A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg.
(a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.
(b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.

Answers

Answer 1

Answer:

Explanation:

moment of inertia of flywheel = 1/2 m R²

= .5  x 1500 x .6²

= 270 kg m²

If required angular velocity be ω

rotational kinetic energy = 1/2 I ω²

= .5 x 270 x ω² = 135 ω²

kinetic energy of bus when its velocity is 20 m/s

= 1/2 x 10000 x 20²

= 2000000 J

Given 90 % of rotational kinetic energy is converted into bus's kinetic energy

135 ω² x 0.9 = 2000000 J

ω²=16461

ω = 128.3 radian /s

b )

Let the height required be h .

Total energy of bus at the top of hill = mgh + 1/2 m v²

m ( gh + .5 v²)

= 10000 ( 9.8h + .5 x 3²)

From conservation of mechanical energy theorem

10000 ( 9.8h + .5 x 3²) = 2000000

9.8h + .5 x 3² = 200

9.8h  = 195.5

h = 19.95 m .


Related Questions

Gold atoms find their "birth" inside of huge _________.

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Explanation:

he is very keen on taking up and is the age

define the natural fibre​

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Spider webs is natural fiber or what caterpillars use to make they nests

Natural fibers or natural fibres are fibers that are produced by plants, animals, and geological processes. They can be used as a component of composite materials, where the orientation of fibers impacts the properties. Natural fibers can also be matted into sheets to make paper or felt.

This Is Science , please help it’s due at 3 , but I dont mind if its a little late.

Answers

Answer:

uhm you can get all these answers from go ogle but just so you dot get in trouble click the tree dots at the top right of your screen (this is if your using crome) and go to history click the square and there should be a delete thing

Explanation:

Answer:

4. I and II   9. tornado

Explanation:

Building a space station, in which astronauts would live for a considerable time, is essential even if the space station project were to contribute no new knowledge about space or Earth that could not otherwise be obtained. For future missions to explore Mars, we will need the medical knowledge that the space station project will give us about the limits of human capacities to live in spacecraft for an extended time.
The argument makes the assumption that
(A) the exploration of Mars will be carried out by people traveling in spacecraft and not by robots alone
(B) the capacities of astronauts are typical of those of ordinary human beings
(C) no unforeseen medical problems will arise on the first mission to explore Mars
(D) a mission to Mars will be the first of many missions that will explore the solar system
(E) living in spaceship for an extended time presents insurmountable medical problems

Answers

Answer:

The argument make the assumption that;

(A) The exploration of Mars will be carried out by people travelling in spacecraft and not by robots alone

Explanation:

The argument is made for the importance of a space station where astronauts live for an appreciable time to aid in the understanding of human capacities for living in the space so as to increase the successful space travel human to Mars, which is a distance further than the Moon and therefore, will require sufficient time travel

A solenoid coil 10cm long has 40 turns cm-1. The current rises from zero to its maximum value of 5.0000 A and 0000.01s when the switch is closed. Find the energy stored in magnetic field if the area of cross section of solenoid be 28 centimeter square.

Answers

Answer:

Explanation:

Energy stored in a solenoid per unit volume = B₀² / (2μ₀)

B₀= μ₀ n I₀

n is no of turns per unit length .

Energy stored in a solenoid per unit volume = ( μ₀ n I₀)² / (2μ₀)

=μ₀n²I₀²/2

n = 40 turns / cm = 40 x 100 turns per meter.

I₀ = 5000A .

Putting the values

Energy stored in a solenoid per unit volume

= 4π x 10⁻⁷ x 40 x 10² x 5000² /2

= 1256 J/ m³

Volume of solenoid = cross sectional area  x length

= 28 x 10⁻⁴ x .10 = 2.8 x 10⁻⁴ m³

Total energy stored = 1256  J / m³ x 2.8 x 10⁻⁴ m³

= .35 J .

3. What does an object at rest and an object moving at constant velocity have in common?​

Answers

The net force acting on each is zero. found your answer on quizlet, have a good day!

WORTH 15 POINTS WILL GIVE BRAINLIEST
What is the mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water?

200

8

0.125

12.5%

Answers

Option B. The mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water is 8.

Mechanical advantage is a measure of the force amplification completed by means of the usage of a device, mechanical tool or gadget device. The device trades off input forces towards motion to gain a preferred amplification in the output pressure.

The version for this is the regulation of the lever. The mechanical advantage is the degree how which tons of force is increased with the aid of using a device or gadget. it is equal to the pressure exerted with the aid of the tool or system divided via the carried-out effort.

calculation:-

Mechanical advantage = load/effort

                                       = 40/5

                                       = 8

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#SPJ1

True or false. There is only an induced voltage in a coil of wire if the magnetic flux through the coil of wire changes.​

Answers

True


There is only an induced voltage in a coil of wire if the magnetic flux through the coil of wire changes.

The frequency of a wave is 2 Hz and the wavelength is 4 m. What is the wave speed?

Answers

Answer:

4/2=2m/s

Explanation:

please help me out i'm so depressed and such a failure
how does the brightness of the lamp (L) vary if we dispalce the cursor (C) of the rheostat
a)Towards A
b) Towards B​

Answers

Answer:

I reckon towards b. Let me know if im right

How can the power of an object required to lift a mass up a height be increased ?
A .reduce the height
B .reduce the mass
C .increase the time
D .reduce the time

Answers

b, reduce the mass. hope this helps

The amswer should be B. reduce the mass

An asteroid has a mean radius equal to 17 times that of Earth. Using Kepler's 3rd law find its period. T^2=a^3

Answers

Answer:

If T^2 = a^3

T1^2 / T2^2 = a1^3 / a2^3

Or T2^2 = T1^2 * ( a2^3 / a1^3)

Given T1 = 1 yr and a2 / a1 = 17

Then T2^2 = 1 * 17^3

or T2 = 70 yrs

A fall thrown vertically upwards with a speed
of 20 ms-¹ from the top of a tower reaches
the earth in 8seconds. find the height of the
tower.
take g= 10ms-²

Answers

Answer:

Height of tower = 480 meter

Explanation:

Given:

Initial velocity = 20 m/s

Time taken to reach ground = 8 second

So,

Final velocity = 0 m/s

Acceleration due to gravity = 10 m/s²

Find:

Height of tower

Computation:

s = ut + (1/2)(g)(t)²

s = (20)(8) + (1/2)(10)(8)²

s = 160 + (1/2)(10)(64)

s = 160 + (10)(32)

s = 160 + 320

s = 480 meter

Height of tower = 480 meter

A 1500 kg car accelerats from 55.0 m/s to 90.0 m/s. Calculate the impulse experienced by the car​

Answers

Answer:

The impulse experienced by the car is 52,500 kg.m/s.

Explanation:

Given;

mass of the car, m = 1500 kg

initial velocity of the car, u = 55 m/s

final velocity of the car, v = 90 m/s

The impulse experienced by the car is the change in linear momentum, calculated as follows;

J = ΔP = mv  - mu

ΔP = m(v - u)

ΔP = 1500(90 - 55)

ΔP = 52,500 kg.m/s

Therefore, the impulse experienced by the car is 52,500 kg.m/s.


1. Jen is stepping out of a boat on to a dock. She has one foot on the dock and one foot in
the boat. No one holds on to the boat. It begins to move away from the dock. Jen's legs
split wider and wider. Which law applies?

Answers

you tend to push off with the foot still on the boat.

Newtons 3rd law of motion hold that every action has an equal and opposite reaction.

So, the amount of force you use on your back foot to push yourself onto the dock, has an equal end opposite amount of force going the other way from your sole of your foot, which pushes the boat the other way.

The same principle applies when you fire a cannon - in the pirate films, you see the body of the cannon forced back as it is fired.

Take it one step further, Henry VIII flagship, “Mary Rose fired all its cannons together one day in a broad side, the opposite force rolled the ship over and sank it.

The diagrams show two planets of different masses with identical orbiting satellites. Select all the conditions that would increase the gravitational force between each pair.
A. move the satellites closer to the planet
B. move the satellites farther from the planet
C. Add mass to the satellites
D.Remove mass from the satellites

Answers

Answer:

C I think but I'm not sure

Explanation:

Because by adding mass it would add more gravitational pull

Which of the following is evidence that a chemical reaction has occurred?

Answers

Change in color and change in temperature of energy as to being exo or endothermic

How are frequency, wavelength, and energy related? Choose all that apply.

Answers

Explanation:

The energy of a wave is given by :

[tex]E=\dfrac{hc}{\lambda}[/tex]

Where

h is Planck's constant

c is the speed of light

[tex]\lambda[/tex] is wavelength

Energy is inversely proportional to wavelength. Also, the relation between frequency and wavelength is inverse.

If the frequency is high, the wavelength will be shorter.

Hence, the correct options are :

Higher frequencies have shorter wavelengths.

Shorter wavelengths have lower energy.

Lower frequencies have lower energy.

Please help! I’m so confused and I’m being timed! I will give brainliest!

Answers

Answer:

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. A rocket engine produces thrust through action and reaction. The engine produces hot exhaust gases which flow out of the back of the engine. In reaction, a thrusting force is produced in the opposite reaction.

A Cathode of initial mass 10.00g weigh to 10.05g
after a Current of SA passes through the voltmeter of 10 minutes - Calculate the E.C.E of the metal deposed

Answers

Answer:

i'm sorry i'm not a physics student

Dr. Kirwan is preparing a slide show that he will present to the executive board at tonight's committee meeting. He places a 3.50-cm slide behind a lens of 20.0 cm focal length in the slide projector. A) How far from the lens should the slide be placed in order to shine on a screen 6.00 m away? B) How wide must the screen be to accommodate the projected image?​

Answers

Answer:

A) d_o = 20.7 cm

B) h_i = 1.014 m

Explanation:

A) To solve this, we will use the lens equation formula;

1/f = 1/d_o + 1/d_i

Where;

f is focal Length = 20 cm = 0.2

d_o is object distance

d_i is image distance = 6m

1/0.2 = 1/d_o + 1/6

1/d_o = 1/0.2 - 1/6

1/d_o = 4.8333

d_o = 1/4.8333

d_o = 0.207 m

d_o = 20.7 cm

B) to solve this, we will use the magnification equation;

M = h_i/h_o = d_i/d_o

Where;

h_o = 3.5 cm = 0.035 m

d_i = 6 m

d_o = 20.7 cm = 0.207 m

Thus;

h_i = (6/0.207) × 0.035

h_i = 1.014 m

What do diffraction and refraction have in common? They both involve interference. They both involve wave interactions. They both involve reflection. They both involve construction.

Answers

Answer:

They both involve wave interactions.

Explanation:

Diffraction is defined as the bending of waves around obstacles. Refraction can be defined as the bending of the light when it transfers from one substance to another. The main similarity between the diffraction and refraction is that both involves the interaction of the waves with the substance and also causes the waves to bend and change their direction. Hence, they both involve wave interaction is the correct option.

What diffraction and refraction have in common is that they both involve wave interactions. This is further explained below.

What are diffraction and refraction?

When waves travel from one medium to another and refract, This causes them to change direction. while Diffraction is simply defined as the bending of waves around barriers.

In conclusion, diffraction and refraction are properties of waves.

Read more about Wave

https://brainly.com/question/3004869

Explain the effects of expansion of water on aquatic life​

Answers

Answer:

The anomalous expansion of water helps preserve aquatic life during very cold weather. When temperature falls, the top layer of water in a pond contracts, becomes denser and sinks to the bottom. If the temperature falls further, the top layer expands and remains on the top till it freezes.

What will happen to the force felt between two charged objects if the distance between them is 1/3rd of the original distance

Answers

Answer:

New force = 9(initial force)

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

Where

d is the original distance

Let d' is the new distance such that, r' = r/3

New force,

[tex]F'=\dfrac{kq_1q_2}{r'^2}\\\\F'=\dfrac{kq_1q_2}{(\dfrac{r}{3})^2}\\\\F'=9\times \dfrac{kq_1q_2}{r^2}\\\\F'=9F[/tex]

So, the new force becomes 9 times the initial force.

can we detect em waves with our eyes?

tru or false

Answers

Explanation:

TRUE

Your eyes detect electromagnetic waves that are roughly the size of a virus. Your brain interprets the various energies of visible light as different colors, ranging from red to violet. ... On the other end of the spectrum are gamma rays, with wavelengths billions of times smaller than those of visible light

True we can
Hope this helps

A 140 g tennis ball travelling 30° east of north at 15 m/s is struck by a tennis racquet, giving it a velocity of 25 m/s, west. What are the magnitude and direction of the impulse given to the ball? Include a labelled diagram.

Answers

Answer:

The magnitude of the impulse is 1.4 Ns in the West direction.

Explanation:

The impulse equation is given by:

[tex]\Delta p=m\Delta v[/tex]

Where:

m is the mass of the ballΔv is the difference in velocity

So we will have:

[tex]\Delta p=0.140(25-15)[/tex]

[tex]\Delta p=1.4\: Ns[/tex]

Therefore, the magnitude of the impulse is 1.4 Ns in the West direction.

I hope it helps you!

What is another name for constructive interference?
A. Up
B. Down
C. Reinforcement
D. Cancellation

Answers

C I hope this help bud

What is the highest Mountain, and where is it?

Answers

Answer:

Mount Everest is Earth's highest mountain above sea level, located in the Mahalangur Himal sub-range of the Himalayas. The China–Nepal border runs across its summit point. Its elevation of 8,848.86 m was most recently established in 2020 by the Nepali and Chinese authorities.

Explanation:

describe how a wheel and axle work?

Answers

A weally works when you pull something and a axle is something that you can push

Explanation:

I hope this helps

what determines an atom identity
a. electrons
b. protons
c. neutrons
d. atomic mass​

Answers

Answer:

atomic mass

Explanation:

the identify of the atom is determined by the number of protons

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