A bus is traveling at 25 m/s, and a cyclist is traveling at 5 m/s behind the bus, in the same direction. the frequency of a sound coming from the bus is observed by the cyclist to be 1000 hz. approximately what is the frequency of the sound as perceived by the bus driver
Answer:
Approximately [tex]1061\; {\rm Hz}[/tex] (rounded to the nearest whole number,) assuming that the speed of sound in the air is [tex]330\; {\rm m \cdot s^{-1}}[/tex].
Explanation:
Let [tex]v[/tex] denote the speed of this sound wave: [tex]v = 330\; {\rm m\cdot s^{-1}}[/tex] by assumption.
Let [tex]\Delta v[/tex] denote the speed at which the source (the bus) moves away from the observer (the cyclist.) In this question, [tex]\Delta v = 25\; {\rm m\cdot s^{-1}} - 5\; {\rm m\cdot s^{-1}} = 20\; {\rm m\cdot s^{-1}}[/tex].
Let [tex]d[/tex] denote the distance between the source (the bus) and the observer (the cyclist) when the first crest leaves the source. At a speed of [tex]v[/tex], it would take [tex]d / v[/tex] before the first crest arrive at the observer.
Let [tex]T[/tex] denote the period of this wave. If a crest of this wave leaves the source at [tex]t = 0[/tex], the very next one would leave at [tex]t = T[/tex]. Since the source is moving away from the observer at [tex]\Delta v[/tex], the distance between the two would have since increased from [tex]d[/tex] to [tex](d + \Delta v\times T)[/tex]. At a speed of [tex]v[/tex], this crest would now need [tex](d + \Delta v\times T) / v[/tex] to reach the observer.
In summary:
The first crest leaves the source at [tex]t = 0[/tex] and arrives at the observer at [tex]t = d / v[/tex].The second crest leaves the source at [tex]t = T[/tex] and arrives at the observer at [tex]t = T + (d + \Delta v\times T) / v[/tex].The time difference between the two crests is [tex]T[/tex] at the source. However, at the observer, this difference would have become:
[tex]\begin{aligned} &T + \frac{d + \Delta v\times T}{v} - \frac{d}{v} \\ =\; & T + \frac{\Delta v\times T}{v} \\ =\; & T\times \frac{v + \Delta v}{v}\end{aligned}[/tex].
Therefore, the ratio between the period at the source and at the observer would be:
[tex]\begin{aligned}\frac{T(\text{observer})}{T(\text{source})} &= \frac{\displaystyle T \times \frac{v + \Delta v}{v}}{T} \\ &= \frac{v + \Delta v}{v}\end{aligned}[/tex].
The frequency [tex]f[/tex] of a wave is equal to the reciprocal of its period [tex]T[/tex]. In other words, [tex]f = (1 / T)[/tex]. Therefore:
[tex]\begin{aligned}\frac{f(\text{observer})}{f(\text{source})} &= \frac{T(\text{source})}{T(\text{observer})} \\ &= \frac{v}{v + \Delta v}\end{aligned}[/tex].
Since [tex]f(\text{observer}) = 1000\; {\rm Hz}[/tex], [tex]\Delta v = 20\; {\rm m\cdot s^{-1}}[/tex], and [tex]v = 330\; {\rm m\cdot s^{-1}[/tex] by assumption:
[tex]\begin{aligned} & f(\text{source})\\ =\; & f(\text{observer}) \times \frac{v + \Delta v}{v} \\ =\; & 1000\; {\rm m\cdot s^{-1}} \times \frac{330\; {\rm m\cdot s^{-1}} + 30\; {\rm m\cdot s^{-1}}}{330\; {\rm m\cdot s^{-1}}} \\ \approx\; & 1061\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
How much required force is required to move a 100kg box to get it moving? Static friction is 0.5, kinetic friction is 0.3 and gravity is 9.5m/s^2
Answer:
47.5 N
Explanation:
Given
mass, m = 100 kgcoefficient of static friction, μ(s) = 0.5coefficient of kinetic friction, μ(k) = 0.3gravity due to acceleration, g = 9.5 m/s²Solving
It asks the required force to get it moving ⇒ static frictionForce required to move = μ(s) x m x gF = 0.5 x 100 x 9.5F = 95 x 0.5 = 47.5 NIf we say that a galaxy has a lookback time of 1 billion years, we mean that _________.
Answer:
its light traveled through space for 1 billion years to reach us
Explanation:
the placement of the Sun, the Moon, and Earth in each circumstance is
Answer:
Tides and Water Levels
Explanation:
When the sun, moon, and Earth are in alignment (at the time of the new or full moon), the solar tide has an additive effect on the lunar tide, creating extra-high high tides, and very low, low tides—both commonly called spring tides
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A man standing between two walls fires a gun and hears two echo. if he stands 200m closer to one of the wallsand the time differenve between the two echos is 0.176seconds,detrmine the distance between the walls(sped of sound in air is 340m/s)
Answer:
850m
Explanation:
The answer should be 850m
I apologize if it is incorrect-
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A saddle weighs 250 newtons. The mass of the saddle is __________ kilograms. Use g = 9.8 N/kg for gravity.
Answer:
saddle weighs 250 newtons. The mass of the saddle is ____250/9.8 kg______ kilograms. Use g = 9.8 N/kg for gravity.
The ratio of force and mass is known as
A. Velocity B. Momentum C. Acceleration D. Displacement
Answer:
Acceleration
Explanation:
We know that Force = Mass * Acceleration according to the formula.
Divide both sides by “Mass” which leaves us with Force/Mass = Acceleration, in word, it’s ratio of force and mass equals acceleration.
what is work done constant force
Answer:
W=Fd
This is the equation for it
Which of the following is evidence that electromagnetic radiation can be described by the wave model?(1 point)
Atoms absorb and emit electromagnetic radiation at discrete energy values.
Light from a flashlight spreads out to illuminate a dark room.
Electromagnetic radiation loses energy when it scatters off charged particles.
Light travels from faraway stars to Earth.
Answer:
Light travels from faraway stars to earth.
Answer:
light from a flashlight spreads out to illuminate a dark room
Explanation:
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What is the difference between organic and inorganic material?
Organic materials comes from living things while inorganic materials comes from non living things
Organic materials are those composed mainly of carbon they are derived from living things while inorganic materials are derived from non living things sucjh as rocks etc
a bullet of mass 50gm is moving with the velocity of 720 km / HR calculate the key of bullet
Answer:
1000 j
Explanation:
KE = 1/2 m v^2 where m is in kg and v = m/s
= 1/2 * .050 * (720 *1000/3600 )^2
Why is solar energy a viable alternative energy source
Solar energy is a renewable energy resource that can provide suitable power for the world in general. It is one of the most abundant energy resources on Earth. Amongst the reasons why solar energy is a viable alternative energy are:
Solar Energy as an alternative source of energyIt is a free energy sourceThe sun is the largest source of free energy you can utilize on this planet. It can provide enough power that can supply the world’s electricity needs for a year.
It’s Good for the EnvironmentOne of the primary benefits of utilizing solar energy is that it can provide a clean, green source of power. It is a self-sufficient renewable energy source.
Therefore, solar energy is a viable alternative energy source because it is a renewable source of energy.
Read more on Solar energy:
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Answer:
It has an endless supply
Explanation:
Pearson Connexus 2023.
Unlike a nonrenewable source of energy such as fossil fuels, solar power is a renewable source of energy that will not run out.
Starting in 2009, astronomers have been discovering really cool objects out there (cool here meaning low-temperature, as well as really interesting), which they have called Y dwarfs. What distinguishes these brown dwarfs from others that astronomers have discovered
These brown dwarfs can be distinguished from other star-like objects because they exhibit absorption lines from the ammonia molecule in the spectra.
What are brown dwarfs?Brown dwarfs are star-like (small) objects in the external space that exhibit very low cold temperatures.
Brown dwarfs are not only small stars but also huge gaseous planets such as Saturn and Jupiter.
In consequence, brown dwarfs are a wide category that includes both planets and star-like objects.
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m=3000km v=25m/s what’s the momentum?
Answer:
75000kg m/s
Explanation:
Momentum = Mass X Velocity
p = mv
3000 X 25 = 75000 kg m/s
What holds the moon in place, orbiting around earth?
Answer:
Gravity
Explanation:
In science, a new hypothesis must be (mark all correct answers):
1. falsifiable by experimental testing or observations.
2. completely consistent with all previous laws and theories of science.
3. possible to prove correct.
4. based solely on physical causes.
Answer:
1, 2, and 3.
Explanation:
Hypotheses must be able to be proven false, otherwise it’s a law. It must be consistent with other theories otherwise it’s not true, and it has to be possible to prove correct, otherwise it’s a theory.
The true statement is "Falsifiable by experimental testing or observations." The correct option is 1.
In science, a hypothesis is a proposed explanation or prediction for a phenomenon or set of observations.
A new hypothesis is a fresh idea put forth by a scientist to explain a phenomenon or observation that has not been explained or understood fully by existing scientific theories or hypotheses.
The new hypothesis should be based on previous knowledge and observations, and it should be testable and falsifiable through experiments or observations. Scientists use hypotheses to guide their research and develop theories, which are more comprehensive explanations backed up by multiple lines of evidence.
Therefore, only Option (1) is the correct answer.
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If we want to get an estimate for the average distance from the sun to a planet, how might we go about doing this? (Choose one answer):
1. By measuring the eccentricity of the orbit, which is directly
related to the size of the orbit's ellipse and hence the distance
from the sun.
2. Measure its orbital period (the time it takes to complete a
single orbit) because Kepler's third law allows us to calculate
the orbit's semi-major axis from this.
3. This cannot be done without sending a probe to the planet.
We have done this for some planets already, but not others.
The distance between the sun and a planet can be gotten by measuring its orbital period and applying the Kepler's law.
Kepler's lawsAccording to Keplers third law; the cube of the distance between a planet and the sun is directly proportional to the square of the period of the same planet.
Having said that, we know that we can best measure the distance between the sun and a planet by measuring its orbital period and applying the Kepler's law.
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During which month will the pointer stars of the Big Dipper point directly upward, away from the horizon?
Pls helppp
Answer:
April
Explanation:
what is the gpe of the ball at position a (20-m high)
Answer:
Explanation:
P.E. = mgh = 7.7 * 9.81 * 20 j
You walk to school every day. It is 0.5 miles. After school you walk to Kroger, which is 1.3 miles. You leave Kroger to go all back home, which is 0.8 miles. What is the total distance you have walker today?
What is Newton's Third law of motion? Explain how this roller coaster
demonstrates Newton's Third law of motion.
Answer:
Newton's third law of motion says, "For every action there is an equal and opposite reaction." So that applied to the student's roller coaster, between the marble and the track. When the marble went up and down the hill, it created different forces onto the track.
Explanation:
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A radioactive sample starts with 800,000 undecayed nuclei. After 12 hours, 700,000 of the nuclei have decayed. What is the half-life of the sample?
A. 3 hours
B. 12 hours
C. 6 hours
D. 4 hours
Answer:
100,000 / 800,000 = 1 / 8 amount of sample after 12 hours
(1/2)^n = 1 / 8 after n half-lives 1/8 of sample will be left
n = 3
(D) is the correct answer - 1/2 half-life = 4 hours
Micah, a young adult, reads a diary he kept in high school, laughing at his former self. He wonders how he could
have thought he was so deeply in love that he'd found his soulmate at the age of 13. What part of Micah's brain
has developed since he was 13 to give him this perspective?
Hypothalamus is the region of brain is the control centre of love and also make the limbic system of our body.
What is hypothalamus?The hypothalamus is the region of the brain that makes up the limbic system and is considered as the control centre of love. It gathers the various stimuli felt by the body such as smells, touches, sounds and formed the physical response to the emotions associated with those stimuli.
So we can conclude that hypothalamus is the region of brain is the control centre of love.
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Which list places different units of matter in the correct sequence from smaller to largest
Answer:
D. Protons, atoms, rock particles, bricks, buildings
Explanation:
The correct sequence that shows the units of matter from smaller to largest is option A, protons, atoms, rock particles , bricks and buildings.
What are units of matter ?The basic units of matter is called atoms. These atoms are made of subatomic particles namely, protons, electrons and neutrons. The protons and neutrons are located inside nucleus and the electrons are revolving around.
Every substance in the universe are made of atoms. Atoms of different elements combines to form compounds. Different solid compounds and molecules deposits to forms rocks.
Rocks can be molded to bricks and other shapes they are then used to construct buildings. Therefore, the correct sequence of the units of matter from smallest to largest is protons, atoms, rocks, bricks and buildings.
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Who should be the cert team leader's first concern?
Answer:
to ensure the safety of those in need
Explanation:
whay happen to your eyes when you suddenly exit out of s cinema hall?why?
Answer:
They take a little bit to adjust to the light.
Explanation:
Because being in the dark cinema for so long, out eyes had gotten used to it being that dark while watching the movie. When we leave or go outside from it, it is a lot brighter out and our eyes arent adjusted.
What makes electromagnets more useful that permanent magnets for sorting metals in recycling centers? A. An electromagnet can separate iron from other metals, but a permanent magnet attracts all types of metal. O B. An electromagnet is always "on" but a permanent magnet has to be turned on and off. C. An electromagnet also attracts metals other than iron, but a permanent magnet attracts only iron. D. An electromagnet can be turned on and off, but a permanent magnet is always "on."
Answer:
D
Explanation:
The region around a magnet in which magnetic forces can act is called the
magnetic field.
domain.
pole.
solenoid.
Answer:
magnetic fieldExplanation:
The region around a magnet in which magnetic forces can act is called a magnetic field.
Domain is not related to this topic ⇒ MathematicsPole ⇒ Magnets possess both North and South polesSolenoid ⇒ A iron core around which a wire is usually coiledHow is the duration and intensity of daylight related to the suns apparent path?
Answer:
I dont know but ask a tutor
Explanation:
MOnkey Srry
Hello people ~
If a +ve charge is moved from low to high
potential region, the electric potential energy:
(a) decreases
(b) increases
(c) remain the same
(d) may increase or decrease
Answer:
The answer is increases.
Explanation:
When positive charge is shifted from a low potential to a high potential region, the electric potential energy increases.
Explanation:
Electric potential energy directly depends upon potential region
Charge always flows from higher density to lower density in case of negative and for positive charge it's vice versa
Hence correct choice is option B