a cylinder measuring wide and high is filled with gas and the piston pushed down with a steady force.calculate the force on the piston if the pressure in the gas is measured to be . write your answer in units of kilonewtons. round your answer to significant digits.
Gas is poured into a cylinder that is 6.3 cm high and 5.3 cm wide, and a steady force is used to push the piston downward. If the gas pressure is 465 kPa, determine the force acting on the piston.
What distinguishes a steady flow from an irregular flow?
The two main types of flow are steady flow and unstable flow. The speed at a given site must not change over time for constant flow to occur. Or to put it in another way, v t = 0. However, as time passes, the unstable flow's velocity will alter. Because of this, it is typically significantly harder to examine a situation where unstable flow is present.
What does stable flight mean?
A specific instance of flight dynamics is known as steady flight, one after flight, or equilibrium flight, where the aircraft's horizontal and vertical velocities are stable in a body-fixed region of space. Stable flight maneuvers can be used to represent simple aircraft maneuvers including straight and level, climb and descents, and planned rotations.
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A fire engine is moving at 40 m/s and sounding its
horn. A car in front of the fire engine is moving at
30 m/s, and a van in front of the car is stationary.
Which observer hears the fire engine's horn at a
higher pitch, the driver of the car or the driver of
the van?
The driver of the van will hear a higher pitch due to his higher relative velocity.
What is relative velocity?The relative velocity of an object is the velocity of the object with respect to a stationary observer.
If a fire engine is moving at 40 m/s and sounding its horn. Also if A car in front of the fire engine is moving at 30 m/s, and a van in front of the car is stationary.
The relative velocity of the stationary van is calculated as;
Vv = -40m/s - 30 m/s = - 70 m/s
The driver of the van will hear a higher pitch since his combined relative velocity of both cars is 70 m/s.
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What if an object traveled form position -6m to -1m what is the distance and displacement
In unidirectional, the distance and displacement are the same which is equal to 5 meters.
What are displacement and distance?A displacement is a vector in engineering and mechanics that has a length equal to the shortest route between a point P's initial and final positions. The displacement is the vector quantity that depends on the magnitude as well as direction. And follows the law of vector addition.
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance is a scalar quantity.
An object traveled from position -6m to -1m.
The distance will be given as,
Distance = - 1 + 6
Distance = 5 meters
The displacement is given as,
Displacement = - 1 + 6
Displacement = 5 meters
The distance and displacement are the same in the given cases which is 5 meters.
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significant figures, or 'sig figs' for short, are important for understanding the precision of a measurement device. if a measurement device, such as a speed sensor, measures 12.34 m/s, how many sig figs does that measurement contain?
The speed is given as 12.34 m/s. It contains 4 number of significant figures or sig figs.
The speed sensor measures the speed as 12.34 m/s.
The initial uncertain or estimated digit and all the digits known with certainty are referred to as the important figures of a measured amount. The first unknown digit is the last digit recorded in a measurement since it makes no sense to report any additional digits after it. When necessary, zeros are utilised to position the important figures correctly.
From the rules for deciding which digits in a measurement are significant, it is said that all non-zero digits in a measurement are significant.
12.34 m/s - contains all non-zero digits
Thus, it contains 4 sig figs.
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which describes the vector calculation of the electric flux through a section of a closed surface?
The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.
The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field.
What is electric flux?
An electric field surrounds an electric charge, such as a solitary electron in space.This electric field is represented graphically as a dot, the charge, emitting "lines of flux."They are referred to as Gauss lines.Please take note that field lines have no physical significance and are merely a graphic representation of field strength and direction.The number of "lines" per unit area, also known as the electric flux density, is inversely proportional to the electric field strength.To know more about electric flux, click the link given below:
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the position of a wind-up toy is given by: over the domain of {0 s < < 1 s}, where is in m, and is in s. what is the maximum speed of the toy?
The maximum speed of the wind-up toy is 9.33 m/s.
To find the maximum speed of the toy, we need to find the first derivative of the position function and then find the maximum value of that derivative. The first derivative of x(t) is:
dx/dt = 2t(1 + 7t - 12t^2 + 5t^3) + t^2(7 - 24t + 15t^2)
Next, we need to find the maximum value of this derivative function over the given domain. To do this, we can set the derivative equal to zero and solve for t, then check the values of the derivative at those points to see if they correspond to a maximum or minimum.
Setting the derivative equal to zero:
0 = 2t(1 + 7t - 12t^2 + 5t^3) + t^2(7 - 24t + 15t^2)
Solving for t, we find that t = 0 and t = 1/3. These two values correspond to the minimum and maximum speeds of the toy, respectively.
Finally, we can evaluate the derivative at t = 1/3 to find the maximum speed:
dx/dt = 2(1/3)(1 + 7(1/3) - 12(1/3)^2 + 5(1/3)^3) + (1/3)^2(7 - 24(1/3) + 15(1/3)^2)
Evaluating the expression, we get:
dx/dt = 2(1/3)(1 + 7(1/3) - 12(1/3)^2 + 5(1/3)^3) + (1/3)^2(7 - 24(1/3) + 15(1/3)^2)
= 2(1/3)(1 + 7(1/3) - 12(1/3)^2 + 5(1/3)^3) + (1/3)^2(7 - 8 + 5)
= 2(1/3)(1 + 7/3 - 4 + 5/3) + (1/3)^2(12)
= 2(1/3)(12/3) + (1/3)^2(12)
= 24/3 + 4/3
= 28/3
The maximum speed of the wind-up toy is approximately 3.72 m/s.
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The complete question is:
The position of a wind-up toy is given by: x(t)= t^2(1+7t-12t^2+5t^3) over the domain of {0s < t < 1s}, where x is in m, and t is in s. what is the maximum speed of the toy?
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what are the possible values for mell when the principal quantum number (n) is 2 and the angular momentum quantum number (ell) is 0?
When the angular momentum quantum number (ell) is zero and the primary quantum number (n) is two, the only feasible value for m cell is zero.
The orbital's size is defined by the main quantum number (n). For example, bigger orbitals are possible for n = 2 than for n = 1. Electrons are drawn to the atomic nucleus of an atom because of their opposing electrical charges. Consequently, energy must be absorbed to excite an electron from an orbital where it is close to the nucleus (n = 1) into an orbital where it is distant from the nucleus (n = 2). A orbital's energy is therefore indirectly described by the primary quantum number.
The geometry of the orbital is defined by the angular quantum number (l). Spherical (l = 0), polar (l = 1), or cloverleaf (l = 2) are the best descriptions for the forms of orbitals.
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a hockey puck is sliding across a level frozen pond with an initial speed of 6.7 m/s. friction is not negligible, and it comes to rest after sliding a distance of 15.356 m. what is the coefficient of kinetic friction between the puck and the ice?
The required coefficient of kinetic friction between the puck and the ice is calculated to be 0.15.
The initial speed v₀ = 6.7 m/s
Displacement s = 15.356 m
From the equations of motion:
v² - u² = 2 a s
where,
v is the final velocity
u is initial velocity
a is acceleration
s is displacement
Making a as subject,
a = (v² - u²)/2s = (0 - 6.7²)/(2×15.356) = -44.89/30.712 = -1.46 m/s²
The formula for friction is known to be,
F = - μ N (Negative sign indicates the friction is opposite to motion)
where,
N is normal reaction force (N = m g)
μ is coefficient of kinetic friction
m a = - μ m g
a = - μ g
So, μ = -a/g = 1.46/9.8 = 0.15
Thus, the coefficient of kinetic friction between the puck and the ice is calculated to be 0.15.
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write the definition of a function powerto which receives two parameters
The function is as follows,
def toThePowerOf(base, power):
result = 1
for i in range(power):
result *= base
return result
This function accepts two integer parameters, base and power, and returns the value of base raised to the power of power. It uses a simple loop to multiply base by itself power times, then returns the final result. For example, calling toThePowerOf(2, 3) would return 8, since 2^3 = 8. The function is written which takes two parameters and returns the first number raised to the power of other number.
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if the cart's mass is 3.0 kg , the applied force is 12.8 n , and the friction force is 5.2 n , find the cart's acceleration.
The cart is 2.533 m/s2, for acceleration.
Newton's second law of motion provides the definition of the force formula. You must use SI units in order to apply this formula. Calculate the force in Newtons, the mass in kilograms, and the acceleration in square meters per second. This is what the formula means: Mass (kg) times acceleration (m/s2) equals force (N). When a force is applied, an object with constant mass accelerates in proportion.
3 kg of mass is given.
The difference between the applied force and the friction force, which is 12.8 - 5.2 = 7.6 N, determines the net force. Acceleration is calculated as Force/Mass, which is 7.6 / 3 = 2.533 m/s2.
As a result, the acceleration is equal to 2.533 m/s2.
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One energy law states that energy cannot be created or destroyed; it can only:________
One energy law which is known as the Law of Conservation of Energy states that energy cannot be created or destroyed; it can only be transformed from one form to another.
This law is known as the Law of Conservation of Energy. The Law of Conservation of Energy is a fundamental concept in physics that states that energy cannot be created or destroyed, but it can only be transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time, even though the energy may change form. For example, the energy from a moving object can be transformed into heat when it collides with a surface, or the energy from a chemical reaction can be transformed into electrical energy in a battery. The law of conservation of energy is one of the most important principles in physics and underlies many natural processes and technologies.
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move your arms in a freestyle swimming motion. feel the tension of the muscle in your back, towards your sides. this is the .
When doing the free stroke, the arms alternate movements. While the other arm extends forward and pulls towards the hip underwater.
How do movements work?Generally speaking, movement is the act of shifting one's position from The act of moving, a change in position or posture, the transferring of a situation from one to another using any method, natural or proper motion, progress, or progression. Examples include the motion of an army while marching or the motion of a wheels or a machine.
What does motion mean?Motion is the gradual change in an object's position over time. Movement, distance, velocity, acceleration, time, and speed are all used to define motion. Motion is the modification of position.
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a radio telescope and an optical telescope of the same diameter have the same angular resolution. group of answer choices true false
False; an optical and radio telescope with the same diameter will have the same angular resolution.
Using a radio receiver and an antenna system, a radio telescope may detect radio-frequency radiation from extraterrestrial sources, such as stars, galaxies, and quasars, that have wavelengths between about 10 meters (30 megahertz [MHz]) to 1 mm (300 gigahertz [GHz]). (See radio astronomy and radar.)
In 1933, Bell Telephone Laboratories engineer Karl Jansky discovered extraterrestrial radio emission while investigating the root of shortwave interference. In order to be able to direct the antenna at various points in the sky to identify the direction of the conflicting signals, Jansky put a directional radio antenna on a turntable. He identified a source of radio "noise" in addition to detecting interference from far-off thunderstorms.
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what are the lowest frequency the second lowest frequency, and the third lowest frequency for standing waves on a wire that is
The fundamental frequency, or first harmonic, is the lowest frequency at which a string might vibrate and produce a standing wave pattern.
What are the names of the peaks and troughs of a standing wave?In the transverse situation, traveling waves have high points called crests and low points called troughs. In the longitudinal case, traveling waves have compressed points called compressions and stretched points called rarefactions.
What frequency does a standing wave have?Through the equation f = v, where v represents the speed of the waves along the string, wavelength and frequency are connected. The frequency increases with decreasing wavelength for a given value of v.
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the rotational inertia of a wheel about its axle does not depend upon its: group of answer choices diameter mass distribution of mass speed of rotation material composition
The material composition of the wheel can affect its density and hence its mass, but it does not directly affect the rotational inertia. However, the strength and other material properties of the wheel can indirectly affect the rotational inertia by affecting the thickness and shape of the wheel.
What is the rotation?
Rotation is the process of turning an object around a fixed point or axis. This can refer to physical objects, where the object is rotated on the ground or an axis, or in the case of a 3D object, it can refer to the object's orientation in space. The rotation can be in any direction, either clockwise or counterclockwise.. In addition, rotation can be used to describe the movement of a mathematical equation or graph around a point or axis.
The rotational inertia of a wheel about its axle does not depend upon its mass distribution or speed of rotation.
The rotational inertia (also called moment of inertia) of a wheel depends only on its mass, diameter, and the way its mass is distributed around its circumference. Specifically, the rotational inertia of a wheel is proportional to the square of its radius and the mass of the wheel. The distribution of mass around the circumference affects the way the mass is concentrated with respect to the axis of rotation, but does not affect the total rotational inertia.
The material composition of the wheel can affect its density and hence its mass, but it does not directly affect the rotational inertia. However, the strength and other material properties of the wheel can indirectly affect the rotational inertia by affecting the thickness and shape of the wheel.
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A 1=2.40 μF
capacitor is first charged by being connected across a battery with voltage b=8.00 V.
It is then disconnected from the battery and connected across an uncharged capacitor with capacitance 2=5.60 μF.
Calculate the final charge 1,f
and 2,f
on 1
and 2,
respectively.
The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.
What do you mean by charge ?When placed in an electromagnetic field, the physical property of matter known as electric charge causes it to experience a force.
Positive and negative electric charges are the two types of charges that charge carriers, protons and electrons, commonly carry. The movement of charges produces energy.
The initial charge on the first capacitor, 1, can be calculated using the formula as follows:
Q = C × V
where,
Q is the charge,
C is the capacitance, and
V is the voltage.
By substituting the values, we get:
Q = 2.40 μF × 8.00 V
= 19.2 μC
Let's call the final charge on the first capacitor 1,f and the final charge on the second capacitor 2,f.
So, the two capacitors are now connected in parallel, their equivalent capacitance is C_eq :
C_eq = C1 + C2
C_eq = 2.40 μF + 5.60 μF
= 8.00 μF
The final charge on the equivalent capacitance is equal to the initial charge on the first capacitor,
Q_eq = Q1,f = 19.2 μC
From this, we can calculate the final charge on each capacitor:
Q1,f = (C1 / C_eq) × Q_eq
Q1,f = (2.40 μF / 8.00 μF) × 19.2 μC
= 7.20 μC
Q2,f = (C2 / C_eq) × Q_eq
Q2,f = (5.60 μF / 8.00 μF) × 19.2 μC
= 12.00 μC
Thus, The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.
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if a world-class sprinter ran a distance of 100 m starting at his top speed of 8 m/s and running with constant speed throughout, how long would it take him to cover the distance?
The sprinter's time to complete the 100 metres would be 9.09 seconds if he ran at a steady speed of 11 m/s.
What does continuous speed mean?The term "constant speed" refers to a moving object that covers the same distance in the same amount of time. A moving object covers a fixed distance in a fixed amount of time when moving at a steady pace. S = dt is a valid expression for the speed equation.
What does a constant velocity and speed mean?An object needs to be moving at a constant speed and in the same direction to have a constant velocity. The object is forced to move in a straight line by constant direction. Consequently, mobility along a straight line at a constant speed
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pablo is standing on the beach, and the sea is choppy. he observes that the crests of distant waves appear not only smaller but also higher in his field of vision than do the crests of waves nearer the beach. this example illustrates the monocular depth cues of:
The relative size and relative height monocular depth cues are demonstrated in this example.
What is the name for the inability to recognize changes in the fine elements of a visual scene?
Change blindness is the inability of observers to detect changes in a visual scene, especially when the change is simultaneous with a brief interruption of the view (Rensink et al., 1997)
What is the name for the phenomenon of failing to detect objects that are not the focus of attention?
We assume that significant things in our world will instantly catch our attention, but this isn't always the case, especially when our attention is diverted by something else. Inattentional blindness is the term used to describe the failure to perceive unexpected objects or events while attention is diverted elsewhere.
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1.What observations have you made about determining ages of rocks and fossils?
2.How do scientific principles explain your observations and how does it support your claim?
In summary, the observations about determining ages of rocks and fossils are based on scientific principles such as radioactive decay, superposition, and original horizontality.
What is scientific principle?A scientific principle is a fundamental concept or law that explains how the natural world works. It is a statement based on empirical evidence and repeated observations that is widely accepted by the scientific community as a fundamental truth. Scientific principles provide a framework for understanding and explaining natural phenomena, and they form the basis for scientific research and discovery.
Examples of scientific principles include:
The law of conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another.
The theory of evolution, which explains how species change over time through natural selection and genetic variation.
The law of gravity, which explains the attraction between objects with mass and their impact on space-time.
The principle of relativity, which explains how the laws of physics are the same for all observers in uniform motion relative to each other.
Scientific principles are subject to change and refinement as new evidence and discoveries are made, but they provide a reliable foundation for scientific inquiry and understanding.
Here,
1. Observations about determining ages of rocks and fossils:
Scientists use a variety of methods to determine the ages of rocks and fossils, such as radiometric dating, relative dating, and stratigraphy.
Radiometric dating involves measuring the decay of radioactive isotopes in rocks or fossils, which provides an estimate of the time elapsed since the material was last heated or exposed to sunlight.
Relative dating involves comparing the ages of rocks or fossils based on their position in relation to one another.
Stratigraphy involves studying the layers of rock or sedimentary deposits to determine the relative ages of the materials.
2. Explanation based on scientific principles:
Radiometric dating is based on the principle of radioactive decay, which is the spontaneous breakdown of atomic nuclei into smaller particles over time. The rate of decay is constant, which allows scientists to use the amount of remaining radioactive material to estimate the time elapsed since the material was last heated or exposed to sunlight.
Relative dating is based on the principle of superposition, which states that the oldest rocks or fossils are found at the bottom of a sequence, while the youngest rocks or fossils are found at the top. By comparing the ages of rocks or fossils in different layers, scientists can determine their relative ages.
Stratigraphy is based on the principle of original horizontality, which states that sedimentary layers are deposited in horizontal layers. By studying the layers of rock or sedimentary deposits, scientists can determine the relative ages of the materials based on their position.
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the principle that explains the scattering of shortwave radiation and accounts for earth's blue sky is question 36 options: rayleigh scattering. transmission. mie scattering. refraction.
"The principle that explains the scattering of shortwave radiation and accounts for earth's blue sky is rayleigh scattering."
Rayleigh scattering is the scattering of light by particles available in the atmosphere. According to Rayleigh's scattering law, the quantity of scattering of the light is inversely proportional to the fourth power of the wavelength.
As the wavelength of light falls, Rayleigh scattering, caused by these tiny air molecules, increases. The wavelengths of violet and blue light are the shortest, whereas red light has the longest. The sky appears blue during the day because blue light is scattered more than red light.
The theory of Rayleigh scattering can be used to explain how air molecules, tiny particles, microwave radiation from clouds, and raindrops scatter UV and visible light.
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a transformer is required to give 120 volt from 240 volt mains. if they primary has 5,500 tons how many turn s has the secondary
Answer:
Explanation:
The turns ratio between the primary and secondary of a transformer can be calculated as follows:
Turns ratio = Secondary voltage / Primary voltage
So, in this case:
Turns ratio = 120V / 240V = 1/2
Since the turns ratio is the ratio of the number of turns in the secondary to the number of turns in the primary, the number of turns in the secondary can be found by:
Secondary turns = Primary turns / Turns ratio
In this case, with a primary of 5,500 turns:
Secondary turns = 5,500 turns / (1/2) = 11,000 turns.
So the secondary has 11,000 turns.
a converging lens has a focal length of 4.8 cm. an object is placed 3.1 cm from the lens. a. draw the rays tracing diagram to locate the image. is the image real or virtual?
The image is inverted compared to the object, which means it is a real image.
To draw the ray diagram,
Draw the principal axis and mark the optical center of the lens.
Draw a vertical line to represent the object, and place it 3.1 cm to the left of the lens.
Draw two rays from the top and bottom of the object, parallel to the principal axis, and refract them through the lens so that they converge at a point on the principal axis.
Draw a third ray from the top of the object, passing through the focal point of the lens, and refract it so that it becomes parallel to the principal axis.
Where the refracted rays intersect is the location of the image. Draw the image as a vertical arrow on the opposite side of the lens to the object.
Based on the diagram, we can see that the image is located on the opposite side of the lens to the object, and is smaller than the object.
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1) what is the power output in watts of an incandescent light bulb which puts out 100 joules of energy every 1 second
2) why does a 100 watt light bulb look brighter than a 60 watt light bulb ?
1. The power output in watts of an incandescent light bulb can be calculated by dividing the energy output (in joules) by the time interval (in seconds) during which the energy is produced.
In this case, the light bulb is producing 100 J of energy every 1 second, so the power output can be calculated as:
Power output (P) = Energy output (E) / Time interval (t) = 100 J / 1 second = 100 Watts
2. A 100-watt light bulb looks brighter than a 60-watt light bulb because it produces more energy and therefore emits more light. The brightness of a light bulb is directly proportional to the energy it produces.
A 100-watt light bulb produces more energy (and therefore light) than a 60-watt light bulb, so it appears brighter.
However, it is important to note that the perceived brightness of a light bulb can also be affected by other factors such as the color temperature of the light, the size of the bulb, and the reflectiveness of the surrounding area.
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HURRY I NEED HELP Question 15 of 25 In which phenomenon does light act as particles? O A. Constructive interference
B. Blackbody radiation
O C. Diffraction
D. Double-slit experiment SIMIT
Blackbody radiation is a phenomenon that exhibit particle nature of light. Correct option is (B).
(a) Interference is a phenomenon in which two waves of same frequency superpose to give resultant intensity different from sum of their separate intensity. So, it cannot exhibit particle's nature of light.
(b) Blackbody radiation is a theoretical concept in quantum mechanics in which a material or substance completely absorbs all frequencies of light. It exhibit particle nature of light.
(c) Diffraction is a phenomenon in which light bends at sharp ends of an obstacle or a hole. So, it also cannot exhibit particle's nature of light.
(d) The double-slit experiment is a demonstration that light and matter can display characteristics of both classically defined waves and particles.
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starting from rest, a car accelerates at a rate of 6 m/s2 for 3.7 seconds. what is its velocity at the end of this time?
The required velocity at the end of 3.7 sec, when acceleration of the car is given is calculated to be 22.2 m/s.
It is said that the car is starting from stationary position. So, initial velocity u = 0.
Acceleration of the car is given as, a = 6 m/s²
Time taken t = 3.7 sec
The velocity at the end of this time is to be found out.
v = ?
We know the expression for acceleration as,
a = (v - u)/t
Making v as subject, we have,
v - u = a t
v = u + a t = 0 + 6(3.7) = 22.2 m/s
Thus, the velocity at the end of 3.7 sec is calculated to be 22.2 m/s.
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Matter moves ( up & down / left& right ) when the energy moves from left to right
The individual coils of the medium will be moved above and downwards as the energy moves from left to right. The movement of the medium's particles is opposite to the direction of the pulse.
How do matter and energy move when they're riding an up-and-down wave?The particles slow down as they go upward or downward towards the wave crest or trough, respectively, from their normal position. This indicates that kinetic energy has been partially transformed into potential energy.
Do waves simply move objects up and down or also in a lateral direction?Many people believe that water waves force water in one direction and then push it in another. However, in practise, the water vapour tends to concentrate in one place.
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a standing sound wave is created by holding a vibrating tuning fork with frequency 4200 hz 4200hz4200, start text, h, z, end text near the open end of a tube. which is the next lowest frequency that can also exist for a standing wave in this tube?
Next lowest frequency that can exist for a standing wave in this tube is approximately 667 Hz.
f = (1/4L) * (3c/2)
The wavelength of a sound wave in air is given by:
λ = c/f
where c is the speed & f is the frequency of the sound wave.
For a sound wave with a frequency of 4200 Hz, the wavelength in air is:
λ = c/f = 343 m/s / 4200 Hz ≈ 0.082 m
2L = 2λ
L = λ
Therefore, the length of the tube that corresponds to the next lowest frequency is approximately 0.082 m.
f = (1/4L) * (3c/2) = (1/40.082) * (3343/2) ≈ 667 Hz
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Answer:
3000 Hz
Explanation:
Khan Academy
an aluminum wire having a cross-sectional area equal to 6.00 10-6 m2 carries a current of 6.50 a. the density of aluminum is 2.70 g/cm3. assume each aluminum atom supplies one conduction electron per atom. find the drift speed of the electrons in the wire.
The drift speed of the electrons in the aluminum wire is 9.32 x 10¹⁹ meters per second.
The drift speed of electrons in a wire can be calculated using the equation:
drift speed = current / (charge density x cross-sectional area)
where charge density is the number of charges per unit volume and is given by:
charge density = current / (number of electrons per atom x drift speed x cross-sectional area)
Since each aluminum atom supplies one conduction electron per atom, the number of electrons per atom is equal to Avogadro's number (NA) and can be calculated as follows:
number of electrons per atom = NA = 6.022 x 10²³ atoms/mol
The number of moles of aluminum in the wire can be calculated using the density and the cross-sectional area:
number of moles = mass / (density x molar mass)
where mass = volume x density and volume = cross-sectional area x length
mass = cross-sectional area x length x density
number of moles = cross-sectional area x length x density / (density x molar mass)
= cross-sectional area x length / molar mass
Finally, the charge density can be calculated:
charge density = current / (number of electrons per atom x drift speed x cross-sectional area)
= current / (NA x drift speed x cross-sectional area)
Substituting this into the equation for drift speed:
drift speed = current / (charge density x cross-sectional area)
= current / (current / (NA x drift speed x cross-sectional area) x cross-sectional area)
= NA x drift speed / current
So, we have a simple equation:
drift speed = NA / current = 6.022 x 10²³ atoms/mol / 6.50 A
drift speed = 9.32 x 10¹⁹ m/s
So, the drift speed of the electrons in the aluminum wire is 9.32 x 10¹⁹ meters per second.
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you want to cross a river that is 30 m wide and flows to the east at 1.0 m/s . you can swim at a speed of 6.0 m/s (relative to the water). if you start from the south side of the river and want to go straight across, at what angle should you point yourself?
The angle that the swimmer must orient himself at can be calculated using basic mechanics as follows: (roughly west of north.)
Can a swimmer use velocity V to swim in still water?
A swimmer can swim at speed v in calm water and at speed v2 in a river that is flowing. He should swim making an angle with the upstream in order to cross the river in the smallest amount of time.
What is the source of the river's enquiring town's response?
The town of Curious Town is really unusual. The frog goes up a tree in the town, the puppies meow, the kitten barks, the river is flowing, and the volcano is covered in dew. There are more than eight hues in the rainbow in the strange town, yet only two in a week.
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when the james webb space telescope is finally launched, what will be its distinguishing characteristic (what about it will really help astronomers)?
JWST's sensitive infrared capabilities, large sunshield, large mirror, and high resolution imaging capabilities will greatly enhance the ability of astronomers to study the universe and make new discoveries.
The James Webb Space Telescope (JWST), set to be launched in the near future, will have several distinguishing characteristics that will greatly benefit astronomers.
Here are a few of the most significant:
Infrared Capabilities: JWST will have much more sensitive infrared capabilities compared to its predecessor, the Hubble Space Telescope. This will allow it to observe the universe in a different light, enabling astronomers to study distant objects that are obscured by dust and gas.Sunshield: JWST will be equipped with a large sunshield that will protect its mirrors and scientific instruments from the heat and light of the sun. This will enable it to make observations in the infrared range with much greater sensitivity and accuracy.Larger Mirror: JWST has a much larger mirror than Hubble, which will allow it to gather more light and make more detailed observations of distant objects. This will enable astronomers to study the universe in greater detail and with greater precision.High Resolution Imaging: JWST's advanced imaging capabilities will allow it to produce images with much higher resolution than the Hubble Space Telescope. This will enable astronomers to study distant objects in greater detail and to make more accurate measurements of their properties.Overall, JWST's sensitive infrared capabilities, large sunshield, large mirror, and high resolution imaging capabilities will greatly enhance the ability of astronomers to study the universe and make new discoveries. These advances will allow astronomers to probe the secrets of the universe in ways that were previously impossible.
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