The y - component of the position vector is 4m.
According to the question,
The Pythagorean theorem may be used to determine the y-component of a position vector in the first quadrant
With an x-component = 3 m and a magnitude = 5 m.
According to the Pythagorean theorem, "a 2D vector's square magnitude equals the sum of the squares of each of its component parts"
⇒ magnitude² = x² + y²
Now,
By substituting the specified values, we obtain:
5² = 3² + y²
By finding y, we obtain:
y = √(5 + 3 + 2)
⇒ y = √(25 - 9 + 9)
⇒ y = √(16)
∴ y = 4 m
Therefore, the position vector's y-component is 4 m.
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A speaker fixed to a moving platform moves toward a wall, emitting a steady sound with a frequency of 250 Hz. A person on the platform right next to the speaker detects the sound waves reflected off the wall and those emitted by the speaker. Part A How fast should the platform move, up, for the person to detect a beat frequency of 7.00 Hz ? Take the speed of sound to be 344 m/s. Express your answer numerically in meters per second using three significant figures.
The platform will move in an upward direction at a velocity of [tex]-0.704m/s[/tex]
What is the frequency of sound?Frequency is a measure of the number of cycles of a periodic wave that occur in a unit of time. It is generally expressed in Hertz (Hz). One Hertz is analogous to one cycle per second.
What does frequency determine?The frequency of a wave determines its pitch. Higher-frequency waves have a higher pitch, and lower-frequency waves have a lower pitch. In sound waves, the frequency of a wave is directly proportional to the perceived pitch of the sound.
The beat frequency is then given by:
[tex]fbeat=|f'-fO|[/tex]
Setting this equal to [tex]7 Hr[/tex] and solving for v, we find:
[tex]v=(c/2)*(f_beat /fO-1)=(344/2)*(7/250-1)=-0.704m/s[/tex]
So the platform will move in an upward direction at a velocity of [tex]-0.704 m/s[/tex]
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true or false: to achieve good piezoelectric response, a material should have both a high piezoelectric coefficient and have high electrical resistivity.
The given statement " to achieve good piezoelectric response, a material should have both a high piezoelectric coefficient and have high electrical resistivity." is false because to achieve good piezoelectric response, a material should have a high piezoelectric coefficient, but low electrical resistivity.
A high piezoelectric coefficient means that the material has a strong ability to generate an electrical charge when subjected to mechanical stress, which is the hallmark of good piezoelectric performance. However, high electrical resistivity reduces the flow of electrical charge, which can hinder the performance of piezoelectric materials. Therefore, to achieve good piezoelectric response, a material should have a high piezoelectric coefficient and low electrical resistivity.
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one electron is on the ground. another electron is in the air, and is at the exact location where the upward force of repulsion between the two charges is equal in magnitude to the weight of the electron. what is the distance between the electrons?
The distance between the two electrons is q√K/2mg,where q is the charge of the electron.
The electron ( e or β ) is a subatomic molecule with a negative one rudimentary electric charge. Electrons have a place with the original of the lepton molecule family, and are by and large remembered to be rudimentary particles since they have no known parts or base
We know that force exerted by each electron on other is electrostatic force which is given by the formula,
F=(Kq₁q₂) / r²
where q₁,q₂ are the charges of the electron and r is the distance between them.
Since,both are electrons,q₁=q₂.
Now,both electrons have some mass which we assume as m.Due to presence of acceleration due to gravity,both act certain amount of force which is equal to their weight i.e.mg
So,total weight of two electrons is=2mg
Now,2mg=(Kq₁q₂) / r²
=>2mg=Kq²/r²
=>r²=Kq²/2mg
=>r=√Kq²/2mg
=>r=q√K/2mg.
Hence,distance between two electrons is q√K/2mg.
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(Complete question) is:
one electron is on the ground. another electron is in the air, and is at the exact location where the upward force of repulsion between the two charges is equal in magnitude to the weight of the electron. what is the distance between the electrons?Assume q as charge,m as mass of electron.
how to solve resultant of two forces when given an angle
Answer:
Explanation:
To find the resultant of two forces when given an angle, you can use the two-dimensional vector addition method. Here are the steps to follow:
Represent each force as a vector. The magnitude of each vector should be equal to the magnitude of the force, and the direction of each vector should be equal to the direction of the force.
Place the vectors on a coordinate plane with their tails at the origin and their tips pointing in the direction of the forces.
Find the x and y components of each vector using trigonometry. For example, if the angle between the x-axis and the vector is θ, then the x-component of the vector is equal to the magnitude of the vector times cos(θ) and the y-component of the vector is equal to the magnitude of the vector times sin(θ).
Add the x and y components of the two vectors to find the x and y components of the resultant vector.
Use the Pythagorean theorem to find the magnitude of the resultant vector. The magnitude of the resultant vector is equal to the square root of the sum of the squares of the x and y components.
Find the direction of the resultant vector by finding the inverse tangent (tan^-1) of the ratio of the y-component of the resultant vector to the x-component of the resultant vector.
The final result is the vector that starts at the origin and ends at the point determined by the x and y components of the resultant vector, with a magnitude equal to the magnitude of the resultant vector and a direction equal to the direction of the resultant vector.
By using this method, you can find the magnitude and direction of the resultant of two forces given an angle between them.
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how are positron emission tomography (pet) and functional magnetic resonance imaging (fmri) studies similar?
The similarity between Positron Emission Tomography (PET) and Functional Magnetic Resonance Imaging (fRMI) is that both methods measure blood flow in the brain.
A positron emission tomography (PET) scan is what is used to determine how much blood is flowing through the brain. To accomplish this, a radioactive isotope is injected intramuscularly into a human or animal subject. Both a positron emission tomography (PET) scan and a functional magnetic resonance imaging (fMRI) scan monitor blood flow in the brain, which is an indirect measure of brain activity. However, there are benefits and drawbacks associated with the use of either approach for functional brain imaging.
PET scans have the advantage over fMRI in that the subject does not need to maintain the same level of stillness throughout the examination. The results from an fMRI scan can be completely ruined by even the tiniest of movements, whereas the data from a PET scan are unaffected by such movements.
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Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only
50
%
50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.
What happened to the electrical energy provided to the pump?
Electrical energy which is provided to the pump is transformed into gravitational potential energy and into sound in equal portions. Thus, the correct option is C.
What is the law of conservation of energy?
The principle of conservation of energy establishes that the energy cannot be created nor it can be lost alone. Energy can only be transformed, based on the principle of conservation of energy, the mechanical energy of the system is established as formed by the kinetic energy and the different in potential energies.
In this case, the electrical energy of the system is transformed into kinetic energy to raise the water temperature, when it reaches a height level where its actual speed is zero, all the mechanical energy is transformed into gravitational potential energy.
Therefore, the correct option is C.
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Your question is incomplete, most probably the complete question is:
Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only 50\%50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.
What happened to the electrical energy provided to the pump?
a. It mostly transformed into gravitational potential energy, and a small portion transformed into sound.
b. It mostly transformed into sound, and a small portion transformed into gravitational potential energy.
c. It transformed into gravitational potential energy and into sound in equal portions.
d. It mostly transformed into sound energy and gravitational potential energy, and a small portion disappeared.
a 100kg projectile is released from a height of 100m above the ground. how deep will it penetrate the ground
The depth of penetration of the 100kg projectile into the ground is 5.09 meters.
How does the height of release affect the depth of penetration?
The height of release affects the depth of penetration in that a higher release point will result in a higher initial velocity for the projectile. This in turn will cause a deeper penetration into the ground upon impact.
The depth of penetration of the 100kg projectile into the ground can be calculated using the following formula:
d = (v^2)/(2g), where v is the velocity upon impact and g is the acceleration due to gravity.
Assuming no air resistance, the velocity upon impact can be calculated as v = √(2gh) = √(2 * 9.8 * 100) = 44.72 m/s.
Plugging in this value into the formula gives d = (44.72^2)/(2 * 9.8) = 508.57 cm or 5.09 meters.
However, the exact depth will also depend on other factors such as the mass of the projectile and the resistance of the ground.
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a type of sonographic imaging that transmits two pulses of opposite phase in rapid succession so the fundamental frequency can be cancelled out upon reception is termed
Artifact of Range Ambiguity in PWD: When a flash (secondary pulse) is emitted when all of the echo from the prior pulses have been received back, range ambiguous artifact will result.
What details are displayed in M mode?In the beginning of ultrasonography, the M-mode has been the chosen imaging modality. The ultrasonic wave is displayed in time-motion along a selected ultrasound line in M-mode. It offers a flat perspective of the heart. The time axis is used to depict every reflector along this line.
Which radiology procedure uses high frequency sound pulses from such a two transducers to identify various tissue types?An ultrasound-based computed tomography technique called diagnosing sonography (ultrasonography) is used to see subcutaneous body components such tendons, muscles, joints, and blood arteries the internal organs for any potential abnormalities or pathology. Sonography is useful for capturing images of the body's soft tissues.
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what byproduct is released during electron transport?
The end consequence is an inflow of neutrons into the mitochondria's intermembrane space and water formation in the mitochondrion as a byproduct.
Who or what is an electron?A opposite charges neutrino known as an electron can either be free or attached to an atom (not bound). One of the three main types atomic particles within an atom is an elementary particle that is bonded to it; its other three are protons and reactors.
What exactly are atoms and electrons?The negatively charged components of an atom are called electrons. The total negative charge of an atom's electrons counteracts the two electrons of its protons in the nucleus.
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A body does 10 Jules of work in 2 seconds? What is it’s power?
The work done is 10 J and it took 2 seconds to do the work.
So, power = work done / time taken
Power = 10 J / 2 s
Power = 5 Watts
So, the body has a power of 5 Watts.
What is power?
Energy transfer or work output is measured in terms of power. It has a scalar value and is quantified in watts (W). P = W/t, where P represents power, W is the amount of work completed, and t is the amount of time required, which is the formula for power.
Power can be used to define the rate of heat transmission in a system, the rate at which a machine performs work or the rate at which energy is transferred in a circuit. It is a key idea in physics since it is applicable to many disciplines, such as electrical engineering, mechanics, and thermodynamics.
Power is also referred to as activity in ancient writings. A scalar quantity is a power.
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rotating cd and laser at distance r a cd has to rotate under the readout-laser with a constant linear velocity of 1.25 m/s. if the laser is at a position 4 cm from the center of the disk, what are the revolutions per minute (rpms) of the disk?
The revolutions per minute (rpms) of the disk is calculated as 875 rpm.
What is rpm?Full form of RPM is Revolutions Per Minute and it is a calculation of the rotation frequency, the number of revolutions or turns an object takes per minute.
First, calculate the circumference of the circle traced by the laser:
C = 2 * pi * r = 2 * pi * 0.04 m = 0.08 m
Next, divide the circumference by the linear velocity of the CD:
RPM = (v / C) * 60 sec/min
where v is the linear velocity of the CD.
So,
RPM = (1.25 m/s) / (0.08 m) * 60 sec/min = 875 RPM
Therefore, the disk is rotating at 875 revolutions per minute.
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what are two functions of ground tissue in plants
Answer: Ground tissue makes up much of the interior of a plant and carries out basic metabolic functions. Ground tissue in stems provides support and may store food or water. Ground tissues in roots may also store food.
Explanation:
An inclined plane reduces the amount of force needed to move an object by a.increasing the distance the object moves.
b.transferring more of the force to the object
c.reversing the direction the object is moved.y
By (a) extending the object's travel distance, an inclined plane decreases the force required to move the object.
What is force?At this point, describing a force as a push or a pull is perfectly acceptable. There is no such thing as a force that an object "has in it" or "contains." A force is applied to one thing by another. The idea of a force encompasses both living and non-living things. A force has the ability to alter or increase the velocity of a massed object. A simple way to express force is with a push or a pull.. The fact that a force has both a magnitude and a direction makes it a vector quantity.
How many types of force are there?Contact forces and remote action There are two distinct kind of forces. Your consistent use of force is obvious. Push and pull are basically forces. When you push or pull against an object, you apply force to it.
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Assuming that the same impulse is transferred from the hammer, does the center-of-mass motion after the collision depend on which cube is struck first?
No, the center of mass within the system will advance to the same pace in the alternative situation, contrary to the claim made.
What is an example of motion physics?The change in an object's position with respect to time is known as motion. Motion includes sounds like windows shaking, a book falling off a table, water running from faucet, etc. There is motion in all of the air we breathe! So globe in its entirety is in move.
An object's change in momentum is referred to as its impulse.
I = Time * Force
No, because the system consists of the same cubes in both cones and perhaps some change in the momentum of the blocks is noted, the center of mass motion following the collision is independent of the cube that was trapped initially. They provide the same impulse and induce the same ultimate velocity in both cones since they are the same.
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How many searching ranges need to be evaluated in your path of travel?fourthreeonetwo
In your line of travel, you must examine three searching ranges.
Search Pattern:There are a few basic search patterns; visibility and item size determine the frequency, or how closely you stick to the previous search line. A search pattern is a methodical approach to conduct a search for an object or person, whether on land or under water.
The growing circle: place a marker in the middle of the last point that is known, then move out one step with each revolution. It is ideal to accomplish this with a line to avoid covering the same area more than once.
The grid is a back-and-forth movement over a space that involves moving to the edge of your field of vision to find the next path going the other way.
By using patterns, you can avoid searching in the same place twice or at random, both of which waste time and resources.
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at the top of a high cliff, a small rock is dropped from rest. a ball is launched straight downward with an initial speed of 36.0 ms at a time 2.10 s after the rock was dropped. when the ball has fallen 28.0 m further than the initially dropped rock, what is the speed of the ball relative to the rock?
The rock was initially stationary and has fallen the same distance as the ball, the speed of the ball relative to the rock is 86.4 m/s.
The speed of the ball can be calculated using the equation of motion for freely falling objects, v = gt + v0, where g is the acceleration due to gravity (9.8 m/s^2), t is the time elapsed since the ball was launched (t = 28.0 m / g = 2.86 s), and v0 is the initial speed of the ball (36.0 m/s).
The final speed of the ball, v, is given by:
v = gt + v0 = 9.8 * 2.86 + 36.0 = 86.4 m/s.
Acceleration is the rate of alternate of speed with respect to time. It is a vector quantity and is expressed in units of meters per second squared (m/s^2). Acceleration can be negative or positive, depending on the direction of the velocity change. Positive acceleration means that an object is speeding up, while negative acceleration means that it is slowing down. Zero acceleration means that an object is moving at a constant velocity.
There are several ways to calculate acceleration, including the formula a = (v_f - v_i) / t, where v_f is the final velocity, v_i is the initial velocity, and t is the time elapsed.
Acceleration can be due to various forces, including gravity, friction, and net forces from external sources. An object under the influence of gravity experiences constant acceleration, known as the acceleration due to gravity, which is 9.8 m/s^2.
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a car is moving at a speed of 30 m/s on a curved section of a highway with a radius of 800 m. assume that the driver brakes to decelerate the car at a constant rate along the velocity direction. if after 8 sec the speed has been reduced to 20 m/s, determine the acceleration (vector) of the car immediately after the brakes were applied.
A particle is restricted to moving in a circle of radius of 10 meters. The particle is moving at a speed of ten m/s and is speeding up at a of 1.0 m/s2. The particle's acceleration and velocity vectors meet at an angle.
In physics, what is a particle?
It doesn't matter how big or small or even microscopic anything is; a particle is only a tiny, discrete element of it. Its concept of the particle can possibilities on what a scientist or designer is researching. If a particle is even smaller, such as a quark or a lepton, a theoretical physicist will still regard it to be a particle.
Describe particle?
Any substance made up of particles is referred to as a particulate. However, rather than a linked particle aggregation, the noun "particulate" is most usually used to refer to contaminants in the Upper orbit, which are a dispersion of disconnected particles. Dots are a common way to represent particles.
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the supergiant star betelgeuse (in the constellation orion) has a measured angular diameter of 0.044 arcsecond from earth. what is the value of its angular size in degrees?
Betelgeuse has an angular dimension of around 0.0000122 degrees.
What is arcseconds?The phrase "arc second" is used in astronomy in three ways: (1) to describe a given distance in declination on a star chart, (2) as a given unit of astronomical object size, and (3) as a statement of telescope resolving ability. Circle angles may be calculated in radians since 2 times the radius equals the circumference, with 2 of these making up one full revolution. Alternatively, 0.017453 radians per degree. Multiply 206,265 arcseconds per radian to convert radians to arcseconds.
Here,
To convert the angular diameter of Betelgeuse from arcseconds to degrees, we can use the conversion factor:
1 degree = 3600 arcseconds
So, the angular size of Betelgeuse in degrees can be found by dividing the angular diameter in arcseconds by the conversion factor:
Angular size (in degrees) = Angular diameter (in arcseconds) / (3600 arcseconds/degree)
Angular size (in degrees) = 0.044 arcseconds / 3600 arcseconds/degree
= 0.044 / 3600
= 0.0000122 degrees
So, the angular size of Betelgeuse is approximately 0.0000122 degrees.
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Whenever the net force on an object is zero, its acceleration _____. (a) and velocity are the same, (b) is zero, (c) may be zero, (d) None of the above.
The body's acceleration is equal to zero if the total external force exerted on it is zero.
What happens to an object's acceleration when the net force is zero?When F, the net force, is zero, it can be demonstrated that Newton's First Law is a particular case of the Second Law. The acceleration must also be zero at that point. The velocity stays the same since acceleration is determined by dividing the change in velocity by the amount of time that has passed.
If there is no net force, then there is also no acceleration, right?The object will move at a constant speed if there is no acceleration. We may examine Newton's second law and the acceleration formula mathematically. We are aware that there is no force. The acceleration must be zero because we are aware that the mass cannot be zero.
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base your answer on the diagram below which shows a parked police car with a siren on top. the siren is producing a sound with a frequency of 680 hertz, which travels first through point a and then through point b, as shown. the speed of the sound is 340 meters per second. what is the wavelength of the sound produced by the car's siren?
The wavelength of the sound produced by the car's siren is 0.5 m.
Frequency of the siren = 680 hertz
Speed of sound = 340m per second
The separation between two comparable (identical) points on adjacent waves are referred to as a wavelength. The distance between succeeding crests of an electromagnetic wave, more especially its wavelength, is measured in points. Wavelength and frequency have a strong relationship. The wavelength gets smaller as the frequency increases.
Calculating the wavelength -
Wavelength = Speed of Sound / Frequency
Substituting the values -
= 340 / 680
= 0.5
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a 14 kg hanging sculpture is suspended by a 90- cm -long, 5.0 g steel wire. when the wind blows hard, the wire hums at its fundamental frequency. what is the frequency of the hum?
When the wind blows hard, the wire hums at its fundamental frequency of 87 Hz.
The velocity of the wave is determined by the relation
v = √(Tension/mass per unit length)
where v = velocity of the wave
Here m= 5g = 0.005kg
L = 0.9 m
Mass per unit length = 0.005/0.9
= 0.00556kg/m
To get the tension on the string multiply the mass of the sculpture by the acceleration due to gravity, 9.8m/s²
T = 14kg x 9.8m/s² = 137.2 N
hence,
v = √(137.2/0.00556)
v = 157.086 m/s
But
Wavelength = 2L = 2 x 0.9 = 1.8m
Frequency = velocity/wavelength
f = 157.086/1.8 = 87 Hz
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the period of a pendulum is the time it takes to swing back and forth once (i.e. make a full cycle.) if the only dimensional quantities that the period depends on are the acceleration due to gravity, g, and the length of the pendulum, l, what combination of g and l must the period be proportional to?
The period of a pendulum is proportional to the square root of the length of the pendulum divided by the acceleration due to gravity, i.e. T ∝ √(l/g).
Gravity is a force of attraction between two bodies in the universe. It is what keeps planets in orbit around stars and what gives us the feeling of being pulled towards the ground. The strength of gravity is determined by the mass of the objects and the distance between them. The extra huge an item is, the stronger its gravitational pull. The farther aside items are, the weaker the force of gravity between them.
Sir Isaac Newton first described gravity in his law of universal gravitation, stating that every particle in the universe attracts every other particle with a force proportional to the made of their hundreds and inversely proportional to the square of the distance among them. Gravity is a fundamental force of nature and plays a crucial role in shaping the universe as we know it today.
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a person swings on a swing. when the person sits still, the swing oscillates back and forth at its natural frequency. if, instead, two people sit on the swing, the new natural frequency of the swing is
Lower than the natural frequency when only one person is on the swing. This is because the second person's added weight increases the swing's effective mass, making it oscillate more slowly.
The relationship between the natural frequency and the effective mass of a system can be described by the equation:
f = (k / (2 * pi * m))^0.5
Where f is the natural frequency, k is the system's spring constant (related to the stiffness of the swing), m is the effective mass, and pi is the mathematical constant pi (approximately equal to 3.14).
Since the effective mass of the system increases when two people sit on the swing, the natural frequency will decrease. This means that the new natural frequency of the swing is lower than the natural frequency when only one person is on the swing.
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two rectangular tanks contain air that have a constant temperature and are connected by a single valve. one tank is holding moist air, while the other is holding dry air. once the valve is opened, what is most likely to happen?
The right response is that the dry air will get even more dry and the wet air will become increasingly moistened, according to the stated statement.
What is the scientific term for temperature?The kelvin is the fundamental unit of temperatures in the World System of Units (SI). Its identifier is K. The Continental scale, inside which 0 degrees corresponds approximately to the 0 ° c and 100 degrees to its boiling at sea level, is frequently practical for use in common applications.
The atmosphere will get drier and the humid air will get even more humid. The overall humidity will increase and water will condense as warm, wet air mixes with cold, dry air. After then, it can return to the ground as precipitation.
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The complete question is-
Two rectangular tanks contain air that have a constant temperature and are connected by a single valve. One tank is holding moist air, while the other is holding dry air. Once the valve is opened, what is most likely to happen?
a). The two air masses will remain stationary and not mix.
b). The two air masses will mix until an equilibrium is reached.
c). The moist air will become even moist, and the dry air will become even more dry.
d). None of the answers are correct.
object x collides into object y and exerts a force on object y while both objects are in contact. a graph of the force that object x exerts on object y is shown. how could the graph be used to determine the change in momentum of object y during the collision?
After the collision, the kinetic energy generated by the system in case-1 will be lower than in scenario 2.
What is the car A's momentum following the impact *?The system's center of mass was v/2 before to the collision since one automobile had a velocity of v as well as the other zero. The average velocity is equal to the entire mass times the speed of the center of mass, or (2m)(v/2) = mv before and after.
The collision formula is what?(M1u1 + M2u2)/(M1 + M2) Before the impact, the masses' kinetic energy was K.E1 Equals 1/2 m1u21 Plus 1/2 m2u22. While the collision's kinetic energy is K.E2 = 1/2 (m1 + m2) v2. However, in accordance with the law of energy conservation, 1/2 m1u21 Plus 1/2 m2u22 Equals 1/2 (m1 + m2). v2 + Q.
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the voltage measured across a 5 f capacitor is 80 v. what is the charge in coulombs stored on the capacitor?
The charge in terms of coulomb that is stored in the capacitor which has a capacitance of 5F is 400 coulomb
The capacitance of the capacitor = 5 F
The voltage across the capacitor = 80 V
The charge stored in the capacitor can be found using the formula,
Q = C x V
where Q is the charge
C is the capacitance
V is the voltage of the capacitor.
Substitute the known values in the above equation, and we get
Q = 5 x 80
= 400 coulomb
Therefore, the charge stored in the capacitor is 400 coulomb.
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Which type of electromagnetic radiation is most likely to be non -ionizing radiation ? A. Radio B. Ultraviolet C. X -rays D. Gamma rays
Radio waves are most likely to be non-ionizing radiation.
Electromagnetic radiation can be classified into ionizing or non-ionizing radiation, depending on its ability to ionize atoms or molecules in its path. Ionizing radiation has enough energy to remove electrons from atoms or molecules, while non-ionizing radiation lacks sufficient energy to do so.
Radio waves have the lowest frequency and energy among the different types of electromagnetic radiation in the electromagnetic spectrum. They have a wavelength range of 1 millimeter to 100 kilometers, and their energy is typically below 10^-4 electron volts, which is not enough to ionize atoms or molecules. As a result, radio waves are classified as non-ionizing radiation.
On the other hand, ultraviolet, X-rays, and gamma rays have higher frequencies and energies than radio waves and are classified as ionizing radiation. Ultraviolet radiation has enough energy to ionize atoms or molecules in the air, causing sunburn and other skin damage. X-rays and gamma rays have enough energy to penetrate through materials, including human tissues, and can cause cellular damage or mutations if exposure occurs.
In summary, radio waves are non-ionizing radiation, while ultraviolet, X-rays, and gamma rays are ionizing radiation.
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A student attaches a block of mass M to a horizontal spring so that the block-spring system will oscillate if the block-spring system is
released from rest at a horizontal distance D below the system's equilibrium position. The student measures the period of oscillation for
the system to be P. What is the maximum spring potential energy of the system U, in terms of D, M, and P?
As a result, the system's maximum spring potential energy U is given by: U = (2π^2MD^2)/P^2
What is potential energy?Potential energy is the energy stored by an item as a result of its location relative to other objects, internal tensions, electric charge, or other reasons. Potential energy is stored energy that is affected by the relative location of various components in a system. When a spring is squeezed or extended, its potential energy increases. A steel ball has higher potential energy when lifted above ground than when it falls to Earth.
Here,
The maximum spring potential energy U can be calculated using the equation:
U = (1/2)kD^2
where k is the spring constant, which can be found from the period of oscillation using the equation:
k = (4π^2M)/P^2
Substituting the expression for k into the equation for U, we get:
U = (1/2)((4π^2M)/P^2) * D^2
So the maximum spring potential energy U of the system is given by:
U = (2π^2MD^2)/P^2
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QuestionWater is liquid at room temperature due to weak hydrogen bonds.ATrueBFalse
Answer: True
A weak hydrogen bond makes water liquid at room temperature. Electronegative oxygen forms these bonds with electropositive hydrogen.