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

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Two ice skaters on ice push away from each other. The friend on the left is 45 kg and the friend on the right is
40 kg. The right skater gets pushed and moves with an acceleration 2 m/s". Based on this scenario what will
happen to the left skater?

Answers

The friend on the left will become 43 kg

What conditions would probably exist the dew point and dry bulb temperatures to be the same at the ground ?

Answers

Answer: The conditions would probably exist the drew point and dry bulb temperatures to be the same at the ground because When the dew point temperature and air temperature are equal, the air is said to be saturated. Dew point temperature is NEVER GREATER than the air temperature. Therefore, if the air cools, moisture must be removed from the air and this is accomplished through condensation.

Explanation:

Since the air is said to be saturated when the dew point temperature and air temperatures are equal, the circumstances are likely present for the dew point and dry bulb temperatures to be equal at the ground. NEVER is the dew point temperature higher than that of the air temperature. As a result, condensation is used to remove moisture from the air when it cools.

What is dew point temperature?

The dew point, under the assumption of constant air pressure and water content, is the temperature at which air must be chilled to become water vapor condenses. Airborne vapor will condense to create liquid water, known as dew, when it is cooled below the dew point, thereby moisture capacity.  If this occurs via coming into contact with a cooler surface, dew will grow there.

Humidity influences the dew point. The dew point rises as the amount of moisture in the atmosphere increases.

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A friend insists that electric current is the same as electrical energy. Work with a partner to develop a rebuttal
against your friend's misconception.

Answers

Answer: The electrons flowing through the wire are referred to as a quantity of electricity, and the flow of electricity is referred to as “an electric current.”

Explanation: Hope it Helps have a blessed day

In a perfectly inelastic collision between two balls:

a) No changes happen to the internal structure of the balls

b) The total kinetic energy of the balls is conserved

c) The balls have the same velocity after the collision

d) The balls temperature does not change.

Answers

Answer:

c) The balls have the same velocity after the collision

Explanation:

In a perfectly inelastic collision between two balls, there is a loss in the maximum kinetic energy of the system and the two ball stick together, and thereby have the same velocity after the collision and also the coefficient of restitution of the two balls is also zero accompanied by a loss in the kinetic energy of the system

Therefore, the correct option is that both balls will have the same (equal) velocity after the collision.

Two resistors, R1 and R2, are connected
in series to a 5.00 V battery. R1 is
12.0 Ohm. A current of 0.167 A flows
through the circuit.
What is resistance of R2?

Answers

Answer:

18 ohms

Explanation:

V = I(R1 + R2)

5V = (0.167A)(12 ohms + R2)

Solving for R2

R2 = 18 ohms

the distance between the sun and moon is 480 light second. convert the distance into meter

Answers

Answer:

1.439 × 10¹¹ m is the answer.

Explanation:

1 light-second = 2.998 × 10⁸m

480 light-seconds = 480 × 2.998 × 10⁸

= 1439.04 × 10⁸

= 1.439 × 10¹¹

∴ 1.439 × 10¹¹ m is the answer.

The distance converted into the meter will be 1.439×10¹¹ m.In one light second, there are 2.998 ×10⁸ m.

What is the distance?

Distance is a numerical representation of the distance between two objects or locations.

The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

The given data in the problem is;

The  distance between the sun and moon is,d= 480 light second

[tex]\rm d_m[/tex] is the distance in meter

As we know,

[tex]\rm 1\ light\ second = 2.998 \times 10^8m \\\\ 480\ light\ seconds = 480 \times 2.998 \times 10^8\ m \\\\ d_m= 1439.04 \times 10^8 \\\\ d_m = 1.439 \times 10^{11}[/tex]

Hence the distance converted into the meter will be 1.439×10¹¹ m.

To learn more about the distance refer to the link;

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pls help with science!!!!!​

Answers

Answer:

Your answer is C~

Explanation:

Which one of the following is an example of an acid-base reaction?
A. 2HCl + Mg(OH)2 + 2H2O + MgCl2
B. Fe + CuSO4 → FeSO4 + Cu
C. 2Li + ZnSO4 → Li2SO4 + Zn
O D. C5H12 + 802 - 5CO2 + 6H20
No links please

Answers

Answer:

A. 2HCl + Mg(OH)2 + 2H2O + MgCl2

hope it helps

PLEASE HELP!!!!!!!!!!

An object's velocity increases, multiplied by a factor of 9. What factor would its Kinetic Energy increase by?

Answers

Answer:

by 81

Explanation:

KE = (1/2)mv^2. If v2 ---> 9v then

KE2 = (1/2)m(9v)^2 = 81[(1/2)mv^2]

= 81 KE

Answer:

by a factor of 4

Explanation:

The kinetic energy is proportional to the square of the speed so doubling the speed increases.

The density of the atmosphere on a certain planet is found to decrease as altitude increases (as measured from the planet's surface). What is the graphical relationship between altitude and atmospheric density on this planet? Altitude (km) Almospheric Density (km/mº)
Α.inverse plot B. quadratic plot C. velocity plot D. acceleration plot E.parabolic plot ​

Answers

Answer:I think it’s Velocity plot.

Explanation:

I hope i can help you, have a great day and good like with everything.

Answer: inverse plot

Explanation: lucky guess lmk if its right

Select the correct answer?

Answers

Answer:

The answer is d i think so yea

Explanation:

hope u hae  a really good  day

PLS HELP ME!!!
The engine cars that pull high-speed trains usually taper to a point in front, as shown in the illustration. How does this shape change the forces acting on the moving engine car?

Answers

hmmmmmmmmm i don’t know

Which statement can be made about waves A and B? Wave A has a lower amplitude than Wave B. Wave A has a higher amplitude than Wave B. Wave A has a lower frequency than Wave B. Wave A has a higher frequency than Wave B.

Answers

Answer:

Wave A has a higher amplitude than Wave B.

Explanation:

please check the attached image for the waves

Answer:

b

Explanation:

got it right on edge

What are the four major tasks of the digestive system?


Ingestion, Digestion, Absorption, Elimination.


Ingestion, Procrastination, Absorption, Face the Nation.


Congestion, Progestion, Ingestion, Elimination

Answers

Answer:

Option A

The four major tasks of the digestive system are - Ingestion, Digestion, Absorption, Elimination

Explanation:

A digestive system has primarily four main functions

a) Motility - In this the food is ingested through opening in the form of mouth and then it starts moving from the mouth via esophagus to the stomach

b) Digestion - In the stomach, the food gets digestion and then it is passed on to the intestine

c) Absorption - In the small intestine essential nutrients and water is absorbed

b) Secretion - The waste remaining after intestine digestion is passed on to the rectum for secretion

Hence, option A is correct

Which product forms from the synthesis reaction between calcium (Ca) and
chlorine (CI)?
A. CaCl2
B. CaCl
C. Ca2Cl2
O D. Caci
SUBMIT

Answers

Answer:

CaCl2

Explanation:

Answer:

its a! the answer is a

Explanation:

8. What is the frequency heard by a person driving at 15.0 m/s toward a blowing factory whistle (800. Hz) if the speed of sound is 340.6 m/s? (837 Hz) F= (340.6×800)÷(340.6-15)= 836.9 Hz F=836.9 9. From the previous problem, what frequency would he hear after passing the factory if he continues at the same speed? (766 Hz)

Answers

Answer:

A) f_o ≈ 836.9 Hz

B) f ≈ 765 Hz

Explanation:

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

f_o = (v•f_s)/(v - v_p)

Where;

v is speed of sound in air

f_s is frequency of source

v_p is the speed of the person moving towards the whistle.

We are given;

v = 340.6 m/s

v_p = 15 m/s

f_s = 800 Hz

Thus;

f_o = (340.6 × 800)/(340.6 - 15)

f_o ≈ 836.9 Hz

B) to solve this, let's first calculate the wavelength from the formula;

λ = v/f_s

λ = 340.6/800

λ = 0.42575 m

To get the frequency he will hear after passing the factory, we will use the formula;

f = (v - v_p)/λ

f = (340.6 - 15)/0.42575

f ≈ 765 Hz

A book that weighs 20 N sits on a table. How big and in what direction does the force of gravity from the Earth act on the book?
A. 20 N down
B. 10 N down
C. 20 N up
D. 10 N up

Answers

Answer:

A. 20 N down

Explanation:

It's asking how much force of gravity is acting on it. The book weighs 20 Newtons so that's how much gravity is being applied. Hope this helps

When a book that weighs 20 N sits on a table. then the force of gravity from the Earth acts on the book would be 20 N down, therefore the correct option is A.

What is gravity?

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another, The gravity varies according to the mass and size of the body for example the force of gravity on the moon is the 1/6th times of the force of gravity on the earth.

When an object is thrown straight up in the absence of air resistance there is no external force acting on it except the gravitational force of the earth which very much reflects the fact that the acceleration due to gravity is constant and is the result of the gravitational pull of the earth which act on the downward direction.

A book that weighs 20 N sits on a table and faces a downward force of 20N acts on the book because the force of gravity from the Earth acts on the book.

Learn more about gravity from here

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Simple harmonic motion occurs when an object is displaced from its stable equilibrium position and the force or torque pushing it back toward equilibrium is ______ in displacement. Group of answer choices exponential sinusoidal quadratic linear

Answers

Answer:

force is of the LINEAR type

Explanation:

In simple harmonic movements the restoring force is of the Hooke e-force type, which has the form

            F = - k (x-x₀)

where x₀ is the initial length of the spring.

Therefore we can see this force is of the LINEAR type

Can anyone help me!!!
I need this really soon!!!!

Q. Rama's weight is 40kg . She is carrying a load of 20 kg up to a height of 20 metres. What work does she do? Also mention the type of work

No links!!!!
No spams!!!!​

Answers

Answer:

3920 N.

Explanation:

that's what the answer is..

How many pieces of thin, light glass will have the same effect as one thick, dark glass?

Answers

Answer:

Explanation:

i would 3 thin light glass would have the same effect as one thick dark glass

Four pieces of thin, light glass will have the same effect as one thick, dark glass.

What is Glass ?

Glass is an inorganic solid substance that is generally transparent or translucent, as well as hard, brittle, and resistant to the elements. From ancient times, glass has been used to make utilitarian and aesthetic products, and it is now highly significant in uses as diverse as building construction, kitchenware, and telecommunications. It is created by rapidly chilling molten components such as silica sand to prevent the creation of visible crystals.

A quick discussion on glass follows. A lot of articles go into great length on glass. Stained glass and glassware explain stained glass and the aesthetic qualities of glass design. Industrial glass discusses the composition, characteristics, and industrial manufacture of glass. The physical and atomic properties of glass are discussed in amorphous solid.

To know more about Glass ;

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List and discuss 5 importances
of land-​

Answers

1. Farming
2. Water
3. Supports wild life
4. Helps perform all economic activities
5. Gives shelter

Hope this helps if so mark me the brainiest!!

How has modern safety equipment found in automobiles helped to counteract Newton’s First Law of Motion?

Answers

Answer:

Well. the law says "an object in motion stays in motion" So seatbelts could be one. they stop us humans from continuing to move when the car stops.

Calculate the pressure exerted on the floor by the boy standing on both feet if the weight of the boy is 40kg. Assume that the area of each of his shoes is 6cm x 25cm.
(Take 1kg of weight = 10N)

Answers

Answer:

P = 1333.33 N

Explanation:

The pressure exerted by the boy on the floor can be calculated by the following equation:

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

where,

P = Pressure exerted by the boy = ?

F = Force Applied = Weight of Boy = 40 kg = 40 N (since 1 kg = 1N)

A = Area of application of force = 2(Area of one show) = 2(6 cm x 25 cm)

A = 2(0.06 m x 0.25 m) = 0.03 m²

Therefore,

[tex]P = \frac{40\ N}{0.03\ m^2}\\\\[/tex]

P = 1333.33 N

Which would result in an increase in the magnetic field strength produced by an electromagnet? A) increasing the space between the turns in the coil B) increasing the number of turns in the coil C) decreasing the current in the coil D) decreasing the voltage in the coil

Answers

Answer:

B) increasing the number of turns in the

Explanation:

A) Increasing the space between the turns in the coil will decrease the number of coils. It will result in a decrease in the strength of the magnetic field because the strength of the magnetic field of an electromagnet is directly proportional to the number of coils.

B) Increasing the no. of turns in the coil will result in an increase in the strength of the magnetic field.

C) Strength of magnetic field is directly proportional to the magnitude of current passing through the electromagnet. Therefore, decreasing the current will decrease the strength of the magnetic field.

D) Decreasing the voltage will decrease the current and as a result, the strength of the magnetic field will also be decreased.

Hence, the correct option is:

B) increasing the number of turns in the

What type of reaction results in the formation of a salt?

Answers

Salt, in chemistry, substance produced by the reaction of an acid with a base. A salt consists of the positive ion (cation) of a base and the negative ion (anion) of an acid. The reaction between an acid and a base is called a neutralization reaction. Hope this helps!!!

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.

How is energy transferred during the water cycle? Question 1 options: Water gains energy during evaporation and releases it during condensation in the atmosphere Water gains energy during evaporation and condensation in the lithosphere. Water gains energy in condensation and releases it in evaporation. Water releases energy during evaporation and condensation.

Answers

Answer:

Water gains energy during evaporation and releases it during condensation in the atmosphere

Explanation:

In the water cycle, heat energy is gained or lost by water as it undergoes various processes in the cycle.

In evaporation, water molecules gains energy because the molecules of water vibrate faster and become more energetic. Hence they are able to escape into the atmosphere from the surface of the liquid.

In condensation, the molecules of gaseous water looses energy and becomes liquid.

Hence, water gains energy during evaporation and releases it during condensation in the atmosphere.

Answer:

K12 HE HE

Explanation:

What type of specialized cell in the eye is used for detecting low levels of light?

Answers

Answer:

There are about six to seven million cones in a human eye and are most concentrated towards the macula. Cones are less sensitive to light than the rod cells in the retina (which support vision at low light levels), but allow the perception of color.

Answer:

Rods

Explanation:

There are about six to seven million cones in a human eye and are most concentrated towards the macula. Cones are less sensitive to light than the rod cells in the retina (which support vision at low light levels), but allow the perception of color.

A negative charge of - 0.0005 C exerts an attractive force of 7.0 N on a second charge that is 10 m away. What is the magnitude of the second charge?

Answers

Answer:

the magnitude of the second charge is 0.000156 C.

Explanation:

Given;

mangitude of the first charge, q₁ = 0.0005 C

attractive force between the two charges, F = 7.0 N

distance between the two charges, r = 10 m

let the magnitude of the second charge = q₂

The magnitude of the second charge is calculated by applying Coulomb's law;

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

Where;

K is Coulomb's constant = 9 x 10⁹ Nm²/C²

[tex]q_2 = \frac{Fr^2}{kq_1} \\\\q_2 = \frac{7 \times \ 10^2}{(9\times 10^9)(0.0005)} \\\\q_2 = 0.000156 \ C[/tex]

Therefore, the magnitude of the second charge is 0.000156 C.

What formula should I use?

Answers

these nuts on your chin
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