The speed of the cart just before it hit the spring is 3.42 m/s.
Elastic potential energy is the energy that is stored when a force is applied to deform an elastic object.
Given the mass of the cart is 12 kg, the spring constant is 220 N/m, and the compressed length is 80 cm.
Given that the runaway grocery cart compresses the string. When this cart stops, the kinetic energy (KE) of this cart becomes zero because of maximum compression. This KE will be converted to the elastic potential energy of the spring. Then,
[tex]\begin{aligned}U&=\frac{1}{2}kx^2\\&=\frac{1}{2}\times220\times0.80^2\\&=\mathrm{70.4\;J}\end{aligned}[/tex]
This elastic potential energy is equal to the initial KE.
[tex]\begin{aligned}70.4&=\frac{1}{2}\times 12\times v^2\\140.8&=12v^2\\v^2&=11.73\\v&=\mathrm{3.42\;m/s}\end{aligned}[/tex]
The answer is 3.42 m/s
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Select the true statement.
A. Refractive index is directly proportional to temperature.
B. Refractive index is directly proportional to wavelength.
C. Refractive index is inversely proportional to temperature.
D. Refractive index is inversely proportional to wavelength.
E. Both C and D
Option D-Refractive index is inversely proportional to wavelength.
Refractive index, often known as the index of refraction, is a measurement of the way a light beam bends when it travels through different media. The refractive index n is determined by dividing the sine of the angle of incidence by the sine of the angle of refraction, i.e., n = sin I / sin r, assuming that I is the angle of incidence of a ray in vacuum (angle between the incoming ray and the normal, which is perpendicular to the surface of a medium). Additionally, the refractive index is determined by dividing the speed of a specific wavelength of light in vacuum, c, by that same wavelength's speed, v.
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you have a horizontal grindstone (a disk) that is 85 kg, has a 0.31 m radius, is turning at 91 rpm (in the positive direction), and you press a steel axe against the edge with a force of 21 n in the radial direction.
Angular speed , wi = 91 rpm
wi = 91 * 2pi/60 rad/s
wi = 9.11 rad/s
Frictional force , f = 0.20 * 16 = 3.2 N
part a) let the angular acceleration is a
Using the second law of motion
0.50 * 85 * 0.31^2 * a = 3.2 * 0.31
solving for a
a = 0.242 rad/s^2
The angular acceleration is 0.242 rad/s^2
b) Let the angle is theta
theta = 9.11^2/(2 * 0.242)
theta = 170 radian = 27.2 turns
The number of turns is 27.2
Angular velocity is the speed of an object in rotational motion. The distance traveled is denoted by θ and is measured in radians. Duration is measured in seconds. Angular velocity is therefore expressed in radians/second, or rad/s. Angular velocity is measured in radians per unit of time because it is the rate at which the central angle swept by an object changes as it moves around a circle.
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a small car's engine can deliver a maximum power of 130kw the car's mass is 1000kg assume the total resistive force is proportional to the velocity the drag coefficient is a
The total resistive force is proportional to the velocity the drag coefficient is a 0.1296
The drag coefficient Cd is the same as the drag D divided through the quantity: density r instances half the speed V squared instances the reference location A. The drag coefficient then expresses the ratio of the drag force to the pressure produced with the aid of the pressure times the place.
Calculation:-
P = VF
we find P = αv²
v = √p/α
= √ 130000 / 100
= 36 m/s
a = v²/f
= 36 × 36/ 10000
= 0.1296
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NEED HELP PLS If you weigh 982 N on Earth, what would your weight be on the surface of Jupiter?
g = 9.8 m/s^2 on Earth's surface
g = 26.0 m/s^2 on Jupiter's surface
mass of the Earth is 6 x 1024 kg
mass of Jupiter is 1.9 x 1027 kg
radius of Earth is 6.4 x 106 m
radius of Jupiter is 7 x 107 m
Round your answer to the nearest whole number.
(ANSWER IS 2605 BUT I NEED TO KNOW HOW TO GET THE ANSWER)
The magnitude of your weight on the surface of Jupiter is 2,605.2 N.
What is your mass?
The magnitude of your mass which does not change on both Earth and Jupiter is calculated from your weight on Earth by applying Newton's second law of motion as follows;
W = mg
where;
m is your massg is acceleration due to gravity on Earthm = W / g
m = 982 N / ( 9.8 m/s²)
m = 100.2 kg
The magnitude of your weight on the surface of Jupiter is calculated as follows;
W = mg
where;
m is your massg is acceleration due to gravity on JupiterW = 100.2 kg x 26 m/s²
W = 2,605.2 N
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A loudspeaker at the origin emits a 110 Hz tone on a day when the speed of sound is 340 m/s. The phase difference between two points on the xxx-axis is 6.0 rad .
What is the distance between these two points? Express your answer with the appropriate units.
The distance between the two points on a loudspeaker that initially emits a 110 Hz tone with a sound speed of 340 m/s = 18.54 m.
Traveling and stationary wavesTraveling waves are waves that have a fixed amplitude. Meanwhile, a stationary wave is a wave whose amplitude changes at every point.
The phase difference is the difference in the phases of the waves or stages of the waves. Mathematically, the phase difference is formulated as follows:
Δφ = Δx/λ
We have,
The frequency = (110 Hz) ⇒ f
The speed of sound = 340 m/s ⇒ v
The phase difference between two points = 6.0 rad ⇒ Δφ
Determine the wavelength first,
λ = v/f
= 340/110
= 3.09 m
So, the distance between these two points:
Δφ = Δx/λ
(6.0) = Δx/3.09
Δx = 18.54 m
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two compounds with partition coefficients of 0.15 and 0.18 are to be separated on a column with vm/vs. Calculate the number of theoretical plates needed to produce a resolution of 1.5?
The number of theoretical plates are 1757.
What is partition coefficients ?
The ratio of a compound's equilibrium concentrations in a combination of two immiscible liquids is known as a partition coefficient (P) or distribution coefficient (D). This ratio so compares the solubilities of the solute in these two liquids.
What is resolution ?
Resolution of the vector is the process of dissolving a vector into its parts. The components will result in the same vector when combined together vectorially. In general, we divide a vector into three parts: the x-component, the y-component, and the z-component. y-component is the name given to a component that runs along the y-axis.
The ratio of the partition coefficients of the two components ( ∝)
K ₂/ K₁ = 0.18/ 0.15= 1.2
The relationship between no. of plates and resolution is ask follows
R= [tex]\sqrt{N}[/tex]/ 4 (∝- 1/∝) (K₂/K₂+1)
Calculate K₂ by using K₂ and Vsm as follows
K₂= K₂ ( Vs/ Vm )
18*1/3= 6
calculate the number of plates ( N) as follows
R= [tex]\sqrt{N}[/tex]/4 (∝- 1/∝) (K₂/K₂+1)
[tex]\sqrt{N}[/tex]= R*4/(∝- 1/∝) (K₂/K₂+1)
N = ( r*4/ (∝- 1/∝) (K₂/K₂+1))²= [1.5*4/ ( 1.2-1/ 1.2) ( 6/ 6+1)]²= [6/(0.167) (0.857)]² = 1757
Therefore, number of theoretical plates are 1757.
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Beta-carotene is an organic compound with an orange color. The diagram above shows the ultraviolet spectrum of beta-carotene. Which of the following statements is true about the absorption bands in the spectrum?
The two main absorption bands are associated with transitions in electronic energy levels. The band in the region corresponding to shorter wavelengths shows a lower absorbance than the band in the region corresponding to longer wavelengths.
The two primary absorption bands are connected to changes in the energy levels of electrons. In comparison to the band in the region corresponding to longer wavelengths, the band in the shorter wavelength region has a lower absorption.
What is Beta-carotene?Plants have a pigment called beta-carotene that gives them colour. The Latin term for carrot is source of the name beta-carotene. Fruits and vegetables that are yellow or orange derive vibrant colors from it. Additionally, the foods like margarine are colored with beta-carotene.
Beta-carotene transforms into vitamin A in the body (retinol). For clear eyesight and healthy eyes, a robust immune system, and healthy skin and mucous membranes, we require vitamin A. Vitamin A in large levels can be poisonous, but your body only makes as much of the vitamin from beta-carotene as is required. In light of this, beta-carotene is regarded as a secure source of vitamin A.
For smokers, meanwhile, consuming too much beta-carotene can be harmful. It is safe to consume large doses of vitamin A or beta-carotene through food rather than supplements.
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A single wave is initiated in a sea by a strong jolt during an earthquake. Taking the average water depth to be 2 km and the density of seawater to be 1.030 kg/m^31.030kg/m 3 , determine the speed of propagation of this wave.
The speed of propagation of the wave is approximately 140 meters per second.
The speed of a wave is determined by the properties of the medium through which it travels and the strength of the force that initiated the wave. In this case, the wave was initiated by an earthquake and is traveling through seawater. To find the speed of the wave, we can use the formula v = sqrt(g*d), where v is the speed of the wave, g is the acceleration due to gravity, and d is the average water depth. Using the given values of the density of seawater, the average water depth, and the acceleration due to gravity, we can calculate the speed of the wave to be approximately 140 meters per second. This means that the wave will travel at a speed of 140 meters per second through the seawater.
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stunt motorcyclist biker sally rides her bike inside a futuristic rotating space station-a giant rotating donut-shaped structure in space. the normal support force feels like weight to her
As he rides in the same direction of rotation of station, the normal force increases and as he rides in opposite direction of motion, normal force decreases.
The gravitational force has not disappeared in space station, but astronauts feel weightlessness. This is because of microgravity. It happens when an object is falling freely.
Both the astronauts and the ISS are orbiting around the Earth. This means, they are in a state of freefall towards the Earth.
On the ISS therefore, the acceleration due to gravity is not zero. In fact the gravitational field inside the ISS is almost as large as that they are exposed to on the Earth.
As there is presence of gravity, there is also presence of opposite normal force. This force increases when rotation along with earth in same direction and it decreases when rotating in opposite direction.
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Volume (m3) 1.337E+0 moles of an ideal diatomic gas undergoes a transition from a to c along the diagonal path in the figure. The temperature of the gas at point a is 900 K. During the transition, what is the change in internal energy of the gas? Submit Answer Tries 0/10 How much heat is added to the gas in going directly from a to c? Submit Answer Tries 0/10 How much heat must be added to the gas if it goes from a to c along the indirect path abc? Submit Answer Tries o/10
The change in internal energy of gas is Delta U = 1.337E+0 moles * (5/2)R * (900 K - Tc) Where Tc is the temperature of the gas at point c. the heat added to the gas in going directly from a to c is Q = 1.337E+0 moles * (5/2)R * (900 K - Tc).
To find the change in internal energy of an ideal gas during a process, you can use the equation: Delta U = n * Cv * Delta T Where Delta U is the change in internal energy, n is the number of moles of the gas, Cv is the molar specific heat capacity at constant volume, and Delta T is the change in temperature. For a diatomic gas, the molar specific heat capacity at constant volume is Cv = (5/2)R, where R is the ideal gas constant. Plugging in the given values, you get: Delta U = 1.337E+0 moles * (5/2)R * (900 K - Tc). To find the heat added to the gas in going directly from a to c, you can use the equation: Q = Delta U + Delta (PV) Where Q is the heat added to the gas, Delta U is the change in internal energy, and Delta (PV) is the change in the product of pressure and volume. For an ideal gas, the change in internal energy is equal to the heat added, so you can simply use the equation: Q = Delta U Plugging in the values, you get: Q = 1.337E+0 moles * (5/2)R * (900 K - Tc).
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Fran has a job involved with controlling the flow of oil through a series of pipelines at the refinery. As a part of his work, he needs to interpret diagrams, levels, and readings from gauges. He also needs to be ready with the appropriate procedures in case of an emergency.
Energy Transmission
Frank works at the station, where he has to manage the transmission of energy and the flow of oil.
What professions fall within the energy career cluster?The programs in the Energy Career Cluster educate students for employment in planning, managing, and providing technical support services for the production, transmission, and distribution of various sources of energy. Technicians, linemen, pipelayers, and welders are a few professions.
Which professional paths in energy are suitable for renewable energy?4 Jobs in the renewable energy sector are overwhelmingly in demand-side roles like installation and sales. Component manufacturing, project planning, building, financing, engineering, system analysis, and operations and maintenance are some of the other well-liked careers in the renewable energy sector.
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a television camera at ground level is filming the lift-off of a rocket at a point 800 meters from the launch pad. let be the angle of elevation of the rocket and let s be the distance between the camera and the rocket (see figure). write as a function of s for t
The function of θ in term of s is θ = arctan(s/75).
The value of θ is s is 900 and 1500 are 85,24 degrees and 87.14 degrees respectively.
Find the diagram attached. From the diagram, we are given the following:
Opposite = s
Adjacent = 75
According to SOH CAH TOA identity;
tanθ = opp/adj
tanθ = s/75
θ = arctan(s/75)
Hence the function of θ in term of s is θ = arctan(s/75)
b) If s=900meters
θ = arctan(900/75)
θ = 85,24 degrees
If s = 1500
θ = arctan(1500/75)
θ = 87.14 degres
Hence the value of θ is s is 900 and 1500 are 85,24 degrees and 87.14 degrees respectively.
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If a monkey floating in outer space throws his hat away, the hat and the monkey will both
move away from each other, but at different speeds
If a monkey floating in outer space throws his hat away, the hat and the monkey will both move away from each other, but at different speeds.
Assuming that the floating monkey is in deep space away from any celestial bodies with a strong gravitational force and the hat is outside of the spacesuit and less massive than the monkey, then the hat and the monkey both will move away from each other, but at different speeds. On the basis of law of attraction, when the monkey threw the hat forward, the hat would push the monkey back.
As the monkey is heavier compared to the hat, its acceleration would be smaller than that of a hat which is less massive.
Due to this, the monkey moves back slower compared to that of a hat which moves forward at a greater speed.
They cannot move away from each other at the same speeds unless the mass of both the bodies is same. There is no friction in space so, there is nothing that would slow down their motion or let them stop unless they collide with other bodies in space.
The question is incomplete. The missing options are A) move away from each other, but at different speeds B) move away from each other at same speed C) move a short distance and then slow down D) move a short distance and then go faster E) come to a stop after few minutes
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violent media can increase aggression through which of the below processes: observational learning operant conditioning classical conditioning
Through operant conditioning, which uses both positive and negative reinforcement and punishment, aggression can be directly learnt.
More specifically, it has been demonstrated that the classical and instrumental conditioning paradigms are followed in the learning of aggression, and it has been hypothesised that responder and operant processes in aggression may coexist. Aggression is learnt through reinforcement, either positive reward (behaving aggressively may win you respect and praise) or negative reinforcement, according to operant conditioning (aggressive behaviour may make unpleasant things stop, by scaring people away). Children pick up new forms of harmful and destructive conduct and learn that aggressiveness is an acceptable and effective means of achieving one's goals through witnessing aggressive people in their immediate environment, such as their parents, peers, and television characters.
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which of the following seas was formed by glacier scouring of a river valley during the last ice age? quizleet
Answer: I think it's The Baltic Sea and The Black Sea
a roller coaster car moves along the track from position a to position b as shown. which of the following statements describe the changes in kinetic energy and potential energy (pe) observed during this path?
A roller coaster car moves along the track from position a to position b. The changes in kinetic energy and potential energy observed during this path is its kinetic energy will increase while its potential energy decreases.
As the roller coaster car moves from position A to position B, its kinetic energy (KE) will increase while its potential energy (PE) decreases. This is because the roller coaster car is being accelerated by the force of gravity as it moves downhill, which increases its kinetic energy. At the same time, the roller coaster car is losing potential energy because it is moving from a higher position (position A) to a lower position (position B).
The total energy of the roller coaster car (KE + PE) is conserved, which means that the increase in kinetic energy is equal to the decrease in potential energy. In other words, the change in KE is equal in magnitude but opposite in sign to the change in PE. This relationship between kinetic energy and potential energy can be described using the principle of conservation of energy, which states that energy cannot be created or destroyed, only converted from one form to another. In this case, the potential energy of the roller coaster car is being converted into kinetic energy as the car moves downhill.
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Question - A roller coaster car moves along the track from position a to position b as shown. What describes the changes in kinetic energy (KE) and potential energy (PE) observed during this path?
a simple harmonic oscillator consisting of a spring and a block oscillates on the horizontal plane at amplitude aa. at which of the following positions is the net force on the block at its maximum magnitude and pointing in the positive xx direction?
The net force on the block is at its maximum magnitude and pointing in the positive x direction when the block is at the extreme right end of its oscillation, where the displacement of the block is equal to the amplitude a.
What is oscillation?Oscillation is a repeating motion between two or more points. It can refer to the motion of a physical object, a sound wave, an electromagnetic wave, or any other type of wave. Oscillation is a fundamental concept in many branches of physics, such as mechanical, electrical, and acoustics. Examples of oscillation include a swinging pendulum, a vibrating guitar string, the sound of a siren, and the regular vibrations of an AC electrical current.
At this point, the spring is stretched to its maximum and is exerting a force in the positive x direction on the block. This is the only position at which the net force on the block is at its maximum magnitude and pointing in the positive x direction.
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Question 20 (1 point) What is the maximum theoretical efficiency possible for a heat engine operating between a reservoir in which ice and water coexist, and a reservoir in which water and steam coexist? The pressure is constant at 1.0 atm for both reservoirs. 100% 27% 45% 17% 73%
The maximum theoretical efficiency possible for a heat engine operating between a reservoir in which ice and water coexist is 27 %.
Heat engines often operate at around 30% to 50% efficiency, due to practical limitations. It is impossible for heat engines to achieve 100% thermal efficiency, according to the Second law of thermodynamics.
The Carnot cycle is a theoretical power cycle and is used for showing the theoretical maximum of a heat engine.
The energy consumption, theoretical value is the value when computers operate following the power saving settings on individual computers and the sample settings.
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A satellite of mass M moves in a circular orbit of radius R with constant speed v. True statements about this satellite include which of the following? I. Its angular speed is v/R. II. Its tangential acceleration is zero. III. The magnitude of its centripetal acceleration is constant. (A) I only (B) II only (C) I and III only (D) II and III only (E) I, II, and III
A satellite with mass M travels at a constant velocity v in a circle with radius R. Then its centripetal acceleration is constant, its tangential acceleration is zero, and its angular speed is v/R.
The earth launches satellites into orbit around it. To place the satellite in the desired orbit, many rockets are launched from the satellite at the appropriate time. The satellite will continue to move in an orbit under the pull of the earth's gravity once it has been placed in the desired orbit and is moving at the appropriate speed for that orbit.This satellite has potential energy because it is in a gravitational field and has kinetic energy since it circles around the planet. A satellite's kinetic energy is equal to half its gravitational energy, as shown by, Gravitational energy has a value of GMm/r, hence kinetic energy has a value of GMm/2r and is positive.
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A string that is under 55.0 N of tension has linear density 4.20 g/m . A sinusoidal wave with amplitude 3.10 cm and wavelength 1.70 m travels along the string.
What is the maximum velocity of a particle on the string?
A string that is under 55.0 N of tension has linear density 4.20 g/m. The maximum velocity of a particle on the string is 114.4 m/s
The speed of a transverse wave on a string under tension is given by:
v = sqrt (T/μ)
Where:
v = speed or velocity of the wave
T = tension on the string
μ = density per unit length
In the given problem:
T = 55 N
μ = = 4.2 g/m = 4.2 x 10⁻³ kg/m
Plug these parameters into the formula:
v = sqrt (T/μ)
= sqrt (55 / 4.2 x 10⁻³ ) = 114.4 m/s
The maximum velocity of a particle on the string is equal to the velocity of the transverse wave, that is 114.4 m/s
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A pickup truck is carrying a toolbox, but the rear gate of thetruck is missing, so the box will slide out if it is set moving.The coefficients of kinetic and static friction between the box andthe bed of the truck are 0.355 and 0.600, respectively.
Starting from rest, what is the shortest time this truck couldaccelerate uniformly to 39.0 m/s without causing the box to slide. (Hint:First use Newton’s second law to find the maximumacceleration that static friction can give the box, and then solvefor the time required to reach 39.0
Friction is equal to 0.3 and the coefficient of kinetic friction to 0.2, a sufficient force must be supplied to overcome the static friction in order for the toolbox to begin moving. amax Us*g is equal to 0.3*9.8 or 2.94 m/s.
What is an example of the coefficient of friction?The materials being used have an impact on the coefficient of friction. For instance, rubber on the pavement has a high coefficient of friction, which prevents the materials from sliding past one another as readily as ice on steel, which has a low coefficient of friction.
What are the two friction coefficients?The static friction coefficient and the kinetic friction coefficient are the two different types of friction coefficients. While the latter is frequently referred to as the dynamic or sliding friction coefficient, the former is sometimes known as the starting friction coefficient.
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air enters the diffuser of a ramjet engine at 25 kpa, 220 k, with a velocity of 3080 km/h and decelerates to negligible velocity. on the basis of an air-standard analysis, the heat addition is 900 kj per kg of air passing through the engine. air exits the nozzle at 25 kpa. determine
Pressure of air in Engine nozzles is 762,67 Kpa
Engine having difference nozzles
air enter at 25Kpa ,220k
v = 3080 km/hr = 855.55m/s
In combustion chamber
h2 + Q = h3
Cp T2 + Q = h3
CpT2 + Q = CpT3
T3 = T2 + 900/1.005 = T2 + 895.52 = 1479.63K
Also in difference
P2/p1 = [tex](T2/T1)^{r/r-1}[/tex] = (584.168/220)^1.4/0.4 = 25 × (2.6533)^1.4/0.4
P2 = 762,67 Kpa
There are many other types of energy that are available, such as potential energy, heat energy, chemical energy, electric potential, nuclear energy, and potential energy from the Earth's gravitational field, which is used to generate hydroelectric power (from nuclear fission or nuclear fusion). Heat engines play a specific role in many of these processes since heat is frequently produced as an intermediate energy type. Some naturally occurring mechanisms, like atmospheric convection cells, transform environmental heat into motion (e.g. in the form of rising air currents). While it also plays a function in many industrial processes like cutting, grinding, crushing, and mixing, mechanical energy is particularly significant in the transportation sector.
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electronic watches keep accurate time using crystal oscillators. inside the watch, there is a tiny block of quartz which vibrates. two opposite faces of the block move alternately toward each other and away from each other. this is a caused by a standing wave in the block. the two opposite faces are at antinodes, and the plane halfway between these two faces is at a node. if the two faces are 7.79 mm apart and the speed of sound in quartz is 3.72 km/s, find the frequency of the vibration.
The frequency of the variation is 238.76 kHz.
The frequency of a repeated event is its number of instances per unit of time. It is measured in hertz and corresponds to one event per second. Time period is the reciprocal of frequency as period is the time interval between events.
Frequency is an important parameter used in science to describe the speed of vibrations and vibrational phenomenon such as mechanical vibrations, audio signals, radio waves and light.
Now, let us calculate the frequency of vibration,
λ/4 + λ/4 = 7.79 mm
λ = 2* 7.79 = 15.58 mm = 15.58 * 10⁻³ m
We know that,
f = v/ λ = (3.72* 10³)/15.58 * 10⁻³ = 0.238 * 10⁶ Hz = 238.76 kHz
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Divers in Acapulco dive from a cliff that is 54 m high. If the rocks below the cliff extend outward for 16 m, what is the minimum horizontal velocity a diver must have to clear the rocks?
The minimum horizontal velocity the diver must have to clear the rocks, given that it extend outward for 16 m is 4.82 m/s
How do I determine the horizontal velocity?We'll begin by obtaining the time taken for the diver to reach the ground. Details below
Height (h) = 54 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) =?h = ½gt²
54 = ½ × 9.8 × t²
54 = 4.9 × t²
Divide both side by 4.9
t² = 54 / 4.9
Take the square root of both side
t = √(54 / 4.9)
t = 3.32 s
Now, we shall determine the horizontal velocity the diver must have. Detail below:
Horizontal distance (s) = 16 mTime (t) = 3.32 sHorizontal velocity (u) = ?s = ut
16 = u × 3.32
Divide both sides by 3.32
u = 16 / 3.32
u = 4.82 m/s
Thus, the horizontal velocity is 4.82 m/s
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Find 5 Galaxies With Redshifts Less Than 0.001 And 10 Galaxies With Redshifts Greater Than 0.001. Record The Redshift And Distance And Calculate The Radial Velocity (Using The Method From Question 3) For Each Of These Galaxies. Make Sure You're Recoding The Distance In Mpc, If The Distance Is Given In Kpc Rather Than Mpc You Can Convert It Into Mpc Using TheThis question hasn't been solved yetAsk an expertFind 5 galaxies with redshifts less than 0.001 and 10 galaxies with redshifts greater than 0.001. Record the redshift and distance and calculate the radial velocity (using the method from Question 3) for each of these galaxies. Make sure you're recoding the distance in Mpc, if the distance is given in kpc rather than Mpc you can convert it into Mpc using the converstion 1000 kpc = 1 Mpc. You can use the tables on the second page of the lab for this if you want, but you can use normal paper as well, just make sure you don't reuse galaxies on accident.Graph all the galaxies with positive redshifts (don't use galaxies with negative redshifts) in excel or a similar spread sheet program with distance in Mpc on the x-axis and radial velocity in km/s on the y-axis (make sure you label the axis as such). Create a line of best fit for this graph and display the equation on the graph. If you're not sure how to do this, see the Excel Tutorial video.
The 5 galaxies with redshifts less than 0.001 are Ages, cosmos , hypernova , Gama , VVDS and greater than 0.001 are Devils, achne, simar , vipers, MGC, 2SLAQ,QCD, SAPM,AARS and ESP.
A more tricky task is determining the distance to the galaxy. For nearby galaxies, standard candlesticks such as Cepheid variables and Type I supernovae can be used. But in very distant galaxies, we have to resort to more indirect methods. The main assumption of this lab is that similar Hubble-type galaxies are actually similar true sizes no matter how far apart they are. This is known for adopting the "standard ruler". First, we need to adjust the actual size using a galaxy whose actual distance is known. Find the galaxies in the sample that are Sb galaxies to calibrate the distance using the nearby Sb galaxy M31, the Andromeda galaxy. The distance to the Andromeda Galaxy is known from observations of Cepheid variable stars. Then, to determine the distances to more distant similar galaxies, we only need to measure their apparent (angular) magnitudes and use the small-angle approximation: a=s/dTo study more about Andromeda galaxy -
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if you stand on a bathroom scale, the spring inside the scale compresses 0.60 mm , and it tells you your weight is 700 n .
The Kinematics of Spring Motion is 73730 N
Kinematics of Spring Motion:
An elastic spring abides by Hooke's law, which states that the force needed to stretch or compress a spring is inversely proportional to the length of the spring in question. Simple harmonic motion is performed by a mass that is connected to a spring.
According to Hooke's law, compression in spring is related to applied force as following.
F applied = -kx
Where,
k = force constant
x = compression in spring
Step 1)First, we will determine force constant of spring
k = 730/ (0.40*10-3)
k = 1825000 N/m
Step 2)We will determine compression in bathroom scale when man jumps on the scale.
m g (H+x) = 0.5 k x2
730 * (2.0 + x) = 0.5 * 1825000 * x2
0.0008 * (2.0 + x) = x2
x2 - 0.0008 x - 0.0016 = 0
x = 0.04040 m, -0.03(rejected since negative)
Hence,
F = k x = 1825000 * 0.04040 = 73730 N
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using the following standard normal density curve, determine what is the probability that a random variable zz less than 2.122.12?A) 0.983210.98321B) −0.32774−0.32774C) −1.6387−1.6387D) 39.32839.328E) 0.491600.49160F) 1.31091.3109G) None of These
By using the following standard normal density curve, 0.9832 i.e. option (A) is the probability that a random variable zz less than 2.122.12.
The probability that a random variable z is less than 2.12 using a standard normal density curve, you need to find the area under the curve to the left of 2.12. A standard normal density curve is a bell-shaped curve that is symmetrical about the mean (which is 0 for a standard normal curve). The curve is defined by the equation:
= f(z)
= 1/(sqrt(2π)) x e^(-z^2/2)
where z is the random variable and f(z) is the probability density function.
The area under the curve to the left of 2.12 is the sum of the probabilities of all the values of z that are less than 2.12. This area can be approximated using the standard normal table, which gives the probability of values of z corresponding to certain standard deviations from the mean. Looking up the value of 2.12 in the standard normal table, you will find that it corresponds to a probability of approximately 0.9832. Therefore, the probability that a random variable z is less than 2.12 is approximately 0.9832, and the correct answer is "0.9832".
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Blue light of wavelength 465 nm passes through an interference grating with a slit spacing of 0.003 mm and makes an interference pattern on the wall.
How many bright fringes will be seen?
9
11
13
15
The number of bright fringes formed by the blue light will 11.
The wavelength of the blue light is given to be 465mm and after passing through the interference grating of slit spacing of 0.003mm it makes an interference pattern on the wall.
Now, the number of bright fringes formed on the wall can be founf by using the relation,
dsinA = m/y
Where,
d is the spacing between the slits,
A is the angle between the interference pattern and the grating plate,
m is the number of fringes,
y is the wavelength of the light.
Putting values,
0.003 x sin(5) = m/4650
0.003 x 0.08 = m/4650
m = 11
So, a total of 11 bright fringes will be observed.
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two small speakers a and b are driven in step at 725 hz by the same audio oscillator. these speakers both start out 4.50 m from the listener, but speaker a is slowly moved away. (see (figure 1)).
The speakers produce the second destructive interference at the distance of 0.704 m.
Let us take the speed of sound v as 340 m/s.
The frequency f of sound is given as 725 Hz.
The wavelength is calculated to be,
λ = v / f = 340/ 725 = 0.469 m
For destructive interference, distance is given as,
d = (2k - 1) * λ/2
For second destructive interference, put K = 2 in the above formula,
d = (4 - 1) * 0.469/2 = 0.704 m
Thus, the speakers produce the second interference at the distance of 0.704 m.
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What are the composition (materials used) of solar cells
Solar cells are typically made of silicon, although other materials such as cadmium telluride and copper indium gallium selenide may also be used. Silicon is used because it is an abundant, non-toxic element that can be easily purified and processed into thin, crystalline sheets. These sheets are then treated with various chemicals and processes to create the photovoltaic effect, which is the ability of a material to convert sunlight into electricity.
In addition to the primary material, solar cells also contain other materials such as conductive metals (such as silver or copper) and special dyes that help to absorb sunlight and improve the efficiency of the cell. They may also be coated with a protective layer of glass or plastic to help them withstand the elements and extend their lifespan.
Overall, the composition of solar cells varies depending on the specific type and design of the cell, but they typically consist of a semiconductor material (such as silicon) and various other materials that are used to improve their performance and durability.