Two curves on a highway have the same radii. However, one is unbanked and the other is banked at an angle θ. A car can safely travel along the unbanked curve at a maximum speed v0 under conditions when the coefficient of static friction between the tires and the road is 0.563. The banked curve is frictionless, and the car can negotiate it at the same speed v0. Find the angle θ of the banked curve.

Answers

Answer 1

Answer:

θ = 29.38°

Explanation:

The centripetal force is given by the formula;

F_c = F_n(sin θ) = mv²/r

Now, the vertical component of the normal force is; F_n(cos θ)

Now, this vertical component is also expressed as; F_n(cos θ) = mg

Thus, the slope is;

F_n(sin θ)/F_n(cos θ) = (mv²/r)/mg

tan θ = v²/rg

v² = rg(tan θ)

The initial speed will be gotten from the relation;

(v_o)² = μ_s(gr)

Plugging rg(tan θ) for (v_o)², we have;

μ_s(gr) = rg(tan θ)

rg will cancel out to give;

μ_s = (tan θ)

Thus, θ = tan^(-1) μ_s

μ_s is coefficient of static friction given as 0.563

θ = tan^(-1) 0.563

θ = 29.38°


Related Questions

A gas is compressed to 75cm3 to a volume of 30cm3. Its temperature remains the same The pressure of the gas after it has been compressed is 110 Pa. What was the pressure before it was compressed?

Answers

Given parameters:

Initial volume  = 75cm³

New volume  = 30cm³

New pressure  = 110Pa

Unknown:

Initial pressure = ?

Solution:

Condition: temperature is constant

We simply apply Boyle's law to this problem:

   " the volume of a fixed mass(mole) of a gas varies inversely as the pressure changes if the temperature is constant".

  Mathematically;

          P₁ V₁  = P₂ V₂

where P and V are pressure and volume values

          1 and 2 are the initial and final states.

Input the parameters and solve for P₁;

     P₁ x 75  = 110 x 30

   P₁ = 44Pa

         

The initial pressure is 44Pa

a drum crane whirlwinds in 100m of cable when raising a load of 240N through a height of 10m an effort of 30 000 N is needed Calculate the efficiency showing how you obtained your answer​

Answers

Explanation:

mark as brainliest plssssssssssssss!

The zygote eventually becomes a(n)
sperm
egg
baby
uterus
HURRY 30 MINUTES LEFT
(SCIENCE )

Answers

Answer:

baby

Explanation:

Answer:

The zygote eventually becomes a baby

Explanation:

Got it right on a unit test in edg 2020

A motorcycle can reach a speed of 60 mi/hr much faster than a minivan can

Answers

Answer:

Newton's Second Law of motion

Explanation:

Newton's second law of motion states that 'the rate of change of the momentum of a body is directly proportional to, and in the same direction as, the net force acting on it.' This law applies to the given situation stating that 'a motorcycle can reach a speed of 60mph much faster than a minivan' as the smaller mass accelerates more quickly than the larger. This is because the van would require a more stopping distance as it would be difficult to decelerate due to the heavy mass. While for a motorcycle, it would be much easier to decelerate due to lesser mass. Thus, Newton's second law applies here.

What is the pressure on a surface when a 20 N force is applied 10 m2, 5 m2, 2 m2

Answers

28mm , 5mls , 8mls , hope that helps

True or False: Heavy elements such as Carbon and Nitrogen, that are necessary for life were created in the Big
Bang and have been around in the Universe since that time.

Answers

Answer:

i believe the answer is true

Explanation:

everything was created in the big bang

10- The voltage across the generator of
the circuit of figure 13 is 12V and
the voltmeter V2 indicates 8V:
А
ס
N.
V
L1
L2
B
L
Fig.13
a- What would the voltmeter V3 indicate?
Justify the answer
b- What would the voltmeter Vi indicate?
Justify the answer

Answers

hey! i just wanted to ask if you found the answer because i’m looking for it

A boat is headed with a velocity of 18 meters/second toward the west with respect to the water in a river. If the river is flowing with a velocity of 2.5 meters/second in the same direction as the boat. What would be the magnitude of the boat’s velocity? A. 16.5 meters/second B. 20.5 meters/second C. 18 meters/second D. 2 meters/second E. 45 meters/second

Answers

Answer:

20.5

Explanation:

in this case, the two vectors are in the same direction, so they simply add:

total motion = 18m/s + 2.5m/s = 20.5m/s to the west

A 5000 kg truck and a 1000 kg car are traveling at constant speeds when they collide. What is true about the forces and accelerations on each?

Answers

Impact of truck will be more because it has more weight and more inertia
And you can apply that all stuff you read from book
So yeah

Force is the physical action that can give acceleration to a body upon which it is applied

The true statements about the forces and accelerations of each when they collide are;

The force acting on the truck is equals the reactive force of the car The acceleration of the car is five times the acceleration of the truck

The reasons why the above statements are true are given as follows:

Known:

Mass of the truck, m₁ = 5,000 kg

Mass of the car, m₂ = 1,000 kg

Velocity of the truck = [tex]v_t[/tex]

Velocity of the car = [tex]v_c[/tex]

According to Newton's third law of motion, action and reaction are equal and opposite

The force applied by the truck, F = The reactive force by the car

Force, F = Mass, m × Acceleration, a

Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;

F = 5,000 × a₁ = 1,000 × a₂

[tex]a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1[/tex]

Therefore;

The acceleration (rate of change of velocity) of the car, a₂  due to the collision is five times the acceleration of the truck due to the collision

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HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!!!!!!!!

Answers

Answer:

Explanation:

you can seperate mixtures  by filtration, evaporation, distillation and chromatography.

Answer:

I think, i can separate the mixtures through

FiltrationMagnitizationeverpouration to dryness

whats an astral projection

Answers

Answer:Esotericism

Explanation:

it’s something that’s in intentional out of body experience

Answer:

Astral projection is a term used in esotericism to describe an intentional out-of-body experience that assumes the existence of a soul or consciousness called an "astral body" that is separate from the physical body and capable of travelling outside it throughout the universe.

Explanation:

???whats the answers??

Answers

The answers is 30 miles per hour, the driver is speeding the car up,     section-H, 12 minutes, section-D, and 65 miles per hour.

An airplane lands with an initial velocity of 60 m/s and then slows down at 1.5 m/s2 for 30 seconds. What is its final velocity?
a. 3 m/s
b. 15 m/s
c. 98 m/s
d. 105 m/s

Answers

I think the correct answer is d

Please, can any one help

Answers

Answer:

a = 1.458 [m/s²]

Explanation:

To be able to solve this type of problems it is always advisable to make a free body diagram with the forces acting on the body.

Attached is an image with the free body diagram and the proposed equations, the explanation of obtaining the equations will be described below.

Let's take the movement to the left as positive, i.e. all forces going to the left have a positive sign.

Let's use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

To the left we have the two forces of tension by the cosine of the angle. And to the right the frictional force. The resultant of these forces is equal to the product of the mass (mass of the child plus the mass of the sled), by acceleration.

Which of the following statements is true?

Solar eclipses are safe to look at without special equipment.
The International Date Line runs through Greenwich, England.
New days begin at 180° longitude.
Earth's orbit is a perfect circle.

Answers

Answer:

New days begin at 180° longitude.

Explanation:

Question 2
When an object exerts a force on another object, the second force is
о O
AB
paired
B
oppoosite in direction
с
equal
D
all other answers

Answers

the answer is EQUAL because a force on another object the second force is equal

Drag the tiles to the correct boxes to complete the pairs.
Match the organisms to the descriptions.

scorpion
starfish
octopus
bird

lacks colored blood

had a soft, unsegmented body

is a vertebrate

lacks antennae

Answers

The correct matching of the organisms to their descriptions is given below:

Starfish - lacks colored bloodBird - is a vertebrateOctopus - has a soft, unsegmented bodyScorpion - lacks antennaeWhat is an Organism?

Any organic, living system that performs as an independent unit is referred to as an organism. Cells comprise all living things. Multicellular mammals, plants, and fungi are examples of multicellular creatures. Unicellular microorganisms include bacteria and archaea.

All kinds of creatures can have the capacity for procreation, growth and development, maintenance, and to some extent, stimulus-response. Multicellular organisms such as beetles, tetrapods, mushrooms, and vascular plants grow a variety of tissues and organs.


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what is Newton's second law?
F=mXa
a=F/m
m=F/a
All of the above

Answers

It should be the first one, F= mXa (F = m times a).

In your own words, explain the difference between a conductor and an insulator.
(4th grade)

Answers

Answer: There are different kinds of conductors, most notably electrical and thermal conductors. But they are often inclusive of each other (electrical conductors are typically good thermal conductors). A conductor transmits something through its body with high efficiency while an insulator does not transmit very well. In the case of electricity, a conductor transmits electrical energy between two points while an insulator blocks the flow of electricity. Two examples of conductors are copper and silver. Two examples of insulators are wood and styrofoam.

Explanation:

an antonym of lithium (Li) forms and an iconic bond with atom of chlorine CI to form lithium chloride. how are the valence electrons of these atoms rearranged to form this Bond ?​

Answers

Li , which is located in group 1 of the periodic table, has one valence electron.

Chlorine, which is in group 17 of the periodic table, has seven valence electrons.

When the two atoms bond, lithium will lose one electron and form the lithium cation,  Li + .

Since it loses one electron 7-1 = 6, there will be 6 valence electrons.

How does using a ramp make work easier when loading a piano onto a truck three feet above the ground?
It allows a larger force to be applied over a shorter distance.
It allows a larger force to be applied over a longer distance.
It allows a smaller force to be applied over a shorter distance.
It allows a smaller force to be applied over a longer distance.

Answers

Answer:

It allows a smaller force to be applied over a longer distance.

Explanation:

A ramp is an example of an inclined plane that makes the movement of object   easier above the ground level or higher surfaces.

In the given example, the sloping part of the ramp will support the weight of the piano as it moves up the slope and it will allow less force to be applied to move the piano above but the distance would be longer as the slant length or slope is the longest distance.

Hence, the correct answer is "d".

Answer:

D. It allows a smaller force to be applied over a longer distance.

Explanation:

Question 12 (1 point)
[04.01)
What must happen for liquid water to become water vapor? (1 point)
a
Ob
The water molecules must lose energy and stop moving.
The water molecules must exert less pressure on their container.
The water molecules must gain kinetic energy
The water molecules must lose heat and gain volume.
С
Od

Answers

Answer:

C

Explanation:

Calculate the kinetic energy of a truck that has a mass of 2900 kg and is moving at 55 m/s.

Answers

Answer:

2900 divided by 55 is 52.727272727272727

What happens to the structure of an atom when the atom is ionised?​

Answers

Answer: Explanation:

If the number of electrons is equal to the number of protons then the atom is uncharged and is electrically neutral. However, atoms can gain or lose electrons: increasing or decreasing the negative charge. Ionisation is the addition or removal of an electron to create an ion. ..Gaining an electron creates a negative ion.

Describe the position and velocity of the object based on the motion map.

Answers

Answer:

velocity is 1 m/s

Explanation:

Answer:

Include: The object starts away from the origin.

The object moves toward the origin at a constant velocity.

The object stops for one second.

The object moves away from the origin at a greater constant velocity.

Explanation:

Which statement describes an endothermic reaction? A. Energy is released by the reaction. B. Energy is absorbed by the reaction. C. No energy is transfered by the reaction. D. Energy is created in the reaction. ​

Answers

Answer:It's B energy is absorbed by the reaction,hope this helps

Explanation:

Any reaction in which energy is absorbed is said to be endothermic. Hence, option B is correct, but the rest are not correct.

What is an Endothermic Reaction?

In every chemical process, energy is involved. When new bonds form in products, energy is produced. Reactant bonds are broken using energy. Exothermic reactions are those that produce more energy when new bonds form in the products than is needed to break existing bonds in the reactants.

In contrast, endothermic reactions are the opposite. Endothermic reactions release more energy when new bonds form in the products than is required to break bonds in the reactants.

During the reaction, a large amount of energy is absorbed.

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The cat quickly hopped from the floor onto the couch.
is an example of what? position, motion, speed, velocity or acceleration

Answers

Answer: Motion

Explanation:

Write a short story where the main character needs protection from two different EM radiations

Answers

What this question makes no sense

On Monday, Sylvester walked up 50 stairs in 1 minute. On Tuesday, Sylvester walked up 100 stairs in 2 minutes. Which best describes Sylvester's work and power? a.He did equal work and used equal power on both days. b.He did equal work both days, but used more power on Tuesday. c.He did more work on Tuesday, and used more power on Tuesday. d.He did more work on Tuesday, but used equal power on both days.

Answers

D because he went up 100 stairs which is more stairs than Monday but, still used the same amount of power

A
1. Runners A, B, and C are running a race. Based on their locations, which 20 points
runner is experiencing acceleration?

Answers

Answer:

B) 48 metres

Explanation:

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