When the amplitude varies, it means twice as much.
Which instances of sinusoidal waves are there?Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.
Given:
if the string is given four times as much power.
According to the power that a sinusoidal wave on a stretched string transmits,
P =[tex]\frac{1}{2}[/tex] μω^A^2v
Where μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.
P ∝[tex]A^{2}[/tex]
Here, the only terms we need are power and amplitude.
A =K[tex]\sqrt{P}[/tex]
Where K is constant
Here, "power become quadruple" refers to four,
A = [tex]\sqrt{4P}[/tex]
A =2 [tex]\sqrt{P}[/tex]
Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.
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A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.
If a resistor, an inductor and a capacitor are connected in series, the phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.
A resistor , capacitor and inductor are key components of a RLC circuit. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.
Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an RLC circuit.
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a glass slab of thickness 3 cm and refractive index 1.67 is placed on on ink mark on a piece of paper. for a person looking at the mark from a distance of 9.8 cm above it, what well the distance to the ink mark appear to be in cm?
The distance to the ink mark appear to be in 3.58cm.
How do you define refractive index?The refractive index, also known as the index of refraction, is a numerical value that is determined by comparing the difference between the speed of light in a vacuum and that of light in a material with a higher density. The refractive index variable is most usually represented by the letter n or n' in mathematical computations and descriptive language.
The measurement of how much a light ray bends when moving from one medium to another is called the refractive index. It is also known as n = c/v, which is the ratio of the speed of a light beam in a substance to that of a light ray in a vacuum.
The perceived depth of the link noted = real depth/µ
The perceived depth of the link noted = 3/1.67
The perceived depth of the link noted = 1.79cm
So, the person sees the mark from a distance = 1.79+1.79 = 3.58cm
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if the age of the universe were compressed to one year, with the big bang on january 1, about when did the milky way galaxy system form? in january in february in september in december
February is the month that the Milky Way galaxy system begins to develop.
What is milky way galaxy?
The Milky Way is a massive cluster of stars, gas, and dust. Because it would appear to be a whirling pinwheel from the top or bottom, this galaxy is a spiral galaxy. About 25,000 light-years from the galactic center, on one of the spiral arms, is where the Sun can be found.
What is the Big Bang hypothesis?
According to the Big Bang hypothesis, the universe originated from a single, unfathomably hot, and dense point (also known as a "singularity") more than 13 billion years ago. It didn't happen at a location that was previously there. Instead, it was the one who started space's expansion and cooling.
Therefore, February is the month to be considered as the formation of the Milky way galaxy.
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A dog pulls on a pillow with a force of 5.6 N at an angle of 39 degrees above the horizontal. Assume the x-axis of a reference frame is along the horizontal and the y-axis is along the vertical. Find the x and y components of the force.
1. The x component of the force is 4.4 N
2. The y component of the force is 3.5 N
How do I determine the components of the force?The following data were obtained from the question:
Force applied (F) = 5.6 NAngle (θ) = 39 degreesx component =?y component =?1. How to determine the x component
Force applied (F) = 5.6 NAngle (θ) = 39 degreesx component =?x component = FCosθ
x component = 5.6 × Cos 39
x component = 4.4 N
2. How to determine the y component
Force applied (F) = 5.6 NAngle (θ) = 39 degreesy component =?y component = FSineθ
y component = 5.6 × Sine 39
y component = 3.5 N
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which combination of neurological imaging techniques contains two methods that utilize magnetic imaging?
MRI and FMRI are the combination of neurological imaging techniques contains two methods that utilize magnetic imaging.
A magnetic field and radio waves produced by a computer are used in the magnetic resonance imaging (MRI) medical imaging procedure to provide precise images of the organs and tissues inside your body.
Large, magnetized tubes are the common shape of MRI equipment. The magnetic field briefly realigns water molecules in your body as you lie within the MRI machine. To produce cross-sectional MRI pictures, which resemble the slices of a loaf of bread, radio waves induce these aligned atoms to emit tiny signals.
Your doctor can evaluate your organs, tissues, and skeletal system with an MRI without performing any intrusive procedures. It generates detailed images of the body's.
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a hydraulic lift used at an automotive repair shop raises a looo-kilogram car two meters off of the ground. what is the potential energy given to the car? * 1 point a) 1000 j b) 2000 j c) 10,000 j d)20,000 j
The potential energy provided to the car is 19600 joules, or around 20,000 j, when a 1000-kg car is raised two meter's off the ground using a hydraulic lift at an auto repair shop.
The energy that an item retains due to its position in hydraulic lift to other objects, hydraulic lift tensions, electric charge, or other Gravitational potential reasons is known as potential energy in physics. produces gravitational potential energy
GPE=mgh
where;
m equals the object's mass
g stands for the object's gravitational acceleration.
The height has increased by h in metres.
As The result is:
GPE = 1000kg*9.8m/s*2m
=19600kg m2/s2
=19600J
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What is the correct order of the planets in the solar system, starting closest to the sun?.
The correct order of the planets in the solar system, starting closest to the sun will be the order Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune followed by the possible Planet Nine.
The sun, our star, and everything gravitationally connected to it, including the moons, planets, and dwarf planets like Pluto, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, make up our solar system. The only known example of a habitable planet, the only star we can see up close, and the only planets we can explore with spacecraft are all found in the Solar System.
Understanding the formation and evolution of planets, as well as the conditions required for life, is dependent on studying the solar system. In a cloud of gas and dust known as the solar nebula, the Sun and the planets jointly created it 4.6 billion years ago.
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Which of the following is not a method of making magnets? A. Induction B. Beating a magnet on an object C. Electromagnetic D. Rubbing a magnet agains an object
Beating a magnet on an object is not a method of making magnets. The correct option to this question is B.
What are methods to prepare magnet?Paper-clip Note Magnet
Making a magnet out of a paper clip is the simplest method.
Collect goods: A small piece of metal can be used to create a quick temporary magnet, like a paper clip or a refrigerator magnet.
The induction approach entails merely bringing the magnetic material (soft iron) close to a powerful magnet without making contact.
Magnet using the electro magnetic approach in an image
Utilizing transmitters, electromagnetic (EM) techniques produce powerful, time-varying main magnetic fields that cause electrical currents to flow through conductive rocks.
Instead of moving it back and forth in the same direction, rub the paperclip magnet against the object. To fire a game, make the same swift action.
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surface waves are caused primarily by what? question 6 options: frictional forces between wind and the ocean surface frictional forces at the level of the thermocline layer primarily gravitational forces of the moon large aquatic organisms breaching the ocean surface
Frictional forces between wind and the ocean surface are the primary cause of surface waves. This is the first option.
How are surface waves formed?The most common cause of waves is wind. Surface waves, also known as wind-driven waves, are formed by the frictional forces between wind and surface water. The continual disturbance creates a wave crest as wind blows across the surface of the ocean or a lake. Surface waves are found globally across the open ocean and along the coast.
There is also a type of waves called tidal waves. Tidal waves are caused by the gravitational pull of the Sun and Moon on Earth.
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Element E is in group 1A and element D is in group 6A they form an ionic compound. What is the formula for this compound
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A ball released from the tree top if a height of 45m. How long does it take to reach the ground?
The ball will take 45 seconds to reach the ground.
U=0(since ball is dropping)
So, we have to find t=?
Given
a=-9.8m/s
S=45m
As we know,
S=ut+1/2at^2
so,
t^2=45×90/2
hence
t=45s.
so the time taken is 45 seconds.
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HELP ASAP
Imagine you have a new strand of lights wired in series-
parallel. All the bulbs are working as expected.
Which place in the circuit has the highest resistance?
The letter "B" is labeling what part of the wave?
B
Wavelength
Compression
Rarefaction
Amplitude
I don't think any of the choices on the list fits B.
B appears to be the time between two compressions, with a rarefaction between them labeled by C .
The pilot of a plane measures an air velocity of 45.8 m/s south relative to the plane. An observer on the ground sees the plane pass overhead at a velocity of 40.3 m/s toward the north. What is the velocity of the wind that is affecting the plane relative to the observer?
a) 5.6 m/s to the north
b) 5.6 m/s to the south
c) 45.8 m/s to the north
d) 86.1 m/s to the south
The velocity of the wind that is affecting the plane relative to the observer is 5.5 m/s north.
Option A is the correct answer.
What is the velocity of the wind relative to the observer?
The velocity of the wind relative to the observer is the velocity of the wind measured from the observer as a frame of reference.
The relative velocity of the plane from the observer as the frame of reference is calculated as follows;
Vr² = Vp² + Vw²
where;
Vr is the relative velocity of the planeVp is the plane's velocity Vw is the velocity of the windThe given parameters;
velocity of the plane, Vp = 45.8 m/svelocity of the wind, Vw = 40.3 m/sVr² = Vp² + Vw²
Vr = √(Vp² + Vw²)
Vr = √(45.8² + 40.3²)
Vr = 61 m/s
The velocity of the wind that is affecting the plane relative to the observer is calculated as follows;
Vo = 45.8 m/s north - 40.3 m/s south = 5.5 m/s north
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when two identical resistors are connected in series across the terminals of a battery, the power delivered by the battery is 20 w. if these resistors are connected in parallel across the terminals of the same battery, what is the power delivered by the battery?
If these resistors are connected in parallel across the terminals of the same battery, the power delivered by the battery is 80 W
Write the expression for the total power delivered by the battery in
parallel,Pp = 2P1
Here, Po is the total power delivered by the battery in parallel.
Pp = 2 [(ΔV)²/R]
= 4 [(ΔV)²/2R]
= 4Ps
Pp =4(20)
P =80 W
Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active components, and terminating transmission lines. Electrical resistance is provided by a resistor, a two-terminal electrical component. Resistors are mainly used to split voltages, block transmission signals, reduce current flow, and bias active components in electronic circuits.
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the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 1495 n with an effective perpendicular lever arm of 2.10 cm , producing an angular acceleration of the forearm of 125.0 rad / s2 . what is the moment of inertia of the boxer's forearm?
The moment of inertia of the boxer's forearm that has an angular acceleration of 125.0 rad / s² is 0.25 kg m²
τ = F * ⊥d
τ = Torque
F = Force
⊥d = Perpendicular distance
F = 1495 N
⊥d = 2.1 cm = 0.021 m
τ = 1495 * 0.021
τ = 31.395 N m
τ = I α
I = Moment of inertia
α = Angular acceleration
α = 125 rad / s²
I = τ / α
I = 31.395 / 125
I = 0.25 kg m²
Therefore, the moment of inertia of the boxer's forearm is 0.25 kg m²
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a motorcycle has a constant speed of 25.0 m/s as it passes over the top of a hill whose radius of curvature is 126 m. the mass of the motorcycle and driver is 342 kg. find the magnitudes of (a) the centripetal force and (b) the normal force that acts on the cycle.
The centripetal force on the motorcycle at the top of the hill is 1696.42 N and the normal force is 1723.57 N.
The speed of the motorcycle is 25 m/s and the mass of the motorcycle is 342 kg and the radius of curvature of the hill is 126m.
(a) The centripetal force on any curvature is given by,
F =MV²/R
Where,
F is the centripetal force,
M is the mass of the motorcycle,
R is the radius of curvature of the hill,
V is the speed at which it is travelling.
Putting all the values,
F = 342 x 25 x 25/126
F = 1696.42 N.
The centripetal force is 1696.42 N.
(b) At the top of the hill, the centripetal force and the normal force will be away from the ground and in opposite direction of the weight of the motorcycle,
N = W- F
W is the weight,
F is centripetal force and N is the normal force.
Putting values,
N = 3420 - 1696.42
N = 1723.57N.
The normal force is 1723.57 N.
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a man pulling an empty wagon causes it to accelerate at 1.4 m/s2 what will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the wagon? express your answer using two significant figures.
The acceleration will be 0.35 m/s^2 if he pulls with the same force when the wagon contains a child weighing 3 times of wagon.
What is acceleration and how the acceleration is calculated out to be so?Acceleration is a quantity which represents the force applied per unit mass of a substance .Here a man is pulling an empty wagon to accelerate at 1.4 m/s^2 and the question is asked the acceleration if pulled with same force.But the wagon contains a child whose mass is three times of the wagon .Considering 'M' the mass of wagon , 3M would be the mass of child and total mass = 4M.The pulling force on wagon would be 4Ma, since the force are equal , equating 1.4 M =4Ma , this implies a = 0.35m/s^2.So the acceleration with which the wagon is pulled is 0.35m/s^2 knowing the mass of child is three times the mass of wagon.To know more about acceleration visit:
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A 1.5 kg ball is dropped so that is is traveling at a velocity of -27 m/s when it hits the ground. If the ball rebounds upward with the same speed, what is the change in momentum of the ball?
Answer:
The change in momentum of the ball = 81 kg·m/s
Explanation:
Given:
m = 1.5 kg
V₁ = - 27 m/s
V₂ = + 27 m/s
____________
Δp - ?
The change in momentum of the ball:
Δp = m·ΔV
Δp = m· (V₂ - V₁) = 1.5·(27 - (-27)) = 1.5·(27 + 27) = 81 kg·m/s
A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.
The phase angle between the voltages of the capacitor and inductor in rlc circuit is 180°.
The phase angle is the component of a periodic wave. It is the shift between the AC current and the voltage on the measured impedance. The two elements of phase angle are reactance(X) and resistance (R).
The phrase for phase angle is, Xₐ = sinωt
where Xₐ= phase angle
ω = wavelength of the wave in 1 revolution
t = time period of 1 revolution
The instantaneous voltage ΔvR is in phase with the current, ΔvL leads the current by 90°, while ΔvC lags behind the current by 90°. The instantaneous values of these three voltages do add algebraically to give the instantaneous voltages across the RLC combination.
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humans evolved in earth's atmosphere, therefore the pressures interior to the body are relatively close to atmospheric pressure. because the differences between internal body pressures and atmospheric pressure are so small, individuals have a difficult time gauging the magnitude of atmospheric pressure. suppose an individual is lying on his stomach with sheets of paper stacked on his back. if each sheet of paper has a mass of 0.004400.00440 kg and is the standard letter size of 8.5 in8.5 in by 11 in11 in ( 0.216 m by 0.279 m0.216 m by 0.279 m ), how many sheets must be stacked to produce a pressure on his back equal to atmospheric pressure (roughly 101325 pa101325 pa )?
A total of 151988 sheets of paper are required to be put on the individual so that it create a pressure of 1 atm.
We know that the pressure is given by the force applied on the area divided by the magnitude of the area.
Here, it is given that dimensions of the paper is 8.5 inch X 11 inch.
So the area of the paper is 93.5 in².
Converting inch square into metre square,
Area = 0.06m².
The mass of 1 sheet of paper is 0.004 kg.
So the force applied by the sheet of paper on the person will be equal to,
F = 0.004 × 10
F = 0.04 N.
Let us say that n number of sheets are required.
The pressure that is needed to be created is 101325 pascals.
Now,
Pressure = force/area
Putting the values,
101325 = N(0.04)/0.06
N = 151988.
So, total of 151988 sheets are required.
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an outboard motor for a boat is rated at 35 hp. if it can move a particular boat at a steady speed of 35 km/h, what is the total force resisting the motion of the boat?
The total force resisting the motion of the boat will be 26850.6 Newton when an outboard motor for a boat is rated 35 hp.
What is force and what is the total force resisting the motion of the boat?Force is the quantity which is technically the product of mass and acceleration .Here the question is about a boat which is rated at 35 hp and speed of 35 km/h and the force resisting the motion of the boat is asked.Putting the formula P = F x v , that is power equals force multiply speed we can calculate the speed.F= P/V , converting power to watt , 35 hp= 35 x 745= 26,075 watt of the power used.Now converting speed into m/s , 35 km/hr = 35 x 5/18 = 9.7 m/s and then diving power and speed , 26075/ 9.7 = 26850 N.To know more about force visit:
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a plane electromagnetic wave has an average power per unit area of 153 w/m2 . a flat, rectangular surface, 18.2 cm by 45.1 cm, is placed perpendicular to the direction of the plane wave. if the surface absorbs half the energy and reflects half, calculate the net energy absorbed in 1.22 min. answer in units of j.
Knowing the power of the units and the electromagnetic waves is necessary to calculate the net energy unit.
What is power?
Power is the work completed in a given amount of time or time spent working. The joules per second (J/s)-based SI power unit is the Watt (W). Horsepower (hp), roughly equal to 745.7 watts, is sometimes used to describe the power of machines like motor vehicles.
What are electromagnetic waves?
Magnetic and electric fields vibrate together to produce electromagnetic waves, also known as EM waves. In other words, oscillating magnetic and electric fields make up electromagnetic waves (EM).
P=I*A=t=E/t
E=I*A*T
I= 153W/M^2
A=18.2*45.1*10^-4
A=0.082082
t=1.22mins = 1.22*60^S
t= 73.2
applying the formula E=I*A*T
E= 919.2855j
Therefore, the net energy absorbed in 1.22 min is 919.285j.
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considering the length of these contact lines, if the liquid (with surface tension ) makes a contact angle with the ring's surface, what is the total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward?
Droplets of liquid take on their shape due to surface tension.The uneven cohesive forces of the surface layer tend to draw water droplets into a spherical shape, despite their ease of deformation.
Does surface tension push or pull?When the cohesive forces between the liquid molecules are greater than the adhesion to the walls, capillary action results.Water adhesion to a vessel's walls causes the liquid near the borders to be forced upward.The entire liquid surface is drawn upward because the surface tension maintains the surface in place. Surface tension exerts a force that is tangential to the surface, whereas air pressure exerts a force that is perpendicular to the surface. The force transmitted through a rope, string, or wire when two opposing forces pull on it is known as tension. Surface tension depends on the nature of the liquid, the surrounding environment and temperature.To learn more about surface tension refer
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You throw a ball straight forward with a velocity of 20
m/s, from a height of 1 meter. How far will it be when it hits the ground after 0.45 seconds?
The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.
Why do we do it?The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.
D=1/2gt2 and T=√2d/g
By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:
t= √2(1.5m)/9.8m⋅s−2 = 0.553s
So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:
d= 20m/s(0.553s)= 1.11m
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a thin oil slick (index of refraction 1.50) floats on water (index of refraction 1.33). when a beam of white light strikes this slick at normal incidence from air, the only enhanced reflected colores are red (650nm) and violet (390 nm). what is the minimum thickness of the oil
The oil slick measures 325 nm thick, at the very least. There are a few methods for measuring slicks between 0.1 and 10 m (0.0001-0.001 mm), but these aren't helpful for oil spill cleanup.
What is an oil slick known as?An oil spill is the inadvertent release of a liquid petroleum hydrocarbon to the environment as just a consequence of human activity (also known as an oil slick). This is the typical definition of an oil slick; alternative definitions are covered in the article.
What does oily hair refer to?A combination of dark blue, green, or purple tones are applied to darker hair in this style, which is also known as oil spill hair because it gives the hair a shimmering appearance. It resembles the pastel hair style, but instead of using ultra-pale colors, deeper colours are blended to create the iridescent look..
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Projectile motion is a combination of _______________ motion in the horizontal direction, and ________________ motion in the vertical direction.
A. accelerated, accelerated
B. constant, constant
C. accelerated, constant
D. constant, accelerated
Projectile motion is a combination of constant motion in the horizontal direction, and accelerated motion in the vertical direction. Therefore, the correct answer option is: D. constant, accelerated.
What is projectile motion?Projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.
Based on scientific research and records by scientists such as Galileo, we can infer and logically deduce that the initial horizontal velocity of a physical object undergoing a projectile motion is always equal to its final horizontal velocity.
Additionally, Galileo stated that projectile motion combines constant or uniform motion in the horizontal direction and accelerated motion in the vertical direction.
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After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.
The law that explains it is called the law of conservation of energy.
What does the law mean?The law of conservation of energy states that in an isolated system, the total energy remains constant, i.e., the total energy is conserved over time. Therefore, the initial energy of an isolated system is equal to the final energy of the system. As a result, energy can neither be destroyed nor created. Energy can only be transferred or transformed from one from to another.
The law of conservation of energy can be mathematically expressed as K₁ + U₁ = K₂ + U₂ where K₁ is the initial kinetic energy, U₁ is the initial potential energy, K₂ is the final kinetic energy and U₂ is the final potential energy.
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an object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 260 n/m . when the object is 0.019 m from its equilibrium position, it is moving with a speed of 0.65 m/s . part a calculate the amplitude of the motion. express your answer to two significant figures and include the appropriate units.
The amplitude of the motion is A = 7.3*10⁻²m and the maximum speed attained by the object Vmax=0.66 m/s
speed v= 0.65 m/s
Angular speed is ω,
ω = √k/m=√260/3.1=9.15 s⁻¹
Amplitude = A is
A = √x²+v²/ω²
=√0.019²+0.65²/9.15²=0.073m
A=7.3*10⁻²m
Vmax=ωA=9.15*0.073
Vmax=0.66 m/s
The distance in amplitude between the wave's resting position and its highest movement. quantity of waves travelling by a particular point each second. The length of time it takes for one wave cycle to end. We experience loudness or volume as a function of the relative strength of the sound waves (transmitted vibrations).Amplitude is a tool for studying data on user behavior. It helps the growth, product, and marketing teams make decisions by drawing conclusions about user behavior from data. Understanding user behavior better can assist a business in developing fresh approaches to increase user engagement, customer loyalty, and income.
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two runners are jogging around a circular track with the same angular velocity. one runner is jogging with a speed v1 at a radius of 15 m and the second is jogging at a speed v2 at a radius of 18 m. what is the ratio of their linear speeds, v2/v1?
5:6 is the ratio of linear speed of two runners in jogging. The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
The speed of the person one at the radium is v1=15
The speed of the person two at the radium is v2=18
The ratio be 15:18 , The 15 and 18 are the common multiple of 3
Therefore 5:6
The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. A specification of a thing's speed and direction of motion is what velocity is.
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