You're driving down the road at 30 m/s when you see an ambulance approaching you from behind. If you measure the peak frequency of its siren to be 320 Hz when it's behind you and 300 Hz after it's passed you, how fast is the ambulance driving? Assume the speed of sound in air to be 340 m/s

Answers

Answer 1

Answer:

39.45 m/s

Explanation:

This phenomenon is known as Doppler Effect, and it occurs when there is a source of a wave in motion with respect to an observer. In such situation, the frequency of the wave as perceived by the observer is shifted with respect to the real frequency.

In particular:

- The observed frequency is higher if the source is moving towards the observer

- The observed frequency is lower if the source is moving away from the observer

The formula to calculate the apparent frequency in the Doppler Effect is:

[tex]f'=\frac{v \pm v_o}{v\pm v_s}f[/tex]

where

f is the real frequency

f' is the observed frequency

v is the speed of the wave

[tex]v_s[/tex] is the velocity of the source, which is positive if the source is moving away, negative if it is moving towards the observer

[tex]v_o[/tex] is the velocity of the observer, which is negative if the observer is moving away, positive if it is moving towards the source

In this problem:

v = 340 m/s is the speed of sound

- When the ambulance is approaching you from behind,

f' = 320 Hz

[tex]v_o=-30 m/s[/tex] (car is moving away from ambulance)

So

[tex]320 = \frac{340-30}{340 -v_s}f[/tex] (1)

- When the ambulance overcomes you and moves away from you,

f' = 300 Hz

[tex]v_o=+30 m/s[/tex] (car is moving towards ambulance)

So

[tex]300 = \frac{340+30}{340 +v_s}f[/tex] (2)

Re-arranging both equations (1) and (2),

1)

[tex]320 = \frac{310}{340 -v_s}f\\320(340-v_s)=310f\\108,800-320v_s = 310 f[/tex]

2)

[tex]300 = \frac{370}{340 +v_s}f\\300(340+v_s)=370f\\102,000+300v_s = 370f[/tex]

Both equations can be rewritten as

[tex]f=\frac{108,000-320v_s}{310}\\f=\frac{102,000+300v_s}{370}[/tex]

And by equating them we find:

[tex]\frac{108,000-320v_s}{310}=\frac{102,000+300v_s}{370}\\37(10,800-32v_s)=31(10,200+30v_s)\\399,600-1184v_s=316,200+930v_s\\83,400=2114v_s\\v_s=\frac{83400}{2114}=39.45 m/s[/tex]


Related Questions

the normal formula to find force is F = m* a. What kind of math do you need to do
to find the mass of an object?

Answers

To find the Mass of an object, you need to apply division.
Since Resultant Force = Mass X Acceleration

To find mass,
Mass = Force / Acceleration

Final answer:

The mass of an object can be found by rearranging the force equation F = ma to m = F/a and dividing the force by the acceleration. This requires basic algebraic manipulation. Using the units of newtons (N) for force and meters per second squared (m/s²) for acceleration will yield the mass in kilograms (kg).

Explanation:

To find the mass of an object using Newton's second law of motion, you would rearrange the typical force equation F = ma to solve for m. This rearranged formula becomes m = F/a. This mathematical operation requires basic algebra to isolate the variable m (mass). For example, if you know the force acting on an object and its acceleration, you just need to divide the force by the acceleration to obtain the mass. For instance, consider an object where a force of 22 Newtons causes an acceleration of 2.00 m/s², to calculate the mass you would simply perform the calculation m = F/a which becomes m = 22 N / 2.00 m/s² leading to m = 11 kg. It's important to use units of newtons for force, meters per second squared for acceleration, and the result will be in kilograms for mass.

When applying this to real-world problems, like determining the force on a wagon or calculating the normal force on an object, the process is the same. For forces in equilibrium, such as an object at rest on a surface, the normal force is often equal to the weight of the object, which can be calculated using F = mg, where g is the acceleration due to gravity.

The ray diagram shows a candle that is placed between
the focal point and the mirror.
Which best describes the image that will be produced
compared with the object?
It will be smaller and upright.
It will be smaller and inverted,
It will be larger and upright.
It will be larger and inverted,
Fy
Object

Answers

Answer:

C Large and UPright

Explanation:

have fun

Answer:

it is C

large and upright

Explanation:

i got it right

Electromagnetic waves do require a medium to travel.

True
False

Answers

Answer:

The Answer is false

Explanation:

Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate. This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

Answer:

false

Explanation:

In western states, many homes generate electricity from windmills. in a particular home, a young boy is using electricity to run a toy electric train. name 2 transformations.

Answers

Answer: He could be using batteries or it is rechargeable

During which type of change can an atom of carbon become an atom of nitrogen?
A. Chemical
B. Physical
C. Nuclear
D. Phase

Answers

Answer:

C.) Nuclear

Explanation:

Answer:

it's C

Explanation:

For light waves, the frequency determines the color we see. The highest frequencies of light are at the _______end of the visible spectrum; the lowest frequencies appear at the ______ end of this spectrum. *

4 points

green, yellow

blue, red

yellow, green

red, blue

Answers

Answer: Blue, Red

Explanation:

The highest frequencies of light are at the Blue end of the visible spectrum. The blue end of the visible have short wavelengths.

While the lowest frequencies of light can be found in the Red end of the visible spectrum . They are known to have long wavelengths.

What property of a wave determines its pitch?
A.
the medium
B.
the amplitude
C.
the rarefaction
D.
the frequency

Answers

i’m pretty sure it’s D.the frequency

The color of ink is a what change or property.

Answers

Answer:

Property

Explanation:

Physical properties are used to observe and describe an object like  color, texture, and odor.

Answer:

Physical change ?

Explanation:

List at least five examples of minerals and their common uses.

Answers

Answer:

Beryllium

Beryllium is an alkaline metallic element that is highly toxic. It is known for its sugary sweet taste and some of its common uses are in X-rays and fluorescent lights.

Beryllium : A very thorough and technical site about this mineral.

Chromite

Chromite is the ore of chromium and is a very hard metal, and diamond is the only thing harder. This hardness is what allows a chrome finish to take a high polish.

Chromite : This site talks about its history and characteristics.

Cobalt

Cobalt is famous for the incredible blue color it imparts to glass and pigment. It has been found in meteorites and is used in invisible ink. It is a brittle metal and resembles iron.

Cobalt : This site has photos, video, charts and physical and atomic descriptions.

Columbite-tantalite

Columbite-tantalite group is a mineral used widely in technology. Electronics, automotive systems and health products like the pacemaker need this mineral to operate. It is mined in Africa and has earned the name of Coltan over the last few years.

Columbite-tantalite : Information about its role in the world under the name 'Coltan'.

Copper

Copper is a common metal throughout the world. It is used for currency, jewelry, plumbing and to conduct electricity. It is a soft, orange-red metal.

Copper : This site talks about its properties, uses and makeup.

Explanation:

Hope that helps :)

Kinetic Energy - What does it depend on?
The greater the ______________ of a moving object, the _____________________ it has.
Help!

Answers

Answer:

faster; more kinetic energy

Explanation:

Plzz I need answer in 1 mint

Answers

Answer:

The answer is A i think :)

On a bus traveling north at 20.0m/s, a child stands up and walks towards the back of
the bus at 1.3m/s. What is the child's resultant velocity?

Answers

Final answer:

The child's resultant velocity is 21.3 m/s.

Explanation:

The resultant velocity of the child can be determined by subtracting the child's velocity from the velocity of the bus. In this case, the child is walking towards the back of the bus, so their velocity is negative. Therefore, the resultant velocity of the child is:



20.0 m/s - (-1.3 m/s) = 21.3 m/s, which means the child is moving faster than the bus in the same direction.

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Compared to visible light, the wavelength of X-rays is and the frequency is .

Answers

Answer:

Shorter and higher

Explanation:

I did this lesson and i got it right :D hope it helps

Compared to visible light, the wavelength of X-rays is smaller and the frequency is  greater.

What is electromagnetic spectrum?

The electromagnetic spectrum consists of waves arranged based on the increasing frequency of the waves or decreasing wavelength of the waves.

Electromagnetic spectrum based on decreasing frequency and increasing wavelength;

Gamma raysX-raysUltraviolet rayVisible lightInfra redMicro waveRadio waves

Thus, compared to visible light, the wavelength of X-rays is smaller and the frequency is  greater.

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Elephants can communicate using very low frequency sound waves over long distances. An elephant makes a noise below human hearing at 16Hz. This low rumble moves at 350 m/s (speed of sound in air). This sound is detected by her friend 25 seconds later.
How far away is her friend?

Answers

Answer:

8750 m

Explanation:

S= v x t

S= 350 x 25

S= 8750 m

The elephant's friend is 8750 meters away.

The subject of this question is Physics, specifically related to sound waves and their travel. The question involves an elephant communicating with infrasound at 16 Hz and determining the distance between it and the receiver of the sound by using the speed of sound in air. To answer how far away her friend is, you would use the equation of distance traveled by the wave, which is the product of the wave's speed and the time it took to reach the receiver.

Distance = Speed of Sound × Time
Distance = 350 m/s × 25 s
Distance = 8750 m

Can someone help me with these net force diagrams?

Answers

Answer:

its like game controlls the 1st doesnt move  R  L R R R R it matters on the arrows pay attention to the directions take the arrows away then put them back to see what u get 1 at a time its newtons third law

Explanation:

water with pressure of 190 kPa flows down hill through a pipe with a 3.90 cm diameter hose at a speed of 1.2 m/s. It then exits through a smaller pipe m of diameter 1.50 cm which is 5.00 m below the upper pipe.

a. What is the speed of the water exiting at the lower pipe opening?

b. What is the water pressure at the exit of the lower pipe. ?

Answers

Answer:

a)    v₂ = 8,112 m / s , b)   P₂ = 206.8 10³ Pa

Explanation:

This is a fluid mechanics exercise, let's use index 1 for thick pipe and index 2 for thinner pipe

 

a) with the continuity equation it allows to find the speed of the water  

          v₁ A₁ = v₂ A₂

the area of ​​a circle is

          A₁ = π r₁² = π d₁² / 4

         v₂ = v₁ d₁² / d₂²

let's calculate

         v₂ = 1.2 3.90² / 1.50²

         v₂ = 8,112 m / s

b) We use Bernoulli's equation

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

          P2 = P1 + ½ ρ (v₁² - v₂²) +ρ g (y₁ -y₂)

           

let's calculate

         P₂ = 190 10³ + ½ 1000 (1.2² - 8.112²) + 1000 9.8 5

         P₂ = 206.8 10³ Pa

A ray in air hits the surface of water at 41.0 deg. At what angle does it travel in the water?

(Unit=deg)

Answers

Answer:

r = 29.53 degrees

Explanation:

Given that,

Angle of incidence, [tex]i=41^{\circ}[/tex]

We need to find the angle at which it will travel in the water. The refractive index of water is 1.33 and refractive index of air is 1. Using Snell's law as :

[tex]n_1\sin i=n_2\sin r[/tex]

r is the angle of refraction

[tex]\sin r=\dfrac{n_1}{n_2}\sin i\\\\\sin r=\dfrac{1}{1.33}\times \sin (41) \\\\r=\sin^{-1}(0.493)\\\\r=29.53^{\circ}[/tex]

So, the ray will travel at an angle of 29.53 degrees in the water.

Answer:

29.53

Explanation:

right on acellus

Help me, it’s for physical science

Answers

Answer:

dropping a marble from the roof

Explanation:

this represents gravitational force which is infact a non-contact force

ANSWER: drop marble from roof

Which circuit has the least/weakest current? *

9V Battery
1.5V AA Battery

Answers

9 V Battery has the least current than 1.5 V AA Battery.

Explanation:

A standard 9 V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".

Normal AA/AAA batteries that have a voltage rating of 1.5 V can supply constant 50 mA current for a total capacity of 1800-2600 mAh.

Therefore 9 V Battery which have current around 400-600 mAh capacity has the least current than 1.5 V AA Battery which have 1800-2600 mAh capacity.

Which of the following sources is likely to provide the most reliable scientific
information about a new kind of motor oil?
O
A. A news article that explains how the motor oil is designed
O
B. The website of the company that sells the motor oil
O
c. A newspaper ad for the motor oil
O
D. A peer-reviewed article about the effectiveness of the motor oil

Answers

b; the website of the company that sells the motor oil

A peer-reviewed article about the effectiveness of the motor oil is most likely to provide the most reliable scientific information about a new kind of motor oil. So, option D.

What is meant by motor oil ?

Motor oil is a lubricant used in the moving parts of a engines, vehicles and other machines.

Engines have moving parts that rub against one another, wasting heat instead of kinetic energy that would otherwise be beneficial. Furthermore, it degrades those components, which can cause the engine to run less efficiently and become less reliable.

In addition to extending the life of engines, proper lubrication reduces fuel use and wasted power.

In order to prevent direct contact between surfaces of adjacent moving parts, lubricating oil forms a separating layer between them. This minimizes frictional heat generation and wear, safeguarding the engine. When in use, motor oil conducts heat as it moves through the engine. This heat is transported through airflow over the external surface of the oil pan, airflow through an oil cooler, and through oil gases expelled by the positive crankcase ventilation (PCV) system in an engine with a recirculating oil pump.

Peer-reviewed journals and books are regarded as the most dependable sources and are frequently a great resource for finding reliable and scientific content.

Hence,

A peer-reviewed article about the effectiveness of the motor oil is most likely to provide the most reliable scientific information about a new kind of motor oil.

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which electromagnetic waves have the highest energy?
A) gamma rays
B) light waves
C) radio waves
D) X-rays

Answers

Answer:

Gamma ways

Explanation:

The shortest wavelengths,AND the highest frequencies

Lorenzo di Medici was:
A. a composer of Italian madrigals.
B. a music publisher.
C. a pope.
D. a patron of the arts.

Answers

The answer is a patron of the arts.

Additional information:

The name of the father of lorenzo di medici is Piero the Goutus and the name of mother is Lucrezia Tornabuoni.

He died at the age of 43. He was buried in the medici chapel in florence.

Hope this will help u...:)

Answer:

it's D

Explanation:

How fast is wave moving if its wavelength is 3m and its frequency is 6 Hz?

Answers

The speed of the wave is 18[tex]\frac{m}{s}[/tex].

Explanation:

Given : FREQUENCY (F) = 6Hz

             WAVELENGTH(λ) = 3m

If a wave has frequency, f, of 6 Hz, its period, T, is [tex]\frac{1}{6}[/tex]  s. The wavelength,  λ , is 3 meters. That means that in the time of one period, the wave travels 3 m.

That means that in the time of one period, the wave travels 3 m.

In General ,

speed =[tex]\frac{distance}{time}[/tex]

In applying this general definition of speed↑to a wave, we have

                  speed of the wave=wavelength period

Note: we generally use v for speed of a wave. Using the variable names, then that last formula is written

v=λ ×T

so  speed of the wave = 3× 6 =18[tex]\frac{m}{s}[/tex]

the chart below compares the characteristics of four objects discovered in the solar system. which of these objects is most likely to be a planet?

Answers

The object discovered in the solar system that has been most likely to be a planet has been object A.

What is a planet?

A planet is an object present in the solar system with the ability to revolve around a star. It has been considered a celestial body, with the presence of a specified force of gravity.

As Kepler's laws of planetary motion suggest that the orbits are elliptical with the sun at a focus. So it is not necessary that the orbit is circular or the shape is circular. Also, it is necessary that the orbit is around the sun.

Of the objects discovered in the solar system, object A has been revolving around the sun that starts with the circular orbit and has been found to be present in Kepler's belt as well. Thus, object A has been most likely to be a planet.

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A ball rolls horizontally off a bookshelf of height 1.7 m with a speed of 2 m/s

How long does it take the ball to reach the ground?

O A. 1.25

O B. 0.595

OC. 0.85

O D. 0.33 s

Answers

Answer:

0.59s

Explanation:

A p e x

A ball rolls horizontally off a bookshelf at a height of 1.7 m with a speed of 2 m/s then it takes 0.59 seconds. Hence, option B is correct.

What is acceleration?

Acceleration is the rate at which the direction and speed of motion evolve over time. Anything was shown to be accelerated when it goes straighter and faster or slower. Motion on a circle therefore accelerates even though the speed is constant, so because direction is always changing. All those other types of movement experience an acceleration as a result of these factors.

It is a vector quantity because acceleration includes both a magnitude and a direction. The other vector quantity is velocity.

Use the equation of motion,

s = ut + 1/2 at²

1.7 = 2 (t) +1/2(-9.8)t²

t = 0.59 seconds.

Therefore, the time will be equal to 0.59 seconds. So option B is the correct one.

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Which of the following is an example in which kinetic energy is converted to potential energy?
O A. A rock falls down a cliff.
OB. A match burns.
OC. A spring is stretched.
OD. A light bulb glows brightly.

Answers

Answer:

C. A spring is stretched.

Explanation:

Kinetic energy is the energy of motion, potential energy is stored energy. The motion of stretching the spring is kinetic, the energy it has before it's released is potential.

Final answer:

When a spring is stretched, it stores potential energy.

Explanation:

The correct answer is C. A spring is stretched. This is an example of kinetic energy being converted to potential energy because when a spring is stretched, it stores potential energy. Kinetic energy refers to the energy of an object due to its motion, while potential energy is the energy that an object possesses due to its position or state.

In this example, when a spring is compressed or stretched, work is done to change its shape. As a result, potential energy is stored in the spring. When the spring is released, the potential energy is converted back into kinetic energy as the spring returns to its original shape and moves.

This conversion between kinetic energy and potential energy is a fundamental concept in physics and can be observed in various everyday examples such as stretched springs, raised objects, or compressed gas.

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Light travels faster through water (n = 1.33) than it does through glass
(n = 1.5).
O
A. True
O
B. False

Answers

Answer:

true

Explanation:

A. True

What is refractive Index?

Refractive Index is  calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density.

The equation is n=c/v.

In water, the refractive index is 1.3 and in glass, it is 1.5.

Therefore,

Light travels faster through water, than it travels through glass.

As the refractive index of the medium increases, the speed of light in the medium decreases.

The refractive index of glass is higher than air, so the speed of light will be slower in glass and faster in air.

Some charged particles can move faster than in water and therefore travel faster than light.

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Which description best explains why the view within the rectangle lens is different than the view outside the lens?


Light waves are restricted to a single plane through the lens.

Light waves disperse in multiple directions through the lens

Light waves disperse in various planes through the lens.

Light waves refract in multiple directions through the lens.

Answers

Answer:

A) Light waves are restricted to a single plane through the lens.

Explanation:

Took the quiz and got it right

Final answer:

The view inside a lens differs from the outside because light waves refract in multiple directions within the lens, a process essential for lenses to form images by bending light.

Explanation:

The view within the rectangle lens is different than the view outside the lens because light waves refract in multiple directions through the lens. When light waves enter the lens, they experience refraction both when they enter and exit the lens medium. The concept of refraction is inherently three-dimensional and is based on the principle that when light passes through variations in matter, its direction changes due to the different speeds at which light travels in different media. This bending of light is essential for lenses to redirect light and form images, whether they are magnified, shrunk, or inverted.

Lenses like the eye's crystalline lens or a microscope's glass lens use refraction to form images by bending light towards or away from the line perpendicular to the boundary surface. The thin lens approximation simplifies this process by considering the double refraction through the lens as a single change in path occurring at the plane of the lens. An example of this principle in action would be rays of light entering a diverging lens and appearing to originate from its focal point due to their diverging paths.

A scientist is studying an organelle that is controlling the amount and types of substances that are moving in and out of a cell. She is observing the _________________________

Answers

Answer:

Plasma membrane

Explanation:

A scientist is studying an organelle that is controlling the amount and types of substances that are moving in and out of a cell. She is observing the cell membrane.

What is a cell membrane?

The cell membrane, also known as the plasma membrane, is found in all cells and serves to isolate the cell's interior from its exterior environment.

The cell membrane is made up of a semipermeable lipid bilayer. The cell membrane handles the transmission of materials into and out of the cell.

The cell membrane, also known as the plasma membrane, is the outer covering of a living cell that completely covers the cytoplasm as well as nucleus.

Glycerophospholipids, molecules constituted of glycerol, a phosphate group, or rather two fatty acid chains, make up cellular membranes, including plasma membranes and internal membranes.

Glycerol is a three-carbon molecule that serves as the membrane lipids' backbone.

Thus, the scientist is observing the plasma membrane as it aids in the transport of material in and out of the cell.

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How is photon energy calculated? (choose 2)
o Using Plank's constant.
o It cannot be calculated.
o Using the frequency.

Answers

Answer:

Explanation:

Based on the wave model of light, physicists predicted that increasing light amplitude would increase the kinetic energy of emitted photoelectrons, while increasing the frequency would increase measured current.

Contrary to the predictions, experiments showed that increasing the light frequency increased the kinetic energy of the photoelectrons, and increasing the light amplitude increased the current.

Based on these findings, Einstein proposed that light behaved like a stream of particles called photons with an energy of \text{E}=h\nuE=hνstart text, E, end text, equals, h, \nu.

The work function, \PhiΦ\Phi, is the minimum amount of energy required to induce photoemission of electrons from a metal surface, and the value of \PhiΦ\Phi depends on the metal.

The energy of the incident photon must be equal to the sum of the metal's work function and the photoelectron kinetic energy:

Using plank’s constant
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