A 2000 kg car moves along a horizontal road at speed vo

15.9 m/s. The road is

wet, so the static friction coefficient between

the tires and the road is only pls 0.105 and

the kinetic friction coefficient is even lower,

= 0.0735.

The acceleration of gravity is 9.8 m/s2.

What is the shortest possible stopping dis-

tance for the car under such conditions? Use

g= 9.8 m/s² and neglect the reaction time of

the driver.

Answer in units of m.

Answers

Answer 1

Answer:

The shortest possible stopping distance of the car is 175.319 meters.

Explanation:

In this case we see that driver use the brakes to stop the car by means of kinetic friction force. Deceleration of the car is directly proportional to kinetic friction coefficient and can be determined by Second Newton's Law:

[tex]\Sigma F_{x} = -\mu_{k}\cdot N = m \cdot a[/tex] (Eq. 1)

[tex]\Sigma F_{y} = N-m\cdot g = 0[/tex] (Eq. 2)

After quick handling, we get that deceleration experimented by the car is equal to:

[tex]a = -\mu_{k}\cdot g[/tex] (Eq. 3)

Where:

[tex]a[/tex] - Deceleration of the car, measured in meters per square second.

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]\mu_{k} = 0.0735[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then deceleration of the car is:

[tex]a = -(0.0735)\cdot (9.807\,\frac{m}{s^{2}} )[/tex]

[tex]a = -0.721\,\frac{m}{s^{2}}[/tex]

The stopping distance of the car ([tex]\Delta s[/tex]), measured in meters, is determined from the following kinematic expression:

[tex]\Delta s = \frac{v^{2}-v_{o}^{2}}{2\cdot a}[/tex] (Eq. 4)

Where:

[tex]v_{o}[/tex] - Initial speed of the car, measured in meters per second.

[tex]v[/tex] - Final speed of the car, measured in meters per second.

If we know that [tex]v_{o} = 15.9\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] and [tex]a = -0.721\,\frac{m}{s^{2}}[/tex], stopping distance of the car is:

[tex]\Delta s = \frac{\left(0\,\frac{m}{s} \right)^{2}-\left(15.9\,\frac{m}{s} \right)^{2}}{2\cdot \left(-0.721\,\frac{m}{s^{2}} \right)}[/tex]

[tex]\Delta s = 175.319\,m[/tex]

The shortest possible stopping distance of the car is 175.319 meters.


Related Questions

Digging downward through a soil profile, how deep would you have to go before you found recognizable fragments of the parent rock for the soil?

Answers

You Willis have to go about 6 -7 ft down

The weight of a box is having a mass of 100 kg is ___n

Answers

Answer: the weight of the box is 980N

Explanation:

The weight an object has is defined as  the force of gravity acting  on that object which is given as

w =m x g

Since weight is defined as a force, it can also be written as

w=mg

= F= mg

where m= mass of the object in kg given as 100Kg

an g is the gravitational acceleration in  m/s^2 =  g is 9.8 m/s2

F= mg

F = 100 kg x 9.8 m/s2

F== 980Kgm/s^2 = 980N

Therefore the weight of the box is 980N

3 The diagram shows a model of an atom. The model has four different symbols on it. Each
symbol represents a different role for one of the particles within the atom.
Model Atom
(W
Particle
w
Charge
Negative
Positive
х
Y
Neutra!
Negative
z
w
In this model, which particle determines the identity of this atom?
A Particle w
C Particle Y
B Particle X
D Particle z

Answers

The Answer is particle Z

Answer:

answer is D

Explanation:

A ball is thrown vertically upward with an initial velocity of 29.4 m/s². What is the maximum height reached by the ball? How long is the ball in the air? What is the final velocity of the ball before it goes back to its original position?​

Answers

Answer:

Most likely it will reach 29.4 up in the air before coming back down.

Explanation:

The force of the ball will be the same on how high it will go.

Clouds in our atmosphere cause us to see the different phases of the moon.

True

False

Answers

Answer:

False

Explanation:

:)

Answer:

The answer is false

Explanation:

The clouds have nothing to do with the changes in the phases of the moon but, rather the postioning of the sun and the moon regarding revolution and the spinning of the earth on it axis.

I hope this helps you good luck and have a good day.

PLEASE HELP! HURRY. ALMOST OUT OF TIME

Answers

Answer:

balanced hurry up fam

gurry hurry hurry

3) it’s balanced.
.......

which force produces acceleration in falling bodies?​

Answers

Answer:

Gravity produces acceleration

Gravity is a force that pulls object down to the ground. When object fall to the ground, gravity causes them to accelerate.

F all of the energy in a falling object's gravitational potential energy store is transferred to its kinetic energy store by the time it lands, then the relationship shown below can be used. Which of the four options below it correctly shows how this relationship can be expressed in terms of height, h?

Answers

Answer:

The options are not shown, so let's derive the relationship.

For an object that is at a height H above the ground, and is not moving, the potential energy will be:

U = m*g*H

where m is the mass of the object, and g is the gravitational acceleration.

Now, the kinetic energy of an object can be written as:

K = (1/2)*m*v^2

where v is the velocity.

Now, when we drop the object, the potential energy begins to transform into kinetic energy, and by the conservation of the energy, by the moment that H is equal to zero (So the potential energy is zero) all the initial potential energy must now be converted into kinetic energy.

Uinitial = Kfinal.

m*g*H = (1/2)*m*v^2

v^2 = 2*g*H

v = √(2*g*H)

So we expressed the final velocity (the velocity at which the object impacts the ground) in terms of the height, H.

PLEASE HELP!! ILL MARK BRAINLYEST!!!

A chemical change occurs when a substance changes phase.


True
False

Answers

Answer:

False

Explanation:

PLEASE HELP ME FAST!
Which of these sentences best illustrates visualization using a sequence of events? A. The earthquake sent out a shock waves in all directions. The sea surface is disturbed also. Big waves are formed. These waves travel fast across the sea. They are dangerous and can kill. B. Then, all of a sudden, a strong earthquake strikes off the coast of Alaska, deep down on the seafloor. After this, the seafloor moves up and down. Next the walls and floors of the house is suddenly start to shake. C. Both A and B. D. Neither A or B.

Answers

Answer:

Explanation:

C. Both A and B I guess

Answer:

its b

Then, all of a sudden, a strong earthquake strikes off the coast of Alaska, deep down on the sea floor.  After this, the sea floor moves up and down.  Next, walls and floors of the houses suddenly start to shake.

Explanation:

mark me brainleist please!

also i really hope this helps and have a really good day

-TA

ILL GIVE BRAINLY THING


Tom has been hired to deliver 11 m3 of sand. If the truck that Tom is driving has a truck bed that is 2.5 m X 1.6 m, X 0.75 m how many trips will Tom need to complete the order?


PLS GO TO MY PROFILE TO SEE THE OTHER QUESTIONS I POSTED I GIVE BRAINLY THING FOR THOSE AS WELL THANK YOU

Answers

Answer:

About 3 trips

Explanation: if we do 2.5m*1.6m*0.75 it equals to 11000 then we divide that to 11m3 and it gives you 3.6 so it will be about 3 times

Thx

can the answer to density be simplified​

Answers

Answer: yes because all densities can be simplifed it just depends on the number.

what is torricellian vaccum

Answers

Answer:

a vacuum formed above the column of mercury in a mercury barometer.

Answer:

An air-free space above the free surface of a liquid in a vessel that is closed above the liquid

why does nobody love me?

Answers

Answer: I’m sure theirs people out there that like you, and if there isn’t, you should just focus on yourself.

Explanation:

Answer:

Well, There are a couple reasons it could seem like nobody loves you...

Explanation:

One reason is that people really do love you, they just were never shown love and affection so they are unsure of how to show that to you. Another reason could be that it's god telling you that you are meant for much bigger and greater things. Maybe it's him reminding you that, yeah, people really suck, but that's life, and you're better than that. If you make the right decisions in life, you will be able to stand taller than they ever did. I hope this helps.. : )

A car on flat ground accelerates at 0.785 m/s2 when a net force of 1050 N acts on it. How much normal force acts on it?

Answers

Answer:

13108.3N

Explanation:

Given parameters:

Acceleration = 0.785m/s²

Net force  = 1050N

Unknown:

Normal force acting on car  = ?

Solution:

The normal force on this car is the weight of the car;

   Normal force  = mg

where m is the mass of the car

           g is the acceleration due to gravity = 9.8m/s²

Now solve for the mass;

             Net force  = mass x acceleration

                1050  = mass x 0.785

                 mass  = [tex]\frac{1050}{0.785}[/tex]   = 1337.6kg

So,

     Normal force  = 1337.6kg x 9.8m/s² = 13108.3N

13108 works as well for acellus

A dictator junk gang has all the gas left in the region. They are requiring 2 kg of scrap
metal in exchange for gasoline which they are selling by the liter. Your water rig is
American made with a gallon gas tank and it can drive 30 miles per gallon. How many
liters of gasoline do you need from the junk gang in order to successfully make it the
new destination?

Answers

Explanation:

here u go..................................

The volume of the gasoline needed for the gang to successfully make it to the new destination is 340.02 liters.

"Your question is not complete, it seems to be missing to following information";

the new destination of the gang is 2695 miles

The given parameters;

the rate of gasoline consumption, v = 30 miles per gallonthe new destination of the gang = 2695 miles

1 gallon = 3.785 liters

The rate of gasoline consumption in miles per liter is calculated as;

[tex]v = \frac{30 \ miles}{gallon } \times \frac{1 \ gallon}{3.785 \ liters} = 7.926 \ miles/liter[/tex]

The volume of the gasoline needed for the gang to successfully make it to the new destination is calculated as;

[tex]volume \ of \ gasoline = \frac{2695 \ miles}{7.926 \ miles/liter} = 340.02 \ liters[/tex]

Thus, the volume of the gasoline needed for the gang to successfully make it to the new destination is 340.02 liters.

Learn more here: https://brainly.com/question/14554216

Miguel added 150 grams of baking soda to a liter of water at 20 °C. No matter how long he keeps stirring the solution, he can’t get all of the baking soda to dissolve. Explain why.

Answers

Answer:

See the answer below

Explanation:

This is because, at 20 °C, the solution has become saturated with the baking soda.

The solubility of a substance is the maximum amount of that substance that will dissolve in a particular solvent at a given temperature. The solubility of a substance generally increases with an increase in temperature.

At 20 °C temperature, the maximum amount of baking soda that can dissolve in a liter of water has been exceeded by Miguel. Hence, no matter how hard he tries to stir the solution, the excess baking soda will not dissolve.

The reason he can’t get all of the baking soda to dissolve is; because at 20 °C, the solution has become saturated with the baking soda.

What is a saturated solution?

For us to say a substance is soluble, it means that the maximum amount of that substance will dissolve in a particular solvent at a given temperature. Thus, the solubility of a substance is said increase with a corresponding increase in temperature.

From the question, at 20 °C temperature, miguel has exceeded the maximum amount of baking soda that can dissolve in a liter of water. Therefore, no matter how hard he tries to stir the solution, it will not dissolve due to the excess soda.

Read more about saturated solution at; https://brainly.com/question/4529762

What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?

5 kg • m/s
18 kg • m/s
45 kg • m/s
60 kg • m/s

Answers

Answer:

The answer is 45 kg • m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

mass = 15 kg

velocity = 3 m/s

We have

mass = 15 × 3

We have the final answer as

45 kg • m/s

Hope this helps you

Answer:

45 kg • m/s

Explanation:

The temperature of a 5.0 kg block increases by 3 degrees C when 2,000 J of thermal energy are added to the block. What is the specific heat of the block? _____________

Answers

Sorry bro I just need points for my calculus exam

PLSSS HELP ITS URGENT ILL RATE YOU BRAINLIEST:) A truck whose bed is 4 m long, 2.2 m wide, and 1.0 m high is delivering sand for a sand-sculpture competition. About how many trips must the truck make to deliver 23 m^3 of sand?

Answers

Answer:

one truck load is 2.5*1.5*1 = 3.75m^3

7/3.75 = 1.86 loads,

so 2 trips must be made.

Explanation:

a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take

Answers

Answer:3982/27.6=144.275

Explanation:The trip took 144 hours as 3982/27.6 is about 144.

PLEASE HELP!!!! ILL MARK BRAINLYEST!!

A change in the size or shape of a substance is a _________ change

A. chemical
B. physical
C. material
D. nuclear

Answers

The answer will be B

Kinetic and potential energy are forms of what kind of energy?

gravitational

chemical

electrical

mechanical

Answers

Answer:

mechanical energy

Explanation:

The key difference that exists between kinetic energy and potential energy lies in the fact that, potential energy is that form of mechanical energy which is stored within an object, ready to be released as and when needed to do some work, while, kinetic energy is that form of mechanical energy that has been released and is associated with the body in motion.

Mamie Clark was a psychologist who is known for her research on __________. A. intellectual and developmental disabilities and gifted children B. racism and its adverse effects on child development C. identity development among Asians living in the US D. academic development of children in desegregated schools

Answers

Answer:

B. racism and its adverse effects on child development

Explanation:

Dr. Mamie Clark studied the effects of segregation and racism on the self-esteem of black children.

According to Clark in O'Connell & Russo, 2001, p. 271; "To separate them from others of similar age and qualifications solely because of their race generates a feeling of inferiority as to their status in the community that may affect their hearts and minds in a way unlikely ever to be undone...."

One of her works titled "The Development of Consciousness of Self and the Emergence of Racial Identification in Negro Preschool Children" investigated the early level of conscious racial identity in black preschool children.

Answer:

B

Explanation:

cuz its B

If a rock falls for 5 seconds near the surface of the earth and with no air friction, it will reach a velocity of

Answers

Answer: -49m/s.

Explanation:

As the rock only falls, we will assume that the initial vertical velocity is zero.

We neglect the air friction, so the only force acting on the rock is the gravitational force, this means that the acceleration is -g = -9.8m/s^2.

Then we can write:

a(t) = -9.8m/s^2

To write the velocity of the rock, we must ingrate over time and get:

v(t) = (-9.8m/s^2)*t + v0

where v0 is the initial vertical velocity, and as we said above, v0 = 0m/s

Then the vertical velocity as a function of time is:

v(t) = (-9.8m/s^2)*t

Now, the question is:

"...If a rock falls for 5 seconds near the surface of the earth and with no air friction, it will reach a velocity of..."

Then we need to evaluate the velocity equation in t = 5 seconds.

v(5s) = (-9.8m/s^2)*5s = -49m/s.

Use the principle of superposition (Equation 1.3) to predict the electric field at the point 0.5 meters to the right and 1.5 meters above the 5 nC charge. Express your result both in terms of x and y components, and then in terms of total magnitude and direction.

Answers

Answer:

Explanation:

The x component of electric field Ex = k Q / R²

= 9 x 10⁹ x 5 x 10⁻⁹ / .5²

= 180 N .

The y component of electric field Ey = k Q / R²

The y component of electric field Ey

= 9 x 10⁹ x 5 x 10⁻⁹ / 1.5²

= 20 N

Total field = [tex]\sqrt{180^2+20^2}[/tex]

= 181.1 N .

Angle with x axis = Tanθ = Ey / Ex = 20 / 180 = .111

= 6.33⁰

Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
Gravity is a constant force
The bowling ball wil adapt to the changes in gravity
Matter is resistant to acceleration and changes in gravity
The amount of matter in the bowling all remains the same

Answers

Answer:

D hope this helps

Explanation:

Answer:

D

Explanation:

The amount of matter in the bowling ball remains the same.

plz answer this very soon

Answers

Answer:

Im gonna say it is answer A:) Hope this helps!

Explanation:

!!! I NEED URGENT HELP !!!

Answers

Answer:

P = W / t       where P is power and W the work done

P = F x / t = F v

Then v = P / F = 450 J/s / 350 N = 1.29 m/s

T = 46.6 m / 1.29 m/s = 36.1 sec      where T is the required time

Answer the following:
You are going to race your friend to a tree near the back of the playground. The tree is 24 meters away from where you stand. It will take you 4 seconds to reach the tree. What will your average speed be?

Answers

Answer:

1. 6 m/s.

2. 320 miles.

Explanation:

1. Determination of the average speed.

Total distance travelled (D) = 24 m

Total time (t) = 4 s

Average speed =.?

Average speed is simply defined:

Average speed = Total distance /total time

Average speed = 24/4

Average speed = 6 m/s

2. Determination of the distance travelled by the train.

Speed = 40 mph

Time = 8 h

Distance =?

Speed is simply defined as:

Speed = Distance /time

40 = Distance / 8

Cross multiply

Distance = 40 × 8

Distance = 320 miles

Therefore, the train travels a distance of 320 miles.

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