7. A car is moving at 50.0 mph when the driver applies brakes. Determine the distance it
covers before coming to a halt. Coefficient of static friction between the tires and surface of
the road is 0.514. Mass of the car is 1000 kg.

Answers

Answer 1

Answer:

The distance to come to a halt is approximately 49.53 meters

Explanation:

Thee given parameters are;

The speed of the car, v = 50 mph = 22.35 m/s

The mass of the car, m = 1000 kg

The coefficient of friction,  = 0.514

The force of friction of the brake = Mass × Gravity × Friction = 1000 × 9.81 × 0.514 = 5042.34 N

The initial kinetic energy of the car = 1/2×m×v² = 1/2 × 1000 × 22.35² = 249761.25 J

The work done by the brake = Force of the brake × Distance, d, to come to halt

By conservation of energy, we have;

The work done by the brake = The initial kinetic energy of the car

∴ The initial kinetic energy of the car = Force of the brake × Distance, d, to come to halt

The initial kinetic energy of the car = 249761.25 J = 5042.34 N × Distance, d, to come to halt

∴The distance to come to a halt = 249761.25 J /(5042.34 N) ≈ 49.53 meters

The distance to come to a halt ≈ 49.53 meters.

Answer 2

The car will cover 49.65 m distance before stopping due to application of brake.

Given data:

The mass of car is, M = 1000 kg.

The initial speed of car is, u = 50.0 mph = (50)(0.447 m/s) = 22.35 m/s.

The coefficient of static friction is, [tex]\mu = 0.514[/tex].

The given problem can be solved using the third kinematic equation of motion. Which is,

[tex]v^{2}=u^{2}+2as[/tex] ....................................................(1)

Here, v is the final speed, v = 0 (Because car is finally stopping)

s is the distance covered before stopping and a is the magnitude of acceleration.

Now, since frictional force opposes the motion. Then,

[tex]F = f\\\\ma = \mu \times m \times g\\\\a = 0.514 \times 9.8\\\\a =5.03 \;\rm m/s^{2}[/tex]

Substituting the values in equation (1) as,

[tex]0^{2}=23.35^{2}+2(-5.03)s\\\\s = \dfrac{2500}{2 \times 5.03}\\\\ s=49.65 \;\rm m[/tex]

Thus, the car will cover 49.65 m distance before stopping due to application of brake.

Learn more about the Kinematic equations of motion here:

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Related Questions

What was not a positive benefit of Spanish exploration in Oklahoma?
A.
Future interactions between the Spanish and French would have a buffer zone.
B.
Historians gained a written account of Oklahoma in the 15th and 16th centuries.
C.
Geographers gained new knowledge about the continent of North America.
D.
The Spanish and American Indian tribes enjoyed exclusively friendly relations.

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the answer is:

d. the spanish and american indian tribes enjoyed exclusively friendly relations.

Answer:

b. the spanish and american indian tribes enjoyed exclusively friendly relations.

Explanation:

Eclipses occur because the Moon?
A
does not create its own light and only reflects light from the Sun.
o
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с
creates its own light, which is blocked by the Sun during an eclipse.
creates its own light, which is blocked by Earth during an eclipse.

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I’m just here typing don’t mind me

Answer:

с

creates its own light, which is blocked by the Sun during an eclipse.

Explanation:

might not be right but its what i remember

4. Why do chemists use relative masses of atoms compared to a reference isotope rather than the
actual masses of the atoms?
a. The actual mass of an electron is very large compared to the actual mass of a proton.
b. The actual masses of atoms are very small and difficult to work with.
c. The number of subatomic particles in atoms of different elements varies.
d. The actual masses of protons, electrons, and neutrons are not known.

Answers

Answer:

B

Explanation:

Answer:

answer is B

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4.) A boat heading north crosses a wide river at a velocity of 2.778 m/s. The river current pushes the boat east at a constant velocity of 1.389 m/s. Find the resultant velocity. a.) 3.11 m/s b.) 9.65 m/s c.) 0.78 m/s d.) 6.38 m/s​

Answers

Answer:

Resultant velocity = 3.11 m/s.

Explanation:

It is given that,

The velocity of a boat is 2.778 m/s due North

The velocuity of river is 1.389 m/s due east.

We need to find the resultant velocity. The angle between these two velocities is 90 degrees. The resultant is given by :

[tex]v=\sqrt{v_b^2+v_r^2} \\\\v=\sqrt{2.778 ^2+1.389 ^2} \\\\v=3.11\ m/s[/tex]

So, the correct option is (a).

What the meaning of centerpiece​

Answers

Answer:

1 : an object occupying a central position especially : an adornment in the center of a table. 2 : one that is of central importance or interest in a larger whole the centerpiece of a political agenda.

Explanation:

What is an centerpiece?
Answer is :
It is an ornament or display placed in the middle of a dining table
It’s also a (noun)

what is the least massive metalloid of period 5?

Answers

The two metalloids in Period 5 are antimony and tellurium. The eight elements classified as metalloids are in Groups 13 to 17 of the Periodic Table. Metalloids occur along the diagonal stair-step between metals and non-metals. The stair-step line includes the elements from boron to astatine.

Antimony and tellurium are indeed the major metalloids in Periodic 5.

Classes 13 to 17 of the Periodic Law contain the 8 elements categorized as metalloids.

Metalloids are found on the diagonally stair-step that separates metals from non-metals. The components in the upper floors line range from boron to astatine.

The non-metallic property of the components at the top right of the this column is growing. The components on the line's lower left show an increasing amount of metallic behavior.

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Anna is conducting an experiment to determine how weather affects cell phone reception. She is trying to decide the best way to conduct her experiment in order to collect meaningful data.

Which of the following experiments would help Anna collect the best data?
A.
Test different cell phones in different locations on days with rainy weather.
B.
Test different cell phones in different locations on days with clear weather.
C.
Test a cell phone's reception in the exact same location under various atmospheric conditions.
D.
Test a cell phone's reception in one location with clear weather and in another location with rainy weather.

Answers

Your answer should be D.
Hope this helps :)

For the past few days, the weather in Miami has been cool. When the temperature did warm up, the meteorologists noticed that it was also very windy. How could winds influence the temperature?

A. Winds carry energy in the form of heat around Earth.

B. Winds are caused by the energy of the sun.

C. Winds move because of differential heating.

D. Winds transfer energy in the form of heat from the air to the ground.

Answers

Winds transfer energy in the form heat from the air to the ground!

whats the order of solid liquid and gas from least particle motion to the most?

Answers

Answer:

Solid < Liquid < Gas

What is the difference between phi and theta?

Answers

ANSWER: The coordinates used in spherical coordinates are rho, theta, and phi. Rho is the distance from the origin to the point. Theta is the same as the angle used in polar coordinates. Phi is the angle between the z-axis and the line connecting the origin and the point.

draw a diagram of a seismometer showing how the movement of earth is lated into a siesmogram​

Answers

I’ll explain this to you draw a diagram of seismometer show how the earth moves it’s round and it moves on it axis and spins fully which takes it a year 365 days

idk but it seems hard.

A textbook that weighs 2 Newtons is lifted 4 meters. How much work is done on the book?

Answers

Answer:

The answer is 8 J

Explanation:

The work done by an object can be found by using the formula

workdone = weight × distance

From the question

weight = 2 N

distance = 4 m

We have

workdone = 2 × 4

We have the final answer as

8 J

Hope this helps you

Branden ran at 6 m/s for a time of 300s. How much distance did he cover during his run?

Answers

Answer:

The covered distance was 1800 [m]

Explanation:

In order to solve this problem we must use the following formula of kinematics. It is important to make it clear that Branden's speed never changes during that time, or therefore the speed is constant.

[tex]x = x_{o}+v*t\\[/tex]

where:

x = distance [m]

Xo = initial position = 0

v = velocity = 6 [m/s]

t = 300 [s]

Now replacing we have:

x = 0 + (6*300)

x = 1800 [m]

A wave having a wavelength of 1.5 meters and amplitude of 3.0 meters
travels a distance of 15 meters in 3.0 seconds. Determine the frequency
and the period of the wave. *
Your answer

Answers

Answer:

velocity, v = 15m / 3.0s

= 5 ms^-1

velocity = wavelength × frequency

5 ms^-1 = 1.5m × f

f = 5 ms^-1 / 1.5 m

f = 3.33 Hz

f = 1/T

T = 1/f

= 1/ 3.33 Hz

= 0.3 s

frequency, f = 3.33 Hz

period, T = 0.3 s

how can magnetic potential energy be transferred to kinetic energy

Answers

Answer:

A magnetic force can convert kinetic energy stored in a magnetic field to potential energy. Kinetic energy can convert potential energy stored in a gravitational field. A magnetic energy can convert potential energy stored in a gravitational field to kinetic energy.

witch is the property of matter in witch a substance can transfer heat or electricity

Answers

Answer:

B. Conductivity.

Explanation:

Conductivity is the quantity of heat passing per second through a slab of unit cross-sectional area when the temperature gradient between the two faces is unity when put in heat.

When you sit in a chair, your body exerts a downward force on the chair. What
is the reaction force?
A. The floor pushes up on the chair.
B. The chair pushes down on the floor.
C. Earth's gravity pulls up on the chain
D. The chair pushes up on your body.

Answers

Answer:

ITS D !!!

Explanation:

IN ME WE TRUST

When you sit on the chair, your body will exert a downward force and in reaction, the chair pushes up on your body. Hence, option D is correct.

What is a Reaction Force?

A building experiences a reaction force when it rests against another object. Calculating the reaction forces at the supports as a result of the forces operating on the beam is a necessary step in the analysis of a beam structure. The reaction forces can be calculated using a free body diagram of the entire beam.

Corrosion can be caused by reaction forces. For instance, due to the system's increased stiffness, reaction forces increase when bearing clearances are reduced from 350 mm to 150 mm.

According to the question, when the body will exert a downward force that is mg due to gravity, the chair will make a normal reaction force which will be equal to the force applied by the body on the chair.

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write about any five form of energy with example​

Answers

Answer:

The different types of energy include thermal energy, radiant energy, chemical energy, nuclear energy, electrical energy, motion energy, sound energy, elastic energy and gravitational energy.

Answer:

Chemical energy

Explanation:

Ex. gasoline, chemical batteries, and wood

How many valence electrons does chlorine have?

Answers

the answer is 7 i looked it up on google lol

An elevator ascends at a constant speed of 4 m/s. How much time is required for the elevator in order to travel 200m upwards?

Answers

Answer:

Explanation:

Hope this helps, cheers

A thin film of oil with a thickness of 90 nm rests on top of a pool of water. When white light incident on the film is reflected, what color (wavelength of the first order) is seen? The refractive index of the oil is noil =1.45 and of water is nwater=1.33

Answers

Answer:

m=0,  λ₀  = 522 10⁻⁹ m

Explanation:

In this case we can see that the first boy M The reflected light suffers an interference phenomenon, let's analyze what happens on each surface

* When light passes from a medium with a lower refractive index to a medium with a higher refractive index, it undergoes a phase change of pi rad (180º).

  This occurs when passing from air to oil, but not at the oil-water interface.

* within the material the wavelength changes by the refractive index

        λₙ = λ₀ / n

therefore introducing this into the constructive interference equation and assuming almost perpendicular incidence remains

         2 t = (m + ½) λₙ

         2t = (m + ½) λ₀ / n

        λ₀ = 2t n / (m + ½)

light in the first order (m = 1)

       λ₀  = 2 90 10⁻⁹ 1.45 / (1+ ½)

       λ₀  = 174 10⁻⁹ m

the light for zero order (m = 0)

         λ₀ = 2 90 10⁻⁹ 1.45 / (0+ ½)

         λ₀  = 522 10⁻⁹ m

this radiation in the visible range in the green region

y u y u bully me121212121

Answers

Answer:

omg, dude you're  giving out this many free points??

TYSM!!!!

God bless!

What will be acceleration due to gravity of a feather and coin if
they are dropped in vacuum?​

Answers

Explanation:

Hey there!

We know that the objects in vacuum falls equally on the surface or bottom. As there is no air resistance in vacuum, the objects has equal stabdard acceleration. (i.e g = 9.8m/s^2)

So, the acceleration due to gravity is 9.8m/s^2.

Hope it helps....

The sphere that refers to Earth's water is called what?

Answers

Tge sphere that refers to Earth's water is Hydrosphere.

A 7kg of ball experiences a net force of 5N, what will be its acceleration.

Answers

0.7 m/s


explanation:

5/7= 0.7 m/s

star a is composed of 60% hydrogen and star b has 54% hydrogen. which star is older and why

Answers

Answer: hello I think I'm in your class..

Explanation:

Mr. juhl is my teacher and he pit this on a test.

I'm Lennox

What are some common measurements that are given as a rate?

Answers

Answer:

taco bell

Explanation:

What is weight? and what is mass

Answers

Hey :)

Weight is the force acting on the object due to gravity.

Mass is the measure of the quantity of matter that a body or an object contains

Hope this helps :)

Do) 13. Which image BEST represents our galaxy?

Answers

The second option !
Hope this helps

The best image of galaxy is second option.

What is galaxy?

Galaxies are vast systems of gravity-bound gas, dust, dark matter, and anything from a million to a trillion stars. Supermassive black holes are expected to be present at the centers of almost all big galaxies. The sun is merely one of 100 to 400 billion rotating stars in our own galaxy, the Milky Way.

There are more galaxies visible as we gaze farther into space. According to a 2016 study, there are two trillion, or two million million, galaxies in the observable universe. While some of those far-off systems resemble our own Milky Way galaxy, others are very dissimilar,

There are three general types of galaxies elliptical, spiral, and irregular.

So the best shape is second option elliptical with boundary.

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i really need help please just answer at least one

Answers

Answer:

9) a = 25 [m/s^2], t = 4 [s]

10) a = 0.0875 [m/s^2], t = 34.3 [s]

11) t = 32 [s]

Explanation:

To solve this problem we must use kinematics equations. In this way we have:

9)

a)

[tex]v_{f}^{2} = v_{i}^{2}-(2*a*x)\\[/tex]

where:

Vf = final velocity = 0

Vi = initial velocity = 100 [m/s]

a = acceleration [m/s^2]

x = distance = 200 [m]

Note: the final speed is zero, as the car stops completely when it stops. The negative sign of the equation means that the car loses speed or slows down as it stops.

0 = (100)^2 - (2*a*200)

a = 25 [m/s^2]

b)

Now using the following equation:

[tex]v_{f} =v_{i} - (a*t)[/tex]

0 = 100 - (25*t)

t = 4 [s]

10)

a)

To solve this problem we must use kinematics equations. In this way we have:

[tex]v_{f} ^{2} = v_{i} ^{2} + 2*a*(x-x_{o})[/tex]

Note:  The positive sign of the equation means that the car increases his speed.

5^2 = 2^2 + 2*a*(125 - 5)

25 - 4 = 2*a* (120)

a = 0.0875 [m/s^2]

b)

Now using the following equation:

[tex]v_{f}= v_{i}+a*t\\[/tex]

5 = 2 + 0.0875*t

3 = 0.0875*t

t = 34.3 [s]

11)

To solve this problem we must use kinematics equations. In this way we have:

[tex]v_{f} ^{2} = v_{i} ^{2} + 2*a*(x-x_{o})[/tex]

10^2 = 2^2 + 2*a*(200 - 10)

100 - 4 = 2*a* (190)

a = 0.25 [m/s^2]

Now using the following equation:

[tex]v_{f}= v_{i}+a*t\\[/tex]

10 = 2 + 0.25*t

8 = 0.25*t

t = 32 [s]

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