1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimaraw [331]
4 years ago
9

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 tr

avel 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.
Physics
1 answer:
Leviafan [203]4 years ago
7 0

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°

You might be interested in
which of the following astronomers introduced the most widely accepted hypothesis regarding the origin of the solar system?
Oksanka [162]

The astronomers introduced the most widely accepted hypothesis regarding the origin of the solar system is Immanuel Kant in 1755.

Newton's equations of gravity and rotatory motion served as the foundation for most of Kant's theories. He believed that primaeval matter, which he believed to have been generated supernaturally, was dispersed throughout the cosmos. Small, chilly, hard particles made up this substance.

Due to the gravitational pull of one another, these particles were drawn to one another.

In his 1755  "The Universal Natural History and Views of the Heavens," Kant discusses astronomy as well as two significant cosmological theories. The first is his "Nebular Hypothesis" on the formation of stars and planets, in which he proposed that faint, thin clouds of dust and gas far out in space would collapse in on themselves under the influence of gravity, forcing them to spin to form a disc. The development of stars and planets from this rotating disc would account for the rotation of Earth and the other planets.

To learn more about Nebular Hypothesis refer the link:

brainly.com/question/27986174

#SPJ4

6 0
2 years ago
A cylindrically shaped piece of collagen (a substance found in the body in connective tissue) is being stretched by a force that
Marat540 [252]

Answer:

Part(a): The value of the spring constant is 3.11 \times 10^{2}~Kg~s^{-2}.

Part(b): The work done by the variable force that stretches the collagen is 1.5 \times 10^{-6}~J.

Explanation:

Part(a):

If 'k' be the force constant and if due the application of a force 'F' on the collagen '\Delta l' be it's increase in length, then from Hook's law

F = k~\Delta l....................................................................(I)

Also, Young's modulus of a material is given by

Y = \dfrac{F/A}{\Delta l/l}...............................................................(II)

where 'A' is the area of the material and 'l' is the length.

Comparing equation (I) and (II) we can write

&& Y = \dfrac{l~k}{A}\\&or,& k = \dfrac{Y~A}{l}\\&or,& k = \dfrac{Y~(\pi~r^{2})}{l}

Here, we have to consider only the circular surface of the collagen as force is applied only perpendicular to this surface.

Substituting the given values in equation (III), we have

k = \dfrac{3.10 \times 10^{6}~N~m^{-2} \times \pi \times (0.00093)^{2}~m^{2}}{.027~m} = 3.11 \times 10^{2}~Kg~s^{-2}

Part(b):

We know the amount of work done (W) on the collagen is stored as a potential energy (U) within it. Now, the amount of work done by the variable force that stretches the collagen can be written as

W = \dfrac{1}{2}k~x^{2} = \dfrac{(\dfrac{F}{k})^{2}k}{2} = \dfrac{F^{2}}{2~k}...................................(IV)

Substituting all the values, we can write

W = \dfrac{(3.06 \times 10^{-2})^{2}~N^{2}}{2 \times 3.11 \times 10^{2}~Kg~s^{-2}} = 1.5 \times 10^{-6}~J

3 0
3 years ago
How do fossils provide evidence that evolution has taken place
zzz [600]
<span>Fossils provide solid evidence that organisms from the past are not the same as those found today; they show a progression of evolution. Scientists calculate the age of fossils and categorize them to determine when the organisms lived relative to each other. Hope this helps</span>
7 0
3 years ago
A. what is the formula for measuring the price elasticity of supply?
daser333 [38]
Can't you look it up or something? Idk what it is but I can try and look it up for ya! If you want
7 0
3 years ago
Energy may be measured in?​
hram777 [196]

Answer:

Energy May be measured in joule

6 0
3 years ago
Other questions:
  • What is the temperature if the peak of a blackbody spectrum is at 19.0 nm ?
    7·1 answer
  • Which of the four containers represents a compound?<br><br>A)ClB)H2OC)N2D)Na
    8·2 answers
  • When a 1.0-kilogram cart moving with a speed of
    8·2 answers
  • Need help with this physics question!
    13·1 answer
  • A uniform electric field of magnitude 4.6 ✕ 104 N/C is perpendicular to a square sheet with sides 3.0 m long. What is the electr
    11·2 answers
  • A light wave moves from a medium where particles of matter are closely packed to a medium made of very little matter. How do you
    5·2 answers
  • osef applies an input force of 50 N to a crowbar. The crowbar applies a force of 750 N to the lid of a crate. What is the mechan
    14·2 answers
  • A track star runs a 100m race in 12s what is the velocity of the runner?
    15·1 answer
  • A block of mass m is initially moving to the right on a horizontal frictionless surface at a
    6·2 answers
  • Something has a mass of 40 kg and a velocity of 1 m/s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!