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
fgiga [73]
3 years ago
12

Friction provides the force needed for a car to travel around a flat, circular race track. What is the maximum speed at which a

car can safely travel if the radius of the track is 84.0 m and the coefficient of friction is 0.42?
Physics
2 answers:
blagie [28]3 years ago
7 0

Answer:

The maximum speed at which the car can safety travel around the track is 18.6m/s.

Explanation:

Since the car is in circular motion, there has to be a centripetal force F_c. In this case, the only force that applies for that is the static frictional force f_sbetween the tires and the track. Then, we can write that:

f_s=F_c

And since f_s\leq \mu N and F_c=\frac{mv^{2}}{r}, we have:

\mu N\geq \frac{mv^{2}}{r}

Now, if we write the vertical equation of motion of the car (in which there are only the weight and the normal force), we obtain:

N-mg=0\\\\\\implies N=mg

Substituting this expression for N and solving for v, we get:

\mu mg\geq \frac{mv^{2}}{r}\\\\v\leq \sqrt{\mu gr}

Finally, plugging in the given values for the coefficient of friction and the radius of the track, we have:

v\leq \sqrt{(0.42)(9.81m/s^{2})(84.0m)}\\\\v\leq 18.6m/s

It means that in its maximum value, the speed of the car is equal to 18.6m/s.

KIM [24]3 years ago
3 0

Answer:

v=18.6 m/s

Explanation:

We need to equal the friction force and the centripetal force:

F_{f}=F_{c}

\mu N=ma_{c}

  • N is the normal force (N = mg)
  • μ is the coefficient of friction (0.42)
  • a(c) is the centripetal force (a_{c}=v^{2}/R)

\mu mg=m*\frac{v^{2}}{R}

\mu g=\frac{v^{2}}{R}

v=\sqrt{R\mu g}

v=\sqrt{84*0.42*9.81}

v=18.6 m/s

I hope it helps you!

You might be interested in
Which element will have the greatest attraction for the calcium electrons (if they could combine)? N P As
alisha [4.7K]
N is your answer.....
7 0
3 years ago
Read 2 more answers
Which weather instrument is used to measure air temperatures recorded on a weather map?
Brilliant_brown [7]

Answer:

Thermometer

Explanation:

Hence the name Thermo meaning heat.

7 0
3 years ago
A straight wire, labeled as Wire A, lies horizontally on a tabletop and is oriented to run north-south. A conventional current o
Semmy [17]

Answer:

b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).

d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).

Explanation:

Two parallel conductors experience attractive force when the current flowing in the conductors are in the same direction.

Also two parallel conductors experience repulsive force when the current flowing in the conductors are in opposite direction.

Therefore, b and d are the correct options.

b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).

d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).

3 0
3 years ago
A toy remote control car drives in a circle (the controller is stuck). It makes 8 revolutions in 14
IceJOKER [234]

Answer:

Period for 1 revolution is 1.75 seconds

Explanation:

given data

revolutions R = 8

time t = 14 seconds

to find out

What is the period

solution

we know that Period is the time per revolution

so here period formula that is express as

period = \frac{R}{t} = \frac{8}{14} = 0.57 revolution in one second

so in 1 revolution = \frac{1}{0.57} seconds

so in 1 revolution = 1.75 seconds

so period for 1 revolution is 1.75 seconds

7 0
2 years ago
A British newspaper was interested in whether groups of people who differed in social standing were treated differently when the
fiasKO [112]

Answer:

That there should be no distinction between a person of certain social standing than another form a different one. They all should be treated the same.

Explanation:

Unfortunately, this experiment showed the reality of today´s society: that eventhough racism, social distiction, bullying, is seen as wrong, it is still happening.

Social standing is very important in the bussiness world and service facilities. People still treat better some community or type of person because they think they are "better" for having something or its believes, it´s in their culture.

In this example, the priest had better service because society thinks that people church-related are better because of their values, type of life, etc.

However, the type of life some people have won´t have to matter when a service is provided. All arethe same.

6 0
3 years ago
Other questions:
  • A beam of electrons with of wavelength of 7.5 x 10-6 m is incident on a pair of narrow rectangular slits separated by 0.75 mm. T
    12·1 answer
  • According to accepted atomic models metals are good conductors because their?
    14·1 answer
  • G problem 2.68 determine the magnitude of the resultant force.
    7·1 answer
  • Rowan is walking in a shallow, clear bay, in still water just over her knees. When she looks down at her feet in the sand, she n
    10·1 answer
  • The image produced by a convex mirror is always closer to the mirror than it would be in a plane mirror for the same object dist
    6·1 answer
  • What can happen if the president chooses to veto a law that has been passed? The law returns to being introduced in one of the h
    6·1 answer
  • rs. Rushing fills a balloon with hydrogen gas to demonstrate its ability to burn. Which combination could she use to produce the
    6·2 answers
  • A 5.0-ohm resistor, a 10.0-ohm resistor, and a 15.0-ohm resistor are connected in parallel with a battery. The current through t
    6·1 answer
  • calculate the pressure exerted on the floor when a elephant who weighs 6000N stands on 1 foot which has a area of 20m
    15·1 answer
  • Cho 3 điện trở, R1=R2=R3=10 ôm. Có nguồn điện 12V
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!