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
anygoal [31]
3 years ago
10

A car travels at a steady 40.0 m/s around a horizontal curve of radius 200 m. What is the minimumcoefficient of static friction

between the road and the car's tires that will allow the car to travel atthis speed without sliding?
a. 1.23
b. 0.662
c. 0.816
d. 0.952
e. 0.736
Physics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

c. 0.816

Explanation:

Let the mass of car be 'm' and coefficient of static friction be 'μ'.

Given:

Speed of the car (v) = 40.0 m/s

Radius of the curve (R) = 200 m

As the car is making a circular turn, the force acting on it is centripetal force which is given as:

Centripetal force is, F_c=\frac{mv^2}{R}

The frictional force is given as:

Friction = Normal force × Coefficient of static friction

f=\mu N

As there is no vertical motion, therefore, N=mg. So,

f=\mu mg

Now, the centripetal force is provided by the frictional force. Therefore,

Frictional force = Centripetal force

f=F_c\\\\\mu mg=\frac{mv^2}{R}\\\\\mu=\frac{v^2}{Rg}

Plug in the given values and solve for 'μ'. This gives,

\mu = \frac{(40\ m/s)^2}{200\ m\times 9.8\ m/s^2}\\\\\mu=\frac{1600\ m^2/s^2}{1960\ m^2/s^2}\\\\\mu=0.816

Therefore, option (c) is correct.

You might be interested in
Difine scalar quantity​
vfiekz [6]

Scalar quantity are physical quantities that have just magnitude, not direction.

  • It is always positive.
  • Examples: Speed, distance
8 0
2 years ago
What is the gravitational force on a 70kg that is 6.38x10^6m above the earths surface
NARA [144]

Answer:

171.5 N

Explanation:

The gravitational force on an object due to the Earth is given by

F=mg

where

m is the mass of the object

g is the acceleration due to gravity

The acceleration due to gravity at a certain height h above the Earth is given by

g=\frac{GM}{(R+h)^2}

where:

G is the gravitational constant

M=5.98\cdot 10^{24} kg is the Earth's mass

R=6.37\cdot 10^6 m is the Earth's radius

Here,

h=6.38\cdot 10^6  m

So the acceleration due to gravity is

g=\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24})}{(6.37\cdot 10^6 + 6.38\cdot 10^6)^2}=2.45 m/s^2

We know that the mass of the object is

m = 70 kg

So, the gravitational force on it is

F=mg=(70)(2.45)=171.5 N

5 0
3 years ago
Dianne's teacher has a chunk of dry ice for the class to look at. Dry ice is a kind of frozen gas—it is very cold. The teacher w
Gelneren [198K]
The answer is A. Hope this helps you with your work.
4 0
3 years ago
Read 2 more answers
QUESTION 1
Molodets [167]
Question 1: C Question 2: B, Hope this Helps!
3 0
3 years ago
(b)
Leona [35]

Answer:

i wish i knew your answer.

Explanation:

6 0
2 years ago
Other questions:
  • What is the main source of energy
    6·2 answers
  • involves removing the top layer of earth, mining the coal, and then replacing the earth back on the surface.
    6·1 answer
  • The fundamental rule for the attraction and repulsion of magnets is magnetic forces follow the inverse-square law. opposite char
    11·1 answer
  • How did science of cartography came in India​
    10·1 answer
  • A tornado passes in front of a building, causing the pressure to drop there by 25% in 1 second. Part A If a door on the side of
    8·1 answer
  • Which of the following is NOT a characteristic of a state?
    12·2 answers
  • A diode, which allows current to flow in one direction only, consists of two types of semiconductors joined together.
    7·1 answer
  • A 500g cart moving at 0.25 m/s collides and sticks to a stationary 750g cart. How fast do the two carts
    9·1 answer
  • Can someone help me with this
    9·1 answer
  • What is the radius of the 5th orbital in hydrogen?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!