Answer:
Since heat is carried by electromagnetic waves, it does not need a physical medium to transfer it. Instead it radiates through space - this is how the Earth is heated by the Sun despite space being a vacuum.
Explanation:
A person on a daily diet of 2,500 calories should get no_more than
calories from fat each day.
Answer:
35%
Explanation:
Answer:
its 83
Explanation:
Calculate the velocity of the 2.0 kg mass just before it hits the
rocks when it is dropped from a height of 16 m above the surface
of the rocks. Give the unit.
Velocity:........
Unit: .......
The velocity of the 2.0 kg mass just before it hits the rocks when it is dropped from a height of 16 m above the surface of the rocks will be 17.738 m/s in downward direction
given
u = 0
m= mass = 2 kg
height = 16 m
v = ?
using kinematics equation
-s = ut - 1/2* g * \(t^{2}\)
t = \(\sqrt{2s/g}\)
time = \(\sqrt{(2*16) / 9.8}\)
= \(\sqrt{3.27}\)
= 1.81 seconds
v = u - gt
v = -g t = -9.8 * 1.81 = -17.738 m/s
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a 0.2kg ball is bounced against a wall. it hits the wall at a right angle with a speed of 20m/s and rebounds elastically. what is the magnitude of the change in the momentum of the ball
The magnitude of the change in momentum of the ball is 8 kg m/s.
The change in momentum of the ball can be calculated using the equation
Δp = 2mv,
where Δp is the change in momentum, m is the mass of the ball, and v is the velocity of the ball.
In this case, the ball has a mass of 0.2kg and a velocity of 20m/s.
Since the ball rebounds elastically, its velocity changes sign after hitting the wall, so the change in velocity is 40m/s. Plugging in these values to the equation,
we get Δp = 2(0.2kg)(40m/s) = 8 kg m/s.
The magnitude of the change in momentum of the ball is 8 kg m/s, which means that the ball's momentum changes by 8 kg m/s after bouncing off the wall at a right angle with a speed of 20m/s.
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I should limit the number of carbohydrates leat, as often as possible, to avoid gaining weight. * 2 True O False
Answer:
I THINK it's True
Explanation:
Because...
you can get fat...
assuming the acceleration and displacement times are the same, determine the natural frequency of the structure. discuss how you found the result.
The value of k can be found by solving the equation above for k, and substituting the values of m, dx(0)/dt, and F_applied into the expression for the natural frequency to find the value of ω. So, displacement k = \((2mdx(0)/dt)/(x(0)^2) - (F_a*dt^2)/m^2\)
The natural frequency of the structure, we need to solve the equation of motion for small oscillations about the equilibrium position. We can assume that the acceleration and displacement times are the same and use the small-angle approximation to simplify the calculations.
Motion for the structure is:
\(m*d^2x/dt^2 = k*x\)
\(mw^2 = kA^2\)
a = (F_applied)/m
dx/dt = a*dt
dx/dt = (F_applied)/m*dt
dt gives:
\(d(dx/dt)/dt = (F_a)/m\\d^2(dx/dt)/dt^2 = F_a/m^2\)
\(d^2(dx/dt)/dt^2 = (F_a)/m^2*dt^2\\d^3(dx/dt)/dt^3 = (F_a*dt^2)/m^2\)
k = \((2mdx(0)/dt)/(x(0)^2) - (F_a*dt^2)/m^2\)
Therefore, the value of k can be found by solving the equation above for k, and substituting the values of m, dx(0)/dt, and F_applied into the expression for the natural frequency to find the value of ω.
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Correct Question:
Assuming the acceleration and displacement times are the same, determine the natural frequency of the structure. discuss how you found the result.
What factor affects the speed of the motion of a roller coaster the most?A.massB.heightC,Size of the wheels D.Spring constant
Height
Option B is correct
Explanation:The roller coaster is a railway with a large height and steep inclines that is basically found in the amusement park for carrying a train of people for a fun ride.
The speed of the roller coaster is determined by a number of factors such as the energy input, drag force, temperature, mass, etc.
The height at which the roller coaster is released when launched determines greatly the speed of the motion of the roller coaster
HELP PLEASE! DUE TONIGHT! If the wind speed in the top figure increased, what would happen to the plane’s ground speed?
Answer: Flying into the wind provides more lift, but reduces the plane's “ground speed”, the speed of the plane relative to the ground hope this helps
how is charged particles related to electric current, electric circuits, and resistance
Charged particles are fundamental to the behavior of electric currents, electric circuits, and resistance. An electric current is the flow of charged particles, typically electrons, through a conductor.
The flow of charged particles generates an electric field that induces a potential difference, or voltage, across the conductor.Electric circuits are constructed by connecting conductors and electrical components, such as resistors, capacitors, and inductors, in a specific configuration. The arrangement of the components determines how the current flows through the circuit.
The flow of current through the circuit depends on the resistance offered by the components in the circuit and the potential difference across the circuit.Resistance is the property of a conductor that opposes the flow of current. The resistance of a conductor is proportional to the number of charged particles in the conductor, the length of the conductor, and the cross-sectional area of the conductor. The resistance can also be affected by the temperature of the conductor and its material properties.
In summary, charged particles are responsible for generating electric currents that flow through electrical circuits. The behavior of the currents is determined by the arrangement of the components in the circuit and the resistance offered by the conductors and components. Resistance is a fundamental property of a conductor that opposes the flow of charged particles and can be affected by various factors.
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Which of the following is produced as a result of photosynthesis
A. Water
B. Heat
C. Oxygen
D. Carbon dioxide
Answer:
The actual answer would be c, oxygen.
Explanation:
Plants need the energy glucose provides in order to grow and reproduce. Glucose is also required for the process of cellular respiration, in which plants convert carbon dioxide from the air into oxygen.
What is the far point in m of a person whose eyes have a relaxed power of 53. 6 d? (assume a lens-to-retina distance of 2. 00 cm. )
According to the relaxed power, the far point in meter unit is 0.28 meters.
We need to know about the relaxed power of the eye to solve this problem. Relaxed power can be defined as the ability of the optical device to see. It can be represented by a dioptre unit. The relaxed power formula is
P = 1/di + 1/do
where P is power of the eye, di is distance between eye lens and image and do is distance between eye lens and image.
From question above, the given parameters are
P = 53.6 d
di = 2 cm = 0.02 m
By substituting the given parameters, we can calculate the far point
P = 1/di + 1/do
53.6 = 1/0.02 + 1/do
1/do = 53.6 - 50
1/do = 3.6
do = 1/3.6
do = 0.28 m
Hence, the far point in meter unit is 0.28 meters.
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Newton's 3rd Law of Motion
For every__________ (or force), there is an ____________ and __________ action (or force).
Answer:
Explanation:
For every action (or force), there is an equal and opposite action (or force).
An object is thrown off a cliff with a horizontal speed of 10 m/sec and some unknown initial vertical velocity. After 3 seconds the object hits the ground which is 30 meters below the cliff. Find the initial vertical velocity and the total horizontal distance traveled by the object.
a. What do you know?
b. What do you need to solve for?
c. What equation(s) will you use?
d. What is the solution to this problem?
The answers to the questions of the object thrown off a cliff with a horizontal speed of 10 m/s and that reach the ground which is 30 m below after 3 seconds, are:
a. We know:
The height of the cliff = 30 mThe time for the object to reach the ground = 3 sThe initial horizontal velocity = 10 m/sb. We need to find the initial vertical velocity and the total horizontal distance traveled.
c. To calculate the initial vertical velocity and the total horizontal distance traveled by the object, we need to use the following equations:
\( y_{f} = y_{i} + v_{i_{y}}t - \frac{1}{2}gt^{2} \) (1)
\( v_{i_{x}} = \frac{x}{t} \) (2)
d. The initial vertical velocity and the horizontal distance traveled by the object are 4.72 m/s and 30 m, respectively.
a. From the statement, we know:
The initial horizontal velocity (\(v_{i_{x}} \)) = 10 m/sThe time for the object to reach the ground = 3 sThe height of the cliff = 30 mb. We need to find the initial vertical velocity and the total horizontal distance traveled.
c. To calculate the initial vertical velocity we can use the following equation:
\( y_{f} = y_{i} + v_{i_{y}}t - \frac{1}{2}gt^{2} \) (1)
Where:
\( y_{f}\): is the final height = 0 m
\( y_{i}\): is the initial height = 30 m
\( v_{i_{y}}\): is the initial vertical velocity =?
g: is the acceleration due to gravity = 9.81 m/s²
t: is the time = 3 s
And, to find the horizontal distance traveled by the object we need to use the equation:
\( v_{i_{x}} = \frac{x}{t} \) (2)
Where:
\(v_{i_{x}} \): is the initial horizontal velocity = 10 m/s
x: is the horizontal distance =?
d. The solution to this problem is the following.
Calculation of the initial vertical velocity (eq 1)\( y_{f} = y_{i} + v_{i_{y}}t - \frac{1}{2}gt^{2} \)
\( 0 = 30 m + v_{i_{y}}*3 s - \frac{1}{2}*9.81 m/s^{2}*(3 s)^{2} \)
Solving for \(v_{i_{y}}\)
\( v_{i_{y}} = \frac{\frac{1}{2}*9.81 m/s^{2}*(3 s)^{2} - 30 m}{3 s} = 4.72 m/s \)
Hence, the initial vertical velocity is 4.72 m/s.
Calculation of the horizontal distance (eq 2)\( v_{i_{x}} = \frac{x}{t} \)
\( 10 m/s = \frac{x}{3 s} \)
\( x = 10 m/s*3 s = 30 m \)
Therefore, the horizontal distance traveled by the object is 30 m.
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whos correct and why? please help me with this
Answer:
Enrique is the correct answer Hope it helps you have a good day
Answer:
enrique is correct
Explanation:
thw earth is bigger than the moon and closer to the sun therefore a shadow is cast from the earth onto the moon as it orbits around the earth
Block B in rests on a surface for which the static and kinetic coefficients of friction are 0.59 and 0.40, respectively. The ropes are massless.What is the maximum mass of block A for which the system remains in static equilibrium?
The maximum mass of block A that can be supported by the tension in the rope is 0.59 times the mass of block B, based on the static coefficient of friction and weight of block B.
To find the maximum mass of block A that can be supported by the tension in the rope, we can use the static coefficient of friction and the weight of block B.
Here, T1 and T2 are the tensions in the ropes, and mB is the mass of block B.
Since the system is in static equilibrium, the net force on each block must be zero. Therefore, we can write the following equations:
T1 = mA_{Total} * g
where mA_{Total} is the total mass of block A and any additional mass that can be supported by the tension in the rope.
For block B:
T2 = mB * g
where g is the acceleration due to gravity.
The tension in the ropes can be expressed as:
T1 = T2 = friction
where friction is the force of friction between block B and the surface.
The tension in the ropes is equal to the force of friction between block B and the surface. Therefore, the maximum additional mass that can be supported by the tension in the rope is given by:
mA_{Max} = Ffriction / g * μs
where F is friction is the force of friction between block B and the surface,
g is the acceleration due to gravity, and
μs is the static coefficient of friction.
We can find the force of friction,
friction, using the weight of block B:
friction = μs * mB * g
Substituting this expression for friction in the equation for mA_{Max}, we get:
mA_{Max} = μs * mB
= 0.59 * mB
Therefore, the maximum mass of block A that can be supported by the tension in the rope is 0.59 times the mass of block B.
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No two electrons in an atom can have the same four quantum numbers. This is a statement attributed to.
No two electrons in an atom can have identical four quantum numbers. This is a statement that is attributed to the Pauli Exclusion Principle.
It states that in an atom or molecule, no two electrons can possess the same four electronic quantum numbers. As an orbital can accommodate a maximum of only two electrons, the two electrons must have opposite spins. This means if one electron is allotted a spin-up electron, the other electron must be a spin-down electron.
The adequacy of an orbital to accommodate electrons is decided by Pauli's exclusion principle. According to this principle, for an electron belonging to the same orbital, the spin quantum number must be different since the other three quantum numbers are the same.
The spin quantum number can have two values: +1/2 and -1/2.
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Explain the molecular concept of thermal energy.
Explanation Needed!!
The explanation should be to the point!!
Answer:
The temperature of an object increases when the molecules that make up that object move faster. Thermal energy is energy possessed by an object or system due to the movement of particles within the object or the system.
When a rise in temperature causes atoms and molecules to move faster Then thermal energy is produced as they collide with each other.
What is thermal energy?Thermal energy is produced in a substance when a rise in temperature causes atoms and molecules to move at a higher speed and result they collide with each other. The energy produced from the temperature of the heated material is known as thermal energy.
Thermal Energy or internal Kinetic Energy is due to the random motion of molecules in a system. The thermal energy of a given system is directly proportional to the temperature.
The greater the temperature of the system, the greater the movement of molecules within a given system, and the greater the thermal energy of the system.
The thermal energy is dependent on the temperature which is dependent on the motion of the molecules. As a result, the more molecules that are present within the system, the greater the amount of movement which raises the temperature and eventually thermal energy.
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how many oxygen atoms are there in the products of this equation: C6H12O6+6O2 ➪6CO2+6H2O+energy?
MCQ
The elasticity of highly elastic body is
a. 1
b. 0
c. 0.5
d. none of them
The elasticity of highly elastic body is can tend to infinity and not represented as 1, 0 or 0.5.
option D; none of them.
What is elasticity of a material?
Elasticity is the tendency of solid objects and materials to return to their original shape after the external forces (load) causing a deformation are removed.
An object is said to be elastic when it comes back to its original size and shape when the load is no longer present and inelastic if it dose not return back to its original size and shape after being deformed.
The elasticity of a highly elastic body is not represented by a specific numerical value like 1, 0, or 0.5. In other words, the elasticity of an elastic material can tend to infinity.
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A box of cereal with a weight 3. 8 i at ret on the kitchen counter. What i the normal force that the counter exert on the box of cereal?
The normal force that the counter exert on the box of cereal in upward direction is 3.8 N.
What is normal force?A contact force is a normal force. A normal force cannot be applied between two surfaces that are not in contact. For instance, if a table and a box's surfaces are not in contact, they cannot exert typical pressures on one another.
In contrast, when two surfaces (such as a box and a table) come into contact, they exert a normal force on one another that is perpendicular to the contacting surfaces. The strength of this normal force will be as great as is required to stop the surfaces from piercing one another.
Given:
Weight of the box is 3.8 N.
So, the normal force that the counter exert on the box of cereal is 3.8 N and it acts upwards.
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what force pushes groundwater from pore space to pore space when below the water table?
The force that pushes groundwater from pore space to pore space when below the water table is primarily due to the pressure gradient within the aquifer. This pressure gradient is caused by the weight of the overlying water and the force of gravity.
Below the water table, the spaces between soil or rock particles are filled with water. These spaces are known as pore spaces. The water table represents the upper surface of the saturated zone, where all the pore spaces are filled with water. gravity acts vertically downward, causing the weight of the water above a particular point to exert a downward force. As a result, the water pressure increases with depth. This increase in pressure creates a pressure gradient within the aquifer.
The pressure gradient drives the flow of groundwater from areas of higher pressure to areas of lower pressure. When a well is drilled into the aquifer below the water table, water will naturally flow into the well and rise to the level of the water table. This is because the pressure is higher below the water table compared to the lower pressure in the well.
The movement of groundwater from pore space to pore space occurs due to the pressure difference between adjacent spaces. Water will flow from areas of higher pressure to areas of lower pressure until the pressures equalize. This movement of water is known as groundwater flow or hydraulic conductivity.
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An astronaut in space might feel weightless, but there still is a gravitational attraction between the astronaut and earth. Which two factors affect this gravitational attraction?.
The two factors affecting the gravitational attraction between the astronaut and earth are the mass and distance.
Although an astronaut in orbit around the Earth experiences less of the effects of gravity than someone on the planet's surface does, this is not the reason why an astronaut feels weightless. Most manned spacecraft, including the International Space Station and the Space Shuttle, cannot travel so far from the Earth. Only around 11% of the Earth's gravitational pull is reduced at those heights compared to the planet's surface.
Because gravity is such a weak force, you don't see gravitational effects between items in a spacecraft. Gravity is by far the weakest of the four fundamental forces about which scientists can be certain.
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The mass and distance between the astronaut and the earth are the two variables influencing the gravitational pull.
This is not the reason why an astronaut feels weightless, even if an astronaut in orbit around the Earth feels less of the effects of gravity than someone on the planet's surface does. The majority of human spacecraft, such the Space Shuttle and International Space Station, are unable to travel that far from the Earth. In comparison to the planet's surface, just around 11% of the Earth's gravitational attraction is diminished at those altitudes.
In a spaceship, there are no gravitational influences between the objects because gravity is such a weak force. Of the four fundamental forces, gravity is by far the one about which physicists are most certain.
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Juul’s ceo was forced to quickly respond to the increased scrutiny the company was facing. Which decision-making style allows senior leaders to quickly act?.
Directive decision making is used by leaders and CEOs of companies to make quick decisions without delay and hesitation for fast results.
What is directive decision making?Instead of seeking for further information from others, their conclusions are based on their own knowledge, experience, and reasoning. The benefits of this technique are speedy decision making, unambiguous ownership, and minimal additional communication.
When to use directive decision making?This method of decision-making works effectively in circumstances that are stable and have recurring patterns and events. Save directive judgments for situations where there is an unambiguous and evident cause-and-effect link; in other words, where there is a collectively accepted correct response.
A leader's role is very important in directive decision making it does not have to be considered the thought of others in such scenarios and take action on his own responsibility office actions without consideration of what others might think.
Therefore, Directive decision making is used by leaders and CEOs of companies to make quick decisions without delay and hesitation for fast results.
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Directive decision-making style allows senior leaders to quickly act
What is decision-making that is directive?
They draw their findings from their own knowledge, experience, and reasoning rather than asking others for more information. This method has the advantages of rapid decision-making, clear ownership, and minimal extra communication.
When is directed decision-making appropriate?In situations with predictable patterns and events, this approach of decision-making performs well. Avoid making directive decisions until there is a clear and obvious cause-and-effect relationship, or when there is a generally agreed-upon correct reaction.
The role of a leader is crucial in the process of making directed decisions; in such situations, he must act on his own initiative and without taking into account what others may think.
In order to make judgments quickly and without hesitation in order to get results quickly, leaders and CEOs of businesses employ the directive decision-making process.
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Question 69 Marks: 1 Any excavation in clay, loam, silt or sand more than ______ in depth should have side wall protection to prevent a cave-in.Choose one answer. a. 5 feet b. 4 feet c. 3 feet d. 2 1/2 feet
Any excavation in clay, loam, silt, or sand more than 5 feet in depth should have side wall protection to prevent a cave-in. Therefore, the correct answer is option A) 5 feet.
Excavation work involves digging, moving, or removing soil, rock, or other materials from the ground to create a hole, trench, or foundation for construction or other purposes. Excavation work can be hazardous, particularly when workers enter or work around trenches or excavations.
Cave-ins are one of the most common and deadly excavation hazards. When soil is excavated from the ground, the sides of the excavation can become unstable and collapse, trapping workers underneath. This can cause serious injury or death.
To prevent cave-ins, OSHA (Occupational Safety and Health Administration) requires that all excavations 5 feet or deeper be protected by a protective system. The protective system can be either sloping and benching, shoring, or shielding. Sloping and benching involve cutting back the sides of the excavation to create a slope or series of steps to prevent cave-ins. Shoring involves installing supports, such as hydraulic or mechanical braces, to prevent cave-ins. Shielding involves using trench boxes or other types of protective systems to prevent soil from falling or rolling into the excavation.
In addition to using protective systems, it is important to conduct regular inspections of the excavation site, to train workers on safe excavation practices, and to implement a rescue plan in case of an emergency. Following these safety procedures can help prevent cave-ins and other excavation-related accidents, and ensure the safety of workers on the job site.
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explain this chart of mars' movement
mars
date
time
location
4/10
4/11
4/12
4/13
9:55 AM PST
21:12
21:11
21;10
Taurus -3.95 1.12 AU
Taurus -3.95 1.12 au
Taurus -3.95 1.11 au
Taurus 9.36 1.10 au
The chart shows the movement of Mars in the sky over the course of four days.
What does the chart movement say?The first column shows the date and time, the second column shows the location of Mars in the sky, and the third column shows the distance of Mars from Earth.
On April 10, Mars was located in the constellation Taurus. It was visible in the evening sky, just after sunset. Mars was about 1.12 astronomical units (AU) from Earth. An astronomical unit is the distance between Earth and the Sun.
On April 11, Mars was still located in Taurus, but it was now visible in the morning sky, just before sunrise. Mars was still about 1.12 AU from Earth.
On April 12, Mars was still located in Taurus, but it was now moving closer to Earth. It was about 1.11 AU from Earth.
On April 13, Mars was located in the constellation Gemini. It was now visible in the evening sky, just after sunset. Mars was about 1.10 AU from Earth.
As Mars moves closer to Earth, it will appear larger in the sky. It will also be brighter, as it will reflect more sunlight. Mars will reach its closest approach to Earth on October 15, 2024. At that time, it will be about 0.62 AU from Earth.
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A scientist proposed a hypothesis that burning coal at higher altitudes would release less pollution. The data the scientist collected did not support the hypothesis. In what way is the hypothesis still valuable?
Answer: i really don't know bu i recomened you watch josie b asmr she is the best
Explanation:
in a nuclear reaction, what value is conserved in addition to electric charge, energy, and momentum?
Nuclear baryon number (mass number) is conserved in addition to electric charge, energy, and momentum in a nuclear reaction.
In a nuclear reaction, electric charge, energy, and momentum are conserved, as in any other type of reaction. However, in addition to these conservation laws, the nuclear baryon number, also known as the mass number, is conserved. The baryon number is the number of nucleons (protons and neutrons) in the nucleus.
Since nuclear reactions involve the rearrangement of nucleons, it is important that the total number of nucleons before and after the reaction remains the same.
This is because nucleons are fundamental particles that cannot be created or destroyed.
Therefore, the conservation of baryon number ensures that the total number of nucleons in a nuclear reaction is always the same before and after the reaction.
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when two tuning forks with frequencies 742 hz and 766 hz are sounded together beats are produced. what is the beat frequency?
The beat frequency is the absolute value of the difference between the frequencies of the two tuning forks: |766 Hz - 742 Hz| = 24 Hz.
When two tuning forks with slightly different frequencies are sounded together, they produce a phenomenon known as beats. The beat frequency is the difference between the frequencies of the two tuning forks, and it can be calculated by taking the absolute value of the difference. In this case, the beat frequency is:
|766 Hz - 742 Hz| = 24 Hz
This means that the two tuning forks produce 24 beats per second. The beat frequency is an important concept in music and can be used to tune instruments or to create interesting rhythmic patterns. It is also used in physics experiments to measure the accuracy of timekeeping devices, such as clocks and watches.
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you are moving at 120 km/h toward a stationary train. the train blows its 0.400-khz whistle. take the speed of sound to be 340 m/s. what frequency do you hear?
The train whistle usually creates a frequency of 444 Hz.
How can frequency be clarified?The pace of direction changes in current per millisecond is known as frequency. It is expressed in hz (Hz), a measuring unit that is used internationally. One hertz is comparable to one cycle per second. One hertz (Hz) is equivalent to one pulse per second. A complete alternate current or voltage wave is referred to as a cycle.
Given;
speed of the train, Vs = 120 km/h = 33.33 m/s
observed frequency, Fo = 0.4 kHz = 400 Hz
speed of sound in air, V = 340 m/s
The Doppler effect formula contains the source frequency;
Fs = F0[V/V- Va]
Fs = 400[340/340-33.33]
Fs = 443.6Hz
Fs = 444Hz
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What moon phase would happen immediately before the shown phase?
Waning Crescent
Waxing Gibbous
Full Moon
New Moon
Answer:
waning crescent
Explanation:
Waxing Crescent - Rises before noon, transits meridian before sunset, sets before midnight
Answer:
new moon
Explanation:
yea im sure
can i get the brainliest? or not ok T-T im always alone i know and nobody doesnt like me so yes u are right im always alone for forever
and nobody doesnt wanna chat with me ok i got it bcoz thats all my bad im a bad person :(
A person dives to a depth of 9 m into a pool filled with water. The liquid (gauge) pressure on the person is 9000 Pa Og Pa 90000 Pa 90 Pa The three objects shown have the same volume. Rank the buoyant forces from high to low: O A=B>C Need more information All are equal O C>B=A Buoyant force is greater on a submerged 0.1-kg block of - aluminum. (Density aluminum = 2700 kg/m"") Need more information same on each Iron. (Densityiron= 7874 kg/m3)
The liquid pressure on the person is 88200 Pa. The buoyant forces will be equal, and the answer is "A=B=C".
The liquid pressure on the person diving to a depth of 9 m into a pool filled with water can be calculated using the formula:
P = ρgh
where P is the liquid pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the depth of the liquid.
For water, the density is approximately 1000 kg/m\(^3\), and g is approximately 9.8 m/s\(^2\). Plugging in these values and the given depth, we get:
P = (1000 kg/m\(^3)(9.8 m/s^2\))(9 m) = 88200 Pa
Therefore, the liquid pressure on the person is 88200 Pa.
Ranking the buoyant forces from high to low for three objects with the same volume, we know that the buoyant force is equal to the weight of the fluid displaced by the object. Since all three objects have the same volume, they will displace the same amount of fluid. Therefore, the buoyant forces will be equal, and the answer is "A=B=C".
The buoyant force on a submerged block can be calculated using the formula:
Fb = ρVg
where Fb is the buoyant force, ρ is the density of the fluid, V is the volume of the displaced fluid (which is equal to the volume of the block), and g is the acceleration due to gravity.
For the aluminum block with a density of 2700 kg/m^3 and a mass of 0.1 kg, the volume can be calculated as:
V = m/ρ = 0.1 kg / 2700 kg/m\(^3 = 3.7 x 10^-5 m^\)3
The buoyant force on the aluminum block can then be calculated as:
Fb = (1000 kg/m\(^3)(3.7 x 10^-5 m^3)(9.8 m/s^2\)) = 3.6 x 10\(^-1 N\)
For the iron block with a density of 7874 kg/m\(^3,\) the buoyant force can be calculated in the same way, and we get:
Fb = (1000 kg/m\(^3)(3.7 x 10^-5 m^3)(9.8 m/s^2)\) = 1.1 N
Therefore, the buoyant force is greater on the submerged block of aluminum.
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