An observer measures a 100 Hz Doppler shift as an ambulance goes by. At rest, the frequency of the ambulance's siren is 2,000 Hz. What is the speed of the ambulance?

Answers

Answer 1

Answer:

8.6 m/s

Explanation:

The observer is stationary

The source is moving

Let v₀ be the speed of sound in the air

Let v be the speed of the ambulance

As the siren approaches

f₁ = 2000(v₀ / (v₀ - v))

As the siren departs

f₁' = 2000(v₀ / (v₀ + v))

                                                                         f₁ - f₁' = 100  

                     2000(v₀ / (v₀ - v)) - 2000(v₀ / (v₀ + v)) = 100

                                           v₀ / (v₀ - v) -  v₀ / (v₀ + v) = 100/2000

v₀(v₀ + v) / (v₀ - v)(v₀ + v) -  v₀(v₀ - v) / (v₀ - v)(v₀ + v) = 0.05

                              (v₀² + vv₀) -  (v₀² - vv₀) / (v₀² - v²) = 0.05

                                                          2vv₀ / (v₀² - v²) = 0.05

                                                                         2vv₀  = 0.05 (v₀² - v²)

                                           0.05v² + 2vv₀ - 0.05v₀² =  0

                                                         v² + 40vv₀ - v₀² = 0

quadratic formula positive answer

v = (-40v₀ + √((40v₀)² - 4(1)(v₀²))) / 2

v = (-40v₀ + √(1604v₀²)) / 2

v = (0.049968v₀) / 2

v = 0.02498439v₀

If we assume the speed of sound in air is 343 m/s

v = 8.56964... = 8.6  m/s

Approaching frequency heard is 2051 Hz

Departing frequency heard is 1951 Hz


Related Questions

Find the acceleration of a body moving with uniform velocity

Answers

Answer:

The derivative of a constant term is always 0. So the acceleration of the body would be zero. Hence, the acceleration of a body moving with uniform velocity will always be zero.

10 m/s 2 the acceleration of moving vehide is What does it mean? ?​

Answers

10m/s^2 acceleration means the vehicle changes its speed from a particular time to 10m/s ahead in 1s

Acceleration:-

The rate of change of velocity is called Acceleration.

SI unit of acceleration is m/s^2

[tex]\boxed{\ulcorner\sf Acceleration=\dfrac{v-u}{t}}[/tex]

v represents final velocity.u represents initial velocity.t denotes to time

An element is highly conductive, highly reactive, soft, and lustrous. The element most likely belongs to which group?(1 point)

transition metals
noble gases
metalloids
alkali metals

Answers

Answer:

Alkali metals

Explanation:

Elements in this group are highly reactive, soft, lustrous and highly conductive.

An element which is highly conductive, highly reactive, soft, and lustrous is most likely an alkali metal.

Alkali metals are in group 1 of the Periodic table which means that they have only a single valence electron.

This causes them to be soft and highly reactive because:

The single valance electron leads to weak bonds amongst the element's atoms which makes them softThe elements want to lose the single valance electron so as to become stable so they will react with other elements to give away the electron.

Examples of alkali electrons include:

Lithium Sodium Potassium etc

In conclusion therefore, alkali metals are highly reactive and soft and so the element described above is most likely an alkali metal.

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A 92.45 kg baseball player slides to a stop at third base. The coefficient of kinetic friction between the player and the ground is
0.68. Her speed at the start of the slide is 6.87 m/s.
(a) Calculate her acceleration during the slide.
(b) How long (in time) does she slide until she stops?

Answers

a) Her acceleration during the slide is -6.67 m/s².

b) She slides 1.03 seconds until she stops.

a) We can find her acceleration during the slide with Newton's second law:

[tex] F = ma [/tex]                        

Where:

F: is the force    

m: is the mass = 92.45 kg

a: is the acceleration =?

The force acting on the baseball player is equal to the friction force ([tex]F_{\mu}[/tex]), and it is negative because it is in the opposite direction to the motion:

[tex] -\mu N = ma [/tex]

[tex] -\mu mg = ma [/tex]

[tex] a = -\mu g [/tex]

Where:

N: is the normal force = mg

μ: is the coefficient of kinetic firction = 0.68

g: is the acceleration due to gravity = 9.81 m/s²

Hence, her acceleration during the slide is:

[tex] a = -0.68*9.81 m/s^{2} = -6.67 m/s^{2} [/tex]

b) We can calculate how long does she slide until she stops with the following kinematic equation:

[tex] v_{f} = v_{0} + at [/tex]

Where:

[tex] v_{f} [/tex]: is the final speed = 0 (when she stops)

[tex] v_{0} [/tex]: is the initial speed = 6.87 m/s

t: is the time =?

Then, the time is:

[tex] t = -\frac{v_{0}}{a} = -\frac{6.87 m/s}{-6.67 m/s^{2}} = 1.03 s [/tex]

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can ya pls answer dis!

Answers

Answer:

Here Is An OverView of What I Know About Science:

To understand what science is, just look around you. What do you see? Perhaps, your hand on the mouse, a computer screen, papers, ballpoint pens, the family cat, the sun shining through the window …. Science is, in one sense, our knowledge of all that — all the stuff that is in the universe: from the tiniest subatomic particles in a single atom of the metal in your computer's circuits, to the nuclear reactions that formed the immense ball of gas that is our sun, to the complex chemical interactions and electrical fluctuations within your own body that allow you to read and understand these words. But just as importantly, science is also a reliable process by which we learn about all that stuff in the universe. However, science is different from many other ways of learning because of the way it is done. Science relies on testing ideas with evidence gathered from the natural world. This website will help you learn more about science as a process of learning about the natural world and access the parts of science that affect your life.

Explanation:

Science helps satisfy the natural curiosity with which we are all born: why is the sky blue, how did the leopard get its spots, what is a solar eclipse? With science, we can answer such questions without resorting to magical explanations. And science can lead to technological advances, as well as helping us learn about enormously important and useful topics, such as our health, the environment, and natural hazards. Without science, the modern world would not be modern at all, and we still have much to learn. Millions of scientists all over the world are working to solve different parts of the puzzle of how the universe works, peering into its nooks and crannies, deploying their microscopes, telescopes, and other tools to unravel its secrets. I Hope This Helps.

the unit of energy is a derived quantity. why​

Answers

Answer:

It was given the name Newton(N). From this ,the derived quantity of energy is defined,as the work produced when the unit of force causes a displacement equal to the unit of length of its point of application along its direction. It was given the name Joule(J).

So, the unit of a energy is a derived quantity.

Calculate the upthrust on a object immersed in water if the object displace water of mass 2 kg.(g=9.8m/s²) ​

Answers

Thrust is force

Mass=2kgAcceleration due to gravity=g=9.8m/s^2

Using Newtons Second law

[tex]\boxed{\sf Force=Mass\times Acceleration}[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow Thrust=2(9.8)[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow Thrust=19.6N[/tex]

We have that the the upthrust on a object immersed in water is

[tex]U=19.6N[/tex]

From the Question we are told that

mass= 2kg

Gravity g=9.8m/s^2

Generally the equation for the upthrust  is mathematically given as

[tex]U=mg[/tex]

Therefore

[tex]U=2*9.8[/tex]

[tex]U=19.6N[/tex]

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I need the answer quick I’ll mark u as brainlist!

Answers

Answer: option c

Because the height is increasing then decreasing

list three types of actions that can contribute to a sustainable world

Answers

- reduce, reuse, recycle
- eat locally
- plant seeds
- donate items
-save water

A piston releases 18 J of heat into its surroundings while expanding from 0.0002 m^3 to 0.0006 m^3 at a constant pressure of 1.0 x 10^5 Pa. What are the correct values for heat and work for the piston?​

Answers

Answer:

value of heat is 18 J

2. step by step

formular w=p(volume1-volume2)

w= 1.0×10^5(0.0006-0.0004)

w= 40 J

What is the centripetal acceleration of a point on the perimeter of a bicycle wheel diameter 70.0 cm when the bike is moving 8.0 m/s? (160 m/s)

Answers

It’s 180 m/s^2 dude. I think I have you in my class lol.

The centripetal acceleration of an object is due to the changing velocity in a circular path and the centripetal acceleration of the bicycle is 182.85 m/s².

What is Centripetal acceleration?

Centripetal acceleration of an object can be defined as the property of the motion of an object which is traversing a circular path. Any object which is moving in a circular path and has an acceleration vector pointed towards the center of that circular path is known as Centripetal acceleration.

The centripetal acceleration of an object can be calculated by the formula:

ac = v²/ r

where, ac = centripetal acceleration,

v = velocity of the object,

r = radius of the circular path

The centripetal acceleration of the object will be:

ac = (8)²/ r

radius = diameter/ 2

radius = 70/ 2

radius = 35cm or 0.35 m

ac = 64/ 0.35

ac = 182.85 m/s²

Therefore, the centripetal acceleration of the bicycle will be 182.85 m/s².

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You walk 100m due north. You then turn and walk 55m due east. You then make another turn and walk 12m due south. What is the resultant vector for your walk?

Answers

Answer:

Explanation:

Important here is to know that due north is a 90 degree angle, due east is a 0 degree angle, and due south is a 270 degree angle. Then we find the x and y components of each part of this journey using the sin and cos of the angles multiplied by each magnitude:

[tex]A_x=100cos90\\A_x=0\\B_x=55cos0\\B_x=55\\C_x=12cos270\\C_x=55[/tex]

Add them all together to get the x component of the resultant vector, V:

[tex]V_x=55[/tex]

Do the same to find the y components of the part of this journey:

[tex]A_y=100sin90\\A_y=100\\B_y=55sin0\\B_y=0\\C_y=12sin270\\C_y=-12[/tex]

Add them together to get the y component of the resultant vector, V:

[tex]V_y=88[/tex]

One thing of import to note is that both of these components are positive, so the resultant angle lies in QI.

We find the final magnitude:

[tex]V_{mag}=\sqrt{55^2+88^2}[/tex] and, rounding to 2 sig dig's as needed:

[tex]V_{mag}=[/tex] 1.0 × 10² m; now for the direction:

[tex]\theta=tan^{-1}(\frac{88}{55})=[/tex] 58°

How Do Manometers Work? steps by steps

Answers

Explanation:

A manometer is a device that measures air pressure using a container with a "U"-shaped tube open at one or both ends. In a closed manometer, a sample of gas is introduced into one end, which is then capped. ... This pressure represents the positive or negative difference between the gas pressure and atmospheric pressure

Answer:

I hope this helps

In the manometer, one end connects to a gas-tight seal to test the pressure source.

2. In addition, the other end of the tube is left open to the atmosphere and it will be subjected to the pressure of approximately 1 atmosphere (atm).

3. Besides, the test pressure is greater than the pressure of 1 atm (atmosphere) the liquid in the column will be forced down by the pressure.

4. Furthermore, it will cause the liquid of the reference column to rise by an equal amount.

If the box of 500N is placed over the land of area of 2m²,what pressure is experted by the box on the land?​

Answers

Answer:

250 Pa or N/m^2

Explanation:

Pressure(P)=F/A=500/2=250 Pa or N/m^2

Ploughing field with harrow pulled by a tractor is a modern technology​

Answers

Ploughing field with harrow pulled by a tractor being a modern technology​ is true.

What is Technology?

This involves the use of scientific knowledge to tackle different life problems and has different sectors.

Ploughing field with harrow pulled by a tractor involves machines and not manual labour which makes it a modern technology.

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help i need to answer this question fast​

Answers

Answer:

The reason you feel weightless is because there is no force pushing against you, since you are not in contact with anything. Gravity is pulling equally on all the particles in your body. This creates a sensation where no forces are acting on you and you feel weightless.

is placing a compass near a wire with live electrical current biology, chemistry, or physics?

Answers

The process of PLACING a compass wherever you want it involves Biology.  Biology deals with everything that has to happen for your brain to send instructions to your muscles, your muscles to operate your arm and your hand, and your hand to move the compass to where you want it, while your eyes keep track of what's happening and send course-corrections through your brain.

Once you get the compass there and see it start doing strange things, those EFFECTS are explained by laws of nature that are covered in Physics.

Placing a compass near a wire with live electrical current involves physics. Because, the deflection in magnetic field by the current from the electrical wire is dealt with physics.

What is magnetic field ?

A magnetic field is generated by the field lines originating from a magnet or an electrical  coil. The moving current is always associated with a magnetic field.

A compass acts as a tiny magnet and it deflects to the north in  the absence of an electrical field. If an electric field is brought in contact with the compass the needle will deflect into the direction of the magnetic field from the wire.

The strength of a magnetic field, associated electric field, magnetic flux etc. are more focused in the branches of physics. The magnetic properties of a substance is a physical property.

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when an apple falls towards the earth the earth moves up to meet the apple. Is it true? If yes, why is the earth motion not noticeable ?

Answers

Answer:

Yes, this is true.

-- While the apple is falling, the same gravitational force acts on both the apple and the Earth.

-- The mass of the apple is somewhere in the neighborhood of 1/4 kg.

-- The mass of the Earth is about 5.972 x 10²⁴ kg.

-- Since the Earth has roughly 2.389 x 10²⁶ times as much mass as the apple has, the apple has roughly 2.389 x 10²⁶ greater acceleration than the Earth has, and moves roughly 2.389 x 10²⁶ times as far down as the Earth moves up, before they smack together.

-- That's why you don't notice the Earth's motion.

-- Also, you're standing on the Earth, moving up with it, toward the apple.  Maybe it would be different if you were sitting on the apple, riding it down to the ground, and you were able to notice the motion of the ground coming up to meet you at a speed that's 0.00000000000000000000000000419 of YOUR speed.  

Answer From Gauth Math

It takes Serina 1.81 hours to drive to school. Her route is 36 km long. What is Serina's average speed on her drive to school?

Answers

Answer:

60

Explanation:

because it shows he is moving at a low speed

Which of the following statements is correct about air temperature? When air temperature is higher, the weather is warmer. Warm air falls to the ground. Freezing air temperatures increase the chances of rain. When air temperature is higher, the weather is colder.

Answers

Answer:

When air temperature is higher, the weather is warmer.

The correct answer is When air temperature is higher, the weather is warmer.

Hope it helps you.. please mark brainliest if it helps you

State the relative position for the sun and earth during the lunar eclipse (ASAP)

Answers

Answer:

Solar eclipses result from the Moon blocking the Sun relative to the Earth; thus Earth, Moon and Sun all lie on a line. Lunar eclipses work the same way in a different order: Moon, Earth and Sun all on a line. In this case the Earth's shadow hides the Moon from view.

Define measurement with 10 points

Answers

Answer:

the process of comparing unknown quantities with known standards quantities are known as measurement

Which element would have the lowest electronegativity? (1 point)

an element with a small number of valence electrons and a large atomic radius

an element with a small number of valence electrons and a small atomic radius

an element with a large number of valence electrons and a small atomic radius

an element with a large number of valence electrons and a large atomic radius

Answers

Answer:

an element with a small number of valence electrons and a large atomic radius

What are the phases of scientific method?

Answers

The scientific method has five basic steps, plus one feedback step:
Make an observation.
Ask a question.
Form a hypothesis, or testable explanation.
Make a prediction based on the hypothesis.
Test the prediction.
Iterate: use the results to make new hypotheses or predictions.

The lever which makes our work easier only by accelerating the rate of work is:

Answers

Answer:

power

Explanation:

it helps to do work without power we cant do any things

The work in a 3rd lever is situated between the load and the pivot. Less effort is required to shift the weight if the pivot is near to it. The weight will travel a longer distance if the pivot is closer to the effort

What is the mechanical advantage?

Mechanical advantage is defined as a measure of the ratio of output force to input force in a system, It is used to analyze the forces in simple machines like levers and pulleys.

Mechanical advantage = output force(load) /input force (effort)

mechanical advantage  = velocity ratio ×Efficiency

A lever that swings around a fixed point is the basic component of a lever. The pivot of a lever is its fixed point. A lever, like other machines, facilitates labor by adjusting the force or the length across which the force is applied to the device.

Thus, we can say that the lever which makes our work easier only by accelerating the rate of work is

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what is the length x of the side of the triangle below

Answers

Answer:

you didn't post any triangles. Thus, the question could not be answered.

Answer:

The given triangle is a right triangle.

The length of the hypotenuse is 2.52.5 units.

The given angle is 39\degree39° .

The unknown side xx is adjacent to the given angle.

We can therefore use the cosine function to find xx .

Recall the mnemonics CAH.

This means that;

\cos\theta=\frac{Adjacent}{Hypotenuse}cosθ=

Hypotenuse

Adjacent

This implies that,

\cos39\degree=\frac{x}{2.5}cos39°=

2.5

x

We multiply both sides by 2.52.5 to get,

2.5\cos39\degree=x2.5cos39°=x

x=2.5(0.7771)x=2.5(0.7771)

We evaluate to get

x=1.94x=1.94

Therefore the length xx of the side of the triangle is 1.91.9 units to the nearest tenth.

displacement is the _quantity​

Answers

Answer:

vector quantity

I hope it's hepl u

when we jump off a boat towards the shore the boat moves back why​

Answers

its not in nurtal or park

Derived quantities depend on...........physical quantity​

Answers

Derived quantities depend on.( fundamental)..........physical quantity

Are you from Nepal?

Answer:

Derived quantities depend on two or more physical quantity.

A 5kg block is pushed 3m at a constant velocity up a vertical wall by a constant force applied at an angle of 37 degree with the horizontal, if the coefficient of kinetic friction between the block and the wall is 0.3. what is the work done by the force on the block?

Answers

The work done by the force on the block is:

[tex]W=135.41*3=406.23 \: J[/tex]

The direction of motion here is in the y-direction, so we need to find the component of the force in this direction.

Using trigonometric functions:

[tex]F_{y}=Fsin(37)[/tex]

This component is in the positive y-direction.

Now, there is a friction force between the block and the wall, so we need to find the friction force.

[tex]F_{f}=\mu N[/tex]

Where:

μ is the coefficient of kinetic frictionN is the normal force (Here N = Fcos(37))

Let's use the first Newton's Law to get F.

F(y) is upward (+) and F(f) and the weight is downward (-).

[tex]F_{y}-F_{f}-W=0[/tex]

[tex]F_{y}-F_{f}=mg[/tex]

Factoring F in the left side:

[tex]F(sin(37)-\mu cos(37))=mg[/tex]    

[tex]F=\frac{mg}{sin(37)-\mu cos(37)}[/tex]  

[tex]F=\frac{5*9.81g}{sin(37)-(0.3*cos(37))}[/tex]  

[tex]F=135.41\: N[/tex]    

Therefore, the work done will be:

[tex]W=Fd[/tex]  

[tex]W=135.41*3=406.23 \: J[/tex]  

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