A car originally traveling at 30.0 m/s manages to brake for 5.0 seconds while traveling 125 m along a road. After those first 5.0 seconds, the brakes fail. After an additional 5.0 seconds it travels an additional 150 m further down the road. What was the magnitude of the acceleration of the car after the brakes failed

Answers

Answer 1

Answer:

The magnitude of the acceleration of the car after the brakes failed is 4 m/s²

Explanation:

The car was originally traveling at 30.0 m/s, that is

The initial velocity, [tex]u[/tex] = 30.0 m/s

The time spent while the car manages to brake is 5.0 seconds, that is

time, [tex]t[/tex] = 5.0 secs

and the distance traveled during this time is

distance, [tex]s[/tex] = 125 m

From one of the equations of kinematics for linear motion,

[tex]s = ut + \frac{1}{2}at^{2} \\[/tex]

Where [tex]a[/tex] is the acceleration

We can determine the deceleration of the car during the first 5.0 seconds

Hence,

From,

[tex]s = ut + \frac{1}{2}at^{2} \\[/tex]

[tex]125 = 30.0(5.0) + \frac{1}{2}(a)(5.0)^{2}[/tex]

[tex]125 =150.0 + 12.5a[/tex]

[tex]12.5a = 125 - 150.0[/tex]

[tex]12.5a = -25\\a = \frac{-25}{12.5}\[/tex]

[tex]a = - 2.0 m/s^{2}[/tex] (Negative sign indicates deceleration)

Now we will calculate the final velocity reached at this time

From,

[tex]v^{2} = u^{2} + 2as[/tex]

Where [tex]v[/tex] is the final velocity

[tex]v^{2} = 30.0^{2} + 2(-2.0)(125)\\v^{2} = 400\\v = \sqrt{400} \\v = 20 m/s \\[/tex]

This is the final velocity reached by the car during the first 5.0 seconds

Now, for the magnitude of the acceleration of the car after the brakes failed,

After the brakes failed,

it travels an additional 150 m further down the road, that is

s = 150m

an additional 5.0 seconds, that is

t = 5.0 seconds

Also, from

[tex]s = ut + \frac{1}{2}at^{2} \\[/tex]

The initial velocity here will be the final velocity for the first 5.0 seconds, that is,

u = 20 m/s

Hence,

[tex]s = ut + \frac{1}{2}at^{2} \\[/tex] becomes

[tex]150 = 20(5.0) + \frac{1}{2}(a)(5.0)^{2}[/tex]

[tex]150 = 100 + 12.5a\\12.5a = 150 - 100\\12.5a = 50\\a = \frac{50}{12.5} \\a = 4m/s^{2}[/tex]

Hence, the magnitude of the acceleration of the car after the brakes failed is 4 m/s²


Related Questions

In the Bohr theory of the hydrogen atom, an electron moves in a circular orbit about a proton, assume the radius of the orbit is 5.29 10-11 m.
A) Find the magnitude of the electric force exerted on each particle.B) If this force causes the centripetal acceleration of the electron, what is the speed of the electron?

Answers

Answer:

Explanation:

Force between two charged particle having charge q₁ and q₂ at distance r

F = k q₁ x q₂ / r²

Putting the values

F = 9 x 10⁹ x 1.6 x 10⁻¹⁹ x 1.6 x 10⁻¹⁹ / 5.29² x 10⁻²²

= .823 x 10⁻⁷

= 823 x 10⁻¹⁰ N

This force will apply on both the charges and will be attractive in nature .

B )

Let speed of electron be v

centripetal force on electron = F

m v² / r = 823 x 10⁻¹⁰

putting the values for electron

9.1 x 10⁻³¹ x v² / 5.29 x 10⁻¹¹ = 823 x 10⁻¹⁰

v² = 478.42 x 10¹⁰

v = 21.87 x 10⁵ m /s

What is the potential difference ΔVAB Δ V A B ? Express your answer with the appropriate units. problem 21.19

Answers

Answer:

30

Explanation:

The unknown vector v satisfies b - v = λ and b x v-c, where λ, b, and c are fixed and known. Find v in terms of λ, b, and c.

Answers

The conditions satisfied by the unknown vector.

change-22^0f to kelvin?​

Answers

Answer:

The formula is kelvin = (tempature in farenheit-32) ÷ 1.8 +273.15

So it will be (-22-32) ÷ 1.8 +273.15= 243.15 kelvin

Answer:

T(K) = (T(°F) + 459.67)× 5/9

answer is 243.15

Bacteria vary somewhat in size, but a diameter of 1.9 m is not unusual.A. What would be the volume (in cubic centimeters) of such a bacterium, assuming that it is spherical?
B. What would be the surface area (in square millimeters) of such a bacterium, assuming that it is spherical?

Answers

Answer:

Volume = 3.6 x 10^-12 cm^3

Area = 1.1 x 10^-5 mm^2

Explanation:

The diameter of the bacteria that is in the shape of spherical = 1.9 m  

Now we have to find the volume of the bacteria. So, use the below formula to find the volume of bacteria.

Volume = (4πr^3) / 3

Volume = (4/3)* π*(1.9*10^-6 / 2)^3  

Volume = 3.6 x 10^-18 m^3  

Volume = 3.6 x 10^-12 cm^3

Now find the surface area.

The surface area = 4πr^2

Area = 4  π  (1.9/2)62  

Area = 1.1 x 106-11 m^2  

Area = 1.1 x 10^-5 mm^2

A metre rule balances when the 50 cm mark is directly above a pivot. State where in the rule its centre of mass is located?

Answers

Answer:

The ruler's center of mass is located on the vertical line defined by the 50 cm mark.

Explanation:

Recall that in order to have equilibrium as that described by this example, the net Torque in the ruler should be zero. which means in our case that the weight due to the right half of the ruler, should equal in absolute value of the weight of the left side of the ruler, thus defining where the ruler's center of mass is.

Since this happens at the mark 50 cm, then the center of mass of the ruler is located somewhere inside the ruler somewhere above where the pivot is located (50 cm mark)

A physics student runs along a line tangent to the edge of a motionless merry-go-round and jumps on at the very outside. The merry-go-round has the shape of a uniform disk.
A) Make an angular momentum chart to help you keep track of what is and is not changing. Consider the two objects, the student and merry-go-round, with the total angular momentum of these two objects conserved. Must the student have angular momentum before jumping on the merry-go-round?
B) Is linear momentum conserved in this interaction if you just consider the merry-go-round and the student?

Answers

Answer:

We know that angular momentum is mvr

So that of the students initially will be

A1= mvr

and the final of the student and the merrygo round will be

A2= (1/2Mr²+mr)omega

So

Angular velocity (omega)= mvr/(1/2Mr²+mr)

This is the final angular velocity of the system so yea the student must have angular momentum before jumping on the merry-go-round

B. Because of directional changes at every edge of the Merry go round that result in changes in velocity, this results in changes in momentum too thus linear momentum is not conserved

In a ballistic pendulum experiment, suppose the digital timer shows 0.02 s for the time of flight of the projectile. The manufacturer information about the precision of the timer is nowhere to be found. What error would you quote on your measurement

Answers

Answer:

The  value is  [tex]\Delta t  =  0.01 \ s[/tex]

Explanation:

From the question we are told that

   The time of flight is  [tex]T  =  0.02 \  s[/tex]

Given that the value of the time of flight is in three decimal place then the error quote is

     [tex]\Delta t  =  0.01 \ s[/tex]

A mass is tied to a spring and begins vibrating periodically the distance between its highest and lowest position is 48cm what is the amplitude of the vibrating?

Answers

Answer 24cm

Explanation:

The amplitude of vibration of the spring is "24 cm"

The periodic vibrating body's motion follows a sinusoidal path. This sinusoidal path is illustrated in the attached picture.

From the picture, it can be clearly seen that the amplitude of the periodic vibration motion is the distance from its mean position to the highest point.

Since the distance of both the highest and the lowest points from the mean position is the same. Therefore, the distance between the lowest and the highest point must be equal to two times the amplitude of the wave.

[tex]Distance\ between\ highest\ and\ lowest\ point = 2(Amplitude)\\\\Amplitude = \frac{Distance\ between\ highest\ and\ lowest\ point}{2}\\\\Amplitude = \frac{48\ cm}{2}\\\\[/tex]

Amplitude = 24 cm

Learn more about the amplitude of the sinusoidal wave (path) here:

https://brainly.com/question/2363891

Which law of motion is this an example of?
Newton's 1st Law of Motion
Newton's 2nd Law of Motion
Newton's 3rd Law of Motion​

Answers

I think it is 2nd law of motion cuz it use mass to push

What mirror diameter gives 0.1 arc second resolution for infrared radiation of wavelength 2 micrometers?

Answers

Answer:

The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

Explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

[tex]resolution=0.25\times\dfrac{wavelength}{diameter}[/tex]

[tex]diameter =0.25\times\dfrac{wavelength}{resolution}[/tex]

Put the value into the formula

[tex]diameter=0.25\times\dfrac{2\times10^{-6}}{0.1}[/tex]

[tex]diameter = 0.000005\ m[/tex]

[tex]diameter = 5\times10^{-6}\ m[/tex]

Hence, The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

Suppose the U.S. national debt is about $15 trillion. If payments were made at the rate of $1,500 per second, how many years would it take to pay off the debt, assuming no interest were charged? Note: Before doing these calculations, try to guess at the answers. You may be very surprised. yr (b) A dollar bill is about 15.5 cm long. How many dollar bills attached end to end would it take to reach the Moon? The Earth-Moon distance is 3.84 108 m. dollar bills

Answers

Answer:

This question has already been answered.

Explanation:

https://brainly.com/question/13542582

(4) A stainless steel storage tank contains 5 kg of carbon dioxide gas and 7 kg of argon gas. How many kmoles are in the tank?

Answers

Answer:

0.2886 Kmoles

Explanation:

Number of moles is calculated by dividing mass of element/molecular mass of element

Mass of Carbon Di oxide = 5000 g or 5 kg

Molecular mass of CO2 = 12 + 16×2 = 44 g

No of moles = 5000/44 = 113.6 moles = 0.1136 Kmoles

Mass of argon = 7Kg or 7000 kg

Molecular mass of Argon(Ar) = 40g

No of moles = 7000/40 = 175 moles = 0.175 Kmoles

Total Kmoles = 0.175+0.1136=0.2886 Kmoles

You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 2.40 m/s2 or travel faster than 18.8 m/s , what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor

Answers

Answer:

   t_total = 23.757 s

Explanation:

This is a kinematics exercise.

Let's start by calculating the distance and has to reach the limit speed of

v = 18.8 m / s

         v = v₀ + a t₁

the elevator starts with zero speed

         v = a t₁

         t₁ = v / a

         t₁ = 18.8 / 2.40

         t₁ = 7.833 s

in this time he runs

         y₁ = v₀ t₁ + ½ a t₁²

         y₁ = ½ a t₁²

         y₁ = ½ 2.40 7.833²

         y₁ = 73.627 m

This is the time and distance traveled until reaching the maximum speed, which will be constant throughout the rest of the trip.

           x_total = x₁ + x₂

           x₂ = x_total - x₁

           x₂ = 373 - 73,627

           x₂ = 299.373 m

this distance travels at constant speed,

           v = x₂ / t₂

           t₂ = x₂ / v

           t₂ = 299.373 / 18.8

           t₂ = 15.92 s

therefore the total travel time is

           t_total = t₁ + t₂

           t_total = 7.833 + 15.92

           t_total = 23.757 s

An athlete completes a round of circular tract with diameter 150 m in 5 min. What is the average speed V of the athlete in m/s? Answer with two decimal places

Answers

Answer:

Explanation:

From the question we are told that

 The diameter is [tex]d = 150 \ m[/tex]

  The time taken is  [tex]t = 5 \ min = 300\ s[/tex]

   

Generally the circumference is mathematically represented as

     [tex]C =  d  *  \pi[/tex]

     [tex]C =  150 *  3.142[/tex]

     [tex]C =  471.3 \  m[/tex]

The average speed is mathematically represented as

      [tex]v  =  \frac{C}{ t}[/tex]

     [tex]v  =  \frac{471.3}{300}[/tex]

    [tex]v =  1.571 \  m/s[/tex]


[tex]11 \times 4[/tex]

Answers

Answer:

44 is right answer

Explanation:

Step 1 :

11+11+11+11+11

step 2:

=22+22

step 3:

=44

hope it helped you:)

Thanks!

11x4=44 just do 1x4 and 1x4 then but them together

the pressure of a gas is 100.0kpa and its volume is 500.0ml if the volume increase to 1000.0ml what is the new pressure of the gas

Answers

50Kpa

Explanation:

P1V1 = P2V2

Where;

P1= 100. P2= ?

V1 = 500. V2 = 1000

100 × 500 = P2 × 1000

50000 = 1000P2

50000/1000 = P2

50 = P2

P2 = 50Kpa

1. A signal source has an open-circuit voltage of 1V, and a short-circuit current of10mA. What is the source resistance

Answers

Answer:

100 Ω

Explanation:

Given that

Open circuit voltage, V = 1 V

Short circuit current, I = 10 mA

Source resistance R, = ?

This is rather a straight forward question. Remember Ohms Law? Current being directly proportional to the voltage and inversely proportional to the resistance?

Yeah, that's the formula we'd be using.

Ohms Law states that V = IR, and thus, if we make R subject of the formula, we have

R = V / I, on substituting the values, we have

R = 1 / 10*10^-3

R = 1 / 0.01

R = 100 Ω

A typical atom has a diameter of about 1.32 x 10-10 m.
A) What is this in inches?
B) How many atoms are there along a 21.0cm line?

Answers

Answer:

A) The value of the diameter in inches is 5.19685 × 10⁻⁹ inches

B)  There are 1,590,909,091 atoms on a 21.0cm line

Explanation:

A) To determine what its diameter is in inches

We will convert 1.32 × 10⁻¹⁰ m to inches

First convert this to centimeters (cm)

1.32 × 10⁻¹⁰m = 1.32 × 10⁻¹⁰ × 10² cm

=  1.32 × 10⁻⁸cm

Now, since 1 inch = 2.54 cm

∴ 1 cm = [tex]\frac{1}{2.54}[/tex] inches

If  1 cm = [tex]\frac{1}{2.54}[/tex] inches

Then 1.32 × 10⁻⁸ cm will be

1.32 × 10⁻⁸ × [tex]\frac{1}{2.54}[/tex] inches

= 5.19685 × 10⁻⁹ inches

This is the value of the diameter in inches

B) For the number of atoms on a 21.0cm line

The diameter of 1 atom is 1.32 × 10⁻¹⁰m

1.32 × 10⁻¹⁰m = 1.32 × 10⁻⁸cm

Hence, on a 21.0 cm line, we will have

(21.0 / 1.32 × 10⁻⁸) atoms

= 1590909091 atoms

Hence, there are 1,590,909,091 atoms on a 21.0cm line

The current through a 0.2-H inductor is i(t) = 10te–5t A. What is the energy stored in the inductor?

Answers

Answer:

E = 10t^2e^-10t Joules

Explanation:

Given that the current through a 0.2-H inductor is i(t) = 10te–5t A.

The energy E stored in the inductor can be expressed as

E = 1/2Ll^2

Substitutes the inductor L and the current I into the formula

E = 1/2 × 0.2 × ( 10te^-5t )^2

E = 0.1 × 100t^2e^-10t

E = 10t^2e^-10t Joules

Therefore, the energy stored in the inductor is 10t^2e^-10t Joules

Consider a metal rod of uniform temperature. Is it possible that heat spontaneously flow from one end of the rod to the other end so that they end up in different temperatures? Why?

Answers

Answer:

No its not possible in that yes heat flow is due to temperature different but with time equilibrium in temperature is reached hence there is no temperature difference at both ends at this time

A sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of 0.700 m2 . At the window, the electric field of the wave has an rms value 0.0400 V/m .
How much energy does this wave carry through the window during a 30.0-s commercial?
Express your answer with the appropriate units.

Answers

Answer:

The  value is  [tex]E =  8.9 *10^{-5} \  J[/tex]

Explanation:

From the question we are told that

   The  area is  [tex]A =  0.700 \  m^2[/tex]

   The  root mean square value  is [tex]E_{rms} =  0.0400 \  V/m[/tex]

   The time taken is [tex]t =  30.0 \  s[/tex]

Generally the energy is mathematically represented as

     [tex]E =  c *  \sepsilon_o *  A  *  t  * E_{rms}^2[/tex]

=>    [tex]E =  3.0*10^{8} *  8.85*10^{-12} *  0.700 *  30 * (0.04)^2[/tex]

=>     [tex]E =  8.9 *10^{-5} \  J[/tex]

     

The work done when a force moves a body through a distance of 15m is 1800j. What is the value of the force applied

Answers

Answer:

120

Work :

W = Fd (work = force x distance)

Force :

F = W/d

Distance :

d = W/F

all digits shown on the measuring device, plus one estimated digit. are consided what

Answers

Answer:

The significant figures in a measurement consist of all the certain digits in that measurement plus one uncertain or estimated digit. In the ruler illustration below, the bottom ruler gave a length with 2 significant figures, while the top ruler gave a length with 3 significant figures.

Explanation:

differences between Constant velocity and constant acceleration

Answers

Answer:

Traveling with a constant velocity means you're going at the same speed in the same direction continuously. If you have a constant velocity, this means you have zero acceleration. ... If you travel with a constant acceleration, your velocity is always changing, but it's changing by a consistent amount each second.

Suppose you are asked to compute the tangent of 5.00 meters. Is this possible? Why or why not?

Answers

Answer:

Generally it is only possible  to compute the tangent of angle in their various unit but because 5 meter is not an angle then it is impossible  to compute the tangent of 5 meters.

Explanation:

What does the law of universal gravitation describe? The motion of the planets around the sun The observation that matter cannot be created or destroyed The observation that all objects that have mass attract each other The amount of force acting on an object being equal to its mass times its acceleration

Answers

Answer: The observation that all objects that have mass attract each other

yes its The observation that all objects that have mass attract each other

Manganese-52 has a half-life of 6 days. How many days would a scientist have to wait for the radioactivity to be 12.5% the starting amount?

Answers

Answer:

Let N = N0 where N0 is the number of atoms originally present.

In 6 days    N = N0 / 2

In 12 days   N = N0 / 4

In 18 days   N = N0 / 8    = .125 N0

So it would take 18 days.

Manganese-52 has a half-life of 6 days. a scientist has to wait 18 days for the radioactivity to be 12.5% of the starting amount

What is radioactivity?

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity. This radiation is released when a nucleus undergoes radioactive decay and transforms into a different isotope that may be radioactive (unstable) or non-radioactive depending on the number of neutrons and protons in the nucleus (stable).

As given in the problem statement Manganese-52 has a half-life of 6 days. this means after 6 days Manganese-52 will reduce to its half value

similarly, after 12 days it further reduces to 50% of the previous value which would be 25 %

Similarly, after 18 days, it will reduce 50% from the previous value which comes out to be 12.5 %

Thus, The half-life of manganese-52 is 6 days. It takes 18 days for the radioactivity to drop to 12.5% of the initial level.

Learn more about radioactivity here

https://brainly.com/question/13950350

#SPJ2

Which of these statements partially defines law?

Answers

Answer: I dont see the option choices

Explanation:

If a space probe moves 20 m in 4 s, how fast is it moving?

Answers

Answer:

Speed =distance/time.

=20/4

=5m/s.

Formula: s = d/t

s = speed

d = distance

t = time

Solve using the values we are given.

s = 20/4

s = 5m/s

best of Luck!

Other Questions
Why would you convert your birth year to binary numbers? If John has drank three drinks per day how many will he have drank in 3 day's? The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,Minutes Calories Burned4020080400120600160800How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box. How many months is a woman pregnant? What is a primary source? Find the remaining trigonometric ratios. tan() = 2, 0 Archeological discoveries showing Harappa civilization was not destroyed by outsiders led to:_____. definition of asymptotic analysis Given directed line segment CD, if point E divides CD three-fourths of the wayfrom C to D. find the coordinates of E. Round to the nearest tenth. 5x2x7x4xEquationX= Solve 7x-3+3x=4(4x-1)-5 can someone please help me The basic unit of ______________ in the metric system is the gram. Group of answer choices length volume density mass A car owner found that her monthly cost of driving her car depends on the number of miles she drives. She calculates that if she drives 320 miles per month, her monthly cost is $270. If she drives 400 miles per month, her monthly cost is $297. Assume that the monthly cost, C, of driving the car is a linear function of the number of miles, d, she drives in a month.The formula for the monthly cost, C, of driving the car as a function of the number of miles, d, she drives in a month, is I have a math question g=mB-2qB and I have to solve for B Alan owes $412.42 on his credit card. He returns two items, one for $48.38 and the other for $49.57. Thenhe makes purchases of $34.10 and $37.06. What is the new balance on the card? Solve the following equation for X... -3x + 12 = 24 20. Rolando drives at least 40 miles but less than 60 miles each week.Part A. Write and then graph the compound inequality representing all of the possible distances Rolando coulddrive for 8 weeks. (7 points) there were 8 lunchboxes on the first table.there were 6 lunchboxes on the second table. how many more lunchboxes were on the first table then on the second table? What is the direction of the magnetic field around a wire carrying a current perpendicularly into this page