An engineer wants to design an oval racetrack such that 3.20×103 lb racecars can round the exactly 1000 ft radius turns at 99 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle θ necessary for the race cars to navigate the turns at 99 mi/h without the aid of friction.

Answers

Answer 1

Answer:

the angle of banking is 33.3 degree.

Explanation:

speed, v = 99 mi/h = 44.26 m/s  

radius, r = 1000 ft = 304.8 m

g = 9.8 m/s^2

Let the angle of banking is A.

[tex]tan A = \frac{v ^2}{r g}\\\\tan A = \frac{44.26^2}{304.8\times 9.8}\\\\tan A = 0.66\\\\A = 33.3^0[/tex]


Related Questions

I need help with this question below ASAP!
What is the acceleration when an unbalanced force of 55 N is exerted on a 40 kg person?

Thank you for your help :)

Answers

Answer:

a = 1.375m/s²

Explanation:

F = m*a

55N = 40kg*a

a = 55N/40kg

a = 1.375m/s²

Four vehicles approach an intersection with a 4 way stop at the same time. Car B is ahead of Car A and both are in the same lane and want to proceed straight across. Car C is across the intersection from Car B and wants to proceed straight as well. Car D is to the right of Car B and wants to make a right turn. Which car must yield

Answers

Answer: car D

Explanation:

In which phase(s) of matter are the atoms closely packed but still able to slide past each other? O gas O liquid O solid and gas O liquid and solid Save and Exit Next Summit Mark this and return​

Answers

Answer:

Liquid

Explanation:

In most liquids the particles are less densely packed giving them the ability to move around and slide past each other.

The maximum tensile force a solid, cylindrical wire can withstand increases as the thickness of the wire increases.

True

False

Answers

true

Explanation:

yes because as withstand increases as the thickness of the wire increases

Define SI unit of measurement.​

Answers

Answer:

the group of units suggested by the international convention of scientists in 1960 AD to make similarties in meseurment all over the world is called SI units

Which symbol and unit of measurement are used for electric current?
symbol. A, unit: 1
symbol: C, unit: A
symbol l; unit C
symbol: 1; unitA

Answers

Answer: Symbol is I and unit A

Explanation: A represents Amperes

HOPE THIS HELPS!!!!!!!!

Uma pilha AA (pilha de controle remoto) fornece ao circuito 1,5V, já uma bateria de carro fornece 12V. Qual a relação entre a energia fornecida entre esses elementos de circuito?

Answers

Answer:

The ratio of energy of AA battery to the car battery is 0.0156.

Explanation:

An AA battery (remote control battery) supplies the circuit with 1.5V, while a car battery supplies 12V. What is the relationship between the energy supplied between these circuit elements?

Supply by AA battery = 1.5 V

Supply by car battery = 12 V

The resistance of the circuit is R.

The energy supplied = V^2/R

The energy supplied by the AA battery is

E = 1.5 x 1.5 / R = 2.25/R

The energy supplied by the car battery is

E' = 12 x 12/ R = 144 / R

So, the ratio of

E : E' = 2.25 : 144 = 0.0156  

Which wave has the smallest amplitude?

Answers

Answer:

C. C

Explanation:

A wave can be defined as a disturbance in a medium that progressively transports energy from a source location to another location without the transportation of matter.

In Science, there are two (2) types of wave and these include;

I. Electromagnetic waves: it doesn't require a medium for its propagation and as such can travel through an empty space or vacuum. An example of an electromagnetic wave is light.

II. Mechanical waves: it requires a medium for its propagation and as such can't travel through an empty space or vacuum. An example of a mechanical wave is sound.

A crest can be defined as the highest (vertically) point on a waveform.

On a related note, a trough is the lowest (vertically) on a waveform.

An amplitude can be defined as a waveform that's measured from the center line (its origin or equilibrium position) to the bottom of a trough or top of a crest. Thus, the vertical axis (y-axis) is the amplitude of a waveform i.e it's measured vertically.

In this scenario, waveform C which is represented by a blue curvy line has the smallest amplitude in comparison with the other waveforms because it has the minimum height when measured from the origin.

In contrast, waveform A represented by a purple line has the highest amplitude because it has the maximum height when measured from the origin.

Mathematically, the amplitude of a wave is given by the formula;

x = Asin(ωt + ϕ)

Where;

x is displacement of the wave measured in meters.A is the amplitude.ω is the angular frequency measured in rad/s.t is the time period measured in seconds.ϕ is the phase angle.

Answer:

The answer is indeed D as the comment above suggests.

Explanation:

Simply put, wave D's highest point is closer to the line than all of the other high points of A, B and C

Deepta adhivnav having weight 450N and 350N are playing see-saw. Deepta sits at a distance of 2m from the fulcrum, how far should abhinav be seated in order to balance deepta?

Answers

Answer:

Explanation:

This is a torque problem where balance is achieved when the sum of the torques equal 0. The equation for torque is

[tex]\tau=F*r[/tex] where F is the force in Newtons that is perpendicular to the lever arm, and r is the length of the lever arm in meters.

450(2) = 350r and

[tex]\frac{450(2)}{350}=r[/tex] so

r = 2.6 m

What wave moves in the same direction as the force that created it?
1. Interference waves
2. Reflected waves
3. Transverse waves
4. Longitudinal waves

Answers

Answer:

im saying 4. its just a guess it makes sense tho

Explanation:

sorry for getting this wrong.

Answer:

longitudinal waves

Explanation:

I got it right

You are trying to hold your 550 g physics books with your hand against a vertical wall. Using a force sensor you know that the force you are applying is 10.0 N. Below the book on the floor you have placed a motion sensor. The position time graph for the book is given. Find the coefficient of kinetic friction.

Answers

The book's position is changing linearly with time, so its velocity is constant. This means that the net force acting on the book in the direction parallel to the surface is

F = 10.0 N - n = 0

where n is the magnitude of the normal force on the book due to the wall, and the net force perpedicular to the surface is

F = f - (0.550 kg) g = 0

where f is the mag. of kinetic friction, and f = µn where µ is the coefficient of kinetic friction.

Then

n = 10.0 N

• f = (0.550 kg) g = 5.39 N

• 5.39 N = µ (10.0 N)

==>   µ = 0.539

Answer:

Above answer

Explanation:

The book's position is changing linearly with time, so its velocity is constant. This means that the net force acting on the book in the direction parallel to the surface is

∑ F = 10.0 N - n = 0

where n is the magnitude of the normal force on the book due to the wall, and the net force perpedicular to the surface is

∑ F = f - (0.550 kg) g = 0

where f is the mag. of kinetic friction, and f = µn where µ is the coefficient of kinetic friction.

Then

• n = 10.0 N

• f = (0.550 kg) g = 5.39 N

• 5.39 N = µ (10.0 N)

==>   µ = 0.539

An ice-skater with a mass of 80kg is holding a bowling ball with a mass of 8 kg. Suppose that the skater tosses the bowling ball forward with a speed of 6 m/s. What is the skater's reactive velocity? Show all work.

Answers

Answer:

0.6 m/s

Explanation:

The details of the masses and velocities are;

The mass of the ice skater, m₁ = 80 kg

The mass of the ball, m₂ = 8 kg

The speed with which the skater tosses the ball forward, v₂ = 6 m/s

Therefore;

According to the principle of conservation of linear momentum, we have;

m₁·v₁ = m₂·v₂

Where;

v₁ = The skater's reactive velocity

Therefore, we get;

80 kg × v₁ = 8 kg × 6 m/s

v₁ = 8 kg × 6 m/s/(80 kg) = 0.6 m/s

The skater's reactive velocity, v₁ = 0.6 m/s.

What would be the electric field (magnitude and direction) of 1.50 cm to the right of a charge of -6.5 × 10-6 C?

Answers

Answer:

Explanation:

The formula for the electric field is

[tex]E=\frac{kQ}{r^2}[/tex]  where E is the magnitude of the electric field, k is Coulomb's constant, Q is the charge of the particle (which is NOT included in the formula), and r is the distance between the centers of the charges (for lack of a better description).

[tex]E=\frac{(9.0*10^9)*(6.5*10^{-6})}{(1.50)^2}[/tex] and we get, to 2 sig fig's

E = 2.6 × 10⁴ to the left (since electric fields are always pointing toward the negative charge and the electric field is to the right of the negative charge)

Two people are pulling the same 12 kg box along a flat, frictionless surface. One
pulls up and to the right with a 30 N force at 20°, the second pulls up and to the left
with a 45 N force at 50°. What is the acceleration of the box?
3.00 m/s^2
09.80 m/s^2
O 1.474 m/s^2
0.474 m/s^2

Answers

Answer:

The acceleration is 0.062 m/s^2.

Explanation:

mass = 12 kg

F = 30 N at 20° right

F' = 45 N at 50° left

Let the acceleration is a.

The net force is

F'' = F' cos 50° - F cos 20°

F'' = 45 x 0.643 - 30 x 0.94 = 28.94 - 28.2 = 0.74 N

According to the Newton's second law

0.74  = 12 x a

a = 0.062 m/s^2

Es frecuente que en las instalaciones eléctricas domésticas se utilice alambre de cobre de 2.05 mm de diámetro. Determine la resistencia de un alambre de ese tipo con longitud de 24.0 m

Answers

Answer:

The resistance is 0.124 ohm.

Explanation:

It is common for domestic electrical installations to use copper wire with a diameter of 2.05 mm. Determine the resistance of such a wire with a length of 24.0 m.

diameter, d = 2.05 mm

radius, r = 1.025 mm

Length, L = 24 m

resistivity of copper = 1.7 x 10^-8 ohm m

Let the resistance is R.

[tex]R =\rho \frac{L}{A}\\\\R = \frac {1.7\times10^{-8}\times 24}{3.14\times1.025\times1.025\times 10^{-6}}\\\\R = 0.124 ohm[/tex]

Size of image is equal to size of object in convex lens, when object is placed:

(a) at F
(b) between F & O
(c) between F & 2F
(d) at 2F

Pls answer fast ​

Answers

Explanation:

the object should be placed at 2F

Answer:

at 2F

Explanation:

hope it will help you

tại sao trái đất lại có trọng lực

Answers

Answer:

wew uhh uhh uhh uhh haha btw thanks po sa points pa brainliest po please po

What uses non-renewable energy?
A)a gematrical heating system
B)a nuclear power station
C)a solar panel
D)a wind turbine

Answers

A nuclear power station



Renewable energy is energy that can be replenished as we use them

URGENT
A river flows toward 90°. Mark, a riverboat
pilot, heads the boat at 297º and is able to go
straight across the river at 6.0 m/s.
a. What is the velocity of the current?
b. What is the velocity of the boat as seen
from the river bank?

Answers

The answer is a,(what is the velocity of the current

Room heaters are placed on the floor of a room; Give reason:

Answers

Room heaters are placed on the floor of a room so that the air heated by it rises up and sets up the convection current in the room quickly and uniformly.

CITEC Option. Work done will if no net force act on the body. (a) maximum (b) minimum (c) zero (d) all of above​



quick answer

Answers

Explanation:

Yes, if force is acting on a body work done can be zero. When an object is at rest and no external force except gravity is acting on it in this case the work that would be zero as the force acting on it is perpendicular.

For example,

When an object is at rest and no external force except gravity is acting on it in this case the work that would be zero as the force acting on it is perpendicular. Therefore the displacement is zero and if displacement is zero work done would be zero.

We know that,

The work done

W=fs

Suppose that displacement is zero then,

W=f×0

W=0

The work done is zero.

Is a nanoliter greater then one liter?

Answers

No, a nanoliter is one billionth of one liter

Imagine a landing craft approaching the surface of Callisto, one of Jupiter's moons. If the engine provides an upward force (thrust) of 3456 N, the craft descends at constant speed; if the engine provides only 2333 N, the craft accelerates downward at 0.39 m/s2. What is the weight of the landing craft in the vicinity of Callisto's surface

Answers

Answer:

[tex]W=3456 N[/tex]

Explanation:

Force 1 [tex]F_1=3456[/tex]

Force 2 [tex]F_2=2333N[/tex]

Acceleration at stage 2 [tex]a_2=0.39[/tex]

Generally the weight of the Craft W is given as

W= upward force(thrust)

Therefore

[tex]W=3456 N[/tex]

I need help with this question below ASAP!
A net force of 400 N is exerted on an object. Its vector speed goes from 66 km / h to 30 km / h in 2.5 s. a) What is the acceleration of this object? B) What is its mass?

Thank you for your help :)

Answers

Answer:

Mass M = 100 kg

Explanation:

Given;

Net force = 400 N

Initial velocity u = 66 km/h

Final velocity v = 30 km / h

Time taken = 2.5second

Find:

Acceleration of this object a

Mass M

Computation:

1 km/h = 0.277778 m/s

So,

Initial velocity u = 66 km/h = 18.333

Final velocity v = 30 km / h = 8.333

Acceleration of this object a = [v - u]/t

Acceleration of this object a = [8.333 - 18.333]/2.5

Acceleration of this object a = -4 m/s²

Mass M = Force / Acceleration of this object a

Mass M = 400 / 4

Mass M = 100 kg

what is the power of ideal sunglass​

Answers

Zero power


(Word cap filler)

STATE THE LAWS OF CONSERVATION OF MOMENTUM​

Answers

[tex]\Huge \mid \underline {\mathcal {{{\color{purple}{Answer...}}}}} \mid[/tex]

When two bodies collide with each other in the absence of an external force, then the total final momentum of the bodies is equal to their total initial momentum.

Firing a small rocket that starts at rest, the VMS-2 rises vertically under uniform acceleration, and in 50 seconds all the fuel is burned out. What is the maximum height at which the rocket rises?​

Answers

It has to not be 50 because that’s already the seconds for the fuel burned out

What conditions can impact the ecological tolerance of a species?
Pls Answer,30 points

Answers

Answer:

climatic changes

ambient changes

human interferance and the growt of cities and human civilization

and invasive especies

Explanation:

Many different physical factors can impact the ecological tolerance of a species like:-

temperature humidity soil chemistry pHsalinity oxygen levels

How physical factors impact the ecological tolerance of a species?Climatic factors such as temperature and precipitation are key drivers to control species distribution directly.Topographic features such as slope and elevation can impact local climate as well as soil conditions that in turn have varied effects on vegetation structure.The relative distance from a water source can also affect the composition and distribution of woody vegetation because of the resulting varying amount of water available for growth. Physical and chemical soil properties can inform vegetation patterns on a local scale.What is a tolerance range?

The portion of the abiotic factor's range of variation which a species can survive and function in is commonly defined as the tolerance range.

To know more about ecological tolerance here

https://brainly.com/question/26471341

#SPJ2

Which statement explains how constructive interference supports the wave model of light rather than the particle model?

O A. Light strikes a metal surface and knocks electrons loose, which particles would not do.

O B. Two light beams intersect, joining together to form a brighter beam, which is a behavior of waves.

O C. Two beams of light intersect, canceling each other out and forming a weaker beam, which is a behavior of waves.

O D. Light waves bend around a corner, but particles would not travel in bent paths.​

Answers

Answer:

B. Two light beams intersect, joining together to form a brighter beam, which is  a behavior of waves

Explanation:

Constructive interference of waves is the effect of the combination of two waves by the addition of their maxima and minima to produce a wave that has an amplitude which is the combination or the sum of the amplitudes of the two initially separate waves

Therefore, the statement, two light beams intersect, joining together to form a brighter beam, which is explainable by the constructive interference of waves, which is a wave behavior, supports the wave model of light rather than the particle model.

Which wave has the largest amplitude?
A.D
B.B
C.C
D.A

Answers

Answer:

D. A

General Formulas and Concepts:

Simple Harmonic Motion

Parts of a wave

PeriodAmplitudeWavelengthCrest/Trough

Explanation:

The amplitude is the distance from the horizon to either the crest or trough of a wave.

In layman's terms, it is how high the wave is.

The "highest" wave would be wave A.

∴ our answer is D.

Topic: AP Physics 1 Algebra-Based

Unit: SMH

Answer:

A (The wave)

Explanation:

Wave A

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