética debido a la velocidad del tren.

who invented Pascal??​

Answers

What the guy above me said

does a wall or door have more inertia?

Answers

Answer:

door

Explanation:

Define 1 pascal pressure ​

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

A pascal is a pressure of one newton per square metre, or, in SI base units, one kilogram per metre per second squared. For example, standard atmospheric pressure (or 1 atm) is defined as 101.325 kPa. The millibar, a unit of air pressure often used in meteorology, is equal to 100 Pa.

Hope it helps you,

mark me brainliest plz.....

Follow me! :)

pascal is the SI unit of pressure symbolized by Pa

1 Pa=1N/m^2

1Pa=1kg/ms^2

What is a key difference between transverse and longitudinal waves?

A.) Transverse move up and down while longitudinal can do in any direction.

B.) Transverse can e described as troughs and crest while, longitudinal waves can be described as compression and rarefactions.

C.) There is no difference, it depends on the scientific uses and calculations involved.

D.) Transverse waves can only represent sound while longitudinal are represented by ocean waves, light and other waves​

Answers

B, is the answer to the question

Answer:

B.) Transverse can e described as troughs and crest while, longitudinal waves can be described as compression and rarefactions.

Use the term chemical bond in a complete sentence

Answers

Rust, iron oxide, is weak mechanically although its chemical bonds are strong.

Neptune and Uranus are called the "ice giants" due to the presence of ice on their surface. Which is a reasonable explanation for why there aren't any ice giants in the group of terrestrial planets? A. They have rocky surfaces. B. They do not have rings. C. They are too close to the sun.

Answers

Answer:

C. They are too close to the sun.

Explanation:

Due to their relative location the gas giant such as neptune and Uranus are mostly cold and icy planets as they are located deep into the solar system and have large distance firm the sun.As compared to those of the earth and other rocky planets. Due to their distance they consist of primitive atmosphere and have slow rotation and movement.

It's almost always difficult to select healthy foods at a fast-food restaurant. O True O False​

Answers

Answer:

yes

Explanation:

because its most likely to have chucks than heathy food
Other Questions
What is the HCF of 21mn - 14mn + 35mn ? 2.What is one of the main causes of conflict between Palestinian Arabs and the Israeli government?Adisagreements over Palestinian support for Iranian intervention in SyriaBdisagreements over Israel's support for the oppressive Syrian governmentdisagreements over who the land occupied by Israel legally belongs toDdisagreements over whether to pursue communist or capitalist ideals 150 students were surveyed to see what sport they play what percentage plays soccer evaluate 11P4 and 9C5 Yankee Express is offering qualified customers a new credit card that offers an introductory rate of .5 percent per year, compounded monthly for the first 6 months, then increasing to 17.3 percent compounded monthly. Assume you transfer a balance of $6,300 from your existing credit card to Yankee Express, and make no subsequent payments. How much credit card interest will you owe at the end of the first year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Which product of prime polynomials is equivalent to 3x4 81x?3x(x 3)(x2 3x 9)3x(x 3)(x2 + 3x + 9)3x(x 3)(x 3)(x + 3)3x(x 3)(x + 3)(x + 3) A car covers 400m distance in 50 sec find it's speed? Please help! Directions are in the top box! Will thank and give brainliest to the correct answers. Will report anyone fishing for points! need help for this question pls urgent Here are the marks of a student in four exams. 65 80 76 69The student takes a fifth exam.His mean mark for the five exams is 70Work out his mark in the fifth exam. 25% of 275 is 68.85 math, i can give you brainliset just help me with the two questions :) How many solutions does the nonlinear system of equations graphed belowhave? What is the gcf of 16xy and 24xyI was supposed to finish this an hour ago help i need the answers by tomorrow UGRENT! Please help showing all work Please help will give BRAINLIEST In what ways were economic difficulties a factor in the rise of Nazi's political power? Question 4 (1 point)What is the value of x?30A. 4 sqrt 3B. 16C. 4D. 8 sqrt 3 find the values of the following(a) -54+3-6 Photosynthesis and cellular respiration both involve the Jews and release of gases was semi-correct identifies the role of gases in the two process?