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

based on the information given, which part of inverstigation 2 is most likely the independent variable

Answers

Answer:

The independent variable is the variable that is changing.

Explanation:

I gave you this because you did not give us the work for use to see.

A student stands on a spring scale. The scale reads that her weight is 600
Newtons. What is the student's approximate mass?

Answers

Answer:

61.2

Explanation:

F=g.m

<=> 600 = 9.8m

<=> m = 61.224489...

Why is a computer considered technology and not pure science

Answers

Answer:

They aren't considered a type of science, they are machine and they are used by produced electricity so they are a type of technology like our cell phones

Explanation:

Typically, people think of a lava flow when they think of volcanoes. However, some eruptions are mostly ash and steam released into the atmosphere. This type of volcanic eruption is blamed for causing what is referred to as a "Little Ice Age" starting in the 13th century. The ash and steam blocked the sun's rays causing extreme cold and agricultural difficulty which lead to massive decreases in populations.

Describe how the energy from the sun is vital to life. In your response, be sure to include:

1. The form(s) of energy that the sun provides to the Earth.

2. How energy from the sun is transformed on the Earth.

3. At least two ways humans depend on the sun's energy for survival.

Answers

Answer:

number 2

Explanation:

Question 3 (0.4 points)
What happens to the motion and the distance between atoms in a gas such as air
when it is heated to a higher temperature?
The higher the temperature, the less the particles move, so they move slower
and spread apart.
O Motion and distance of atoms in gas are not related to temperature.
The higher the temperature, the more the particles move, so they move faster
and farther apart.
Please help quickly!

Answers

Answer:

As the temperature increases, the molecules and atoms move faster

Explanation:

Can someone help me please, thanks.

Answers

Answer:

rotation

Explanation:

Im pretty sure. Please heart and mark brainliest

Answer:

cycle

Explanation:

either rotation or cycle. I would think.

what does 1N equal? It happens to be one of the questions on my "Newton's Laws of Motion Exercises" paper. ​

Answers

1 Newton is equal to the amount of force required to accelerate an object at a rate of 1 metre per second, every second. One newton is the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in direction of the applied force.

The North American Plate moves at 2.5 cm per year. How many mm does it move in 1 year? Millimeters per day?

Answers

If the North American plate moves 2.5 cm in a year it would convert to 25 mm. To find how many mm it moves in year you would divide 25 by 365. You would get 0.06849315068.


I really hope this is correct :)

Gizmo seasons why do we have them answer key

Answers

Go to course hero they have them but you have to pay

A car traveling around a corner


A. position
B. speed
C. velocity
D. acceleration

Answers

THE ANSWER IS D THERE YOU GOO

someone help me with this please

Answers

Answer:  are u single

Explanation:

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:

The convection currents in the asthenosphere cause the movement of the

Answers

Convection currents generated within the asthenosphere push magma upward through volcanic vents and spreading centres to create new crust. Convection currents also stress the lithosphere above, and the cracking that often results manifests as earthquakes.

Remi travels 160 meters in 4 seconds. What was Remi's initial speed if her final velocity was 6.9 m/s?

Answers

Answer:

73.1 m/s

Explanation:

Given:

Δx = 160 m

v = 6.9 m/s

t = 4 s

Find: v₀

Δx = ½ (v + v₀) t

160 m = ½ (6.9 m/s + v₀) (4 s)

v₀ = 73.1 m/s

Determine which wave carries the greater
amount of energy. explain

Answers

The second one( tryna fill the space )
The last one Bec water travel really fast

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:

please type any energy transformation it will help a lot i would really appreciate it

prize: brainliest

Answers

Answer:

in electric lamp

Electric Energy to Heat and Light Energy

Explanation:

Answer:

Ex: an electric fan transforms electric energy to kinetic energy

Or

Chemical energy to heat and light energy

Explanation:

Hope this helps

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.


Read more about vertebrates here:

https://brainly.com/question/10714806

#SPJ1

what the difanshon of mass?

Answers

Answer:

Mass is a measure of the amount of matter in an object.

Explanation:

APPLYING MAIN IDEAS

How did Bartolomé de Las Casas attempt to help Native Americans?
a.
He petitioned for shortening their workday in the mines.
b.
He convinced Spanish merchants to sell Native American goods around the world.
c.
He asked the king of Spain to enact laws prohibiting their enslavement.
d.
He convinced the Spanish government to grant encomiendas to settlers.

Answers

The answer is C. He asked the king of Spain to enact law prohibiting their enslavement

A delivery truck driver's round-trip route from the warehouse takes her 5 km east, then 2 km north, then 5 km west, and then 2 km south. Which of the following statements is FALSE?​

Answers

they're all right, because he just took a lap and went back to the same starting point,

Which two statements describe reasons a solar cell must contain semiconductors?

A. Semiconductors form a path for the electrons that are released by the photoelectric effect.

B. Semiconductors reflect all forms of electromagnetic radiation.

C. Semiconductors serve as a source of electrons to form an electrical current.

D. Current flows from the positively charged semiconductor to the air above the glass covering​

Answers

Two statements describe reasons a solar cell must contain semiconductors :

A. Semiconductors form a path for the electrons that are released by the photoelectric effect.

C. Semiconductors serve as a source of electrons to form an electrical current.

What is Photoelectric effect?

Photoelectric effect, phenomenon in which electrically charged particles are released from or within a material when it absorbs electromagnetic radiation.

When the semiconductor is exposed to light, it absorbs energy and transfers it to the material, due to which energy reaches to negatively charged particle (electron), which allows the electron to flow in the material as electric current .

hence , correct option will be :

A. Semiconductors form a path for the electrons that are released by the photoelectric effect.

C. Semiconductors serve as a source of electrons to form an electrical current.

learn more about photoelectric effect

https://brainly.com/question/9260704?referrer=searchResults

#SPJ2

what are some hack that I can use to heal up my eyes?

Answers

Answer:

All 7 Dragonballs

Explanation:

the dragonball Summon shenron which will then grant you a wish

Use eye drops maybe??

What is the potential energy of a 2 kg plant that is on a windowsill 1.3 m high

Answers

Answer:

25.506J

Explanation:

Ep = mgh

given that ,

m = 2kg

h =1.3m

g = 9.81 m/s^2

Ep= 2 × 1.3 × 9.81

Ep= 25.506J

An object is dropped from 20. meters above the moon. The acceleration due to gravity on the moon is 1.62 m/s^2
a. How long does it take for the object to impact the moon?
b. At what speed does it impact the moon?

Answers

Answer:

a. Approximately  3.21 seconds

b. Approximately  5.196 m/s

Explanation:

a. The height from which the object is dropped = 20 meters

The location of the occurrence = The moon

The acceleration due to gravity on the moon  = 1.62 m/s²

The time it took the object to to impact the moon is given by the equation of free fall as follows;

h = 1/2·a·t²

Where;

h =The height from which the object is allowed to freely fall = 20 meters

a = The acceleration due to gravity on the moon  = 1.62 m/s²

t = The time of motion of the object

Substituting the values, gives;

20 = 1/2 × 1.62 × t²

t² = 20/(1.2 × 1.62) ≈ 10.23 s²

t = √ 10.23 ≈ 3.21 s

The time in motion of the object before impact, t = 3.21 seconds

b. The final speed, v is given from the equation for speed under free fall, which is presented as follows;

v = u + a·t

Where

u = The initial vertical velocity = 0

Substituting the values gives;

v = 0 + 1.62 × 3.21 ≈ 5.196 m/s

The final speed, v with which the object impacts the moon ≈ 5.196 m/s

What are the relationships between the different wave properties (frequency, wavelength, wave speed, period, amplitude)
Ex) As ___ increases, ___ increases/decreases/remains the same.

Answers

Answer:

As frequency (cycles per second) increases the wavelength decreases.

As frequency increases the period also decreases

If wave speed or velocity increases, so too does the frequency

Amplitude of a wave is totally independent of frequency, period etc.  So it remains the same as frequency shifts.  Like FM radio the amplitude remains the same as the frequency of the broadcast modulates.

Explanation:

F= 1/t  Frequency is inversely proportional to time (wavelength)

Period is the time it takes for one wave cycle to complete   Period is 1/f

++++++++++++++++++++++++++++++++++++

vw=λT  Speed of propagation vw= wavelength x T time

vw=fλ  Knowing frequency multiply times wavelength to get wave speed.

++++++++++++++++++++++++++++++++

Amplitude varies only as the energy applied varies.  Like transmission power, in a 60 hz power feed the amplitude can be 120, 230, 460 volts (note these nominal amplitudes are RMS root mean squared  or .707 of the peak of the waveform).

See link below, images are much easier to process, than plain text of course.  Hope this helps.

Oops not allowed to post a link, it appears.  so try the snippet of URL as attached.

Answer:

Im no expert buh its Wave length. :)

Explanation:

Im taking a test about it hope it helps.

a child riding a bicycle at 15 meters per second accelerates at -3,0 meters per second? for 4.0 seconds. What is the child's speed A at the end of this 4.0-second interval? (with work, all steps))

Answers

Answer:

27m/s

Explanation:

Given data

initital velocity u=15m/s

deceleration a=3m/s^2

time t= 4 seconds

final velocity v= ?

Applying the expression

v=u+at------1

substituting our data into the expression we have

v=15+3*4

v=15+12

v=27m/s

The velocity after 4 seconds is 27m/s

A car traveling on 1-96 approached a construction zone and slowed from 65 miles per hour (30 meters/second) to 45 mph (20m/s) in
5 seconds. Calculate the distance the car will take to slow down.

Answers

Distance = area under the v -t graph
= (30+20)/2 x 5 = 25 x 5 = 125 m

a class is performing an experiment to keep an ice cube solid as long as possible. Which students actions could be a source of error in this experiment

A. Maria checked her ice cube every half hour and forgot to reseal the container she put the ice cube in

B. Jody used a different experimental design than Carlos used

C. Carey repeated the experiment with three different ice cubes

D. Jerrie measured the ice cube before it started to melt

Answers

Answer: the answer Is A. Maria checked her ice cube every half hour and forgot to reseal the container she put the ice cube in

Explanation: I just took the test

Answer:

A

Explanation:

APEX:)

True or False
The ecological niche of a species is the place where its members live.

Answers

Answer:

true

Explanation:

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