(a) The frequency of the siren's sound that the fire engine's driver hears reflected from the back of the truck is 2243.9Hz.
(b) The wavelength of the reflected sound waves by the listener is 0.143 m.
We use the principle of Doppler's effect to find the results.
What is the Doppler's effect?The Doppler's effect is a phenomenon when the source of a wave and an observer move relative to each other, the frequency heard is not the same with the actual frequency.
The equation of the Doppler's effect is
f₀ = (v + v₀) fs / (v + vs)
Where
f₀ = observer frequency of soundv = speed of sound waves (340 m/s)v₀ = observer velocityvs = source velocityfs = actual frequency of sound wavesNote:
v₀ (-) if it moves away from the sound source.vs (-) if it moves closer to the observer.There are a truck and a fire engine emitting a siren sound moving in the same direction.
The actual frequency, fs = 2160 Hz.The fire engine velocity (source), vs = 31.0 m/s.The truck velocity (observer), v₀ = 19.0 m/s.Determine the frequency and the wavelength of the sound waves heard by the listener in the front!
We have the truck is in front of the fire engine. So, the sound source moves closer and the observer moves away. Then, frequency of the sound waves heard by the observer is
f₀ = (v - v₀)/(v - vs) × fs
f₀ = (340 - 19.0)/(340 - 31) × 2160
f₀ = (321/309) × 2160
f₀ = 2243.9 Hz
The wavelength of the sound waves heard by the observer is
λ₀ = (v - v₀) / f₀
λ₀ = (340 - 19) / 2243.9
λ₀ = 321 / 2243.9
λ₀ = 0.1430545
λ₀ = 0.143 m
Hence,
(a) The observer frequency of sound is 2243.9Hz.
(b) The wavelength of the reflected sound waves by the observer is 0.143 m.
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An object free falls for 3 seconds. A.) What is the object's acceleration after 3 seconds? B.) What is the object speed after 3 seconds?
During free fall, the motion is under gravity so the acceleration due to gravity is constant at 9.8m/s², and the speed is 29.4 m/s.
Freefall is described as a state of affairs while a frame is shifting handiest underneath the impact of the earth's gravity. in view that outside pressure is appearing at the ball, the motion may be extended. This free-fall acceleration is likewise known as acceleration because of gravity.
A motion under gravity refers to the movement of an object whose vertical movement is stricken by the presence of gravity. The pressure that draws gadgets downwards is GRAVITY. In fact, gravity works closer to the center of the Earth. Newton's regulation of universal gravitation is normally stated as that each particle attracts each other particle in the universe with a force that is proportional to the made from their hundreds and inversely proportional to the square of the gap among their facilities.
For speed:-
V = U + at
= 0 + 9.8 × 3
= 29.4 m/s
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What is the relationship between wavelength and frequency of all waves on the electromagnetic spectrum?.
Using the concepts of electromagnetic waves, we got that wavelength and frequency are inversely proportional to each other for all waves on the electromagnetic spectrum.
Electromagnetic waves are actually referred for the photons of the light.
Wavelength and frequency are inversely proportional to each other: wavelength × frequency = constant. Their product is equal to the velocity (λf = c). This relation is true of all kinds of wave motion, including sound, although for sound the velocity is about a million times less.
Hence, the relationship between wavelength and frequency of all waves on the electromagnetic spectrum is inversely proportional to each other.
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Describe the 2 main steps in protein synthesis, along with the key molecules involved in the process.
The two main steps in protein synthesis , along with the key molecules involved in the process include the following below:
Transcription -DNA is converted to mRNATranslation - mRNA is converted to protein.What is Protein?This is referred to as a biomolecule which contains amino acids and it is necessary for the growth and repair of worn out tissues in the body. They are broken down in the body by enzymes known as protease and are easily denatured by heat and chemicals.
In the process of transcription, the gene is converted into a template molecule called messenger RNA (mRNA) and involves the transfer of genetic materials.
Translation on the other hand involves protein synthesis in the ribosome in which the mRNA is converted into protein thereby making it the correct choice.
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a cube made of platinum (pt) has an edge length of 1.10 cm. the density of pt is 21.45 g/cm3. (a) calculate the number of pt atoms in the cube.
The number of platinum (pt) atoms in the cube is 6.6* 10⁻²² .
Number of atoms in a molecule of given weight can be calculated by dividing the total mass of molecule by mass of single atom .
we have provided the following informations,
length of edge = 1.10 cm
density of platinum (pt) = 21.45 g/cm³
Mass of single platinum (pt) atom
= 3.2×10⁻²² g
For calculating the number of platinum atoms present in cube first we find out the amount of platinum present in grams.
density of atom = mass of atom (grams) / Volume of solution(cm³).
21.45 g/cm³ = mass of pt in grams /1.0cm³
mass of platinum present in grams
=21.45 g
Using the Atomicity, number of atoms present is
21.45 g / 3.2 × 10⁻²²g = 6.6 × 10⁻²²platinum atoms.
Therefore, the number of platinum (pt) atoms is 6.6× 10⁻²² .
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An oven mitten prevents which heat transfer method
Answer:
oven mitt covering your hand (figure 70.27). This is an example of rapid heat transfer by the heating of a solid, the oven mitt.
Explanation:
please give brainliest, really appreciated.
A rally car is at the start line for a race. Marker posts are placed every 20 metres.
The time taken for the rally car to reach the last marker post is 5 seconds.
(a)Calculate the average speed of the car between the first and last marker post. (3)
(b) A spectator decides to calculate the instantaneous speed of the car using the last marker post.
Describe how the instantaneous speed of the race car could be measured as it passes the last marker post.
Your description must include:
• measurements made
• any necessary calculations (3)
After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 322 km/hour in the horizontal direction. answer in numerically in seconds
Answer:
Below
Explanation:
First of all, the horizontal speed is irrelevant to the question...not needed.
The time to hit the ground can be computed by
HEIGHT = 1/2 a t^2 where a = 32.2 ft/s^2 or 9.81 m/s^2
solve this for 't' in seconds
as the HEIGHT was not given in the question, this cannot be answered though you can say t = sqrt ( 2 * height / a )
While skydiving, Dee Selerate opens her parachute and her 45.0-kg body immediately accelerates upward for an instant at 8.14 m/s/s. Determine the upward force experienced by Dee during this instant.
The upward force experienced by Dee during the instance is 366.3 N
How do I determine the upward force?According to Newton's law, we understood that force, mass and acceleration are related by the following formula:
Force (F) = mass (m) × acceleration (a)
F = ma
With the above formula, we can determine the upward force experienced by Dee. Details below.
From the question given above, the following data were obtained:
Mass (m) = 45.0 KgAcceleration (a) = 8.14 m/s/sUpword force (F) =?Force = mass × acceleration
Upword force = 45 × 8.14
Upword force = 366.3 N
Thus, the upword force is 366.3 N
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The temperature of water in a beaker is 25 celcius. After adding a piece of magnesium to the water, the temperature increases to 28 celcius. Is this an exothermic or endothermic.
Answer:
exothermic
Explanation:
What are 5 examples of implied powers?.
Declaring war, levying taxes, regulating commerce, minting money, and controlling immigration are five instances of implied powers.
Political authority provided to the United States government that isn't expressly defined in the Constitution is known as implied power. Due to precedents established by other authorities, it is assumed that these will be given. Any particular governmental body can't operate without these implicit capabilities.Examining whether the Necessary and Proper Clause included a power to create a national bank from Congress's authority to levy and collect taxes, borrow money, regulate trade, declare and carry out wars, and build and sustain armies and navies.There is no explicit mention of implied powers in the Constitution. They stem from Congress's authority to enact any laws that are "necessary and proper" to execute its specified powers. This line, which is part of Article I, Section 8, is sometimes referred to as the elastic clause since it extends Congress's power.Thus these are the five examples of implied powers.
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37.9kg skydiver leaps out of plane what is force that skydiver pull up on earth with
The force that the skydiver pull up on the earth with a mass of 37.9 kg is 371.42 N.
What is force?Force can be defined as the product of mass and acceleration.
The force that the skydiver pull up on the earth with is the same as its weight. To calculate the weight of the skydiver, we use the formula below.
Formula:
W = mg........ Equation 1Where:
W = Weight of the skydiverm = Mass of the skydiverg = Acceleration due to gravityFrom the question,
Given:
m = 37.9 kgg = 9.8 m/s²Substitute these values into equation 1
W = 37.9×9.8W = 371.42 N.Hence, the force that the skydiver pull up on the earth is 371.42 N.
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a small 175-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter 1.0 m. the ball makes 2.0 revolutions every 1.0 s. find the tension in the string. hint: find acceleration needed to keep ball in a circle.
Tension in the string is F = 2.415 N
Acceleration needed to keep the ball in a circle is α = 13.803 m/s²
It is given that:
mass of the ball, m = 175g = 0.175Kg
The radius of the circle, r = diameter/2 = 0.5m
The ball makes 2.0 revolutions every 1.0 s. So, angular speed is
ω = 4π radian/sec
Since, it is moving in circular path so centripetal acceleration will act here.
So, centripetal acceleration α = mω²r
α = 0.175Kg × ( 4π )² × 0.5
So, α = 13.803 m/s²
Hence, the acceleration is 13.803 m/s² and it is directed toward the center of rotation.
Tension is a force that is given by: F = ma
F = 0.175Kg × 13.803 m/s²
F = 2.415 N
Friction is a force, the resistance of motion when one object rubs against any other. On every occasion objects rub towards every different, they purpose friction. Friction works against the movement and acts on the contrary direction.
Friction can slow matters down and forestall stationary things from shifting. In a frictionless global, more objects would be sliding about, clothes and shoes would be difficult to preserve and it might be very tough for human beings or motors to get transferring or exchange routes.
Contact forces are the kind of forces that perform between objects which are in physical touch with each other.
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A dog weighing 18 kg runs into a park at a velocity of. 63 m/s. What is the momentum of the dog?.
1134 kgm/s is the momentum of the dog weighing 18 kg runs into a park at a velocity of 63 m/s.
Formula to calculate momentum:
M = mv,
Where: M = Momentum
m = Mass
v = Velocity
let given,
mass m = 18 kg
velocity v = 63 m/s
substitute the values in above equation
Momentum, M = (18×63)
Momentum, M = 1134 kgm/s
Hence, the momentum of the dog is 1134 kgm/s.
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How does the energy production in a high-mass, main-sequence star differ from energy production in the sun?.
High mass stars produce energy at a faster rate and use carbon in a process that fuses hydrogen to helium.
What is energy ?
Energy, in physics the ability to do work. It can exist in electrical, kinetic, thermal, electrical, chemical, nuclear, or various other forms. There is also heat and work. H. Energy in transfer from one object to another. After transmission, energy is always referred to according to its nature. Thus, the heat transferred can become thermal energy, while the work done can appear as mechanical energy. All forms of energy are associated with movement. For example, any object has kinetic energy when it is in motion. A taut device such as a bow or spring can create motion even when stationary. Because of its composition, it contains potential energy. Similarly, nuclear energy is potential energy as it results from the composition of subatomic particles within the nucleus.
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What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off?.
The minimum height of the loop without falling it off is 2.7(R-r).
What is height?
height is the measurement of someone or something .
Sol-It is given that capital art Israelis of loop. The loop. Small M. Is the mass of the marble. Small art is radius of the marble. We have to find minimum height edge. The track must have for the marble to make it around the loop. The loop without falling off coming to the solution. We have art is radius of solid marvel. Capital art is radius of circular, loop. Track moment of inertia of this is all in I is equal to two divided by five M. R squared. Thank you lad velocity of the marvel is equal. Do your makeup when the slides down the incline plane and regis the top of the loo. Let this be equation to and let this be equation three gain in potential energy related to center of mass is equal to mg. Multiplied by to capital R minus smaller. Let this be equation four. From law of conservation. Oh Nrg we have Equation one is equal to equation too plus equation three plus equation four substituting we have M G multiplied by H plus R is equal to half M V squared plus half I omega squared plus MG multiplied by two R -R. M G multiplied by H plus R. Is equal to half M B squared plus half. Multiplied by two divided by five M R squared. Omega square plus MG.
Hold square plus M G. Multiplied by two R minus R divide M G. On both sides we have H. Plus art Is equal to seven divided by 10, multiplied by R -R. Plus to r minus R. H plus odd as it will do 2.7 R -1.7 are therefore H is equal. Do 2.7 multiplied by R -R. Hence it can be concluded that height of the track. H is equal to 2.7 multiplied by R -R.
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why does matter falling toward a white dwarf, neutron star, or black hole in a binary system form an accretion disk?
because the in falling matter has some angular momentum that is why matter falling towards a white dwarf, neutron star, or black hole in a binary system form an accretion disk.
The mass falls toward the central body, causing conservation of angular momentum to enhance the orbital speed. As a result, a rotating disc is created by the falling materials.
what is Angular momentum?
Angular momentum is any rotating object's characteristic determined by moment of inertia times angular velocity. It is a characteristic of rotating bodies determined by the sum of their moment of inertia and angular velocity.
The mass, motion, and distance of an object's mass from the centre of rotation all affect angular momentum, also known as spin.
Therefore, because the in falling matter has some angular momentum that is why matter falling towards a white dwarf, neutron star, or black hole in a binary system form an accretion disk.
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two stars, a and b, have the same size (10rsun). if star a is main sequence star, and star b is a giant, how do their temperatures compare?
If 2 stars, a & b is the same size, and star a is main sequence star, and starsb is a giant, then in term of temperatures star a is hotter than star b.
Main sequnce stars including sun, lie along a diagonal the band in the H-R Diagram. They have temperature characteristic from 3,000 to >50,000K.
Meanwhile the giant stars, they are brighter than main sequence stars but with the same effective temperatures.
Therefore, from the characteristic of main sequence stars, the comparation of temperatures is star a is hotter than star b.
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An object of mass 20kg was dropped from the top of a building of height 200m
Calculate:
a)what time does it take the object to fall freely the a distance of 120m
b)The velocity of the object at the distance
c)With what velocity will the object strike the ground?(g=10m/s²)
The time it takes the object to fall freely at a distance of 120m is 7.75 sec.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Calculation:-
mass = 20 kg
height = 200 m
new height = 120
S = ut +1/2at²
120 = 0 + 0.5× 10 t²
t² = 120/5
= 60
= 7.75 sec
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
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state which color of visible light (red, green, violet, orange, blue, or yellow) would change direction the most when traveling from water to air?
The shorter the wavelength of light, the greater the refraction. As a result, red light refracts the least and violet light refracts the most, spreading the colored light across the spectrum.
What is Dispersion of Light?Dispersion, the phenomenon in which the phase velocity of a wave depends on its frequency. The term "chromatic dispersion" is sometimes used specifically for optical systems. When white light passes through a glass prism, it is broken down into a spectrum of colors (in the order violet, indigo, blue, green, yellow, orange, red) and this process of splitting white light into individual colors takes place is called dispersion.
When light hits a water droplet, it refracts at the boundary between air and water and enters the water droplet, where it scatters into seven colors. The rainbow effect occurs because light reflects inside the droplets and is eventually refracted back into the air.
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9. what happens to the internal pressure in a fluid flowing in a horizontal pipe when its speed increases? when its speed decreases?
The pressure decreases when the speed increases then internal pressure in a fluid flowing in a horizontal pipe its speed decreases The pressure increases when the speed decreases.
What is Pressure?
The physical force used to apply pressure on an object is defined as such. Per square inch of an item, a force is delivered perpendicularly to its surface. For pressure, the fundamental formula is F/A. (Force per unit area). The Pascal is the unit of pressure (Pa). The four different types of pressure are absolute, atmospheric, differential, and gauge pressure.'Pressure' is the term used to describe the thrust (force) applied to a surface per unit area. The ratio of force to area is another way to describe it (over which the force is acting).The layer of gases that surrounds the earth's atmosphere creates a pressure that is known as "atmospheric pressure."However, 101325 Pa is what it is at sea level.
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Calculate the temperature increase ΔT in a 1.40 kg sample of water that results from the conversion of 19% of the gravitational potential energy directly to heat energy in the world's tallest waterfall, the 807-m ‑tall Salto Angel in Canaima National Park, Venezuela.
The temperature increase is 0.24°C.
Solution:
Gravitational potential energy = mgh
= 1.4*9.8*807 = 11072.04 J
19% of PE = heat energy
0.19*11072 = mcΔ
1439.3652 = 1.4*4186*Δ
Δ = 0.24° C
so the temperature increase is 0.24°C.
Gravitational potential energy is converted to thermal energy at the fire point. When an object high above the ground heats a surface or other object, it produces thermal energy through friction and vibration. When an object falls from a great height, gravitational potential energy is converted into kinetic energy.
When you hit something and stop falling, all the kinetic energy is converted into heat. When the light is turned on, potential energy travels through the wires and is converted into light and heat, which are forms of kinetic energy. The gravitational potential energy at large distances is directly proportional to mass and inversely proportional to the distance between them. The gravitational potential energy increases with the increase.
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Why is the solar system important for the universe?
Answer:
Why is it important to explore our solar system? Space exploration allows us to prove or disprove scientific theories developed on Earth. Studying the solar system for example has brought us insights into such phenomena as gravity the magnetosphere the atmosphere fluid dynamics and the geological evolution of other planets.
a car is traveling at 82 km/h when the driver sees an accident 55 m ahead and slams on the brakes. what minimum constant deceleration is required to stop the car in time to avoid a pileup?
The Deceleration required by the to avoid the pileup is 4.71m/s².
The car is travelling with a speed of 82 km/h. The driver starts to apply breaks at a distance of 55 m.
The minimum deceleration required to make the car stop to avoid a pileup is given by,
a = u²/2s
u is the initial velocity,
a is the negative acceleration,
s is the displacement of the car,
The speed is 82 km/h, converting it, the speed is 22.77m/s.
Putting values,
a = 22.77 x 22.77/2 x 55
a = 4.71m/s².
The negative acceleration or the deceleration required is 4.71m/s².
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Ashanti picks up a book and lifts it a height of 0.8 m onto a shelf. The book gains 4.7 J of gravitational potential energy as a result. Calculate the mass of the book. The gravitational field strength on Earth is 9.8 N/kg.
The mass of Ashanti's book is 1.6kg if the book gains 4.7 J of gravitational potential energy.
What is mass?The term mass refers to the quantity of matter that makes up something or someone. Additionally, mass can be thought of as the resistance an item has to changes in velocity and, consequently, changes in acceleration, as acceleration is the rate at which velocity changes.
Since it takes effort to lift objects out of the gravitational pull of the Earth, gravitational energy is the potential energy associated with gravitational force. Water in an elevated reservoir or kept behind a dam serves as evidence for gravitational potential energy, which is caused by elevated positions.
The formula for potential energy
PEg=mgh
PEg=4.7J
g=9.8N/kg
h=0.8m
m=?
4.7=m×9.8×0.8
4.7=7.84m
m=7.8/4.7=1.6
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You are running late to school and need to go 1,500 m in 10 minutes. What speed will you travel?.
The required average speed to reach the school will be 2.5 meters per second.
According to the question,
School is still 1500m away and it starts in 10 minutes. We need to determine at what average speed you need to travel to reach the school on time.
What is speed?
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that particular object.
Here it is given,
Distance = 1500m
Time = 10 minutes or 10×60(seconds) = 600 seconds
Speed = distance/time
Speed = 1500/600
Speed = 2.5 meters per second
Thus, the average speed needed to reach the school at a distance of 1500m in 10 minutes will be 2.5 meters per second.
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a solenoid and bar magnet are shown. suppose the bar magnet was moving to the right, away from the solenoid, at a constant velocity. what direction would you expect the induced magnetic field to be in? expressing your answer using points a and b labeled below, what direction should the induced current flow in the solenoid to produce this induced magnetic field?
According to Lenz's law direction of the induced current is in such a way that it opposes the change in magnetic flux. So the direction of the induced magnetic field will be along the axis of the solenoid and towards the magnet. and the direction of the induced current will be clockwise.
As the bar magnet moves relative to the solenoid the solenoid's magnetic field changes. Therefore, a current is induced in the magnetic coil, which induces a magnetic field. The induced current is counterclockwise when viewed from the direction of the increasing magnetic field.
The direction of the field can be determined by the right grip rule. For a single long straight wire, the direction of the electric field is given by placing the right thumb in the direction of the current and bending the fingers in the direction of the electric field. As the bar magnet moves freely, it oscillates until one end moves toward the Earth's North Pole and the other toward the Earth's South Pole.
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calculate the average power a car engine needs to bring a car of 2100 kg from rest to a highway speed of 65.0 mi/h in 13.0 s.
The average power a car engine needs to bring a car of 2100 kg from rest to a highway speed of 65.0 mi/h in 13.0 s is 136.79 KW
W = F d cos θ
F = m a
a = v / t
v = Velocity
t = Time
m = Mass
a = Acceleration
W = Work done
F = Force
d = Distance
θ = Angle between force and displacement vector
v = 65 mi / h = 29.1 m / s
t = 13 s
m = 2100 kg
a = 29.1 / 13
a = 2.24 m / s²
F = 2100 * 2.24
F = 4700.77 N
W = F v t
W = 4700.77 * 29.1 * 13
W = 1778.3 KJ
P = W / t
P = Power
P = 1778.3 / 13
P = 136.79 KW
Therefore, the average power of the car engine is 136.79 KW
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according to the special theory of relativity, while traveling at very high speed your own pulse rate that you measure group of answer choices remains unchanged. decreases. increases.
According to the special theory of relativity, while traveling at very high speed your own pulse rate that you measure will increases.
What is time dilation of special theory of relativity?The time interval between two events is not constant from one observer to the next, but instead depends on the relative speeds of the observers' reference frames (e.g. the twin paradox is a situation in which one twin departs in a spacecraft at nearly light speed and returns to find that the other twin has aged significantly more. The paradox is that at constant speed, we are unable to tell which twin is travelling and which twin is not.)
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a heavy ball with a weight of 120 n is hung from the ceiling of a lecture hall on a 4.8-m-long rope. the ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.1 m/s as it passes through the lowest point.
Tension of the rope is 183.75 N.
What is the tension of the rope in a pendulum?In medium lengths, tension exerts its force, especially in flexible materials like rope or cable. The force of tension is still a gravitational force. The tension will be referred to as the T = W + ma if the body is traveling upward. The thickness remains constant as the body descends, T = W - ma.
The total Tension on the rope at this point=
Sum of the weight of the ball + the centripetal force on the ball
T= W+ mv^2/r
Where T is tension, W is weight of the ball, m is mass of the ball, r is radius of rotation, v is the velocity of rotation. g= acceleration due to gravity
W= 120N
m= W/g= 120/9.8 = 12.24kg
v= 5m/s
r= 4.8m
Therefore,
T= 120 + 12.24×5^2/4.8
T= 120 + 63.75
T= 183.75N
complete question :
a heavy ball with a weight of 120 n is hung from the ceiling of a lecture hall on a 4.8-m-long rope. the ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.1 m/s as it passes through the lowest point. What is the tension in the rope at that point?
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Sarah is working on physics equations and ends up needing to find the value of
5(4 −8) + 7 −2(-8 + 5)
What value should Sarah get?
Sarah will get - 7 after solving this equation
BODMAS is a rule to explain order of operations in calculations. BODMAS stands for Brackets, Order, Division, Multiplication, Addition, Subtraction. '
5(4 −8) + 7 −2(-8 + 5)
5(-4) + 7 - 2(-3)
-20 + 7 + 6 = -7
Sarah will get - 7 after solving this
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