A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long.
A.) calculate its translational speed when it reaches the bottom.
B.) Calculate its rotational speed when it reaches the bottom.
C.) what is the ratio of translational to rotational kinetic energy at the bottom?

Answers

Answer 1

Answer:

Explanation:

It depends on the construction of the sphere.

Let's ASSUME it is uniform construction with a moment of inertia (2/5)mR²

The Change in potential energy will equal the change in kinetic energy

mgh = ½mv² + ½Iω²

mgh = ½mv² + ½((2/5)mR²)(v/R)²

2gh = v² + 2/5v²

2gh = 7/5v²

v = √((10/7)gh)

v = √((10/7)(9.81)(10.0sin30.0))

A) v = 8.37 m/s  

B) ω = 8.37/0.345 = 24.3 radians/s

C)  ½mv² / ½Iω² = mv²/Iω² = mv²/((2/5)mR²)(v/R)² = 5/2


Related Questions

Making simplificafions, such as neglecting friction or not including all particles involved in an interaction, often makes computational models less accurate. Why are these simplifications made?
1. All initial values entered into the model are simply best guesses or estimates. By including more factors, more estimates are included and the inaccuracies compound as a result.
2. Simplifications actually tend to make models more accurate, not less accurate, because the simpler the model, the less chance there is for calculation error or other mistakes. 3. Computational models don't need to be accurate in order to be informative.
4. The effects of the simplifications are often relatively small, the computations may become too complex if all factors are included. or it isn't possible to know the initial values of all factors well enough to include them​

Answers

Option 4. The effects of the simplifications are often relatively small, the computations may become too complex if all factors are included, or it isn’t possible to know the initial values of all factors well enough to include them

Computational models often make our derivations and complex studies get simplified. However these models ignores some factors which can only be determines practically.Hence,  the statement in  4th option better indicates the need of simplifications.

What is computational model?

A computational model is used to predict som complex structures or performing complex derivations and calculations using computer programmes and simulations.

For instance, there are various computational softwares such Gaussian to study the structural and electronic properties of molecules such as bond parameters, enthalpies etc. Similarly, the Hartree method for the calculation of energy levels can be performed using computational models.

These models simplifies and make more easier to understand a parameter or any structure or equation. However some factors which cannot included in these computations make a chance of inaccuracy in them.

In fact they cannot predicted by computations but can only be determined practically. But to make the study simpler adn near perfection we use these models without too much complex factors. Hence, option 4 is correct.

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A man walks westward on a ship with a speed of 4 km/hr. The ship's propeller drives it 15 km/hr south. What is the actual speed of the man relative to the earth? What is the direction of his velocity?

Answers

The actual speed or velocity of the man relative to the earth is 15.52km/hr.

The direction of the man's velocity relation to earth is 75° South of West.

Given the data in the question;

Velocity of man relative to ship; [tex]v_{mrs} = 4 km/hr[/tex] westVelocity of ship; [tex]v_s = 15 km/hr[/tex] southVelocity of the man relative to the earth; [tex]v_E =\ ?[/tex]Direction of the man's velocity; [tex]\theta = \ ?[/tex]

To get the velocity of the man relative to the earth. From Pythagorean theorem

We can simply say

[tex]v_E = \sqrt{(v_{mrs})^2 + (v_s)^2}[/tex]

We substitute in our given values

[tex]v_E = \sqrt{(4km/hr)^2 + (15km/hr)^2}\\\\v_E = \sqrt{(16km^2/hr^2) + (225km^2/hr^2})\\\\v_E = \sqrt{241km^2/hr^2}\\\\v_E = 15.52 km/hr[/tex]

Therefore, the actual speed or velocity of the man relative to the earth is 15.52km/hr

To get the direction of the man's speed. From the three main trigonometric ratios: SOH CAH TOA

[tex]tan\theta = \frac{opposite}{adjacent}[/tex]

[tex]tan\theta = \frac{v_s}{v_{mrs}}[/tex]

We substitute in our values;

[tex]tan\theta = \frac{15km/hr}{4km/hr}\\\\tan\theta = 3.75\\\\\theta = tan^{-1}( 3.75)\\\\\theta = 75^o[/tex]

Therefore, the direction of the man's velocity relation to earth is 75° South of West

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A jumbo jet collides with a sparrow. Who exerts the greater force of impact

Answers

Answer:

Neither

Explanation:

Forces act in equal magnitudes and opposite directions.

An advertisement shows a 1239 kg car slowly pulling at constant speed a large passenger airplane to demonstrate the power of
its newly designed 85.7 hp (horsepower) engine. During the pull, the car passes two landmarks spaced 26.0 m apart in 14.3 s.
The passenger plane being towed is a Boeing 707 with a total weight of 62.5 tons.
Calculate the force that opposes the motion. Assume that the efficiency of the car is such that 15.4% of the engine power is
available to propel the car forward.
How much work is performed by the car on the airplane during this time? How much work is performed by the airplane on the car during this time?

Answers

Answer:

Power = Work / Time

available power = .154 * 85.7 = 13.2 hp

1 hp = 746 watts (joule/sec)

13.2 hp = 13.2 * 746 = 9850 J/sec

Work = P * t = 9850 J/sec * 14.3 s = 141,000 joules

This is the work performed on the airplane and the car

Work = F * s   (force * distance)

F = 141000 J / 26 m = 5420 Newtons    opposes the motion

A dog runs 60 meters in 6 seconds. What is the average speed?

a
0.1 m/s

b
10 m/s



c
360 m/s

d
not enough information to tell

Answers

Answer:

Distance =60m, Time = 6s, Speed = ?

Speed = distance/time

= 60/6

=10m/s

Explanation:

Hope that this is helpful.

Have a nice day.

Kelvin is a unit of temperature, whereas ampere is a unit of current.
True or False

Answers

Answer:

Kelvin is a unit of temperature, whereas ampere is a unit of current.

True or False

Explanation:

true

Will mark brainliest help last question

Answers

Answer:

b

the def of convection is : process by which heat is transferred by movement of a heated fluid such as air or water

therefore c and d are wrong.

Explanation:

The image shows a dam.

A large dam has point X behind it where the water level is high and point Y below it to, which the water flows.

Which descriptions best fit the labels?

X: kinetic energy
Y: potential energy
X: potential energy
Y: kinetic energy
X: mechanical energy
Y: electrical energy
X: electrical energy
Y: mechanical energy

Answers

Answer:

The Correct answer is B on Edge

Explanation:

I did the quiz! :)

Plzz help mee guys I need the ans

Answers

Answer:

the answer is c

Explanation:

copper and silver are the only 2 conductors listed.

how is th ekinetic energy of the particles




will mark brainliest

Answers

The kinetic energy of the particle is less after it changes from gas to liquid,  (Option B).

What is the kinetic energy of a particle?

The kinetic energy of a particle is the energy it possesses due to its motion. It is a scalar quantity and is dependent on the mass and speed of the particle.

The formula to calculate the kinetic energy (KE) of a particle is:

KE = ¹/₂ mv²

Where:

KE = Kinetic Energym = Mass of the particlev = Speed (velocity) of the particle

Thus, the kinetic energy of the particle is less after it changes from gas to liquid, because the speed of the particle is less in liquid phase than in gaseous phase.

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How many hydrogen atoms are there in all the reactants?

Answers

Answer:

there are two hydrogen atoms in all reactants

During hypnosis, people:
A. can accurately recall memories of early childhood and infancy.
B. lose all awareness of their surroundings.
C. temporarily suspend their sense of initiative.
D. are in a deep trance, which is similar to stage 3 NREM sleep.

Answers

During hypnosis, people  temporarily suspend their sense of initiative. Hence, option (C) is correct.

What is hypnosis?

According to one definition, hypnosis is "a waking state of awareness, (or consciousness), in which a person's attention is diverted from his or her immediate surroundings and is consumed by interior experiences such as feelings, cognition, and images." In order to induce hypnosis, the subject must concentrate and become sufficiently absorbed in their imagination. A hypnotic world is created by the physician and patient through the use of suggestions and their acceptance.

Our everyday 'trance' states include things like becoming lost in a good book, driving down a familiar route without being aware of it, being in prayer or meditation, or engaging in a mindless or creative task. Our conscious awareness of our surrounds and an inner awareness exist on a continuum, thus even though one's emphasis is mostly internal in these states, one does not necessarily lose all awareness of the outside world.

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HELP ASAP

Newtons three laws of motion: describe the ______ between an object and the forces acting upon it, and it's motion in_______ to those forces

Answers

Relations with respect to

Explanation:

Laws of Newton are

An object remains at its position of rest or motion until or unless any external force applied.Force=Mass×Acceleration.The initial momentum and final momentum remains same.

help please! ill mark brainliest!

What happens to a moving object if NO unbalanced force acts upon it?

It eventually slows down and comes to a stop.
It speeds up in the direction of motion.
It will eventually change direction.
It continues to move at the same speed.

Answers

Answer:Newton's first law of motion indicates that an objects motion or lack of motion will stay the same unless acted upon by an unbalanced force.

Explanation:

If you can do something fast and with strength, you have balance.

A.
True

B.
False

Answers

Answer:

false

Explanation:

The ability to catch on fire or burn.
(a). flammability (B)alkali metals (c)corrosion

Answers

Answer:

a. flammability

Explanation:

it is in the name "flame"

Answer:

The ability to catch on fire or burn is (a). flammability

Explanation:Flammability is the ease with which a combustible substance can be ignited, causing fire or combustion or even an explosion.

Why are earth, other solar system planets, and most planetary objects spherical

Answers

Answer:

A planet is round becuase of gravity

Explanation:

A planet's gravity pulls equally from all sides, gravity pulls from the center to the edge like the spokes of a bicycle wheel. This makes the overall shape of a planet sphere, which is a three-dimensional circle.

A planet is round because of gravity. A planet's gravity pulls equally from all sides. Gravity pulls from the center to the edges like the spokes of a bicycle wheel. This makes the overall shape of a planet a sphere, which is a three-dimensional circle.

What are some of the strategies that you currently use to make consumer buying decisions

Answers

Answer: hope you find the explanation useful!

Explanation:

Consumer behavior considers numerous reasons why individual, situational, mental, and social individuals look for items, purchase, use, and afterward discard them.

Evaluative criteria are positive qualities that are imperative to you, for example, the cost of the knapsack, the size, the number of compartments, and shading. A portion of these attributes are valued highly as compared to others. For instance, the size of the rucksack and the cost may be more imperative to you than the shading except if, state, the shading is hot pink, and you despise pink.

a raw egg and a hard boiled egg are rotating about the same axis of rotation with the same initial angular velocity. with the aid of diagram, explain which egg will rotate longer

Answers

Answer:

Boiled egg rolls slower than a raw egg , because it has a higher moment of inertia than a raw egg . In order to conserve angular momentum , the angular velocity of the boiled egg decreases.

The hard boiled egg moves as if it was one solid unit. The raw egg has a solid shell but various types of fluids inside that can move independently of the shell. When you turn the egg to cause it to spin this rotating or turning force is called a torque. How the boiled egg spins? The rotating force on the shell of the hard boiled egg spins the entire egg –shell and content because the content is solid and moves when the shell moves. This egg easily spins and spins longer than does the raw egg.

Explanation:

Hence, Boiled egg spins longer than raw egg.

A baseball pitcher delivers a fast ball. During the throw, the speed of the ball increases from 0 to 30.0 m/s over a time of 0.100 seconds. The acceleration of the baseball is ____ m/s2.

a.
30

b.
3000

c.
300

d.
3

Answers

b is the answer, i hope this helped

Which component that makes up the bulk of all galaxies?

A. gas

B. dark matter

C. dust

D. stars​

Answers

Answer: B Dark matter

We have that for the Question "Which component that makes up the bulk of all galaxies?  A. gas   B. dark matter   C. dust   D. stars​" it can be said that Invariably the dark matter makes up the bulk of all galaxies

Option B

From the question we are told

Which component that makes up the bulk of all galaxies?  

A. gas  

B. dark matter  

C. dust  

D. stars​

Generally

the Galaxy have a mass of about 2*10^{12} mass of sun

This is made up of 95% of dark matter

Therefore

Invariably the dark matter makes up the bulk of all galaxies

Option B

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A box slides down a frictionless incline, gaining speed. The work done by the normal force n is _______.
a.) positive
b.) negative
c.) zero
d.) undefined

Answers

Answer:

0

Explanation:

The normal force will be perpendicular to the motion. A zero-work situation is one where "a force everywhere perpendicular to the motion does no work" so according to this principle, no work is done.

The work done by the normal force n when the box slides down a frictionless incline and gaining speed is zero.

What is normal force?

The force of contact is called the normal force. When the two surfaces are in contact with each other, then the normal force acts.

This force is applied by the solid bodies on each other in order to prevent the passing through each other.

A box slides down a frictionless incline, gaining speed. For this box, the value of work done by normal force has to be found out. Let's analyze the given condition.

The body is gaining the speed, which means there is a change in kinetic energy.The change in kinetic energy is equal to the work done.The friction force is the product of coefficient of the friction and normal force.The friction force for the given case is zero. Thus, the normal force must be equal to the zero.

Thus, the work done by the normal force n when the box slides down a frictionless incline and gaining speed is zero.

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A car accelerates at 4 m/s/s from rest. What is the car's velocity after 5 seconds?

Answers

Answer:

3m/sec

Explanation

V=u+at

23=u+4*5

23=u+20

23-20=u

U=3m/sec

How does the appearance of spiral galaxies vary? *Select the two correct answers.*

A. They vary in how tightly their arms are wound.

B. They vary in the brightness of stars located on their arms.

C. Some are more elongated in shape than others.

D. Some have a band of stars and materials through their middle, but others do not​

Answers

Answer:

A. And D.

A. They vary in how tightly their arms are wound.

D. Some have a band of stars and materials through their middle, but others do not.

The appearance of spiral galaxies vary in the following ways:

A. They vary in how tightly their arms are wound.

D. Some have a band of stars and materials through their middle, but others do not​

Spiral galaxies are the galaxies where the gas clouds and the stars are concentrated in spiral arms.

Examples of spiral galaxies include Milky way, Sunflower Galaxy, Andromeda Galaxy, etc.

It should be noted that spiral galaxies vary in how tightly their arms are wound while some have a band of stars and materials through their middle, but others do not​.

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What is one way we can use agriscience to affect photosynthesis and increase plant growth?
Removing excess water from the air
O Removing carbon dioxide from the air in greenhouses
Adding oxygen to the air in greenhouses
Adding water to soil in a precise way as needed

Answers

Answer:

casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.

1. Tu ropa está sucia. ¿Por qué no ____ lavas?

2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.

3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.

4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?

5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.

1)How fast is a ball moving when falling from rest and hits the ground 1.70
seconds later?

Answers

The final velocity of the ball is16.66 m/s.

Given the following data:

Initial velocity, U = 0 m/s (since the ball is falling from rest). Time, t = 1.70 seconds.

We know that acceleration due to gravity (a) for a ball in free fall is equal to 9.8 meter per seconds square.

To find how fast (velocity) the ball is moving, we would use the first equation of motion:

Mathematically, the first equation of motion is calculated by using the formula;

[tex]V = U + at[/tex]

Where:

V is the final velocity. U is the initial velocity.a is the acceleration. t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]V = 0 + 9.8(1.7)[/tex]

[tex]V = 9.8[/tex] × [tex]1.70[/tex]

Final velocity, V = 16.66 m/s.

Therefore, the final velocity of the ball is16.66 m/s.

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write two examples of chemical properties and explain what they are

Answers

Chemical Properties are properties of a substance that are seen during a chemical reaction. In other words, chemical properties cannot be found by looking/touching the substance. Those are its physical properties.

Examples

Flammability
toxicity
solubility
Acidity
Electronegativity

2. Express the following in SI units a) 0.009 cm? b) 25 km​

Answers

Answer:

a).

S.I units of length is meters. So we've to change cm m

[tex]{ \rm{1 \: cm \: \dashrightarrow \: 0.01 \: m}} \\ { \rm{0.009 \: cm \: \dashrightarrow \: (0.009 \times 0.01)}} \\ \\ = { \underline{ \rm{ \: \: 0.00009 \: m \: \: }}}[/tex]

b).

km m

[tex]{ \rm{1 \: km \: \dashrightarrow \: 1000 \: m}} \\ { \rm{25 \: km \: \dashrightarrow \: (25 \times 1000)}} \\ \\ = { \underline{ \rm{ \: \: 25000 \: m \: \: }}}[/tex]

Describe the relationship between temperature and kinetic
energy.

Answers

Answer:

temperatures is directly proportional to kinetic energy

Explanation:

in increasing the temperature,kinetic energy also increases

hope it helps...

PLEASEEEEE HELPPPPPPPPP ASAPP

Answers

Answer:

Its the last one.

Explanation:

Massive objects such as earth generate gravity, and the moon orbits the earth as it is smaller and close enough.

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