Two train cars moving in the same direction are going to be coupled together. The mass of the first car is 5,000 kg and is moving at 5 m/s; the second car weighs the same, but is moving at 1 m/s. How fast will the two coupled cars move and how much kinetic energy does the system lose from coupling the cars together after they collide

Answers

Answer 1

Answer: [tex]3\ m/s,\ 20,00\ J[/tex]

Explanation:

Given

Mass of the first car [tex]m_1=5000\ kg[/tex]

Mass of the second car [tex]m_2=5000\ kg[/tex]

The velocity of the first car is [tex]v_1=5\ m/s[/tex]

The velocity of the second car is [tex]v_2=1\ m/s[/tex]

Conserving momentum, take [tex]v_o[/tex] as the velocity after coupling

[tex]\Rightarrow m_1v_1+m_2v_2=\left( m_1+m_2\right)v_o\\\Rightarrow 5000\times 5+5000\times 1=\left( 10,000\right)v_o\\\\\Rightarrow v_o=\dfrac{25,000+5000}{10,000}\\\\\Rightarrow v_o=\dfrac{30,000}{10,000}\\\Rightarrow v_o=3\ m/s[/tex]

[tex]\text{Initial kinetic Energy }K_1=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2\\\\\Rightarrow K_1=\frac{1}{2}\times 5000\left( 5^2+1^2\right)\\\\\Rightarrow K_1=65,000\ J\\\\\\\text{Final Kinetic Energy}\ K_2=\frac{1}{2}\left(m_1+m_2\right)v_o^2\\\\\Rightarrow K_2=\frac{1}{2}\times 10,000\times 3^2\\\\\Rightarrow K_2=45,000\ J\\\\\text{Kinetic energy lost is equivalent to change in Initial and final energy i.e.}\\\\\Rightarrow K_1-K_2=65,000-45,000\\\\\Rightarrow K_1-K_2=20,000\ J[/tex]


Related Questions

An observer views four identical objects that are traveling at speeds close to
the speed of light. Can their lengths be used to rank the objects according to
their speeds?

Answers

Answer:

D

Explanation:

yes. The shortest object is traveling the fastest.

No,their lengths be used to rank the objects according to their speeds. Because the length of the object is depended on the frame of reference of the observer. Option A is correct.

What is frame of reference?

A frame of reference is a mathematical and physical coordinate system whose origin, direction, and scale are given by a collection of reference points.

Because the length of each item is determined by the observer's frame of reference, If an observer is stationary yet traveling at near light speed, he will feel length contraction.

Otherwise, the length of the items should not alter for everyday pace.A spectator sees four identical objects flying at almost the speed of light.

No,their lengths be used to rank the objects according to their speeds. Because the length of the object is depended on the frame of reference of the observer.

Hence,option A is correct.

To learn more about the frame of reference to refer to the link;

https://brainly.com/question/12222532

#SPJ2

Perhaps the greatest of the Greek astronomers, Hipparchus compiled the first catalog of stars, 49) accurately measured their positions, and defined the basic system of stellar brightnesses which we now call the magnitude system. A particular star in his catalogue has an apparent magnitude of 4 and an absolute -12. Determine the distance to the star.

Answers

Answer:

Explanation:

it would be 3 because ju divide 12 by 4


A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute. Find the angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute

Answers

Given :

A gerbil wheel has a radius of 3.2 inches. The gerbil can spin the wheel at a rate of 35 rotations per minute.

To Find :

The angular speed of the wheel in degrees per minute and the linear speed of wheel in inches per minute.

Solution :

Angular speed is given by :

[tex]\omega = 25\ rpm \\\\\omega = 25\times 360^o \ per \ minute\\\\\omega = 9000^o \ per \ minute[/tex]

Now, velocity is given by :

[tex]v = Radius\times \dfrac{RPM}{60\ sec/min}\times 2\pi\ rad/rev\\\\v = 3.2 \times \dfrac{35}{60}\times 2\pi\\\\v = 11.73\ m/s[/tex]

Hence, this is the required solution.

A heater has resistance of 10 ohms. It operates at 120 volts. a. What is the current through the heater?​

Answers

Answer:

  I = 12 A

Explanation:

For this exercise we use the relationship that voltage is proportional to the product of current and resistance

           V = I R

            I = V / R

             

let's calculate

            I = 120/10

            I = 12 A

A metal with work function 1.17 eV is illuminated with light of wavelength 437 nm. What stopping potential is required for the photoelectrons

Answers

Answer: [tex]1.67\ V[/tex]

Explanation:

Given

Work function [tex]\phi =1.17\ eV[/tex]

The wavelength of the light is [tex]\lambda =437\ nm[/tex]

Energy associated with this wavelength is

[tex]E=\dfrac{hc}{\lambda}\\\\\Rightarrow E=\dfrac{1.99\times 10^{-25}}{437\times 10^{-9}}\\\\\Rightarrow E=4.553\times 10^{-19}\ J\\\\\Rightarrow E=2.841\ eV[/tex]

Stopping potential is

[tex]V=\dfrac{E-\phi }{e}\\\\\Rightarrow V=\dfrac{\left(2.841-1.17\right)e}{e}\\\\\Rightarrow V=1.67\ V[/tex]

Which of the following is NOT a reason why humans sleep?

Sleep helps to restore and repair brain tissue.

Sleep restores and rebuilds memories.

Sleep provides a psychic safety valve to discharge unacceptable feelings.

During sleep, growth hormone is released, especially in children.

Answers

Answer and Explanation:

The answer is the second answer choice. This is because we humans can rebuild or build memories during the day, it doesn't have to happen via sleep.

The first answer choice IS a reason because you aren't working your brain as hard, so your brain has time to heal. A mouse study suggests that sleep helps restore the brain by flushing out toxins that build up during waking hours.

The third answer choice IS a reason because of the idea of Wish Fulfillment: Sigmund Freud suggested that dreams provide a psychic safety valve to discharge unacceptable feelings. The dream's manifest (apparent) content may also have symbolic meanings (latent content) that signify our unacceptable feelings.

The forth answer choice IS a reason because of the idea of Cognitive Development: Some researchers argue that we dream as a part of brain maturation and cognitive development.

#teamtrees #PAW (Plant And Water)


A cell has an emf of 4,5 V.
8.1 What does this statement mean?

Answers

Answer:

it means a cell has 4.5Volt of electromtive force.

One long wire lies along an x axis and carries a current of 39 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 4.4 m, 0), and carries a current of 47 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 0.80 m, 0)

Answers

Answer:

Explanation:

Magnetic field due to a long current carrying wire can be calculated as follows .

B = 10⁻⁷ x 2I / d where B is magnetic field , I is current .

The wire is along x -axis and the point is on y-axis at a distance of 0.8 m

Magnetic field at point of .8 m on y -axis

B₁ = 10⁻⁷ x 2 x 39 / 0.8  

= 97.5 x 10⁻⁷ T .

Second wire is parallel to  z-axis and passes through point on y-axis at a distance of 4.4 m . So the given point is at a distance of 4.4 - .8 = 3.6 m

Magnetic field

B₂ = 10⁻⁷ x 2 x 47 / 3.6  

= 26.11  x 10⁻⁷ T .

Both these magnetic fields are perpendicular to each other so

Resultant magnetic field

B = √ ( 26.11² + 97.5² ) x 10⁻⁷ T

= √( 681.73 + 9506.25 ) x 10⁻⁷ T

= √( 10187.98) x 10⁻⁷ T

= 100.93 x 10⁻⁷ T .

Suppose that the Department of Energy develops a new reversible engine that has a coefficient of performance (COP) of 4.0 when operated as a refrigerator and a COP of 5.0 when operated as a heat pump. What is its thermal efficiency when operated as a heat engine doing work

Answers

Answer:

η = 0.2 = 20%

Explanation:

The relationship between the thermal efficiency of a heat engine and the Coefficient of Performance (COP) of the corresponding Heat Pump is given as follows:

[tex]\eta = \frac{1}{COP_{HP}}[/tex]

where,

η = thermal efficiency = ?

[tex]COP_{HP}[/tex] = Coefficient of Performance of Heat Pump = 5

Therefore,

[tex]\eta = \frac{1}{5} \\\\[/tex]

η = 0.2 = 20%

What is the function of an energy source?

1. Stop the flow of electricity
2.Open and close the circuit
3.Begin the flow of electricity
4.Slow down the electrons

Answers

Im pretty sure its Number 3. Sry if im wrong

In an immersion measurement of an odd-shaped metal object, the weight of the object is found to be 980 N when submerged in water. When it is submerged in a heavier Bromine liquid (density 3100 kg/m3), the object weighs 840 N. What is the volume of this object

Answers

Answer: [tex]0.00680\ m^3[/tex]

Explanation:

Given

The weight of the object, when submerged in the water is [tex]980\ N[/tex]

When it is submerged in the bromine liquid, it weighs [tex]840\ N[/tex]

Suppose,

[tex]\rho=\text{Density of object}\\\rho_w=\text{Density of water}\\\rho_b=\text{Density of bromine}\\V=\text{Volume of the object}[/tex]

for water,

[tex]\Rightarrow V(\rho -\rho_w)g=980\quad \ldots(i)[/tex]

For bromine

[tex]\Rightarrow V(\rho-\rho_b)g=840\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{\rho-1000}{\rho-3100}=\dfrac{980}{840}\\\\\Rightarrow 840\rho -840\times 1000=980\rho-980\times 3100\\\\\Rightarrow 140\rho=(3038-840)\cdot 1000\\\\\Rightarrow \rho=15,700\ kg/m^3[/tex]

Put the density value in equation (i)

[tex]\Rightarrow V(15,700-1000)\cdot 9.8=980\\\\\Rightarrow V=\dfrac{100}{14,700}\\\\\Rightarrow V=0.00680\ m^3[/tex]

A current 2a flows in a circuit fir 2 minutes. Calculate the charge generated in a circuit​

Answers

Answer:

the charge generated in the circuit​ is 240 C.

Explanation:

Given;

current flowing in the circuit, I = 2A

time of current flow, t = 2 minutes = 2 x 60s = 120 s

The current flowing through a given circuit is defined as the quantity of charge flowing through the circuit in a given time.

[tex]I = \frac{Q}{t} \\\\Q = I t[/tex]

where;

Q is the charge flowing in the circuit

Q = 2 x 120

Q = 240 C

Therefore, the charge generated in the circuit​ is 240 C.

Describe the process of how a bill becomes a law in at least 4-5 sentence

Answers

Answer:

Step 1: A Bill Is Born

Anyone may draft a bill; however, only members of Congress can introduce legislation, and, by doing so, become the sponsor(s). The president, a member of the cabinet or the head of a federal agency can also propose legislation, although a member of Congress must introduce it.

Step 2: Committee Action

As soon as a bill is introduced, it is referred to a committee. At this point the bill is examined carefully and its chances for passage are first determined. If the committee does not act on a bill, the bill is effectively "dead."

Step 3: Subcommittee Review

Often, bills are referred to a subcommittee for study and hearings. Hearings provide the opportunity to put on the record the views of the executive branch, experts, other public officials and supporters, and opponents of the legislation.

Step 4: Mark up

When the hearings are completed, the subcommittee may meet to "mark up" the bill; that is, make changes and amendments prior to recommending the bill to the full committee. If a subcommittee votes not to report legislation to the full committee, the bill dies. If the committee votes for the bill, it is sent to the floor.

Step 5: Committee Action to Report a Bill

After receiving a subcommittee's report on a bill the full committee votes on its recommendation to the House or Senate. This procedure is called "ordering a bill reported."

Step 6: Voting

After the debate and the approval of any amendments, the bill is passed or defeated by the members voting.

Step 7: Referral to Other Chamber

When the House or Senate passes a bill, it is referred to the other chamber, where it usually follows the same route through committee and floor action. This chamber may approve the bill as received, reject it, ignore it, or change it.

Step 8: Conference Committee Action

When the actions of the other chamber significantly alter the bill, a conference committee is formed to reconcile the differences between the House and Senate versions. If the conferees are unable to reach agreement, the legislation dies. If agreement is reached, a conference report is prepared describing the committee members' recommendations for changes. Both the House and Senate must approve the conference report

Step 9: Final Action

After both the House and Senate have approved a bill in identical form, it is sent to the president. If the president approves of the legislation, he signs it and it becomes law. Or, if the president takes no action for ten days, while Congress is in session, it automatically becomes law.If the president opposes the bill he can veto it; or if he takes no action after the Congress has adjourned its second session, it is a "pocket veto" and the legislation dies.

Step 10: Overriding a Veto

If the president vetoes a bill, Congress may attempt to "override the veto." If both the Senate and the House pass the bill by a two-thirds majority, the president's veto is overruled and the bill becomes a law.

Explanation:

good luck!

As part of a physics experiment, you carry a bathroom scale calibrated in newtons onto an elevator and stand on it. At rest, you check the scale and it reads 588 N. Then the elevator starts accelerating upward at 2.0 m/s2 and you check the reading again. Now what does the scale show

Answers

Answer: 708 N

Explanation:

Given

At rest, Elevator reads 588 N

When it starts moving upward at [tex]2\ m/s^2[/tex], apparent weight changes

i.e. weight can be given by

[tex]\Rightarrow W'=m(g+a)\\\Rightarrow W'=mg+mg\cdot \dfrac{a}{g}\\\\\Rightarrow W'=W\left(1+\dfrac{a}{g}\right)\\\\\Rightarrow W'=588\left(1+\dfrac{2}{9.8}\right)\\\\\Rightarrow W'=707.99\approx 708\ N[/tex]

The apparent weight is 708 N

A child is holding a wagon from rolling straight back down in a driveway that inclined at 20 degree horizontal. if the wagon weigh 150n with what force must the child pull on the handle if the handle is parallel to the incline?​

Answers

Answer:

F = 51.3°

Explanation:

The component of weight parallel to the inclined plane must be responsible for the rolling back motion of the car. Hence, the force required to be applied by the child must also be equal to that component of weight:

[tex]F = Parallel\ Component\ of\ Weight\ of\ Wagon= WSin\theta\\[/tex]

where,

W = Weight of Wagon = 150 N

θ = Angle of Inclinition = 20°

Therefore,

[tex]F = (150\ N)Sin\ 20^o[/tex]

F = 51.3°

What are three ways a driver can cause a car to accelerate?

A. Turn the key in the ignition while the car is stopped.
B. Turn the steering wheel while the car is moving.
C. Press the gas pedal while the car is stopped.
D. Press the brake pedal while the car is moving.

Answers

if you have to pick 3 answers then B, C, and D but if you pick only 1 answer then pick D

Answer:

B,C,D

Explanation:

Ap3X

3) A 30 kg child slides freely across a "Slip and Slide" on LEVEL GROUND. While the child slides, the force applied to keep them sliding is 0 N. The coefficient of kinetic friction is 0.02. What is the acceleration experienced by the child?

Answers

Answer:

a = 0.1962 m/s^2

Explanation:

The magnitude of kinetic friction exerted is given by

[tex]F_k=\mu_kN[/tex]

Where, μ_k= coefficient of kinetic friction= 0.02 and N = reaction force = mg

Where m= mass = 30 Kg and, g is acceleration due to gravity =9.81 m/s^2

F_k=0.02×30×9.81 =5.886 N

Now, since, there is no applied force this kinetic friction force will cause acceleration of the child

⇒ ma = F_k

here, a is the acceleration

⇒30a = 5.886

⇒ a = 0.1962 m/s^2

A 7.5 cm tall Aragorn action figure is placed 12.4 cm in front of a double convex lens. If the image of Aragorn is located 7.5 from the lens, what is the focal length of the lens?

Answers

Answer:

f = 4.67 cm

Explanation:

Here, we can use the thin lens formula, as follows:

[tex]\frac{1}{f}= \frac{1}{p}+ \frac{1}{q}\\\\[/tex]

where,

f = focal length of lens = ?

p = distance of object from lens = 12.4 cm

q = distance of image from lens = 7.5 cm

Therefore,

[tex]\frac{1}{f} =\frac{1}{12.4\ cm} +\frac{1}{7.5\ cm}\\\\\frac{1}{f} = \frac{1}{4.67\ cm}[/tex]

f = 4.67 cm

Light from a He-Ne laser of wavelength 633 nm passes through a circular aperture. It is observed on a screen 4.0 m behind the aperture. The width of the central maximum is 1.1 cm. What is the diameter of the hole

Answers

Answer:

The diameter of the hole is 5.6164 μm

Explanation:

Given the data in the question;

wavelength λ = 633 nm = 633 × 10⁻⁹ m

L = 4.0 M

width of the central maximum D = 1.1 cm.

Now,

Y = D / 2

Y = 1.1 / 2 = 0.55 cm

So diameter of the aperture will be;

α = 1.22λ / ( Y / L )

we substitute in our values;

α = ( 1.22 × (633 × 10⁻⁹ m)) / ( 0.55 / 4.0 )

α = 0.00000077226 / 0.1375

α = 5.6164 × 10⁻⁶ m

α = ( 5.6164 × 10⁻⁶ × 10⁶ ) μm

α = 5.6164 μm

Therefore, the diameter of the hole is 5.6164 μm

A 400 kg satellite is in a circular orbit at an altitude of 500 km above the Earth's surface. Because of air friction, the satellite eventually falls to the Earth's surface, where it hits the ground with a speed of 1.60 km/s. How much energy was transformed into internal energy by means of air friction

Answers

Answer:

E = 1.45 x 10⁹ J = 1.45 GJ

Explanation:

According to the law of conservation of energy:

Potential Energy Lost by Satellite = Kinetic Energy + Internal Energy

[tex]mgh = \frac{1}{2} mv^2 + E\\\\E = mgh - \frac{1}{2} mv^2[/tex]

where,

E = Internal Energy = ?

m = mass = 400 kg

g = acceleration due to gravity = 9.81 m/s²

h = height = 500 km = 500000 m

v = speed on ground = 1.6 km/s = 1600 m/s

Therefore,

[tex]E = (400\ kg)(9.81\ m/s^2)(500000\ m)-\frac{1}{2} (400\ kg)(1600\ m/s)^2\\E = 1.962\ x\ 10^9\ J - 0.512\ x\ 10^9\ J[/tex]

E = 1.45 x 10⁹ J = 1.45 GJ

If an object is located 20 m to the right of the origin at 1:00PM and later the object is located 30 m to the left of the origin at 2:00PM, then the displacement from 1:00PM to 2:00PM is,

Answers

Answer: 50 m

Explanation:

Given

The object is located 20 m to the right of origin at 1:00 PM and later it moved 30 to the left of the origin.

total displacement from its original place is the subtraction of the two place units i.e.

[tex]\Rightarrow 30-(-20)\\\Rightarrow 30+20=50\ m[/tex]

How strong is the repulsive force exerted on two point charges that each carry 1.0 E-6 C of negative charge and are 0.30 meters apart?
Coulomb's Constant is 9.0 E9 N*m2/C2

Remember to identity all of your data, write the equation, and show your work.

Answers

F = Kq₁q₂/(r)²

K is a constant

R is the distance between them

F = 9.0 E9 × 1.0 E-6 × 1.0 E-6/(0.30)²

= 9.0E-3/0.30² = 9.0E-3/0.09 = 0.1 N

The electrostatic force of repulsion between two charges can be determined using Coulomb's law of electrostatic force. The force of repulsion between the point charges of magnitude 1 ×10 ⁻⁶ C separated by 0.30 m is 0.1 N.

What is Coulomb's law of electrostatic forces?

According Coulomb's law of electrostatic forces, the force between two charges q1 and q2 separated by a distance of r meters is given by the expression:

F =  K q1 q2/r²

Where, K is Coulomb's Constant equal to  9.0 ×10⁹ Nm²/C²

Given q1 = q2 = 1 ×10 ⁻⁶ C

r = 0.30 m

k = 9.0 ×10⁹ Nm²/C².

Then the electrostatic force of repulsion between the two point charges is calculated as follows:

F = 9.0 ×10⁹ Nm²/C² × 1 ×10 ⁻⁶ C × 1 ×10 ⁻⁶ C/ (0.30 m )²

  = 0.1 N.

Therefore, the repulsive force exerted on two point charges that each carry 1.0 E-6 C of negative charge and are 0.30 meters apart is 0.1 N.

Find more on Coulomb's law:

https://brainly.com/question/9261306

#SPJ3

When the palmaris longus muscle in the forearm is flexed, the wrist moves back and forth. If the muscle generates a force of 53.5 N and it is acting with an effective lever arm of 2.25 cm , what is the torque that the muscle produces on the wrist

Answers

Answer:

1.20Nm

Explanation:

Given data

Force= 53.5N

Perpendicular distance= 2.25cm= 2.25/100= 0.0225m

The expression for the torque is given as

Torque= Force* Perpendicular distance

Torque= 53.5*0.0225

Torque= 1.20Nm

Hence the toque produced is  1.20Nm

The diagram shows a toy car on a number line.

A line with arrowheads at both ends has ticks marks every 2 units. The tick marks for 0, 6, and 10 are labeled. A car sits above the tick mark for 2 with a dashed red line leading to the tick mark.
What is the position of the car?

–4
1
2
4

Answers

Answer: c.2

Explanation:

Answer:

The Answer is c. 2

Explanation:

I literally just got done with the quiz


Gold-198 is a radioactive isotope, and it has a half-life of about 2.5 days.
You have 100 grams of Gold-198. How many grams remain after 20 days?

3.125 grams
1.5625 grams
0.78125 grams
0.390625 grams

Answers

Answer: 0.390625 grams

Explanation:

A half-life of an element is the amount of time that it takes for half the mass of the element to decay.

Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.

If there are 20 days, find out how many half-life periods there are:

= 20 / 2.5

= 8 periods

The half life is:

= Original mass * 0.5^number of half-life periods

= 100 * 0.5⁸

= 0.390625 grams

The first law of thermodynamics (which states that energy is conserved) does not specify the direction in which thermodynamic processes in nature can spontaneously occur.

a. True
b. False

Answers

Answer:

a. True

Explanation:

The law of conservation of Energy states that energy cannot be destroyed but can only be converted or transformed from one form to another. Therefore, the sum of the initial kinetic energy and potential energy is equal to the sum of the final kinetic energy and potential energy.

Mathematically, it is given by the formula;

Ki + Ui = Kf + Uf .......equation 1

Where;

Ki and Kf are the initial and final kinetic energy respectively.

Ui and Uf are the initial and final potential energy respectively.

The First Law of Thermodynamics is another way to describe the Law of Conservation of Energy. Typically, the First Law of Thermodynamics states that the change of internal energy of a system is equal to the sum of external work and heat spent on the system.

Mathematically, the First Law of Thermodynamics is given by the formula;

ΔU = Q − W

Where;

ΔU represents the change in internal energy of a system.

Q represents the net heat transfer in and out of the system.

W represents the sum of work (net work) done on or by the system.

Hence, the direction in which any thermodynamic process in nature can spontaneously occur isn't stated by the First Law of Thermodynamics.

Which element would have properties most like helium (He)?

A. Ar
B. Hg
C. H
D. O

Answers

i believe the answer is d

Answer: A. Ar

Explanation: not anything else besides Ar

13. A tow-truck applies a force of 2,000 N on a 2,000 kg car for a period of 3 seconds. What is the magnitude of
the change in the car's momentum?

Answers

Answer:

The Formula is

Change in Momentum = Force * Time

or /\P= F/\t

Plug the numbers into that formula,

P=(2,000N)(3S)

Now Multiply

Your Change in Momentum (Or P) would be 6,000N*s

Please Give Brainliest/5 stars <3

The magnitude of the change in the car's momentum = 6000 N.s

What is change in momentum ?

The rate of change of momentum is equal to impulse . It is the change in the product of mass and velocity of the body or it can be calculated as force times time period for which force is been applied

Change in momentum = impulse(if change occur for few seconds ) = Force * time period

given

Force = 2000 N

mass = 2000 kg

time = 3 seconds

Change in momentum  = 2000 * 3 = 6000 N.s

The magnitude of the change in the car's momentum = 6000 N.s

learn more about Change in momentum  :

https://brainly.com/question/6270239?referrer=searchResults

#SPJ3

The security alarm on a parked car goes off and produces a frequency of 960 Hz. The speed of sound is 343 m/s. As you drive toward this parked car, pass it, and drive away, you observe the frequency to change by 75 Hz. At what speed are you driving

Answers

Answer: [tex]13.4\ m/s[/tex]

Explanation:

Given

The frequency of the source is [tex]f_o=960\ Hz[/tex]

Change in frequency is [tex]75\ Hz[/tex]

Speed of sound [tex]c=343\ m/s[/tex]

Suppose [tex]v[/tex] is the velocity of the observer

Doppler frequency is given by

[tex]f'=f_o\left(\dfrac{c\pm v_o}{c\pm v_s}\right)[/tex]

Here, the source is at rest

While approaching source, frequency is

[tex]f_1=f_o\left(\dfrac{c+v}{c}\right)\quad \ldots(i)[/tex]

While leaving, frequency is

[tex]f_2=f_o\left(\dfrac{c-v}{c}\right)\quad \ldots(ii)[/tex]

The difference in the frequency is

[tex]\Rightarrow f_1-f_2=75\\\\\Rightarrow f_o\left(\dfrac{c+v}{c}\right)-f_o\left(\dfrac{c-v}{c}\right)=75\\\\\Rightarrow f_o\left(\dfrac{2v}{c}\right)=75\\\\\Rightarrow v=\dfrac{75\times 343}{2\times 960}\\\\\Rightarrow v=13.39\approx 13.4\ m/s[/tex]

What is the acceleration of a race car if it has a mass of 1200kg and is moving with an engine force of 400N

Answers

Answer:

0.34 m/s^2

Explanation:

force=mass × acceleration

400 =1200 × acceleration

acceleration=400/1200

=0.34 m/s^2

Other Questions
what is the process of reproduction between human and animals? If a baseball is traveling with a horizontal velocity of 44.3 m/s and is in the air for 3.7 seconds. How far will the baseballtravel horizontally? Find the trig function and simplify if you can A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin Which of the following is not a concern about nuclear energy? put these number least to greatest 4,3,-2,-2.5,-17,2.5,-1,2,-3,-4 In 1981, the United States experienced an oil bust largely due toA. an increase in the price of oil and a decrease in the availability of foreign oilB. a decrease in the price of oil and an excessive amount of domestic oilC. an increase in the price of oil and an increase in the amount of domestic oilD a decrease in the price of oil and a limited supply of foreign and domestic oilIts b (b) Increase 150 by 25% Sort each power into the category where it fits best.recognizing nationsmilitary powersdiplomatic powersexecutive powerssigning legislationgranting pardonsnominating officialsleading the armed forcesmaking treaties 1. In its first three centuries, Russia could be called a multinationalempire for what reason?A) It attempted to simulate European culture.B) It occupied areas of many different ethnicities.C) It was significantly larger than other countries.D) It was an absolutist government ran by the Romanovs. Can somebody help me thank you. can yall folks help a playa out ? please thankyou. Given positive integer n, write a for loop that outputs the even numbers from n down to 0. If n is odd, start with the next lower even number. Hint: Use an if statement and the % operator to detect if n is odd, decrementing n if so. Enter an integer: 7 Sequence: 64 20 (2) If n is negative, output 0, Hint: Use an if statement to check if n is negative. If so, just set n = 0. Enter an integer: -1 Sequence: 0 Show transcribed image text (1) Given positive integer n, write a for loop that outputs the even numbers from n down to 0. If n is odd, start with the next lower even number. Hint: Use an if statement and the % operator to detect if n is odd, decrementing n if so. Enter an integer: 7 Sequence: 64 20 (2) If n is negative, output 0, Hint: Use an if statement to check if n is negative. If so, just set n = 0. Enter an integer: -1 Sequence: 0 Find the area of this figure g(x)=4x^2what would be the table to graph? A student rubs a rubber balloon on their hair for several seconds. The student then rubs a second rubber balloon on her hair for the same length of time. The student determines that the first rubber balloon is repelled by the second rubber balloon, but the first rubber balloon is attracted to her hair. Which of the following claims, with appropriate evidence, if any, supports the notion of the two- charge model? Justify your selection. A. The first rubber balloon is repelled by the second rubber balloon, but the first rubber balloon is attracted to the hair. These results show that two charges must exist because certain combinations of charges attract and certain combinations of charges repel. B. The first rubber balloon is repelled by the second rubber balloon. This result shows that the charge of both objects must have the same sign. C. The first rubber balloon is attracted to the hair. This result shows that the charge of both objects must be opposite in sign. D. None of the claims nor evidence support the notion of the two-charge model. Explain how convection currents drive tectonic plate movement. In your answer, describe the role of energy transfer in the movement of tectonic plates. Which of the following shows the solution to m + 5 > -1? Read the sentence below and answer the question that follows.Each economic sector plays a vital role in a nation's economy.The word underlined in the sentence above is best defined asA decisionB. activityC. dollarD. part Kelly deposits $900 into an account that pays 4.5% interest annually. How much money will Kelly have in the account (to the nearest cent) at the end of 5 years if the interest is compounded semi-annually?