The Chevrolet Spark accelerates at 7.1 m/s around a flat turn with a radius of curvature of 70.9 m at a speed of 22.4 m/s.
Describe acceleration.The rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates.
A is the centripetal acceleration, and V is the linear velocity.
Radius v = 22.4 m/s
Radius = 70.9 m
a = 22.42 / 70.9 m a
a = 7.1 m/s / s
Centripetal acceleration is the term used to describe the speed of a body rotating in a circle. A vector quantity, that is. It is represented as m/s2.
Consequently, the car's acceleration is 7.1 m / s
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a 15.5 kg mass vibrates in simple harmonic motion with a frequency of 17.73 hz. it has a maximum displacement from equilibrium of 12.8 cm at time, t
The displacement of the particle from the equilibrium position is 8.33 cm.
What is displacement?
Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting position to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B.
The displacement from equilibrium of the mass at the time, t = 1.25 s is
Mass, m = 15.5 kg
Frequency, f = 17.73 Hz
Maximum amplitude, A = 12.8 cm
t = 1.25 s
The equation of the simple harmonic motion
y = A Sin ωt
y = A Sin (2 x π x f x t)
put, t = 1.25 s, A = 12.8 cm, f = 17.73 Hz
y = 12.8 Sin ( 2 x 3.14 x 17.73 x 1.25)
y = 12.8 Sin 139.38
y = 8.33 cm
So, the displacement of the particle from the equilibrium position is 8.33 cm.
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I understand the question you are looking for is:
A 15.5 kg mass vibrates in simple harmonic motion with a frequency of 17.73 Hz. It has a maximum displacement from equilibrium of 12.8 cm at time, t = 0.00 s. The displacement from equilibrium of the mass at time, t = 1.25 s is_______?
a solid cylinder rolls down an incline at 30^{\circ}30 ∘ from rest. part ashort answer 0 / 1 points what is its acceleration?
According to the query, the cylinder accelerates to 4.9 m/s² and travels 22.05 m in 3.0 seconds.
How would you define acceleration?Acceleration refers to the rate where the the speed and direction of velocity vary over time. A point of object going straight ahead is accelerated when it accelerates or decelerates. Even when the speed stays constant, travel on a circle accelerates because the orientation is always shifting.
Briefing:Acceleration for cylinder is
a = g*sin30°
a = 9.8*1/2
a = 4.9 m/s²
Therefore the distance travelled in 3.0 seconds,
Using equation of motion,
s = ut + 1/2at²
s = 0 + 1/2(4.9)(3)²
s = 22.05m
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The complete question is-
A Solid Cylinder Rolls Down An Incline At 30° From Rest.
(A) What Is Its Acceleration?
(B) How Far Does It Go In 3.0 S?
0 / 1 points an earth satellite has its apogee at 2500 km above the surface of earth and perigee at 500 km above the surface of earth. at apogee its speed is 6260 m/s. what is its speed at perigee? earth's radius is 6370 km (see below).
The speed of the satellite at perigee is 7074.27 m/s
What is satellite?
An object that has been placed into orbit in space on purpose is known as a satellite as well as artificial satellite. Most satellites, with the exception of passive satellites, have a means of generating electricity for the equipment they carry, such as solar panels as well as radioisotope thermoelectric generators (RTGs). The majority of satellites also have transponders, which are a type of ground station communication system. The most common satellites, small CubeSats, use a standardised bus to reduce costs and labour. Satellites of a similar type can cooperate with one another to form constellations. Satellites are made to be as light and durable as possible due to the high cost of space launch. Numerous transponders, with a bandwidth of dozens of megahertz, are carried by the majority of communication satellites, which are radio relay channels in orbit.
The speed of the satellite at perigee can be calculated using the equation of conservation of energy:
e = (½) mv2 - G(Mm/r)
Where e is the total energy of the satellite, m is its mass, v is its velocity, G is the gravitational constant, M is the mass of the Earth, and r is its distance from the Earth's center.
At apogee, the total energy of the satellite is:
e1 = (½) mv12 - G(Mm/r1)
At perigee, the total energy of the satellite is:
e2 = (½) mv22 - G(Mm/r2)
Equating the two expressions, we get:
(½) mv12 - G(Mm/r1) = (½) mv22 - G(Mm/r2)
Substituting the given values, we get:
(½)(6260 m/s)2 - G(Mm/2500 km) = (½) mv22 - G(Mm/500 km)
Rearranging the equation, we get:
mv22 = (½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)
Taking the square root of both sides, we get:
v2 = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)]
Finally, we get:
v = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)]
Therefore, the speed of the satellite at perigee is:
v = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)] ≈ 7074.27 m/s
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what was the key physical property in determining the two catergories of palnets during solar system formation
Answer: physical characteristic during the formation of the solar system most significantly contributed to the distinction between the two types of planets
Instead, look for the crucial physical characteristic that, during the formation of the solar system, distinguished between the two kinds of planets.
Explanation: What characteristics does the solar system have in terms of physics?
Dimensions of the Solar System
The novice teacher lists the characteristics of the solar system's constituent parts. defining ideas The Sun is the centre of the solar system, which also includes planets, dwarf planets, moons, comets, asteroids, meteoroids, dust, atomic particles, electromagnetic radiation, and magnetic fields.
Which two broad categories would you say our solar system's planets fall under?
The two categories of planets—terrestrial and giant—are typically used to categorize them. The four inner planets make up the four terrestrial planets: Mercury,
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Shown below are the four terrestrial planets of our solar system. Assume that all the planets started out equally hot inside. Rank the planets based on their expected cooling rates, from fastest cooling to slowest cooling.
Mercury
Mars
Venus
Earth
The rank of the terrestrial planets based on their expected cooling rates, from fastest cooling to slowest cooling is as follows -
mercury , Mars, Venus, Earth
Mercury - It is the smallest terrestrial planet in the solar system. It has a thin atmosphere, which causes it to swing between burning and freezing temperatures.
Mars - It is less dense than Earth and has a smaller magnetic field, which is a indication of a solid core rather than a liquid one. Mars is known to have water ice and organics- some of the ingredients for living things.
Venus - It is about the same size as Earth and has a thick, toxic carbon-monoxide (CO) dominated atmosphere that traps heat, making it the hottest planet in the solar system.
Earth - Out of the four terrestrial planets, Earth is the largest and has regular seasons for much of it surface; regions closer to the equator tend to stay warm, while spots closer to the poles are cooler and in the winter, icy.
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Radio waves travel through empty space-faster than visible light.-slower than visible light.-at the speed of visible light.-with only electric fields and not magnetic fields.
Because a quick manifestation of charge is a monopole and electromagnetism theory states that a monopole cannot radiate, it cannot transmit electromagnetic waves.
Since electrons are always generated in pairs with positrons and the electron-positron dipole does broadcast its changing state as an electromagnetic wave at the speed of light, we actually never have to deal with this conundrum. Maxwell's equations reveal that all of space "knows" that a charge exists in the form of a field or a potential, both of which instantly fill space. Because these charges have always existed alongside their corresponding opposite charges, which may now be located elsewhere, this does not contradict the speed limit of light propagation.
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a parallel rc circuit has a resistance of 470 ohms, a reactance of 330 ohms, and an applied voltage of 470 volts. solve for the impedance of the circuit by determining the branch currents and the total current. (round the final answer to one decimal place.) the values calculated for this question will be used for additional questions.
The impedance of the circuit is 193.9 ohms. The result is obtained by dividing the applied voltage by the total current.
What is the impedance of a parallel circuit?In a parallel RC (resistance and reactance) circuit, impedance can be expressed as
[tex]Z = \frac{RX_{c} }{\sqrt{R^{2} + X_{c}^{2} } }[/tex]
Z = V/I
Where
Z = impedanceR = resistanceXc = capacitive reactanceV = voltageI = total currentWe have:
R = 470 ohmsXc =330 ohmsV = 470 voltsThe impedance should be found by determining the branch currents and the total current.
The branch currents are
Ir = V/R = 470/470 = 1 A
Ic = V/Xc = 470/330 = 1.424 A
In the parallel circuit, the total current is
I = Ir + Ic = 1 + 1.424 = 2.424 A
By using the total current, the impedance is
Z = V/I
Z = 470/2.424
Z = 193.9 ohms
Hence, the impedance of the parallel RC circuit is 193.9 ohms.
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a 54kg cube accelerates at 1.3 m/s^2/ if it was pushed at 164 n what is the coefficient of friction between the cube and the ground
The coefficient of friction between the cube and the ground is 0.177.
Friction is a shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon on the character of the floor in contact. The rougher the ground, the extra the friction is involved. The frictional force is proportional to the urgent pressure, that is the burden of the body. it's miles impartial of the place of the touch.
Calculation:-
F = ma
= 54 × 1.3 m/s²
= 70.2
force required = 164 N
so friction force = 164 - 70.2 N
= 93.8 N
normal force = mg
= 54 × 9.8
= 529.2 N
Friction force = μN
μ = Friction force/N
= 93.8 / 529.2
= 0.177
Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction. Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.
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The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is.
The amount of air drag on an 0. 8N flying squirrel dropping vertically at terminal velocity is 0.8N.
The terminal velocity is the highest constant velocity attained by a body when falling through a viscous medium.When the force of resistance of a medium equals and opposes the force of gravity, it is said to be accomplished.It is seen that the sum total of the buoyancy and drag force is equal to the force of gravity moving downward affecting the object. The acceleration of the object is considered as zero since the net force affecting the object is zero. An object is considered to be moving at terminal velocity in fluid dynamics if its speed remains constant, a restraining force put on it by the fluid in which it is moving.To know more about air drag visit:
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As the weight lifter raises her arm toward a horizontal position, will the force in the biceps muscle increase, decrease, or stay the same?
The force in the biceps muscle increases as the arm is raised.
The Benefits of Weight Lifting for Strengthening Biceps MusclesWeight lifting is an effective form of exercise for strengthening the biceps muscles. The biceps are the muscles located on the front of the upper arm and are responsible for flexing the arm and bending the elbow. As the weight lifter raises the arm, the force in the biceps muscle increases and the muscles become stronger.
Weight lifting can be beneficial for any individual looking to:
Increase their strength.Increase Muscle mass.Increase overall fitness level.The muscle fibers in the biceps become stronger and more efficient as they are worked with weights. This helps to improve the range of motion of the arms and makes them more capable of performing daily tasks.
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when archimedes’ principle is used to measure liquid level, the apparent weight of the displacer increases as the liquid level ? .
The displacer receives a stronger force as the liquid level rises, appears heavier to the device, which takes the dieting as an increment and sends the equal signal.
In plain English, what is the Archimedes Principle?The balance of a creature floating for still water depends on Archimede's Principle, which asserts that such a body in a liquid suffers an upthrust proportional to the volume of the fluid expelled. Gravity exerts a downward force on a body that is free-floating in calm water.
Is the Archimedes principle a rule or an idea?The upward force that is applied to a body submerged in a fluid, whether wholly or partially, is equivalent to the mass of displaced fluid, according to Archimedes' principle (sometimes spelled Archimedes' principle). The Archimedes' rule is a fundamental physical law in fluid mechanics.
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When a metal car is struck by lightning, the resulting electric field inside the car is.
When a metal car is struck by lightning, the resulting electric field inside the car is zero.
Electric field is defined as the electric force per unit charge. The direction of the field is taken to be the direction of the force it would exert on a positive test charge.The reason a person in a car does not get hit by a lightning strike is because the roof and walls of the car present a path of less resistance than the interior of the car.It is safe to sit under a car rather than to stand under a tree during lightning. The electric field inside the car is zero.Cars are safe from lightning because of the metal cage surrounding the people inside the vehicle.To know more about charges visit:
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what would a permanent magnetic substance be called? a. soft magnet c. hard magnet b. fast magnet d. quick magnet please select the best answer from the choices provided a b c d
A permanent magnetic substance be called a hard magnet.
Option C is correct.
What is a hard magnet?Hard magnets, also referred to as permanent magnets can be described as those magnetic materials that retain their magnetism after being magnetized.
Examples of magnet function include the following:
Mechanical to mechanical attraction and repulsion.Mechanical to electrical, such as generators and microphones.Electrical to mechanical also found in motors, loudspeakers, charged particle deflection.Mechanical to heat found in as eddy current and hysteresis torque devices.Learn more about hard magnets at: https://brainly.com/question/14256749
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if the root-mean-square speed of the gas molecules is 162 m/s , what is the pressure of the gas? express your answer in pascals.
The force that the gas applies to the container boundaries is known as the gas's pressure. Along the given volume, the gas molecules move at random.
Explain about the pressure of the gas?They bump into the ground and each other as they move. The pressure of a gas is therefore a measurement of the average linear momentum of the moving molecules in a gas because the impact of each individual gas molecule is too minute and challenging to observe. The pressure exerted on the wall is normal to it and acts perpendicularly; the gas's viscosity affects the force's tangential (shear) component.
The quantity of gas particles, the capacity of the container, and the temperature of the gas all affect how much pressure is applied to a contained gas. The pressure will rise as the volume of gas particles in a container increases. The pressure will rise as a container's volume increases.
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A small car collides head-on with a large SUV. Which of the following statements concerning this collision are correct?
A. Both vehicles are acted upon by the same average force during the collision.
B. The small car is acted upon by a greater average force than the SUV.
C. The small car undergoes a greater change in momentum than the SUV.
D. Both vehicles undergo the same change in momentum.
A small car collides head-on with a large SUV, both vehicles undergo the same change in magnitude of momentum.
The collision also called effect, in physics, is the unexpected, forceful coming together in direct contact of bodies, which includes, for an instance, billiard balls, a golf membership and a ball, a hammer and a nail head, railroad automobiles while being coupled together, or a falling item and a floor.
Physicists use collisions to determine the houses of atomic and subatomic debris. Essentially, a particle accelerator is a device that provides a managed collision system among subatomic debris so that, amongst other things, some of the houses of the target particle can be studied. The maximum common motive of an automobile collision is distracted use.
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describe the position vertsus time plot of driven harmonic motion when the driving frequency is slightly higher than the theoretical njatural frequency
The position versus time plot of driven harmonic motion when the driving frequency is slightly higher than the theoretical natural frequency will show a sinusoidal oscillation with a gradually increasing amplitude.
What is harmonic?
A harmonic wave, like a sinusoidal wave, has a frequency that is an integer multiple of the basic frequency, or the frequency of the initial periodic signal. The first harmonic of the original signal is also referred to as that; higher harmonics are the other harmonics. The sum of harmonics is periodic at the fundamental frequency because all harmonics are at that frequency as well. A harmonic series is formed by the group of harmonics.
The phrase is used in a variety of fields, including radio technology, physics, acoustics, power electronics transmission, and music. For instance, if indeed the frequency response is 50 Hz, which is a typical AC power supply frequency, the first three higher harmonics' frequencies are 100 Hz (second harmonic), 150 Hz, and 200 Hz (3rd harmonic).
As the driving frequency increases, the amplitude of the oscillation will become more pronounced and eventually reach a peak before decaying back to the original amplitude. The period of the oscillation will remain constant, even as the amplitude increases.
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when is the soonest we are likely to have moderate-resolution images and spectra of earthlike planets around other stars?
We are likely to acquire moderate-resolution photos and spectra of Earth-like planets around other stars in ten or twenty years thanks to space observatories that are currently in the planning phases.
What are stars ?
Large celestial bodies known as stars are primarily composed of hydrogen and helium and generate light and heat in their centres from churning nuclear forges. Only a very small portion of the tens of billions of trillions of stars in the observable cosmos are visible to the unaided eye.
The enormous volumes of radiation emanating from the planet's host star overwhelm any light reflected off the planet or heat radiation from the planet itself. The only way to find life on other planets is through the analysis of their spectra, which will enable us to find chemicals in other atmospheres and even look for surface features that might be signs of life.
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what is the value of q/m for a particle that moves in a circle of radius 6.8 mm in a 0.50 t magnetic field if a crossed 260 v/m electric field will make the path straight?
If a crossover 260 v/m magnetic field will render the path straight, then the value of q/m for a piece moving within a circle at size 6.8 mm in some kind of a 0.50 t magnetic field is 0.0982 T.m2.
Simply put, what's a magnetic field?The region around a magnet where the effects of magnetism are felt is known as the magnetic field. To describe that how magnetic force is dispersed in the area around and inside something magnetic in nature, we utilize the magnetic flux as a tool.
Briefing :
Given, magnitude of magnetic field, B = 0.5 T
radius of the loop, r = 6.88 m
Area is given by;
A = πr²
A = 3.142 x (6.88)²
A = 148.72 m²
The magnitude of the magnetic flux through the loop is given by;
Ф = BA
Where;
B is the magnitude of the magnetic field
A is area of the field
Ф = 0.5 x 0.1964
Ф = 0.0982 T.m²
Therefore, the magnitude of the magnetic flux through the loop is 0.0982 T.m²
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Light with a wavelength of 350 nm shines on a metal surface, which emits electrons. The stopping potential is measured to be 1.25 V.
a) What is the maximum speed of emitted electrons?
b) Calculate the work function and identify the metal.
(a) The maximum speed of emitted electrons is 5.67 x 10^−19 J
(b) The work function is 2 x 10^-19 eV and the metal is Cesium
It is given that
Wavelength of light = 350 nm
We have to find maximum speed and work function
(a)
We use the energy of a photon equation, which states that,
E = hf
h is Planck's constant, which is
h = 6.62 x 10^-34 Js
f is the frequency in hertz
So here:
f = c/λ
f = 3*10^8 m/s/3.5*10^-7 m
f = 8.57 x 10^14 Hz
E = 6.62 x 10^-34 Js x 8.57 x 10^14 Hz
E = 5.67 x 10^−19 J
(b)
Work Function = eVs where Vs is the stopping potential.
Vs = 1.25 V
e = 1.6 x 10^-19 C
Work function = 1.6 x 10^-19 C x 1.25 V
Work function = 2 x 10^-19 eV
Hence, the Cesium is the metal whose work function is 2 x 10^-19 eV
Maximum speed of emitted electrons is 5.67 x 10^−19 J
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A monatomic ideal gas is compressed at a constant pressure of 0.293 atm from a volume of 7.43 L to 3.32 L. In the process, heat energy flows out of the gas.
(a) What is the work done on the gas? Answer needs to be in J ( ± 2 J)
(b) What is the change in its internal energy? Answer needs to be in J ( ± 2 J)
The work done on the gas is 2.73 Joules and the change in internal energy of the system is -2.73 Joules.
The monoatomic gas is taken from 7.43L to 3.32L at a constant pressure of 0.293 atm.
(a) The work done for monoatomic gas is,
W = PΔV/(1-y)
P is pressure, V is volume and y is adiabatic constant which is 1.66 for monoatomic gas.
Putting values,
W = 0.293(3.32-7.73)/-0.44
W = 2.73 Joules.
So, the work done in this process is 2.73 Joules.
(b) In this process the change in internal energy is negative to the work done so, Change in internal energy of the system is -2.73 Joules.
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how would the presence of impurities in the objects you measured affect your results? archimedes lab
The presence of impurities in the objects you measured could affect your results in a variety of ways.
What is impurities?
Impurities seem to be chemical substances that differ from of the chemical composition of the substance or compound and are contained within a small volume of liquid, gas, or solid in chemistry as well as materials science. A pure chemical should, first and foremost, thermodynamically exist in at least each chemical step and also be distinguishable by its one-component phase diagram. Second, a pure chemical should, in practise, show to be homogeneous. All attempts as well as tests at further purification and separation will fail with the ideal pure chemical. Thirdly, it should be completely free of all traces of any other chemical species. Here, we concentrate on the common chemical definition.
Impurities can cause irregularities in the object's surface or internal structure, which can lead to inaccurate measurements. Impurities can also interfere with the accuracy of tests that measure physical or chemical properties of the object, such as its density or its electrical conductivity. Furthermore, impurities can lead to contamination of the measuring tools themselves, which can cause inaccurate results.
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A metal cools from an initial temperature of 225 oc to 25 oc and releases 160 j of heat energy. If the mass of the metal is 5. 0 g, what is its specific heat capacity?.
If a metal cools while releasing 160 j of heat energy, its specific heat capacity is 1.4222 J/kg. In the event that the metal weighs 5.0 g
How is the change of specific heat calculated given the temperature?
The equation q = mcT, where m is the sample mass, c is the specific heat, and T is the temperature change, can be used to determine how much heat is absorbed or lost by a sample (q).
T₁ = 225°C
T₂ = 25°C
q = -160 J
m = 5.0 g
As we know,
q = mcΔT
Now,
-160 = 5*c*(T₂-T₁)
-160 = 5*c*(25-225)
c = -160/5(-200)
c = 0.16 J/g°c.
How can you determine the ultimate temperature given the initial?
To calculate your substance's final heat, multiply the temperature change by the starting temperature.For instance, if your water started out at 24 degrees Celsius, it final
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what altitiudes should you see when operating vfr in level cruising flight at more than 3000' agl and what determines those altitudes
If you are more than 3,000 AGL, you must be flying at an odd-thousand MSL altitude +500 feet on a magnetic course of 0-179, in accordance with FAR 91.159. Additionally, if you are flying a magnetic course of 180-359, you should fly at an altitude of 1,000 feet plus 500 feet.
Altitude :
A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth. Depending on the context, different definitions and reference points are used. Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography.
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among irregular galaxies, what makes the large and small magellanic cloud especially useful for astronomers?
Among irregular galaxies, the large and small magellanic cloud are useful for astronomers to study because they are very close to us.
Why are large and small magellanic cloud special?The Milky Way's satellite galaxies are the Large and Small Magellanic Clouds. They are large, misty blobs of light that stand out against the night sky as some of the nearest galaxies to our home galaxy.
According to estimates, there are about 3 billion stars in the Small Magellanic Cloud and 30 billion stars in the Large Magellanic Cloud.
The Large and Small Clouds are thought to have originated between 12 and 13 billion years ago, at around the same time as our Milky Way.
Great galactic tides may have shaped them irregularly due to their repeated interactions with the larger Milky Way galaxy.
What is an irregular galaxy?The shapes of irregular galaxies are amorphous.They are packed with gas and dust and are among of the tiniest galaxies.These galaxies are undergoing intense star formation as a result of their abundance of gas and dust.This may enhance their intelligence.Uneven galaxies include the Large and Small Magellanic Clouds.They are two little galaxies that revolve around the Milky Way Galaxy in our own galaxy.Unusual galaxies make for about 20% of all galaxies.Can learn more about irregular galaxies from: https://brainly.com/question/1241789
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What can your employer do to protect you from overhead power lines? select the 3 answer options that apply.
To protect you from overhead power lines:
Keep a safe distance away from lines when working.
Ask the power company to ground and de-energize the electrical lines.
The only way to avoid being electrocuted is to wear PPE.
Have insulated sleeves, commonly referred to as "eels," installed over electricity wires by the utility provider.
What exactly do overhead power wires mean?
To carry electrical energy across long distances, an overhead power line is a structure used in electric power transmission and distribution. For three-phase power, it typically consists of one or more uninsulated electrical cables suspended from towers or poles.
The more precautions taken, the better in order to prevent the employee from being electrocuted by the electricity lines. The safety of the personnel must be ensured by taking all necessary precautions. Particularly when it comes to electrical wiring, problems might arise in a variety of ways.
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a suspension bridge oscillates with an effective force constant of 1.1 × 108 n/m.show answer no attempt 50% part (a) how much energy, in joules, is needed to make it oscillate with an amplitude of 0.095 m?
4.5 * 10⁷ J energy, in joules, is needed to make it oscillate with an amplitude of 0.095 m.
What is it Electrical amplitude?The highest payout of a current or voltage is its amplitude. Either of the diffraction signals of the sine wave can be used to symbolize it. The peak voltage is another name for this voltage level, which might be positive or negative. Positive and negative only describe the flow of current in one direction.
Briefing:From the periodic motion we know that the energy of the system :
E = 1/2 kA²
E is the system's energy reserve.
The spring's amplitude is denoted by A.
The spring constant is k.
A = 0.95 m
k = 1.1 × 10⁸
Putting in known data to obtain
E = 1/2 k A²
E = 1/ 2 * 100 * 10⁸ * 0.95²
E = 4.5 * 10⁷ J
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how much tension must a rope have if it is used to support a precious painting with a mass of m on a smooth, frictionless surface, inclined at an angle 6 with respect to the horizontal ground?
The tension must a rope have to support a certain mass with horizontal is 1.3671N.
A vertically twisted rope moves more quickly downward and more slowly upward. It needs the rope to exert a force with a tangential component in order to whirl it at a constant speed.Since we are working with idealized pulleys and strings, the mass m1 is ultimately connected to the axle of the movable pulley P1 dot.Due to the fact that a massless pulley can have no net force, pulley P1 has upward tension T1 and downward tension 2T1 dot. 2T1−T1=0 .We then move to pulley P2, which has an upward tension of 2T1, and that is seen to be zero. This equation can only be true if T1=0. Thus, the mass m2 under tension is also zero. In conclusion, there is no tension in the rope.T=mgsinФ
T=0.5 x 9.8 x sin6
=4.9sin6
=4.9 x 0.279
=1.3671N
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energy conservation with conservative forces: a 60-kg skier pushes off the top of a frictionless hill with an initial speed of 4.0 m/s. how fast will she be moving after dropping 10 m in elevation? air resistance is negligible.
As stated in the query, 14.57 m/s is the velocity at which one would go after descending 10 m in height.
What exactly is a frictionless encounter?A Frictionless Guest Experience: What Is It? Any stage in a customer's relationship with a business where they experience friction is when they run into a roadblock that brings them down or makes them unhappy. Customer gives seamless service, in the simplest fundamental way, entails monitoring their path and improving their encounter.
Briefing:Here we can use the concept of mechanical energy conservation
Ui + KEi = Uf + KEf
mgh₁ + 1/2 mv²i = mgh₂ + 1/2 mv²f
Now we know that,
vi = 4m/s
m = 60kg
h₁ = 0m
h₂ = -10m As its going down
now from above equation we will have
n + 1/2(60)(1)² = (60)(9.81)(-10)+1/2(60)v²f
180 = -5886 + 30v²f
v²f = 212.2
vf = 14.57m/s
So his speed will be 14.57m/s
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The distance between two consecutive crests in a wave train produced in a string is 5 cm. If two complete waves pass through any point per second. The velocity of the wave is15cm^-110cm^-12.5cm^-15cm^-1
The velocity of the wave is 10m/s .
A wave's velocity is determined by multiplying its frequency by its wavelength. The wavelength of a wave is defined as the space between two successive crests or troughs, and the frequency is the reciprocal of the wavelength in time.
We are given that,
The distance between two consecutive wave = λ = 5cm
The no. of waves = n = 2
The velocity of the wave can be calculated by the formula,
ν = nλ
v = 2 × 5 = 10cm/sec
Therefore the velocity of the wave would be 10 m/s .
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the acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth. an astronaut weighs 600 n on earth. the astronauts mass on the moon is most nearly:
Mass of the astronaut on the moon is 61.22 because the acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth.
Gravitational acceleration is the acceleration gained by an object due to the force of gravity.
Its SI unit is m/s².It has both magnitude and direction, so it is a vector quantity. Gravitational acceleration is represented by g. The standard value of g on the earth's surface at sea level is 9.8 m/s².Weight of the astronaut on the Earth = w = 600 N
Mass of the astronaut on the Earth = w/g
Mass m = 600/9.8
m = 61.22 kg
Mass of the astronaut will remain same on the Moon but the weight will change due to the change in the acceleration due to gravity on the surface of the moon.
Acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth i.e. g' = g/ 6
g' = 9.81/6
g' = 1.63
Weight of the Astronaut on the surface of the moon = m * g'
W' = 100.094 N
Mass will be 61.22 kg and the weight will be 100.94 N on the surface of the moon.
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