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
notsponge [240]
3 years ago
13

The driver of a car traveling at 23.1 m/s applies the brakes and undergoes a constant

Physics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

The tires make 125 revolutions before the car stops

Explanation:

Circular and Linear Motion

A tire rotates around a fixed point and the tire when in contact with the ground, drives a vehicle in a linear path. This is an example of a relationship between both types of movements that can be taking place simultaneously.

The car is moving with an initial speed of v_o=23.1\ m/s and then breaks at a=-1.03\ m/s^2 until it stops. We can compute the time take to stop by using

\displaystyle v_f=v_o+a.t

Solving for t

\displaystyle t=\frac{v_f-v_o}{a}

Putting in numbers

\displaystyle t=\frac{0-23.1}{-1.03}

\displaystyle t=22.427\ sec

Now, let's transfer this information to the circular motion. We know the tangent speed is

\displaystyle v_t=w.r

Being w the angular speed and r the radius of the circle, in this case, the tires. The tangent speed is the same as the speed of motion of the car. It gives us the initial angular speed

\displaystyle w_o=\frac{v_t}{r}

\displaystyle w_o=\frac{23.1}{0.33}=70\ rad/s

When the circular motion is not uniform, i.e. there is angular acceleration \alpha, the angular speed is a function of time

\displaystyle w=w_o+\alpha t

We can compute the angular acceleration knowing the final angular speed is zero when the car stops.

\displaystyle \alpha=\frac{w-w_o}{t}=\frac{0-70}{22.427}

\displaystyle \alpha=-3.121\ rad/s^2

The rotation angle is also a function of time as shown

\displaystyle \theta=w_o\ t+\frac{\alpha t^2}{2}

Using the given and computed values

\displaystyle =70(22.427)-\frac{3.121(22.427)^2}{2}

\displaystyle \theta =784.95\ rad

Knowing each revolution is 2\pi radians, the number of revolutions is

\displaystyle n=\frac{\theta }{2\pi}=125\ rev

The tires make 125 revolutions before the car stops

You might be interested in
An electron is released from rest at the negative plate of a parallel plate capacitor. The charge per unit area on each plate is
Andreas93 [3]

Answer:

v=1.08\times 10^7\ m/s

Explanation:

Initial speed of the electron, u = 0

The charge per unit area of each plate, \dfrac{Q}{A}=1.69\times 10^{-7}\ C/m^2

Separation between the plates, d=1.75\times 10^{-2}\ m

An electron is released from rest, u = 0

Using equation of kinematics,

v^2-u^2=2ad..........(1)

Acceleration of the electron in electric field, a=\dfrac{qE}{m}............(2)

Electric field, E=\dfrac{\sigma}{\epsilon_o}............(3)

From equation (1), (2) and (3) :

v=\sqrt{\dfrac{2q\sigma d}{m\epsilon_o}}

v=\sqrt{\dfrac{2\times 1.6\times 10^{-19}\times 1.69\times 10^{-7}\times 1.75\times 10^{-2}}{9.1\times 10^{-31}\times 8.85\times 10^{-12}}}

v = 10840393.1799 m/s

or

v=1.08\times 10^7\ m/s

So, the electron is moving with a speed of 1.08\times 10^7\ m/s before it reaches the positive plate. Hence, this is the required solution.

3 0
3 years ago
Give an example of free fall​
Elena-2011 [213]

Answer:

A stone that is dropped down into an empty well

3 0
2 years ago
A supersonic jet is at an altitude of 14 kilometers flying at 1,500 kilometers per hour toward the east. At this velocity, how f
Kaylis [27]

Answer:

The jet will fly 2400 km.

Explanation:

Given the velocity of the jet flying toward the east is 1,500 kmph toward the east.

We need to find the distance covered in 1.6 hours.

In our problem we are given speed and time, we can easily determine the distance using the following formula.

Distance=Speed\times Time

Distance=1500\times 1.6=2400\ km

So, the supersonic jet will travel 2400 km in 1.6 hours toward the east from its starting point.

3 0
3 years ago
A particle whose speed is 50 m/sec moves along the line from A(2,1) to B (9,25)
WINSTONCH [101]

First, calculate for the distance between the given points A and B by using the equation,

<span>                                                D = sqrt ((x2 – x1)2 + (y2 – y1)2)</span>

 

Substitute the known values:

<span>                                                D = sqrt((9 – 2)2 + (25 – 1)2)</span>

<span>                                                D = 25 m</span>

 

I assume the unknown here is the time it would require for the particle to move from point A to B. This can be answered by dividing the calculated distance by the speed given above.

<span>                                                t = (25 m)/ (50 m/s) = 0.5 s</span>

 

<span>Thus, it will take 0.5s for the particle to complete the route. </span>

3 0
2 years ago
Х<br> Help<br> Close<br> Pre-video question: What type of cell division produces sperm and<br> ova?
vovangra [49]

Answer:

HI THERE

Explanation:

MEIOSIS produces sperm and ova

thank you

I am also reading this chapter

it will come in my exams

8 0
2 years ago
Read 2 more answers
Other questions:
  • Katrina is a teen from Australia who participates in curling, a sport in which players slide stones across the ice toward a targ
    14·2 answers
  • A crane dose 62500 joules of work to lift the boulder distance of 25 meters how much does the boulder way
    11·2 answers
  • Hey I have a question. " How do I make bacon stop shrinking without the flavor coming out? I tried cold water with the video, bu
    10·1 answer
  • When a pair of identical resistors are con- nected in series, the
    12·1 answer
  • Anyone know how to do this?
    15·1 answer
  • According to Kepler's Second Law the radius vector drawn from the Sun to a planet Multiple Choice is the same for all planets. s
    6·1 answer
  • The product of voltage times amperage is known as what?
    8·1 answer
  • In a parallel circuit, if one connection is broken
    7·1 answer
  • Please help I'm almost done.
    6·2 answers
  • Find the first three harmonics of a string of linear mass density 2. 00 g/m and length 0. 600 m when the tension in it is 50. 0
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!