You and a friend are playing with a bowling ball to demonstrate some ideas of Rotational Physics. First, though, you want to calculate the Rotational Kinetic Energy of the bowling ball as it rolls down a sidewalk without slipping. This means it has both linear kinetic energy and rotational kinetic energy. A bowling ball can be modeled as a solid sphere rotating about its center. This bowling ball has a mass of 6.40 kg and a radius of 0.130 m. You'll need to look up the equation for the Moment of Inertia in your textbook. It is rotating with an angular velocity of 16.0 radians / second in the counter-clockwise (or positive) direction. You can use this to determine the linear velocity of the bowling ball (since it is rolling without slipping). What is the Total Kinetic Energy of the bowling ball

Answers

Answer 1

Answer:

K_{total} = 19.4 J

Explanation:

The total kinetic energy that is formed by the linear part and the rotational part is requested

         [tex]K_{total} = K_{traslation} + K_{rotation}[/tex]

let's look for each energy

linear

        [tex]K_{traslation}[/tex] = ½ m v²

rotation

        [tex]K_{rotation}[/tex] = ½ I w²

the moment of inertia of a solid sphere is

       I = 2/5 m r²

we substitute

       [tex]K_{total}[/tex] = ½ mv² + ½ I w²

           

angular and linear velocity are related

           v = w r

we substitute

           K_{total} = ½ m w² r² + ½ (2/5 m r²) w²

           K_{total} = m w² r² (½ + 1/5)

           K_{total} = [tex]\frac{7}{10}[/tex] m w² r²

let's calculate

           K_{total} = [tex]\frac{7}{10}[/tex]   6.40 16.0² 0.130²

           K_{total} = 19.4 J


Related Questions

Which of the following is an example of an acceptable time to ignore the rules and etiquette of a sport?
A.
when no one else notices
B.
when nobody really gets hurt
C.
when the outcome of the game isn't affected
D.
it's never acceptable to ignore rules and etiquette

Answers

Answer:

D-it's never acceptable to ignore rules and etiquette

Explanation:

We should know that it's never acceptable to ignore rules and etiquette.

What are the rules of etiquette in sports?

The rules of etiquette in sports are the rules of the sports that have been document by the various sports federations.

We should know that it's never acceptable to ignore rules and etiquette. These will make the the sports a lawless act and full of chaos.

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Elvis and Noah want to move the piano in their living room. Elvis pushes from behind with a force of
400 N, and Noah pulls from the front using a rope with a force of 150 N. The piano has a mass of 225 kg,
and the friction force of the floor and the piano is 100 N.
Calculate the acceleration of the piano.
Round your answer to the nearest tenth.

Answers

Answer:

2.0 m/s

Explanation:

Remember that F = maF=maF, equals, m, a, where FFF is the net force, mmm is the mass of the object, and aaa is its acceleration. To solve this problem, we will need to first find the net force acting on the piano and then use F = maF=maF, equals, m, a to find the piano’s acceleration.

Hint #22 / 4

The net force is the sum of all of the forces on the piano. In this circumstance, Elvis's and Noah's forces are in the same direction, and the friction force is in the opposite direction. So, our net force equation would be:

=400 N+150 N−100 N

=450 N

Now, we can use F = maF=maF, equals, m, a and solve for the acceleration:

225 kg

450 N

=2.0

The acceleration of the piano is 2.0 m/s

The acceleration of the piano is 2m/s².

We know the formula for force is

F =ma

where f is force, m is mass and a is acceleration.

We need to calculate the total force used in moving the piano

F= Total force- Frictional force

F= 400N+150N-100N= 450N.

We have F=450N and m= 225kg

F=ma

450N= 225ˣ a

a= 450/225

a= 2m/s²

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When an object moves in a straight line, which statement is true? 

A. the object moves at a constant speed, the resultant force is zero

B. the object accelerates , the resultant force is zero

C. the object moves at a constant speed, the forward force is greater than the resistive force

D. The object requires a resultant force in order to move at a constant speed

Answers

Answer:

In think the answer is a I’m not sure

Explanation:

Becuase constant speed is always zero there is no acceleration

HELP PLEASE!

A book sits motionless on a table. Which statement is true?

The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.

Answers

Answer:

I think the second one! So sorry if it's wrong!

Explanation:

Because if it's sitting motionless, then nothing is happening to it.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

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

A.
True

B.
False

Answers

Answer:

false

Explanation:

A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?

Answers

Answer:

it deflects most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation

Jake lifted a 10-kg bell by a distance of 0.50 meters in 0.50 seconds. How much power did Jake use?​

Answers

Answer:

10 watts

Explanation:

first calculate work.

Work =force×distance cos thita

10Kg×0.50M cos 0= 5joules

Therefore, Power=Work÷ Time

Therefore, 5joules÷0.50s=10 watts.


Assuming that the slug's body is 3% salt, what is the most likely prediction that would result from placing the slug into a 6% salt solution?

Answers

Answer: As i know, please see the Explanation

Explanation:The cell contains 3% salt, so we can safely assume that it contains 100%−3%=97% water.

hi i think it 573 udaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

ummm I didn't understand the question

On a hike you walk 5000 m east, 3000 m north and 1000 m west at a constant speed of 1m/s calculate your velocity

Answers

Answer:

0.44 EST + 0.33 NTH

Explanation:

if this is incorrect and brainly removes the comments to try and sabotage you guys please report this for the sake of learning

A baseball pitcher throws a fastball at a speed of 44 m/s. The acceleration occurs as the pitcher holds the ball in his hand and moves it through an almost straight-line distance of 3.5 m. Calculate the acceleration, assuming it is uniform. Compare this acceleration to the acceleration due to gravity.

Answers

v = s/t

44 m/s = 3.5 m/t

t = 3.5 m : 44 m/s

t = 0.08 s

a = v/t

a = 44 m/s/0.08 s

a = 550 m/s²

a : g = 550 m/s² : 10 m/s²

a : g = 55 : 1

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If a pool and a cup of water had the same temperature, which would have greater thermal energy?Why?

Answers

Despite being the same temperature, the swimming pool is a much larger thermal energy store than the beaker of water.

What is thermal energy?

Thermal energy is the energy contained within a system that controls its temperature. The flow of thermal energy is defined as heat.

Thermodynamics is a branch of physics that deals with how heat is transferred between different systems and how work is done in the process.

Thermal energy sources include natural gas, coal, and oil, as well as solar, heat pump electric, and geothermal heat.

A swimming pool and a beaker of water can both be the same temperature.

Despite being the same temperature, the swimming pool contains significantly more thermal energy than the beaker of water. A heated swimming pool's thermal store contains a lot of energy.

Thus, If a pool and a cup of water had the same temperature, then swimming pool has a much larger thermal energy.

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What is Juan’s velocity between 0-5 seconds?

Answers

Juan’s velocity between 0-5 seconds would be 2 m/s, the slope of the position time graph represents the velocity of the object and between the 0-5 seconds slope of the line is 2.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

velocity= total displacement/Total time

As given in the problem we have to find the velocity of Juan between 0-5 seconds.

The displacement covered between 0-5 seconds is 10 meters.

the time taken to change position is 5 seconds,

the velocity of the Juan = 10/5

                                 =  2 meters/seconds

Thus, its velocity of Juan comes out to be 2 meters/second.

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A car starts from rest and accelerates at a steady 6.00 m/s2. How far does it travel in the first 3.00 s?

Answers

First, let’s correct the question. Acceleration is the rate of change in velocity. Its unit therefore is ft/sec/sec. If S is the distance traveled for a given duration, S = Vot + (1/2)at^2 where Vo is the initial velocity, a is the acceleration and t is the time. For Vo = 0, a = 6m/sec/sec and t = 3 sec. The distance traveled is S = 0 + (1/2) x 6 x 3^2 = 27 meters


mark me brainiest if this helped!

Which statement is TRUE regarding the sleeping brain?
A. Some brain neurons remain active during sleep, while others do not.
B. The sleeping brain is idle.
C. Sleep is a global, brain-wide state.
D. All brain areas are shut down during sleep.

Answers

Many biological processes happen during sleep: The brain stores new information and gets rid of toxic waste. Nerve cells communicate and reorganize, which supports healthy brain function. The body repairs cells, restores energy, and releases molecules like hormones and proteins.

The true statement regarding the sleeping brain is: sleep is a global, brain-wide state, which is in option c as sleep is not a state of idleness or a shutdown of all brain areas.

Sleep is a complex and dynamic process that involves various regions and functions of the brain. While some brain neurons may decrease their activity during certain stages of sleep, other neurons remain active and play crucial roles in regulating sleep processes. Sleep is considered a global state because it involves widespread changes in brain activity and connectivity. Different brain regions exhibit synchronized patterns of activity during specific sleep stages, and these patterns contribute to functions such as memory consolidation, restoration, and emotional processing.

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momentum dimensional in term of force, length and time​

Answers

Answer:

Taking force, length and time as fundamental quantity.

Momentum=mv(Force/acceleration)×Velocity =[F/LT

−2

]×[LT

−1

]=[FT]

A jet airplane is in level flight. The mass of the airplane is m = 8930 kg. The airplane travels at a constant speed around a
circular path of radius R = 8.01 mi and makes one revolution every T = 0.106 h. Given that the lift force acts perpendicularly
upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane?
At what angle is the airplane banked?

Answers

Answer:

Explanation:

The lift force will have a vertical component equal to the weight of the plane and a horizontal component sufficient to supply the needed centripetal accleration.

R = 8.01 mi = 12891 m

ω = 2π/T =  2π/(0.106(3600)) = 0.016465 rad/s

F = m√(g² + (ω²R)²)

F = 8930√(9.81² + (0.016465²(12891))²)

F = 8930√(9.81² + 3.49²)

F = 92,996.480...

F = 93.0 kN

θ = arctan(3.49/9.81) = 19.6°

Please help with this diagram as soon as possible.

Answers

This is the answer .....

If 1 light year = 9.46x 1015.
m and 1 mile = 1.6 km, how many miles are in a light year? You

Answers

Answer:

5 912 500 000 000 = 5.91x10^12 miles

Explanation:

The first thing we need to do is convert the light year distance to kilometres, since we have the kilometre to mile conversion. There are 1000m in a kilometre, so we need to divide the light year value that we have by 1000, giving us 9.46x10^12 km for 1 light year.

Now that we have our value in kilometres, we simply need to divide it by 1.6 to get it in miles. Doing so gives us 5 912 500 000 000 miles, or 5.91x10^12 miles.

Hope that made sense, and let me know if you have any further questions!

A 5.0 kg flying squirrel is flying from a tree down to the ground at constant velocity. Consider air resistance. Diagram the forces acting on the squirrel

Answers

The free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.

The given parameters;

mass of the squirrel, m = 5 kgacceleration due to gravity = 9.8 m/s²

At a constant velocity downwards, the vertical acceleration is zero.

The downward force on the squirrel is calculated as follows;

W = mg - ma

W = m(g - a)

W = m(g - 0)

W = mg

W = 5 x 9.8

W = 49 N

The air resistance on the squirrel which is acting upwards is calculated as;

n = ma + mg

n = m(a + g)

n = m(0 + g)

n = mg

n = 5 x 9.8

n = 49 N

The free body diagram is presented below;

                                   ↑ n

                                   Ο

                                   ↓ W

Thus, in the free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.

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What is the major difference between metallic bonding and ionic bonding?


Answers

Answer:

The key difference between ionic bonding and metallic bonding is that the ionic bonding takes place between positive and negative ions whereas the metallic bonding takes place between positive ions and electrons.

Explanation:

About (metallic bonding) → Metallic bonding is a type of chemical bonding that arises from the electrostatic attractive force between conduction electrons and positively charged metal ions.

About (ionic bonding) → Ionic bonding is a type of chemical bonding that involves the electrostatic attraction between oppositely charged ions, or between two atoms with sharply different electronegativities, and is the primary interaction occurring in ionic compounds

I hope this helps!

How much protein would be consumed with a 3-ounce serving of
this food?
A. 0g
B. 5g
C. 10g
D.15g
Please Help me

Answers

Answer:

15kg

(i actually did this)

Explanation:

k12

hope this helped!

i hope you ace it!

Answer: B) 5g

I took the 4.11 Unit Test: Nutrition quiz.

Average sized stars like our own will turn into a(an) _________ at the end if their lifecycle.

A: Red Supergiant
B: Black hole
C: Neutron Star
D: Supernova Nebula

Answers

Answer:

Red supergiant.

Explanation:

When our sun is going to become a red giant, it's going to be 256 times larger than itself now.

Why do you think some things float and some things sink?

Answers

because somethings carry meaning into life and other things are useless information that take up unnecessary space
some things are heavier and some things are lighter.

3
Which finding would have disproved Virchow's hypothesis?
O Animalcules are not organisms.
O Animals are made of non-cell-based matter.
Plants are made of non-cell-based matter.
O Cells can generate from nonliving matter.

Answers

Answer:

the correct answer is cells can generate from nonliving matter

Which two limbic system structures are especially associated with forming new memories?
A. the thalamus and the hypothalamus
B. the thalamus and cerebellum
C. the hypothalamus and the substantia nigra
D. the hippocampus and amygdala

Answers

Answer:

c

Explanation:

because it was c no more explanation

Answer:

Which two limbic system structures are especially associated with forming new memories?

A. the thalamus and the hypothalamus

B. the thalamus and cerebellum

C. the hypothalamus and the substantia nigra

D. the hippocampus and amygdala

Which type of color is most associated with emotions and attributes such as
calmness, sadness, and stillness? Choose the answer.
neutral
dynamic
warm
cool

Answers

I believe that cool colors is the correct answer

The colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.

Thus, the colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.

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• An artery in a certain patient has been reduced to half its original inner diameter by bad cholesterol deposits on the inner artery wall. By what factor will the blood flow through the artery be reduced if the pressure differential across the artery has remained unchanged? (a) 0.065 (b) 0.625 (c) 0.622 (d) 0.0625 ​

Answers

Answer:

C.

Hope it's helpful

brainlest and follow me thank you

Help me with this please

Answers

Answer:

for the secound one i think it would be 45.87 let me know if this is wrong I love to get my feed back

Explanation:

if an object is launched at 40 degrees what other angle will give you the same range

Answers

Answer:

50 degrees

Explanation:

complimentary angles will give you the same range

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