Your car can brake with a deceleration of 6 m/s2. The car is initially going at 40 m/s.
a) How long will it take the car to come to a full stop?

b) If the car is 5 meters long, about how many car lengths should be kept between you and the car in front of you (assume the car in front of you comes to a stop immediately).

Answers

Answer 1

The time of motion of the car before coming to a full stop is 6.67 s.

The car length that should be kept between you and the car is 138.33 m.

The given parameters;

acceleration of the car, a = - 6m/s²initial velocity of the car, u = 40 m/s

The time of motion of the car before coming to a full stop is calculated as follows;

\(v = u + at\\\\when \ the \ car \ stops , \ v = 0\\\\0 = u + at\\\\0 = 40 -6t\\\\6t = 40\\\\t = \frac{40}{6} = 6.67 \ s\)

The distance traveled by the car before coming to a full stop;

\(v^2 = u^2 + 2as\\\\0 = u^2 + 2as\\\\0 = 40^2 -2(6)s\\\\0 = 40^2- 12s\\\\12s = 1600\\\\s = \frac{1600}{12} \\\\s = 133.33 \ m\)

The car length that should be kept between you and the car is calculated as;

car length in front of you = 5 m + 133.33 m = 138.33 m

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Related Questions

a volleyball hit into the air has an initial speed of 10.0 meters per second. which vector best represents the angle above the horizontal that the ball should be hit to remain in the air for the greatest amount of time?

Answers

The optimal angle at the ball should be struck to keep it in the air for the longest is 90 degrees

Explain about the Angle?

Angles of incidence and reflection are equal when waves strike a boundary and are reflected. The angle of incidence is the angle formed by a line drawn perpendicular to the reflecting barrier and the wave's direction of motion.

The angle between a ray incident on a surface and the line perpendicular to the surface at the point of incidence is known as the angle of incidence (called as normal).

The angle of incidence is the angle formed by the incident beam and the normal. The angle of reflection is the angle formed by the reflected beam and the normal. i.e:∠i=∠r.

Longer time will be the outcome of a higher trajectory. Therefore, a 90-degree angle takes longer to complete than other angles.

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If you approach a light beacon while traveling at one half the speed of light (0.5c) you woll measure the speed of light from the beacon to be:__________

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If you approach a light beacon while traveling at one half the speed of light (0.5c) you will measure the speed of light from the beacon to be 0.5 c.

Anti-collision lights, sometimes referred to as beacon lights or strobe lights, are a series of lights that must be installed on every aircraft in order to increase visibility to other aircraft and prevent collisions by alerting other pilots. Light-emitting diodes have lately replaced the incandescent bulbs that were previously used.

Beacon lights are most frequently made of red, amber or yellow, blue, green, and white. Red is used to convey stern warnings about hazards or danger and is most frequently seen on vehicles operated by law enforcement or fire departments.

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We all play on the roller coaster in playgrounds, but Ahmad suggested playing this game alone. Take point B as a reference level. Suppose Ahmad starts from rest at point A and moves downward towards point B. What happens to his gravitational potential energy as he moves downward?

Answers

Answer:

b

Explanation:

give two reasons why biomass energy might not be a good alternative Energy source

Answers

\( \sf{ \huge}{ \colorbox{black}{l \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}\)

as for the production of biomass energy wood is mostly used source and burning of wood for the production of biomass energy can lead to the risk of deforestation in the future and emissions of carbons, pollute the surrounding. Thus this is the reason biomass energy might not be a good alternative energy source.

\( \sf{\huge}{\colorbox{black}{I \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}\)

find weight of 45 kg at height 800 km from earth's surface?​

Answers

Answer:

The weight is 348.4 N

Explanation:

Effect of the Altitude on the Acceleration of Gravity

The effect of gravity decreases with altitude because greater altitudes mean greater distances from the Earth's center.

The practical formula to calculate the gravity as a function of the altitude h is:

\({\displaystyle g_{h}=g_{0}\left({\frac {R_{\mathrm {e} }}{R_{\mathrm {e} }+h}}\right)^{2}}\)

Where go is the conventional gravitational acceleration = \(9.80665\ m/s^2\)

R is the Earth's mean radius at the equator = 6,378 Km

h is the altitude.

At a height of h=800 Km, the acceleration of gravity is:

\({\displaystyle g_{h}=9.80665 m/s^2\left(\frac {6,378 Km }{6,378 Km+800Km}}\right)^{2}}\)

Calculating:

\(g_h=7.74\ m/s^2\)

The weight is the product of the acceleration of gravity by the mass of the object, thus:

\(W=45\ Kg\cdot 7.74\ m/s^2=348.4\ N\)

The weight is 348.4 N

6. The speed of sound waves in air is 330 m/s. A sound wave has a frequency of 750 Hz.
a. What is its wavelength as it travels through air?
b. What is its period?

Answers

Answer:

Wavelength = 0.44 meter

Time period = 0.0013 seconds

Explanation:

Given:

Speed of sound = 330 m/s

Frequency = 750 Hz

Find:

Wavelength

Time period

Computation:

Wavelength = Velocity / Frequency

Wavelength = 330 / 750

Wavelength = 0.44 meter

Time period = 1 / Frequency

Time period = 1/750

Time period = 0.0013 seconds

the total energy of a system is 300j. if the potential energy is 40j what is the kinetic energy if the object started 300m above the ground?

Answers

Answer:

43.3 m/s.

Explanation:

Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:

Total energy = Potential energy + Kinetic energy

Kinetic energy = Total energy - Potential energy

Kinetic energy = 300 J - 40 J = 260 J

However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:

Potential energy = mgh

40 J = m(9.81 m/s^2)(300 m)

m = 0.137 kg

Now we can use the kinetic energy to find the velocity:

Kinetic energy = (1/2)mv^2

260 J = (1/2)(0.137 kg)v^2

v^2 = (2*260 J) / 0.137 kg

v = 43.3 m/s (rounded to one decimal place)

Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.

the magnetic lines of force flowing into and out of magnets cause magnets held close to each other to have ? .

Answers

The magnetic lines of force flowing into and out of magnets cause magnets held close to each other to have a magnetic force. When a magnet is close to another magnet, magnetic lines of force will move between them. As a result, the magnets will attract or repel each other.

In the presence of a magnet, the magnetic lines of force are curved. The magnetic force is produced as a result of the presence of magnetic lines of force. The force is felt between magnets, which may either attract or repel each other. The direction of magnetic lines of force is from the North Pole of a magnet to the South Pole of the magnet.

An explanation for the magnetic lines of force:

A magnet is a type of material that creates a magnetic field, which is caused by the movement of electrons in its atoms. When a magnetic field is created by a magnet, the magnetic lines of force are said to be present. The direction of the lines of force is from the North Pole to the South Pole. The lines are also said to be curved, which is caused by the shape of the magnetic field.

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What is the relationship between an electromagnetic wave and the vibrations of the electric and magnetic fields it moves through?

O A. The vibrations of the fields move in a direction opposite to that of the wave.

O B. The vibrations of the fields are in the same direction but perpendicular to the motion of the wave.

O C. The vibrations of the fields are perpendicular to the direction of motion of the wave.

OD. The vibrations of the fields and wave motion are parallel to each other.​

Answers

Answer:

c

Explanation:

The correct statement is: "The vibrations of the fields are perpendicular to the direction of motion of the wave."

To find the correct statement among all the options, we need to know more about the Electromagnetic wave.

What is electromagnetic wave?

Electromagnetic wave is a combination of electric field and magnetic field. It's a transverse wave and travels at the speed of light.

How does the electromagnetic wave travel?

In the electromagnetic wave, both the electric field and magnetic field travel perpendicular to each other i.e. the vibration of both the fields are perpendicular to each other as well as perpendicular to the direction of propagation.

Thus we can conclude that the option (C) is correct.

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What is the relationship between an electromagnetic wave and the vibrations of the electric and magnetic

If you run a lap around a track of 200 m. What should be distance and displacement?

Answers

Distance is 200m and Displacement is 0m

A heater marked 2000W/3000W is switched on for 4 hours. For the first hour it is on the highest setting and for the last 3 hours it is on the lowest setting

1.1 How much energy does it transfer to the room in kWh (9kWh)

Answers

Answer:

9 kW-hr

Explanation:

3000 W  = 3 kW          for 1 hr =    3 kW - hr

2000 W  = 2 kW          for 3 hr =   6 kW -hr

total power =   3 + 6 = 9 kW-hr

The science of "statics"... d. originated in the 1850's. e. explains how objects move. c. developed out of the enlightenment period in europe. a. is defined by zero acceleration. b. is defined by newton's 3rd law.

Answers

The science of "statics" is defined option a- by zero acceleration.

Statics is a branch of mechanics that deals with the analysis of forces and their effects on objects that are either at rest or moving at a constant velocity. In statics, the focus is on the equilibrium of forces, which means that the net force acting on an object is zero.

This leads to the definition of statics as the branch of mechanics that deals with zero acceleration. In other words, if an object is at rest or moving at a constant velocity, then the net force acting on it must be zero. This is a fundamental principle of statics, and it is used to analyze a wide range of problems, from the stability of structures to the behavior of fluids. The origins of statics can be traced back to ancient Greece, but it was developed further during the Enlightenment period in Europe, particularly by scientists such as Galileo and Newton. Therefore correct option is A.

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HELP!!! 50 POINTS AND BRAINLY-EST

HELP!!! 50 POINTS AND BRAINLY-EST

Answers

B. Wave 1 has a smaller amplitude than wave 3.

Explanation:

The smaller the amplitude is, the more waves it's gonna  have. And you can tell, wave 1 has more waves than wave 3.

HELP all electromagnetic waves travel through
1-air
2-tissue
3-space
4-molecules










HELP all electromagnetic waves travel through 1-air2-tissue3-space4-molecules

Answers

Answer:

space is the answerrrerreer

Julie ran the 50-meter dash in 20 seconds. What was her speed?

plz answer ASAP dont give links to answer please

Answers

Answer:

50/20 = ans

Explanation:

you tube - superio s

What is the force of repulsion between two points positive charges 5 and 8 separated at a distance of 0.02m apart

Answers

Explanation:

F =(frac{1}{4{pi}{varepsilon}_o}) x (frac {q_1q_2}{r^2})

F =(frac {5 {times} 10 {times} 8 {times} 10}{0.002 {times} 0.002}) x 9 x 10

F = 900N

A solution consists of 42.00 g of CuSO4 dissolved in 200.0 mL of water. The molar mass of Cu is 63.55 g/mol, the molar mass of S is 32.07 g/mol, and the molar mass of O is 16.00 g/mol. What is the molar it’s of the solution? Show all your work

Answers

Answer:

1.315 M

Explanation:

First, you need to find the number of moles of CuSO4 in 42.00 g. The molar mass of CuSO4 is calculated by adding the molar masses of Cu, S and 4 O atoms: 63.55 g/mol + 32.07 g/mol + (4 x 16.00 g/mol) = 159.62 g/mol.

So, the number of moles of CuSO4 in 42.00 g is: (42.00 g) / (159.62 g/mol) = 0.263 mol.

Since molarity is defined as the number of moles of solute per liter of solution, we need to convert the volume of water from mL to L: (200 mL) x (1 L / 1000 mL) = 0.2 L.

Finally, we can calculate the molarity by dividing the number of moles by the volume in liters: (0.263 mol) / (0.2 L) = 1.315 M.

So, the molarity of this solution is 1.315 M.

Consider a venturi with a small hole drilled in the side of the throat. This hole is connected via a tube to a closed reservoir. The purpose of the venturi is to create a vacuumi in the reservoir when the venturi is placed in an airstream. The venturi has a throat-to-inlet area ratio of 0.85. Calculate the maximum vacuum obtainable in the reservoir when the venturi is placed in an airstream of 80 m/s at standard sea level conditions.

Answers

Answer:

ΔP = - 689.92 Pa

Explanation:

This is a fluid mechanics exercise, let's use Bernoulli's equation, where subscript 1 is for the wide part and subscript 2 is for the narrow part

          P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² + ρ g y₂

suppose the venturi tube is level, y₁ = y₂

Now let's use the continuity equation

         A₁ v₁ = A₂ v₂

         v₂ = \(\frac{A_1}{A_2} \ v_1\)

we substitute

         P₁ + ½ ρ v₁² = P₂ + ½ ρ v₁² (\frac{A_1}{A_2} \ v_1 )²

         P₂ = P₁ + ½ ρ v₁² ( \(1 - \frac{A_1}{A_2}\) )

we have assumed that the density of the air does not change,

         ρ (air) = 1,225 kg / m³

         P₁ = P_{atm}

the relation of the entry and restriction area is

         A₂ / A₁ = 0.85

         

Thus

         A₁ / A₂ = 1,176

let's calculate

         P₂ - P₁ =  ½ 1,225 80² (1- 1,176)

         ΔP = - 689.92 Pa

           

The pressure in the reservoir will spread the amount of 689.92 Pa of its initial pressure

A block of wood has A mass of 200g give the mass in kg showing long conversion

Answers

Conversion of mass from grams into kg :

\(1kg = 1000g\)

\(1g = \dfrac{1}{1000} \: kg\)

\(200g = \dfrac{200}{1000} \: kg\)

\(200g = 0.2kg\)

True or False: In circular motion, the centripetal acceleration changes only the direction of velocity, but not its magnitude.

Answers

True. In circular motion, the centripetal acceleration changes only the direction of velocity, but not its magnitude.

Centripetal acceleration is the acceleration directed toward the center of the circular path and is responsible for keeping an object moving in a curved path. It is always perpendicular to the velocity vector of the object at any given point on the path.

The magnitude of the centripetal acceleration, denoted as "a_c," can be calculated using the following formula:

a_c = (v^2) / r

Where:

- v is the magnitude of the velocity of the object

- r is the radius of the circular path

As the object moves along the circular path, its velocity vector constantly changes direction. However, the magnitude of the velocity, represented by "v," remains constant unless acted upon by an external force.

Therefore, the centripetal acceleration only affects the direction of the velocity vector, causing it to continuously change, while the magnitude of the velocity remains constant.

True. In circular motion, the centripetal acceleration changes only the direction of velocity, but not its magnitude.

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Help me please it due today at 11:59 pleasss

Help me please it due today at 11:59 pleasss

Answers

Answer:

see below

Explanation:

1. density = mass / volume

2. kg/mL,  g/cm³

3. volume = mass / density

4. mass = density x volume

5.  

d = m / v

d = 32.9 g / 45.78 mL

d = 0.72 g/mL

6.

vol = m / d

vol = 0.62 g / 120g/cm³

vol = 0.00517 cm³

7.

m = v * d

m = 2.07 g/mL * 60.9 mL

m = 126.063 g

A straight wire, 25 m long, is mounted on an airplane flying at 125 m/s. The wire moves in a perpendicular direction through Earth’s magnetic field (B =5.0X10^-5 T). What EMF is induced in the wire

Answers

The induced EMF in the wire is 0.15625 volts when the wire moves in a perpendicular direction through Earth’s magnetic field.

What is induced electromotive force?

Induced EMF (electromotive force) is a voltage that is produced in a conductor when it is moved through a magnetic field or when there is a change in the magnetic field around the conductor.

The EMF  induced in the wire is given by the equation:

EMF = BLv

where B is the strength of the magnetic field, L is the wire length, and v is the velocity of the wire relative to the magnetic field.

Substituting the given values, we get:

EMF = (5.0 x 10⁻⁵ T) * (25 m) * (125 m/s)

EMF = 0.15625 V

The magnitude of the induced EMF depends on the strength of the magnetic field, the speed at which the conductor is moving, and the angle between the magnetic field and the direction of motion of the conductor. This phenomenon is known as electromagnetic induction.

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PLEASEEE HEPPP!!!!!
Which material would result in the greatest amount of energy transfer?

An absorber that is dark in color and rough.
A reflector that is dark in color and smooth.
An absorber that is light in color and rough.
A reflector that is light in color and smooth.

Answers

Answer:

A. The first option: An absorber that is dark in color and rough.

Explanation:

a material absorbs - or transfers the most thermal energy when it is dark in color and rough in texture.

The material that would result in the greatest amount of energy transfer will be an absorber that is dark in color and rough.

What is an absorber?

A piece of a substance called an absorber is used to absorb a few of the energy of an incoming particle.

Depending on the application, absorbers can be manufactured of a range of materials, including lead, tungsten, and liquid hydrogen.

The majority of absorbers are found in particle detectors, but they are also utilized in particle accelerators to protect their components from radiation damage.

The material that would result in the greatest amount of energy transfer will be an absorber that is dark in color and rough.

Hence option A is correct.

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Please help me pls I beg pls pls pls please please PLEAAAAAAAAASSSSSSEEE

Please help me pls I beg pls pls pls please please PLEAAAAAAAAASSSSSSEEE

Answers

Jackson sells lemonade for $2 per cup. he paid $20 for supplies to sell 5 cups. What is the domain for this scenario

PLEASE I NEED HELP

Best answer gets BRAINLIEST


A 3.23kg book falls off the top of a 3.01 m bookshelf. What is its kinetic energy right before it hits the ground? ( g= −9.81m/s2 )

Show work please

Answers

Answer:

K= 95.4 J

Explanation:

For this exercise we must use the conservation of mechanical energy.

We set a reference system on the floor.

Starting point. Higher

          Em₀ = U = m g h

Final point. Just before taking the floor

           Em_f = K = ½ m v²

energy is conserved because there is no friction

         Em₀ = Em_f

         mg h = K

         

The height is

        h = y -y₀

                 h = 0- y₀

let's calculate

       K =  3.23 (-9.81)  (-3.01)          

       K= 95.4 J

Date: 09/10/2022

What is the equation to finding time using acceleration..

Is it:

T = V - U / A
——————————

Answers

Answer:

yes it's the right answer...............

Consider a frictionless flywheel in the shape of a uniform solid disk of radius 1.7 m. Calculate its mass if it takes 6 kJ of work to spin up the flywheel from rest to 553 rpm.

Answers

The mass of the frictionless flywheel is approximately 418 kg.



To solve for the mass of the flywheel, we need to use the equation for rotational kinetic energy:

KE_rotational = (1/2)Iω^2

where KE_rotational is the rotational kinetic energy, I is the moment of inertia, and ω is the angular velocity.

Since the flywheel is a uniform solid disk, we can use the equation for moment of inertia of a disk:

I = (1/2)mr^2

where m is the mass and r is the radius of the disk.

We are given the radius of the flywheel, which is 1.7 m, and the initial angular velocity, which is 0. We need to find the final angular velocity, which is given in rpm. We first need to convert it to radians per second:

ω_final = (553 rpm) * (2π radians/60 sec) = 57.9 radians/sec

Next, we need to find the change in kinetic energy, which is given as 6 kJ (6000 J). We can set up an equation:

KE_final - KE_initial = 6000 J

(1/2)Iω_final^2 - (1/2)Iω_initial^2 = 6000 J

(1/2)(1/2)mr^2ω_final^2 - 0 = 6000 J

Simplifying and solving for m, we get:

m = (2 * 6000 J) / (ω_final^2 * r^2)

m = (2 * 6000 J) / (57.9^2 * 1.7^2) = 418 kg

Therefore, the mass of the frictionless flywheel is approximately 418 kg.

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when performing the swivel technique, one hand should be placed on the ___ and the other should be placed over and behind the ___.

Answers

When performing the swivel technique, one hand should be placed on the steering wheel, and the other should be placed over and behind the passenger seat.

The swivel technique is a method used by drivers to execute tight turns, typically in situations where there is limited space available or when maneuvering around obstacles.

To execute the swivel technique, the driver positions their hands strategically to facilitate the turning motion. The hand on the steering wheel allows them to control the direction of the vehicle, while the hand behind the passenger seat provides stability and support during the turn.

This positioning enables the driver to rotate the steering wheel smoothly and efficiently, maximizing control over the vehicle's movement.

It's important to note that the swivel technique requires proper coordination and caution to ensure the safety of the driver and any passengers.

Drivers should always adhere to traffic laws, adjust their speed accordingly, and be mindful of their surroundings when performing any driving maneuvers.

Additionally, it's recommended to practice the swivel technique in a controlled environment or under the guidance of a qualified driving instructor to develop proficiency in this driving technique.

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A freight train initially moving at +10m/s decelerates at a rate of -0.1m/s^2. How far does it move in 30 seconds?

Answers

Answer:

255 [m].

Explanation:

1) the formula is (d - requred distance, V₀ - initial velocity, t - elapsed time, a - deceleration):

\(d=V_0t+\frac{at^2}{2};\)

2) according to the formula above the required distance is:

d=10*30-0.5*0.1*900=300-45=255 [m].

Initial velocity=u=10m/sAcceleration=-0.1m/s^2=aTime=t=30s

Distance=s

Apply second equation of kinematics

\(\\ \tt\longmapsto s=ut+\dfrac{1}{2}at^2\)

\(\\ \tt\longmapsto s=10(30)+\dfrac{1}{2}(-0.1)(30)^2\)

\(\\ \tt\longmapsto s=300+(-0.1)(450)\)

\(\\ \tt\longmapsto s=300-45\)

\(\\ \tt\longmapsto s=255m\)

Two 0.967 kg masses are 4.439 m apart on a frictionless table. Each has 16.074 microCoulombs of charge. What is the initial acceleration of each mass if they are released and allowed to move?

Answers

Firstly, we can write the equation for the electric force. It is:

\(F_e=k\frac{q_1q_2}{d^2}\)

By applying our values we get

\(F_e=(9*10^9)\frac{(16.074*10^{-6})*(16.074*10^{-6})}{(4.439)^2}=0.118N\)

Now, if we remind ourselves of Newton's law, we know that

\(\vec{F}=m.\vec{a}\)

We know the mass, and we know the Force, so we can find out the acceleration, this gives us:

\(0.118=0.967*a\)

Thus

\(a=\frac{0.118}{0.967}=0.122\frac{m}{s^2}\)

Our final acceleration is 0.122 m/s^2

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