The magnitude of the total change in momentum of the stream is equal to the sum of the momentum of each molecule multiplied by the number of molecules, n, which is:
mvn
Where m is the mass of each molecule and v is the speed of each molecule.
This equation is derived from the law of conservation of momentum, which states that the total momentum of a system before and after a collision must remain the same. Therefore, the total change in momentum of the system is equal to the sum of the momentum of each molecule multiplied by the number of particles.
This equation is useful for calculating the momentum of a system, such as a stream of particles, when the mass and speed of the individual particles are known.
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true or false. According to the law of conservation of momentum, the total momentum of an isolated system is constant.
The required statement about law of conservation of momentum is true.
Explain law of conservation of momentum.According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced. As a result, momentum cannot be gained or lost.
According to question:True. The law of conservation of momentum states that the total momentum of an isolated system remains constant, unless acted upon by an external force. This means that the total momentum of a system, consisting of multiple objects in motion, will remain the same unless a net force is applied to the system.
The law is a fundamental principle of classical mechanics and is widely used to explain the behavior of physical systems, including collisions and other interactions between objects.
The law of conservation of momentum is an expression of the fact that momentum is a conserved quantity in an isolated system, meaning that it cannot be created or destroyed, only transferred from one object to another.
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in what ways can kinetic energy be measured? it can be measured in terms of the work blank . multiple select question. it was able to do before it started in motion the object will do in coming to rest done to place an object in motion the object could do once it comes to rest
Kinetic energy can be measured :
the object will do in coming to rest done to place an object in motion the object could do once it comes to restABOUT KINETIC ENERGYKinetic energy was discovered around the seventh century. According to the Physics LibreTexts page at that time, the science of mechanics has explained about plants between two objects where the first object moves, then the second object is in a state of rest.
When the first object moves, it bumps into a second object which is stationary and the first object stops moving. However, the second object, which was initially stationary, was moving with the first object's speed when it collided with the second object.
That is, there is a certain amount of energy transferred by the first object to the second object. Thus, the first object that was initially still becomes moving. From this, the idea of this energy was born.
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how far from a 1.00- micro c point charge is the potential 100v? at what distance is it 2.00x10^2 v?
When the potential is 100 V, the distance from the charge is 90.0 m. When the potential is 2.00 × 10² V, the distance will be 45.0 m. The result is obtained by using the formula for electric potential.
What is electric potential?The electric potential is the amount of work energy required to move a charge from one point to another point in an electric field. It can be expressed as
V = kq/r
Where
V = electric potential (V)k = Coulomb constant (9 × 10⁹ Nm²/C²)q = charge (C)r = distance of separation (m)We have a charge with
q = 1.00 μCFind the distance if the electric potential is 100 V and 2.00 × 10² V!
Using the formula above, we get the distance.
V = kq/r
When the potential is 100 V,
V = kq/r
100 = (9 × 10⁹ × 1.00 × 10⁻⁶)/r
r = (9.00 × 10³)/100
r = 90.0 m
When the potential is 2.00 × 10² V,
V = kq/r
2.00 × 10² = (9 × 10⁹ × 1.00 × 10⁻⁶)/r
r = (9.00 × 10³)/(2.00 × 10²)
r = 4.50 × 10¹ m
r = 45.0 m
Hence, the distances if the electric potential is 100 V and 2.00 × 10² V are 90.0 m and 45.0 m, respectively.
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a music producer wants to create an echo in a recorded song from an artist. which of the following techniques would allow him to create an echo in a specific portion of the recorded audio file? decrease the amplitude of the digitized sound wave reverse the order of the digitized samples increase the frequency of the digitized sound wave duplicate the digitized sound wave
A music producer can create an echo in a recorded song by D: duplicating the digitized sound wave.
An echo effect is created by playing a sound, and then replaying a delayed version of that same sound. To create this effect in a digital audio file, the producer would make a copy of the sound wave and then delay it by a specific amount of time, typically a few milliseconds to a few seconds. The delayed copy of the sound wave is then mixed with the original sound wave, resulting in an echo effect. By adjusting the delay time and the volume of the delayed copy, the producer can create a range of different echo effects, from subtle to pronounced.
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a 1325 kg car, c, moving north at 27.0 m/s, collides with a 2165 kg car, d, moving east at 11.0 m/s. the two cars are stuck together. in what direction and with what speed do they move after the collision?
Answer:
To find the direction and speed of the two cars after the collision, you need to perform a momentum analysis. The momentum of the two cars before the collision can be calculated as follows:
Momentum of car c = 1325 kg * 27.0 m/s = 35725 kg m/s (north)
Momentum of car d = 2165 kg * 11.0 m/s = 23815 kg m/s (east)
The total momentum of the two cars after the collision is equal to the sum of their momenta before the collision. This is a vector sum, which can be represented by an arrow pointing in the direction of the total momentum.
The final velocity of the two cars can be found by dividing the total momentum by the total mass.
Total momentum = 35725 kg m/s + 23815 kg m/s = 59540 kg m/s
Total mass = 1325 kg + 2165 kg = 3490 kg
Final velocity = Total momentum / Total mass = 59540 kg m/s / 3490 kg = 17.0 m/s
This velocity is directed somewhere between north and east. The exact direction and speed of the two cars after the collision depends on their initial positions and orientation, which are not specified in the question.
if the cube floats so that it is 75 % in the water and 25 % in the oil, what is the mass of the cube? express your answer using two significant figures.
We can express the answer using two significant figures, which would be [tex]"750 kg/m^3".[/tex]
What is the mass of the cube?To find the mass of the cube, we need to know the density of the material it is made of. The density of an object is its mass per unit volume. If the cube floats so that it is 75% in the water and 25% in the oil, then its average density is equal to the weighted average of the densities of water and oil.
Let's assume that the density of water is 1000 kg/m^3 and the density of oil is 800 kg/m^3. The average density of the cube would be:
[tex](0.75 * 1000 kg/m^3) + (0.25 * 800 kg/m^3) = 750 kg/m^3.[/tex]
Since the cube is floating, its density must be equal to or less than the density of the liquid it is in, which in this case is [tex]750 kg/m^3.[/tex] So, we can calculate the mass of the cube using its volume and average density:
[tex]mass = volume * density = V * 750 kg/m^3[/tex]
Without knowing the volume of the cube, we cannot determine its exact mass. However, we can express the answer using two significant figures, which would be [tex]"750 kg/m^3".[/tex]
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Which are internal adaptations? Select ALL that apply.
A hollow bones in birds
B gills in fish
C hard turtle shell
D warm-blooded mammals
E camouflage
Hollow bones in birds, gills in fish and warm-blooded mammals are internal adaptations.
What is adaptation?There are three similar definitions of adaptation in biology. First, the dynamic evolutionary process of natural selection improves the evolutionary fitness of organisms by adapting them to their environments. Second, it's a state that the populace reaches during that process.
Various strategies can be used by organisms to adapt to their surroundings. They are capable of biological adaptation, which entails changing how the body works. The bodies of people who reside in high altitudes are an illustration of biological adaptability which is essential for survival.
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an automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0 s. what is the magnitude of the constant acceleration required to do this?
The speed change over time is measured by the size of the velocity vector along the path. The centripetal force as it circles the instant radius of curvature is the size of the acceleration vectors normal to the path (t).
What are magnitude and its definition?Formulas for a vector's magnitude Magnitude Formula for just a Vector with the Origin as the End Point. Magnitude Formula for just a Vector when (x1, y1) and (x2, y2) are the starting and ending points | v | = (x 2 + x 1) 2 + (y 2 + y 1) 2.
What is the magnitude?In order to create highly rough comparisons, orders in magnitude are typically used. It is primarily used when notating scientific data. One is roughly 10 times greater than the other if two integers are separated through one order of magnitude. They differ by the a factor of around 100 if they are separated over two orders of magnitude.
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a 13000 kg railroad car travels alone on a level frictionless track with a constant speed of 16.0 m/s. a 5000 kg load, initially at rest, is dropped onto the car. what will be the car's new speed?
The car's new speed will be 11.56 m/s.
What is Speed?Speed is the amount of distance covered in a unit of time. It refers to how quickly an object is moving. The scalar quantity speed symbolizes the size of the velocity vector. It's lost its feeling of purpose. An object is moving quicker when it is moving at a higher speed. It is moving more slowly if the speed is lower. If something isn't moving at all, it has no speed.
The momentum is conserved here, so Initial momentum = Final momentum.
Initial mass, m = 13000 kg
Initial velocity = 16 m/s
Final mass after load = 13000 + 5000 = 18,000 kg
Based on the above point,
13000 × 16 = 18000 × v
v = [tex]\frac{208000}{18000}[/tex]
v = 11.56 m/s
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unpasteurized fruit juice can be contaminated if there are pathogens in or on the fruit used to make it. T/F
It is untrue to say that unpasteurized fruit juice could be polluted if the fruit used to prepare it contains or is in contact with germs.
What is an example of contaminate?Chemicals had been used to contaminate [=pollute] the water. Take care to prevent bacterial contamination of the wound. Avoid touching the microchip as your hands' oil will taint it. Make sure that no other color have gotten on the white paint.
How does contamination happen?Food preparation on a place that still has residues on it or the use of cleaning agents in close proximity to exposed food can both result in contamination. Before food even enters the kitchen, it may become polluted by chemicals.
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if you double the radius what happens to the velocity of the object?
The stated assertion states that if you twice the radius, the object's velocity will be cut in half.
How does velocity get its name?Thus, velocity is measured in metres per second, or m/s. The metric speed unit is the metre per s (m/s). A different way to describe velocity magnitude is in centimeters per second (cm/s).
According to the following equation: v = r * ω, where v is movement, r is radius, and is angular velocity, velocity in a circle in physics is determined by the radius. In order to keep the angular velocity constant, you must reduce the velocity by half if the radius doubles.
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relating properties of radio waves to technology which property best makes radio waves safe for diagnosing illnesses through magnetic resonance imaging? which property best makes radio waves useful for space research?
Radio waves are non-ionizing, which makes them safe for MRI imaging in the medical field and beneficial for space exploration due to their ability to penetrate atmospheres.
The explanation for the above answer;
There are a number of characteristics of radio waves that make them valuable in many applications.
Radio waves' non-ionizing quality, as it relates to magnetic resonance imaging (MRI), makes them safe for use in medical diagnosis. Since radio waves are low energy and lack the power to ionize atoms or molecules, they cannot harm living things. This qualifies them for use in medical imaging, such as MRI, which produces precise images of inside organs and tissues.
The capacity of radio waves to pass through the Earth's atmosphere makes them handy for space research. Radio waves can communicate with spacecraft and can be used to investigate the Earth's atmosphere and the cosmos beyond since they can pass through the atmosphere and be reflected by the ionosphere. By detecting their radio emissions, radio waves may also be utilized to examine astronomical objects like stars and galaxies.
In conclusion, radio waves are non-ionizing, safe for medical imaging, and beneficial for space exploration due to their ability to pass through the atmosphere.
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a positive test charge is placed at the center of a spherical gaussian surface. what happens to the net flux through the gaussian surface when the surface is replaced by a cube of the same volume whose center is at the same point? select all that apply
When the Gaussian surface is replaced with a cube of the same volume with the same center, the net flow across the surface remains constant.
What is gaussian surface?The Gaussian surface is a closed surface in three-dimensional space that may be used to compute the flux of a vector field. These vector fields might be gravitational fields, electric fields, or magnetic fields. A Gaussian surface is a three-dimensional enclosed surface used to calculate the flux of a vector field (gravitational field, the electric field, or magnetic field.) The Gaussian surface facilitates in calculating the intensity of the electric field gently due to the evenly dispersed charge. Any hypothetical closed surface's net electric flux is equal to 1/0 times the net electric charge enclosed inside that closed surface. The closed surface is also known as the Gaussian surface.
Here,
The net electric flux through any closed surface is proportional to the charge enclosed within the surface. Since the volume enclosed by both the spherical Gaussian surface and the cube is the same, the charge enclosed is also the same, and thus the net flux remains constant.
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a few different circuit elements (batteries, resistors, capacitors, etc.) are connected so that all of them are in parallel. what do all of them have in common?
The different circuit elements in parallel have the same voltage drop across them.
The key hallmark of parallel circuits is that the elements connected in parallel have the same voltage drop across them. It doesn’t matter if the circuit element is a resistor, capacitor, or an inductor, battery or diodes; the voltage drop across all elements is the same.
This means that the voltage across different circuit elements (batteries, resistors, capacitors, etc.) is the same. On the other hand, circuit elements connected in series have the same current flowing through them; however, they have different voltage drops.
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bluetooth headsets use microwave radiation with a wavelength of 12.04 cm. what is the frequency of this electromagnetic radiation (s -1 )?
The frequency of an electromagnetic wave is calculated using the formula f = c/λ, where c is the speed of light (2.9979 x 10^8 m/s) and λ is the wavelength (12.04 cm).
Therefore, the frequency of the microwaves emitted by a Bluetooth headset is 2.48 x 10^10 s-1.
The microwaves emitted by a Bluetooth headset are part of the electromagnetic spectrum, which is divided into different frequency bands. The microwaves used by Bluetooth headsets are in the ISM (Industrial, Scientific and Medical) band, which is specifically designed for devices that do not interfere with other communication systems or cause significant interference or harm.
The ISM band is located between 2.4 and 2.5 GHz, and the exact frequency of the microwaves emitted by a Bluetooth headset may vary slightly depending on the specific model.
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Sarah is building an electric motor whilst listening to
the radio. She notices that when she switches the
motor on, the radio makes clicking noises. Using
knowledge about how radio waves are produced,
state why the radio makes clicking noises.
The radio makes clicking noise due to distortion of radio wave.
What is distortion of wave?Distortion in signal processing is the modification of a signal's original form (or other feature). It refers to the modification of the waveform of an information-carrying signal in an electronic device or communication channel, such as an audio signal representing sound or a video signal representing images.
Because distortion is typically undesirable, engineers work to eliminate or reduce it. However, distortion could be desired in specific circumstances.
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a wheel 0.48 m in radius rotates at a constant rate of 120 rev/min. find the speed (in m/s) and the magnitude of the acceleration (in m/s2) of a small stone lodged in the tread of the tire (on its outer edge). hint
The speed of the small stone lodged in the tire is approximately 6.077 m/s and the magnitude of its acceleration is approximately 957.39 m/s^2.
First, we need to convert the rotational speed of the wheel from revolutions per minute (rev/min) to radians per second (rad/s).
w = (2 * pi * n) / 60
Where w is the angular velocity in rad/s, pi is the mathematical constant (3.14159), and n is the rotational speed in rev/min.
So,
w = (2 * pi * 120) / 60
= 2 * pi * 2
= 4 * pi rad/s
= 12.566 rad/s
The speed of a point at a distance r from the center of rotation is given by:
v = r * w
Where v is the speed and r is the distance from the center of rotation (0.48 m).
So,
v = 0.48 m * 12.566 rad/s
= 6.077 m/s
Finally, to calculate the magnitude of the acceleration of the small stone, we use the equation:
a = r * w^2
Where a is the magnitude of the acceleration.
So,
a = 0.48 m * (12.566 rad/s)^2
= 957.39 m/s^2
Rotational speed, also known as angular velocity, is a measure of the rate of change of the angular position of an object. It is expressed in units of radians per second (rad/s) or degrees per second (deg/s). In simpler terms, the rotational speed is how fast an object is rotating around its axis. The axis of rotation can be any line that passes through an object, and the direction of rotation is usually determined by the right-hand rule.
The rotational speed is a crucial concept in physics and engineering, as it affects the behavior of objects and systems. For example, the rotational speed of a car's wheels affects its speed and stability, while the rotational speed of a spinning top affects its stability and precession. In machinery, the rotational speed is an important factor in determining the efficiency and performance of equipment, such as turbines, generators, and motors.
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a meteroid is traveling east through the atmosphere at 18.3 km\s while descending at a rate of 11.5 l,\s. what is its speed
The meteoroid is traveling at a speed of 18.48 km/s.
The speed of the meteoroid is the vector sum of its eastward velocity (18.3 km/s) and its downward velocity (11.5 km/s). To calculate this, we can use the Pythagorean theorem:
Speed = √(18.3 km/s)² + (11.5 km/s)² = √(341.09 km²/s²) = 18.48 km/s
Therefore, the meteoroid is traveling at a speed of 18.48 km/s.
Speed is a measure of how quickly an object is moving in a certain direction. It is usually expressed in terms of distance traveled per unit of time, such as meters per second or miles per hour. Speed is the magnitude of velocity, which is the rate of change of an object's position in a particular direction. It is a scalar quantity, meaning that it has no direction associated with it.
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what will happen if no force is exerted on a moving object?
Explanation:
If no force is exerted on a moving object, it will continue to move at a constant velocity. This is described by Newton's first law of motion, which states that an object will remain at rest or continue to move at a constant velocity in a straight line unless acted upon by an external force. In other words, if no net force acts on an object, the object will maintain its velocity, neither speeding up nor slowing down.
a boy stands daydreaming as his friend runs by at the constant speed of 3.92 m/s. after 1.11 s, the boy decides to chase his friend and accelerates uniformly at 2.08 m/s2. assuming motion along a straight line, how far does the boy travel before he catches his friend?
The distance the child covered before catching up to his friend was 0.7 metres.
To find the distance the boy travels before he catches his friend,
we need to calculate the position of the boy as a function of time.
The velocity of the boy can be calculated as the sum of his initial velocity (0 m/s) and his acceleration multiplied by time:
v = at = (2.08 m/s^2) * (1.11 s)
= 2.3 m/s
The position of the boy as a function of time can then be calculated using the following equation:
x = x0 + v0t + (1/2)at^2
Where x0 is the initial position of the boy (assumed to be 0),
v0 is the initial velocity of the boy (0 m/s), and
t is the time elapsed (1.11 s).
Plugging in the values, we get:
x = (1/2)(2.08 m/s^2)(1.11 s)^2
= 0.7 m
So the boy has traveled 0.7 meters before he catches his friend.
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what is the microphone impedance of the yaesu ft-70dr?
The microphone impedance of the yaesu-ft-70 dr is 2kΩ and the antenna impedance is 50Ω.
Impedance is the opposition to the alternating current, arising from the combined effect of the ohmic resistance and reactance in the circuit. The unit of Impedance is the ohm. The Ft-70Dr is a compact system with a fusion transceiver providing both a conventional analog FM operation system and the advance C4FM digital mode.
It is built for commercial grade standard for Dust and water protection, making this radio suitable for hardest environment. The frequency of Ft-70Dr is 108MHz-580Mhz, and the output power is 5 watt, with microphone impedence of 2kΩ.
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is the normal force on an object equal to its mass times gravity? group of answer choices yes, always sometimes no, never
M represents the mass of the object that is sliding, g is the velocity caused by gravity, and is the angle of inclination. The product of gravity weight and the sine of the inclination angle is the normal force, or FN.
Do all objects experience the same level of gravity?Higher mass objects are subject to stronger gravity. Gravity lessens as distance increases as well. As a result, the closer two objects are to one another, the stronger their gravitational pull is. The Earth's mass is what generates gravity.
There is no force like gravity.The force of the spring, which the mass is subjected to when it is raised, is opposite and equal to the force of gravity. We can then conclude that the springs is equivalent to and resists the gravitational force because mass would otherwise be pulled by the net force.
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Under electrostatic conditions, an electric field intersects the surface of a conductor at a right angle. A. True B. False
True, An electric field contacts the face of a circuit at a straight angle when electrostatic forces are present.
What occurs when an electric field and electrostatic pressure are applied to a conductor?Only when there are both positive and negative charges present may electric field lines cross. When a conductor is electrostatically positioned in an electric field, the electric field was excluded from the conductor's interior.
Explain the need that an electromagnetic field line emerge from a conductor's surface at a straight angle.We now have a force acting on the electrons along the surface because the electric field pulls on the charges. Due to the unbalanced nature of this force, surface currents, or the movement of charges, will result. Therefore, the electric field must emerge perpendicular to surfaces to prevent this.
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Red light has a wavelength of 6.80x102 nm. The energy of a photon of Red light is (in J) ?
The energy of a photon of Red light is found to be [tex]2.92 \times 10^{-19}J.[/tex]
Is the energy of a photon the same as its momentum?Photons have momentum, which is determined by the equation p=h, where h is the planck's constant. The momentum and energy of photons are correlated by the formula p=Ec, where E=hf=hc.
What is a photon?A photon is a microscopic particle of electromagnetic energy that resembles a light particle. The photon's energy is influenced by its frequency. Photons are essentially electric fields traveling through space. Photons have no charge and no rest mass, and they move at the speed of light. Because a photon has no mass, its kinetic energy is the same as its total energy.
[tex]E = \frac{hc}{\lambda}[/tex]
h= Planck's constant =[tex]6.626 \times 10^{-34} Joule-sec[/tex]
c= Speed of light = [tex]3 \times 10^{8}m/s[/tex]
λ =[tex]6.8\times 10^{2} \times 10^{-9}m[/tex]
E = [tex]6.626 \times 10^{-34} times 3 \times 10^{8}/ 6.8 \times 10^2 \times 10^-9 = 2.92\times10^{-19}J[/tex]
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heather and jerry are standing on a bridge 60 m above a river. heather throws a rock straight down with a speed of 17 m/s. jerry, at exactly the same instant of time, throws a rock straight up with the same speed. ignore air resistance. how much time elapses between the first splash and the second splash?
Time elapses between the first splash and the second splash is 4.08 seconds
Jerry throws his rock up at 20 m/s. It will decelerate at the rate of 9.8 m/s^2, until it's velocity reaches zero. At that time it will reach apogee, and begin falling. So (20 m/s)/(9.8m/s^2) = 2.04 seconds To reach max height.
After 2.04 seconds it will begin accelerating downward, again by 9.8m/ s^2. So after another 2.04 seconds, it will be at the starting point, traveling at 20 m/ s. It will then follow the same time path as Heather's rock.
So Jerry's rock will take 4.08 seconds longer than Heather's to hit the water. The height above the water is not necessary information for this problem.
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a 3-kg plastic tank that has a volume of 0.2 m3 is filled with liquid water. assuming the density of water is 1000 kg/m3, determine the weight in newtons of the combined system.
Liquid water is placed into a 3-kg polyethylene tank with a 0.2-m3 volume. Calculate the weight of a simulation model using the assumption that water has a density of 1000 kg/m3.
Describe the liquid state.
Liquid state is an alternative title. In physics, liquid is one of the three fundamental states of matter and is a transitional state between a crystalline solid and a gas. The volume retention and conformity to the form of a liquid's container are two of its most noticeable physical characteristics.
What characteristics do liquids possess physically?
liquids' physical characteristics. In addition, whenever a liquid is moved through one container to another, it keeps its volume but loses its shape (as far as there is no evaporation or temperature change). These characteristics make it simple to distinguish between the liquid state and the gaseous and solid states.
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fozzie is looking in a 10-cm-tall fragment of a mirror (hanging vertically) at his dog food bag behind him, which just fills the vertical extent of the mirror. he knows that his dog food bag is 0.5 meters tall and he is 0.25 meters from the mirror. how far behind fozzie is his dog food bag? (use fozzie's eyes as the reference point for distances.)
dog food bag behind him in a 10-cm-tall fragment of a mirror. He knows his dog food bag is 0.5 meter's tall and he is 0.25 meter's away from the mirror. Fozzie's dog food bag is x=0.75m behind him.
given,
height of the mirror,h=10cm=0.1m
the distance between the observer and mirror S₁=0.25
height of the dog food bag, H=0.5m
in ΔOAB and ΔA¹B¹
OA/OA¹=h/H=AB/A¹B¹
S₁/ S₁+S₂=h/H
0.25/0.25+S₂=0.1/0.5
S₂=1m
the position of bag behind fozzie
x=S₂-S₁
x=1-0.25 m
x=0.75m => behind fozzie
A portion that has been severed or separated from another object is known as a fragment. The term "fragment" typically refers to a part that has broken off rather than one that has been softly or purposefully detached, as in The vase was smashed into a million fragments. A bone fragment is a piece of a bone that has been chipped off, often in a minor amount. Another definition of the word "fragment" is "a section or portion of something that is incomplete or separated from the total," such as a scene from a film or a musical composition. The word "fragment" can also refer to a portion, little, or scrap (regardless of whether it has been removed from a larger part).
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How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?
The required velocity of mass 100 kg is 3.75 m/s.
What is the required velocity of the mass 100 kg?
The required velocity of mass 100 kg is determined by applying the principle of conservation of linear momentum as follows;
This principle states that in an isolated or closed system, the sum of the initial momentum of an object is equal to the sum of the final momentum.
momentum of the 100 kg mass = momentum of 150 kg mass
100 kg x v = 150 kg x 2.5 m/s
v = ( 375 kg m/s ) / ( 100 kg )
v = 3.75 m/s
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The complete question is below:
A mass of 150 kg is moving 2.5 m/s. How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?
earth has a mass of 5.98 x 10 24 kg. the average mass of the atoms that make up earth is 40 u. how many atoms are there in earth?
Using average mass of earth, there are approximately [tex]1.495 \times 10^{50} $atoms$[/tex] in Earth.
What connection exists between an object's mass and its atom count?An object's mass and number of atoms are directly proportional to one another. The number of atoms in an object increases as its mass increases, and the opposite is also true.
You may determine an object's atomic composition by dividing its mass by the average mass of its constituent atoms. Since the average mass of the atoms in the earth is 40 u and its mass is [tex]5.98 x 10^{24} kg[/tex], it is possible to calculate the number of atoms in the earth by dividing its mass by the average mass of its atoms.
We can determine the total number of atoms in an object using this approach.
The number of atoms in Earth can be calculated by dividing the total mass of Earth by the average mass of an atom.
Using the given information, we get:
[tex]5.98 \times 10^{24} kg / 40 u \\= 1.495 \times 10^{50} atoms.[/tex]
Therefore, there are approximately [tex]1.495 \times 10^{50} $atoms$[/tex] in Earth.
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a cd has diameter of 130 millimeters. when playing audio, the angular speed varies to keep the linear speed constant where the disc is being read. when reading along the outer edge of the disc, the angular speed is about 220 rpm (revolutions per minute). find the linear speed.
The linear speed of the cd is 353.8 m/s. The result is obtained by using the equation of angular speed in relation to linear speed.
What is angular speed?An angular speed is a speed of an object in rotational motion. The angular speed in relation to linear speed is
ω = vr
Where
ω = angular speedv = linear velocityr = radius of a circleA cd is in a rotational motion. It has angular and linear speed.
Diameter, d = 130 mmAngular speed, ω = 220 rpmFind the linear speed!
The radius of the cd is
r = ½d
r = ½(130) mm
r = 65 mm
r = 0.065 m
We change the unit of angular speed to rad/s.
ω = 220 rpm
ω = 220 × 2π/60 rad/s
ω = 7.33π rad/s
The linear speed will be
ω = vr
7.33π = v(0.065)
v = 23/0.065
v = 353.8 m/s
Hence, the cd has the linear speed of 353.8 m/s.
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