The force needed to keep a 2600-pound car from skidding on a curve of radius 650 at is 640 pounds.
The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed.
The same force would keep the same car from skidding on a curve of radius at , because:
1) The force is inversely proportional to radius. If one goes up, the other goes down.
2) The force is jointly proportional to weight and square speed. If one goes up, so does another; if one goes down, so does another.
3) 1600 pounds will keep a 2600-pound car from skidding on both curves--the force does not depend on which curve you're talking about!
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an ideal spring is used to stop blocks as they slide along a table without friction. a 0.90 kg block traveling at a speed of 2.4 m/s can be stopped over a distance of 0.14 m once it makes contact with the spring. a rectangular block on a level surface moves at velocity v to the right towards a spring that rests on the surface and is attached to a fixed mount on the right. what distance would a 1.15 kg block travel after making contact with the spring if the block is traveling at a speed of 3.6 m/s before it makes contact with the spring?
The distance moved by the block as follows by using Law of conservation energy is 0.0173N/m.
Apply law of conservation energy is,
1/2m1v1^2 = 1/2 k1x1^2
k1 = m1 v1^2/x1^2
=117.5 N/m
1.15 Kg block :-
1/2m2v2^2 = 1/2 k1x2^2
x2 =[tex]\sqrt{m2v2^{2} }[/tex]/ k1
x2 = 0.0173 N/m
According to the law of conservation of energy, a system that isn't connected to any other system has a fixed amount of total energy that is considered to be preserved over time. Energy cannot be created or destroyed; it can only be transformed or transferred from one form to another, Traditionally, conservation of mass and energy were separate concepts. However, special relativity demonstrated how mass and energy are related to one another through the equation E = mc2, and as a result, science now holds that mass-energy are conserved as a whole. This implies that any mass-containing object can theoretically transform into pure energy and vice versa. However, it is thought that this is only feasible under the most extreme physical circumstances, such as those that probably existed in the universe right after the Big Bang or when black holes emit Hawking radiation.
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a horizontal spring with spring constant 250 nv/m is compressed 12 cm and used to launch a 250 g box across the floor. the coefficient of kinetic friction between the box and the floor is 0.23. what is the box's launch speed?
Therefore, the lunch speed of the box is 3.72m/s
What is kinetic friction ?
Kinetic friction is a force that exists between moving surfaces. A body moving on the surface is subjected to a force that is directed in the opposite direction of its movement. The size of the force is determined by the kinetic friction coefficient of the two materials.
Friction is simply the force that holds a sliding object back. Kinetic friction is present in everything and interferes with the motion of two or more objects. The force acts in the opposite direction of the object's desire to slide.
The integration of force due to spring with respect to spring is equal to the potential energy of the spring.
U=∫-Fdx
Here, U is the potential energy.
U= 1/2k[tex]x^{2}[/tex]
U= 1.8J
The final kinetic energy of the box is,
K= 1/2m[tex]v^{2}[/tex]
v=3.72m/s
The system's total potential energy equals the work done owing to kinetic friction. Using the law of conservation of energy, the sum of the energies obtained before compressing the spring equals the sum of energies obtained after expanding the spring.
Therefore, the lunch speed of the box is 3.72m/s
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one way to avoid emi problems is to . select one: a. run low-voltage cable close to power cables b. use fluorescent lights c. use ungrounded metal pathways d. terminate unused conductors at both ends
One way to avoid EMI problems is to use fluorescent lights. Option B.
Fluorescent lights deteriorate quickly especially if they are installed in a place where they are turned on and off frequently. Fluorescent lights shorten their life each time they are turned off and on. This can lead to premature failure and you will end up spending more money replacing bulbs more often.
EMI from fluorescent lighting systems is rare. Designers considering the use of electronic ballasts can greatly reduce the potential for EMI problems with careful planning. EMI is caused by the close relationship between electricity and magnetism. Any flow of electricity creates a small magnetic field. Conversely when the magnetic field moves an electric current is generated.
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For a skateboard with a negative acceleration, which of the following statements is always true?
1. The initial velocity of the skateboard will be greater than it’s final velocity.
2. The skateboard will have a negative displacement.
3. The final velocity of the skateboard will be positive.
4. The final velocity of the skateboard will be negative
5. The skateboard is losing speed
With a negative acceleration, the skateboard's beginning velocity will be higher than its end velocity.
The correcty answer is 1
How do you calculate beginning velocity in the absence of time?Based on the assumption that the object's energy is conserved, its velocity equals the square root of twice square product of the its acceleration or the distance it travels. This relationship also depends on the object's initial velocity.
What are starting and final velocities?When gravity first exerts force on an object, its initial velocity indicates how quickly it moves. The final velocity, on the other hand, is a vector quantity that determines the rate and direction of the a moving body when it has reached its maximum velocity.
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when the top 2 waves are added together, the result is the bottom wave. the bottom wave is an example of
When two waves collide while moving across the same medium, wave interference is the result.
What happens when 2 waves meet?When two waves collide, they cause each other's displacement to change, creating a totally new wave in the process. The amplitude of the resulting wave at each point is determined by adding the amplitudes of each wave, according to the principle of superposition.Sound waves interact when they share a space with one another.The waves pass through each other instead than off of one another. Depending on how the waves align, a wave will result.The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is.To Learn more About wave interference refer to :
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what is the average flow rate in cm3/s of gasoline to the engine of a car traveling at 104 km/h if it averages 8.0 km/l? (you do not need to enter any units.)
The average flow rate is 3.611 cm^3/s
The speed V is = 104Km/h
The velocity of vehicle z is = 8km/l
Qavg = V/Z
= 104/8 =13
= 13 (1000)/1(3600)
Qavg = 3.611 cm^3/s
The physical parameters flow rate and velocity are linked yet very distinct. Consider a river's flow rate to help you understand the difference. The flow rate of the river increases as water velocity increases. However, the size of the river also affects the flow rate. The Amazon River in Brazil, for instance, carries much more water than a swift alpine stream. When A is the cross-sectional area and v is the average velocity, the flow rate Q and velocity v are precisely related. This equation seems to make sense. According to the relationship, the size of a river, pipe, or other body of water as well as the magnitude of the average velocity (hereinafter referred to as the speed) directly affect the flow rate.
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A car moves at a velocity of 8.5m/s. It then accelerates at a constant rage of 2.5m/s/s for a total time of 5 second. How fast is the car moving at the end of the 5 second
The car would be moving with a velocity of 21 m/s at the end of the five seconds.
We know that the first equation of motion is ⇒ v = u + at (i)
Here, the car moves with an initial velocity, u = 8.5 m/s (ii)
The car accelerates at a constant rate, a = 2.5 m/s² (iii)
The total time during this process, t = 5 seconds (iv)
Putting the values of the initial velocity, acceleration, and time (ii, iii, and iv) in equation (i), we get ⇒ v = 8.5 + (2.5)(5)
v = 21 m/s
Therefore, the car moves with a final velocity of 21 m/s at the end of the five seconds.
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a solid sphere has a radius of 0.200 m and a mass of 150 kg. how much work is required to get the sphere rolling with an angular speed of 50.0 rad/s on a horizontal surface? assume the sphere starts from rest and rolls witho
Work done on sphere is 10500 J.
Kinetic energy = 1/2 [tex]iw^{2}[/tex] + 1/2 [tex]m v^{2}[/tex]
I = 2/5 [tex]m R^{2}[/tex]
w = [tex]\frac{v}{r}[/tex]
Now, put these values in formula KE = 1/2 [tex]iw^{2}[/tex] + 1/2 [tex]m v^{2}[/tex]
KE = 10500 J
Now, by work energy theorem
Work done = 10500 - 0 = 10500 J
Hence, Work done on sphere is 10500 J.
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What is the correct order of the planets in the solar system, starting closest to the sun?.
Answer:
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
and then drawf planets
a he-ne laser emits wavelength of 633 nm. its beam diameter is 1 mm. find the minimum angular spread due to diffraction.
The minimum angular spread due to diffraction is 633×10⁻⁹m.
What is diffraction-induced spread?The spread of the spot (obtained on the opposite wall of the camera) is thought to equal the total of its geometrical spread and the spread caused by diffraction when the hole is lit by a parallel beam of light with wavelength lambda.
When waves flow through an aperture or around objects, they spread out, which is referred to as diffraction. It happens when the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude. The majority of the wave is blocked at extremely small aperture diameters.
Minimum angular spread due to diffraction (θ) = λ/b
Given.
Wavelength = 633nm = 633×10⁻⁹m
Beam diameter is 1mm.
Minimum angular spread due to diffraction (θ) = 633×10⁻⁹m/1
Minimum angular spread due to diffraction (θ) = 633×10⁻⁹m.
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what is the average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second?
The average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second is 4.16 ms.
What is the average rotational latency?Half as long as it takes the disk to complete a full spin, that is how long the rotational delay is. Rotational speed is the rate at which an object revolves or rotates. It is determined by how many rotations an item completes in a given amount of time, unlike linear speed. Rotational speed is calculated as rotations per unit of time, whereas linear speed is calculated as distance per unit of time.Rotational delay is at its worst at 7200 RPM and is typically half that at 8.33 milliseconds (4.17 ms).Rotational lag on average: 4.16 msTypical search time: 8 msMax seek: 10.5 msTo learn more about rotational latency refer to:
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Explain the relationships you see in your data tables, and whether they agree with Newton’s Second Law of Motion (Fnet=ma).
3rd and 6th row in second table do not agrees with the equation ( Force = mass * acceleration ) , rest follows the equation
There is a relation between force , mass and acceleration of the body , in a such a way that it agrees with newton's third law which is Force = mass * acceleration
All the given data in the table follows this relation except where
mass = 150 kg
a = 0.67 [tex]m/s^{2}[/tex]
F (given ) = 100 N
calculated force = ma = 150 * 0.67 = 100.5 N
mass = 300 kg
force (given) = 100 N
a = 0.33 [tex]m/s^{2}[/tex]
calculated force = ma = 300 * 0.33 = 99 N
rest of the data completely follow the equation F = ma
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5.00-kg box slides 5.00 m across the floor before coming to rest. what is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3
The coefficient of kinetic friction among the floor and the field is 0.092.
Friction is a form of touch force. It exists among the surfaces which might be in touch. The frictional pressure depends at the person of the surface in touch. The rougher the ground, the greater the friction is worried. The frictional force is proportional to the pressing pressure, it's the load of the frame. it is independent of the region of the contact.
Calculation:-
mass = 5 kg
distance travelled = 5 m
initial speed = 3 m/s
v² = u² -2as
a = u²/2s
= 3²/2 × 5
= 0.9 m/s²
F = μkN
ma = μkmg
5×0.9 = μk 5 ×9.8
μk = 4.5/49
= 0.092
Friction is the force resisting the relative movement of strong surfaces, fluid layers, and material factors sliding in opposition to every different. There are numerous forms of friction: Dry friction is a strain that opposes the relative lateral motion of two strong surfaces in touch.
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a 0.20-kg ball on a stick is whirled on a vertical circle at a constant speed. when the ball is at the three o'clock position, the stick tension is 16 n. find the tensions in the stick when the ball is at the twelve o'clock and at the six o'clock positio
The tension when the stick is at six o clock will be 17.96 N and when the stick will be on 12 o clock the tension will be 14.04 N.
What is tension and how the tensions are calculated out to be so ?Tension is actually the force acting and that both have same unit Newton whose formula is T =mg + ma.Here the question is saying that0.20 kg ball in a stick is whirled on a circle at a constant speed.When the stick would be at 6 position , T6 = mg+T3 = 0.2 x 9.8 +16 = 17.96 N.When the stick would be at 12 position, T12 = T3-mg = 16- o.2x9.8 = 14.04N.Hence when a 0.20 kg ball on a stick whirling on a verticle circle at constant speed , the tension at six and twelve will be 17.96 N and 14.04N respectively.To know more about speed visit:
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eighteen-month-old annabelle looks in the mirror, sees that the reflection in the mirror has a mark on her nose, and touches her own nose. what can we conclude?
We can conclude that Recognizing herself. The process of reflecting light rays that fall on a polished surface is known as reflection of light.
What is Reflection?
It assists us in gaining understanding and determining how to proceed. The wave front returns to the medium from which it originated is referred to as reflection. Reflection of light, sound, and water waves are common examples.
Reflection is the process of investigating and analyzing oneself, one's perspectives, characteristics, experiences, and actions / interactions. It assists us in gaining understanding and determining how to proceed.
The process of reflecting light rays that fall on a polished surface is known as reflection of light. The angle of reflection is always equal to the angle of incidence, according to reflection laws. (ii) The incident, reflected, and normal rays all lie in the same plane.
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Recognizing herself, we can infer. Reflection of light is the process of reflecting light rays that strike a polished surface.
What is Reflection?It helps us understand and make decisions about how to move forward. Reflection is the process by which the wave front returns to the original medium. Examples of reflection include the refraction of light, sound, and water waves.The act of reflecting involves looking within and examining one's perspectives, traits, experiences, and behaviors and relationships. It helps us understand and make decisions about how to move forward.Reflection of light is the process of reflecting light rays that strike a polished surface. According to reflection laws, the angle of reflection is always the same as the angle of incidence. (ii) The same plane is shared by the incident, reflected, and normal rays.To learn more about Reflection refer to:
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a 500.0 kg elevator is pulled upward with a constant force of 5500.0 n for a distance of 50.0 m. what is the work done by the 5500.0 n force on the elevator?
The work done by the constant force to pulled the elevator upward is 275000 Joules.
The work done by any force is given by,
W = Fa
Where,
W is the work done,
F is the force applied,
s is the displacement along the direction of the force,
The force applied on the elevator to pull it upward is 5500N and the distance to which the elevator is pulled is 50 m.
Now, putting values,
W = 5500(50)
W = 275000 Joules.
So, the work done by the force to pull the elevator upward is 275000 Joules.
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A 100.0 g arrow is pulled back 30.0 cm against a bowstring. The bowstring's spring constant is
1250 N/m. What speed will the arrow have when it leaves the bowstring if the arrow is shot horizontally?
Velocity of the arrow while leaving the bow is 33.54 m/s.
What is kinetic energy?Kinetic energy is the energy that an object has when it is in motion. If you want to accelerate an object you have to apply a force. To add strength, we need our work. When the work is done, the energy is transferred to the object and it moves at a new constant speed.
Energy stored in the string = Kinetic energy of the arrow.
1/2(ke²) = 1/2(mv²)
Where k = spring constant of the bowstring
e = extension
m = mass of the arrow
v = velocity of the arrow.
Let's make v the subject of this equation
v = √(ke²/m)
Given: k = 1250 N/m
e = 30 cm or 0.3 m
m = 100 g or 0.1 kg
Substitute the values into the equation:
v = √(1250×0.30²/0.1)
v = √(1125)
v = 33.54 m/s
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a child pulls a friend in a little wagon with constant speed. if the child pulls with the force of 16 n for 10.0 m and the handle of the wagon is inclined 25 degrees with respect to the horizontal, how much work does the child do on the wagon?
The work done by the child on the wagon is 158.4 J
Work done is defined as the product of the force applied on the object and the component of distance traveled by the object in the direction of the force. Mathematically,
W = FdCosθ
where,
W = work done = ?
F = force applied = 16 N
d = displacement = 10 m
θ = angle of inclination = 25°
Therefore,
W = (16 N) (10 m)Cos(25°)
W = 158.4 J
Hence, work done by the child on the wagon is 158.4 J
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which imaging modality places time of flight information on the x-axis and echo amplitude on the y-axis?
Amplitude modulation, or AM, is a modulation method used in electronic communication, most frequently for radio wave transmission of messages.
What is amplitude mode?A common collective excitation associated with the spontaneous breaking of a continuous symmetry is the amplitude (Higgs) mode. We use a combination of stochastic analytic continuation and quantum Monte Carlo (QMC) simulations to look at the dynamics of the amplitude mode in a three-dimensional dimerized quantum spin system.In physics, amplitude refers to the most displacement or distance that a point on a vibrating body or wave can travel in relation to its equilibrium location.The method of amplitude modulation involves changing the amplitude of the wave signal before it is broadcast. It is frequently used to send information using a radio carrier wave and is known by the abbreviation AM. Electronic communication is where amplitude modulation is most commonly utilized.To Learn more About Amplitude modulation refer to :
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what would be your best estimate for the normalized ground state wavefunction of the quartic oscillator?
The variational technique is one strategy to approximate the ground state with the lowest energy and some stimulated states in quantum mechanics.
What is variational method principle in quantum mechanics?This makes it possible to calculate approximations of wavefunctions, like molecular orbitals. The variational concept serves as the method foundation. The process entails selecting a "trial wavefunction" based on one or more parameters, then identifying these parameters values that result in the energy expectation value being as low as possible. By setting the parameters to these values, a wavefunction that approximates the ground state wavefunction is produced, and the energy in that state's expectation value serves as an upper bound on the ground state energy.
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A metal block of mass 5kg lies on a horizontal platform. if a horizontal force of 8n applied to the block through its centre of mass just slides the block on the platform. what will be the coefficient of limiting friction between the block and the platform
Answer: the coefficient would be either 4 or 5
Explanation:
3) mary looked in her science book at a picture of the solar system. the planets were large and colorful but she knew it was not an accurate model. why?
mary looked in her science book at a picture of the solar system. the planets were large and colorful but she knew it was not an accurate model. The planets should have been much farther apart.
The gravitationally bound system of the Sun and the satellites in its orbit is referred to as the Solar System. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. The Sun is the system's primary mass, accounting for 99.86% of its total mass, with Jupiter making up the majority of the remaining mass. Mercury, Venus, Earth, and Mars are the four planets in the inner solar system, and they are all terrestrial planets with rocky and metallic cores. In comparison to the terrestrial planets, the four giant planets of the outer solar system are significantly bigger and more massive. The two biggest, Jupiter and Saturn, are gas giants made primarily of hydrogen and helium; the next two, Uranus and Neptune, are ice giants made primarily of highly volatile substances.
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what property of a star can you deduce by observing spectroscopic binaries? eclipsing binaries? visual binaries?
A binary star system consists of two stars that are gravitationally sure and orbit each other. Binary stars in the night time sky appear as a single object to the bare eye, but telescopes frequently remedy them as separate stars.
A binary stars have orbit a common center of mass. The first one star is brighter of the two, and other is the fainter (classified as A and B, respectively).
Visual binaries : A visual binary system is a binary system in which each individual star in the system can be individually resolved with a telescope. Longitudinal observations can then be made to indicate the relative positions of the members of the system. Over time, this data is collected and used to calculate star orbits. Visual binaries tend to be systems that are relatively close to us, being able to resolve individual stars.
Eclipse Binary system : Photometry is used as a third technique for detecting binary structures. the obvious value of many stars changes regularly. this could be due to one of two elements. It can be a single star that has its inherent luminosity change. Such stars are called pulsating variables . the second alternative is that it's far a binary gadget with an orbital plane that is side-on to us, inflicting the issue stars to frequently eclipse each other. Such systems are referred to as eclipsing binary structures.
Spectroscopic binaries : A binary star having components that are not sufficiently separated to be resolved by a telescope, known to be a binary only bythe variations in wavelength of emitted light that are detected by a spectroscope.
Spectroscopic binaries are seen from their line spectrum, by means of following the Doppler shift .
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What accounts for the light and dark bands produced when monochromatic light reflects from a glass pane atop another glass pane?.
The waves that are reflected off the glass on the top and bottom surfaces of the air wedge interfere, which results in these bands. Interference between light waves reflected from the thin film's two sides.
Define monochromatic light.Electromagnetic radiation of a certain wavelength, whether visible or invisible, is monochromatic light.
Although in theory monochromatic light has exactly one wavelength, this is not practical, hence monochromatic light always comprises of a (relatively) narrow bandwidth of wavelengths. The color that the human eye can see when monochromatic light is in the visible spectral range is referred to as the spectral color. Lasers produce monochromatic light directly; a monochromator separates monochromatic light from a broadband light source.
Monochromatic light should only have one wavelength, according to theory. Monochromatic light is actually defined as having a narrow bandwidth.
A monochromator can be used to separate monochromatic light from polychromatic light.
In the visible wavelength range, monochromatic light is regarded as having spectral color.
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a plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive direction of an x axis. the electric field, of amplitude 300 v/m, oscillates parallel to the y axis. what are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) what is the amplitude of the magnetic field component? (e) parallel to which axis does the magnetic field oscillate? (f) what is the time-averaged rate of energy flow in watts per square meter associated with this wave? the wave uniformly illuminates a surface of area 2.0 m2. if the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure on the surface?
Since, we know that magnetic field is always perpendicular to the z axis or electric field.
Calculation:-
lambda = 2.8m
v = 3*10^8m/s
v = f(lambda)
(a) f = 1.07*10^8hz
(b)angular frequency = 2pif
= 6.72*10^8rad/s
(c) wave number = 2pi/lambda
= 2.24
(d) B=E/c
= 300/(3*10^8)
=10^-6Tesla
(e) Magnetic discipline is perpendicular to wave propagation and electric powered subject
The magnetic discipline is perpendicular to the z-axis.
Electromagnetic waves are non-mechanical waves. Electromagnetic waves do no longer require a medium to propagate and may without problems pass via a vacuum. Electromagnetic waves propagate in all guidelines from the source of interference. The wave will keep transferring till something interrupts it. Electromagnetic waves vary from mechanical waves in that they do no longer require a medium for propagation.
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a small truck has a mass of 2095 kg. how much work is required to decrease the speed of the vehicle from 25.0 m/s to 15.0 m/s on a level road?
The vehicle needs to do 515872.5 Joule of labor in order to reduce its speed from 25 m/s to 12 m/s when a small truck has a mass of 2095 kg.
What exactly is speed?
the rate at which the position of an object changes in any direction. The ratio of distance traveled to the time required to travel that distance is known as speed. Speed is a scalar quantity because it has no magnitude and only a direction. The SI unit of speed is made up of the fundamental units of time and distance. The speed measurement in the metric system is measured in meters per second. Work is defined as the energy that is moved to or from an item by exerting force along a displacement. It is easiest to express as the product of force magnitude and distance traveled with a constant force acting in the same direction as the motion.
According to the International System of Units, a joule is a unit of work.
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rgb color television and computer displays use cathode ray tubes that produce colors by mixing red, green, and blue light. if we look at the screen with a magnifying glass, we can see individual dots turn on and off as the colors change. using a spectrum of visible light, determine the approximate wavelength of each of these colors. what is the frequency and energy of a photon of each of these colors?
The frequency and energy of a photo of each of the colors indicated above are calculated using the formula for the frequency of light and the formula for energy in relation to Planck's constant.
What is the equation for energy and Frequency?
In this case, the formula for energy and frequency is given as follows:
E = Hv
Where
E - Energy (in eV)
h - Planck's constant (4.1357 x 10⁻15 eVs)
v-frequency (in Hz)
v = c/λ
Where,
v - frequency (Hz)
c - speed of light (3x 10⁸) ms⁻¹
λ - wavelength (in meters)
The energy of the photon for Red light is given as follows:
E = (4.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 1.902 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[650x×10⁻¹⁹m]
v = 4.6 x 10¹⁴Hz
For Green light:
Energy is given as:
E = (5.4 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.234 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[550x×10⁻¹⁹m]
v = 5.4 x 10¹⁴Hz
For Blue light:
Energy is given as:
E = (6.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.729 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[450x×10⁻¹⁹m]
v = 6.6 x 10¹⁴Hz
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two long, straight wires are parallel and 49 cm apart. (a) if each wire carries a current of 74 a in the same direction, what is the magnitude of the magnetic force per meter (in n/m) exerted on each wire?
The magnetic force between the two parallel wires is 2.24 x 10⁻³ N/m.
What is the force between the two parallel wires?
The magnetic force between the two parallel wires is calculated by applying the following kinematic equation as shown below.
F/L = μI₁I₂/2πr
where;
μ is the permeability of free space = 4π x 10⁻⁷ Tm/AI₁ is the current in the first wireI₂ is current in the second wireF/L is force per unit lengthr is the distance between the two wiresThe magnitude of the magnetic force per meter (in n/m) exerted on each wire is calculated as;
the current in the first wire = the current in the second wire = 74 A
Substitute the given parameters and solve for the force per unit length of current between the two parallel wires.
F/L = ( 4π x 10⁻⁷ x 74 x 74)/(2π x 0.49)
F/L = 2.24 x 10⁻³ N/m
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Calculate the efficiency of a machine that requires 20 J of input work to do 10 J of output work. What is the efficiency of the machine? (in percent, but write the number only)
The efficiency of the machine is ξ= 50%.
Given - 20 joules and 30 joules are input and output work of the system respectively.
To find the efficiency of the system.
principle ;- Efficiency represents the capability of a system to do work .
Mathematically , efficiency has an equation that relates the input and output work and accurately provides the result.
Formula - ξ= οₙ/Iₙ x 100
οₙ = output work , Iₙ= input work
Calculations :- ξ= { 10/20 }x 100
ξ= 50%
Result- The Efficiency of the machine is 50%.
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answer the following questions for projectile motion on level ground assuming negligible air resistance (the initial angle being neither nor ): (a) is the velocity ever zero? (b) when is the velocity a minimum? a maximum? (c) can the velocity ever be the same as the initial velocity at a time other than at ? (d) can the speed ever be the same as the initial speed at a time other than at ?
Explanation
a) The velocity will never be zero. The velocity at the highest point of the projectile will be the smallest, equal to the horizontal component of the initial velocity.
b) The velocity will be zero when the kinetic energy is zero. When kinetic energy is at its lowest, potential energy is at its highest. Because potential energy is greatest at the highest point, velocity is greatest at the highest point.
c) Because a constant force of gravity acts on the projectile at all times, velocity will never be the same as initial velocity.
d) When the bullet bounces back and strikes the ground, the speed equals the initial speed (at t = 0), because the height is zero and the kinetic energy is equal to the initial energy.
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