The total kinetic energy of the system after the collision will be 4.5 ×10^2 Joules
Option (B) is the correct choice.
An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.
In elastic collisions, momentum and kinetic energy are both preserved.
Imagine two trolleys that resemble one another moving in the same direction at the same pace. They clash, maintaining their speed as they bounce off one another. The fact that no energy has been wasted makes this collision fully elastic.
Therefore, to calculate the kinetic energy of the system after the collision
We will use the formula 1/2 mv²
Mass = 25 kg
Velocity = 5.98 m/s
So, the value of KE = 1/2 × 25 × 5.98 ² = 447 Joules = 4.5 ×10^2 Joules (Approximately)
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a man seeking to set a world record wants to tow a 118,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. the mass of the man is 93 kg, and the coefficient of static friction between his shoes and the runway is 0.79. what is the greatest acceleration the man can give the airplane? assume that the airplane is on wheels that turn without any frictional resistance.
The greatest acceleration the man can give the airplane is 6.102*10^-3 m/s^2
What is a frictional force ?
The force produced when two surfaces slide past one another and make contact is known as frictional force. The surface texture of these forces and the amount of force pressing them together have the biggest impact.
Mass of the person
m1 = 93kg
Mass of the air plane
m2 = 118000 kg
Coefficient of static friction between the shoes of the person and floor
μs=0.79
Acceleration due to gravity
g=9.8m/s^2
The maximum force the person can apply on the floor is equal to his weight
F = w = m1∗g
= 93∗9.8=911.4 N
The maximum frictional force he can get from the floor is the product of coefficient of static friction and normal reaction
Ff = μs∗N
= μs∗W
= 0.79 ∗ 911.4 = 720 N
Let's assume that the individual is able to use or apply the entire frictional force in pushing the airplane.
Following that, the relationship can be used to determine the acceleration an air plane created.
Ff = m2 * a
a = Ff/m2
= 720/118000
= 6.102*10^-3 m/s^2
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What is the line segment formula?
Formula of
Line segment
is AB =
[tex]\sqrt{(x_{2} -x_{1} )^{2} } +\sqrt{(y_{2} -y_{1} )^{2} }[/tex]
Line segment
is a part of line with definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as
Line segment
.
A ______________________ B
(x₁,y₁) (x₂,y₂)
This line segment can be represented as [tex]\frac{}{AB} /\frac{}{BA}[/tex]. In other word we can say line segment is
subset
of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by
ruler
. A bar (-) is always on top of its notation {[tex]\frac{}{AB}[/tex]}.
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Formula of Line segment is AB = [tex]\sqrt{(x_{2}-x_{1})^{2} } +\sqrt{(y_{2}-y_{1})^{2} }[/tex]
Line segment
is a part of line with a definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as
Line segment
A ______________________ B
(x₁,y₁) (x₂,y₂)
This line segment can be represented as[tex]\overline{AB}/\overline{BA}[/tex] . In other word we can say line segment is subset of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by ruler A bar (-) is always on top of its notation {[tex]\overline{AB}/\overline{BA}[/tex]}.
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What does MgBr2 mean?
The chemical formula of Magnesium Bromine MgBr₂.
Magnesium bromide is a chemical compound which is formed by the combination of magnesium and bromine.
The chemical formula of Magnesium Bromine MgBr₂.
The colour of Magnesium Bromine is white and it is a very deliquescent crystalline type solid in nature.
It can be sometimes used as a mild sedative and also we can use is as an anticonvulsant which is commonly used in the treatment of nervous disorders.
It can be easily soluble in water and sometimes it can also be easily dissolved in alcohol.
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A ball of mass M is on a horizontal surface with negligible friction. One end of a string is attached to the ball so that it is spun in a horizontal circle of radius R at a tangential speed vo, as shown in Figure 1. A free-body diagram for the ball at an instant in time is shown in Figure 2. The magnitude of the tension force is also indicated in Figure 2. Which of the following equations represents the centripetal acceleration of the ball if its tangential speed is increased to 2vo ?
The centripetal acceleration of the ball if its tangential speed is increased to 2 v₀ is (4 M v₀²)/R.
The centripetal force equation that we are aware of is
F = (m* v²)/r ----(1)
where,
m is the of the ball
v is the velocity
r is the radius
We are aware that F = m* a ----(2)
Equating (1) and (2), we have,
m* a = (m* v²)/r
a = v²/r -----(3)
where, a is centripetal acceleration
In this problem, it is said that, the tangential speed is increased to 2 v₀, then the centripetal acceleration
So, v = 2 v₀, r = R
Substituting the values in (3), we have,
ac = (2 v₀)²/R = 4 v₀²/R
Thus, the required centripetal acceleration is 4 v₀²/R.
The question is incomplete. The complete question has the missing figures that are attached in the attachment below.
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two drivers make 100-km trips. Driver 1 complets the trip in 2 hours. Driver 2 takes 3 hours but stops for an hour halfway. which driver has a greater average speed? Explane
Answer:
Driver 1
Explanation:
In this scenario, driver 1 has a greater average speed than driver 2. To determine the average speed of a driver, we need to divide the distance traveled by the time it took to travel that distance. In the case of driver 1, who traveled 100 km in 2 hours, their average speed would be 100 km / 2 hours = 50 km/hour. For driver 2, who traveled 100 km in 3 hours but stopped for an hour halfway, their average speed would be 100 km / (3 hours - 1 hour) = 33.33 km/hour. Since 50 km/hour is greater than 33.33 km/hour, driver 1 has a greater average speed.
How does the induction motor works?
Answer:
It uses electromagnets to create a rotating magnetic field.
Explanation:
I remember learning this in AP Physic class. The interaction between the two fields causes the rotor to turn and it creates a magnetic field!
Answer:
It generates a rotating magnetic field using electromagnets.
Collaborative problem solving involves all of the following except a) a chorus where different individuals sing different notes of a song to create harmony. b) the jigsaw problem where different members of a group contribute to the solution Oc) a consensus-building task where different points of views must be considered d) negotiation tasks where the best possible solution depends upon consideration of different perspectives.
Yes, option a—a chorus where different people sing different notes of a song to generate harmony—is the right response.
The definition of the term "collaborate" according to Webster's Dictionary is "to work jointly or together, especially in an intellectual pursuit." Therefore, collaborative problem solving (CPS) is basically a cooperative effort to solve difficulties. There are four components to the Xandar task in the CPS task harmonization that PISA has made available. The components of the task require the respondent to work together to create a method for solving problems, put the method into practice, arrive at a solution, and assess the answer. For instance, if parents in a custody battle appear to back and forth on childcare arrangements, it may be a sign that one parent has concerns about
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How do you solve wavelength and frequency problems?
λ = v/f. Wavelength, velocity, and frequency are all given in units of meters, seconds, and hertz (Hz).
Which two equations represent wave speed?Wavelength and frequency are related to wave speed via the wave speed equation (Speed = Wavelength x Frequency). This equation can be used to determine wave speed when the wavelength and frequency are known.
Which two frequency formulas are there?The frequency formula in terms of time is provided as follows: f = 1/T, where T is the duration of one cycle in seconds and f is the frequency in hertz. The formula for calculating frequency in terms of wavelength and wave speed is given as f = /, where is the wave speed and is the wavelength of the wave.
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What is the i in the Ohm's law?
the equivalent capacitance is a. 9 μf b. 6 μf c. 3 μf d. 2 μf e. 1 μf
The equivalent capacitance is 21 μF.
In electrical engineering, equivalent capacitance often abbreviated as C eq—is a measurement of the total combined electric charge held in two or more capacitors connected in series or parallel. A capacitor is an electrical device that stores electrical energy into the electric field. Typically, a capacitor has two electrical leads that are separated by a dielectric or other insulating substance.
We are given that,
capacitance =c₁ =9 μF
capacitance = c₂ =6 μF
capacitance = c₃ = 3 μF
capacitance = c₄ =2 μF
capacitance = c₅ = 1 μF
Thus If the capacitor is connected in parallel the equivalent capacitance, cₐ can be calculated by the equation,
cₐ= c₁+c₂+c₃+c₄+c₅
cₐ = 9 +6 +3 +2+1 μF
cₐ = 21 μF
Therefore , The equivalent capacitance would be 21 μF.
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Rita is riding a 7.0 kilogram bike at a velocity of 15 meters/second. rita’s mass is 42 kilograms. what is her momentum?
a. 1.0 × 102 kilogram meters/second
b. 5.2 × 102 kilogram meters/second
c. 6.3 × 102 kilogram meters/second
d. 7.4 × 102 kilogram meters/second
e. 8.5 × 102 kilogram meters/second
Rita's momentum when riding a 7kg bike at a velocity of 15m/s where her mass is 42kg is 7.4 * 10² kilogram meters / second. Therefore, the answer is D.
How to calculate Rita's momentum?In Newtonian mechanics, momentum is the product of the mass and velocity of an object. It's a vector quantity, possessing a magnitude and a direction.
Based from the question, given :
mass of bike = 7kg
mass of Rita = 42kg
velocity = 15m/s
Momentum (P) = mass * velocity
= (mass of bike + mass of rita) * 15
= (7 + 42) * 15
= 49 * 15
= 7.4 * 10² kilogram meters / second
Therefore, the answer is D.
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suppose you have a microphone that is only sensitive to sounds between 400 and 1300 hz. you record the sound and look at the fft. there are large peaks at 600, 900, and 1200 hz. you know that the sound contains all (both even and odd) harmonics. what is the fundamental frequency of the sound?
the fundamental frequency is 300 Hz is the answer.
Constructive Frequency
Peak frequency differences are different by
= 1200 - 900 = 900 - 600 = 300 Hz
hence, the fundamental frequency is 300 Hz.
Since the frequency of constructive interference is an integer multiple of the fundamental frequency, the fundamental frequency can be calculated from the difference between two successive peak frequencies.
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Which force is greater static or sliding friction?
Sliding friction is significantly less than static friction for a pair of specified surfaces. because moving an object in motion is simpler than moving an object at rest.
Why do sliding and static friction differ?Contact points are not given enough time to fully interlock while sliding. thus, less friction. But because the surfaces interlock so effectively while the object at rest, friction increases. The difference between static and sliding friction is thus explained.
Why is static friction at its highest?Friction force has an identical amplitude in the reverse direction to any little force applied to an object. The greatest static friction force on an item is s times the usual force.
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What type of metamorphosis do hive beetles undergo?a. completeb. incompletec. mesocomplete
Insects can change gradually through progressive metamorphosis or completely through total metamorphosis.
Some insects, including beetles, ants, bees, wasps, butterflies, moths, and bees, develop through a special life cycle known as full metamorphosis. Egg, larva, pupa, and adult are the four separate phases of complete metamorphosis. One type of insect that undergoes complete metamorphosis is the beetle, which includes ladybugs. Butterflies and flies are two examples of common and recognised insects that undergo complete metamorphosis. Beetles, bees, wasps, ants, and fleas are among other insects that undergo complete metamorphosis. Termites, praying mantises, and cockroaches all go through partial metamorphosis. Ants, fleas, and wasps all go through a full metamorphosis. Complete metamorphosis is finally distinguished from other types of growth by the several stages that are produced with each
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How do I improve my scope 3 emissions?
To encourage action, establish clear expectations with your vendors and engage them strategically.Companies have to go beyond data collecting and establish clear expectations on suppliers about emissions reduction in order to significantly cut upstream Scope 3 emissions.
Why are the scope 3 challenging?The enormous number of partners inside the value chain is one factor contributing to the difficulty of accounting on Scope 3 emissions.For major companies, the number of upstream supply chain partners who contribute to Category 3 emissions can range from hundreds to tens of thousands, and they may be located all over the world.
How may Level 3 GHG emissions be reduced?Reducing the amount of goods purchased can take many different forms, including switching to incoming materials with such a lower CO2 content, reducing input quantity, using recycled materials as inputs, reducing production waste, favoring more sustainable suppliers, and working with important suppliers to reduce their own carbon footprints.
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which wavelength of the band on the helium emission line spectrum has the most energy? which has the lowest?
The light emitted by hydrogen atoms appears red because the most intense line in its spectrum, at 656 nm, is in the red section of the visible spectrum.
The principal quantum number(n) for the Lyman series is 1. As a result, the Lyman series has the highest energy in the hydrogen spectrum. This is due to the fact that helium has more electrons than hydrogen. Helium has two, while hydrogen has only one. More spectral lines will be noticed as more electrons are stimulated. Helium therefore has more spectral lines than hydrogen. Gamma rays are the most energetic, have the shortest wavelengths, and have the highest frequencies.
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given a uniform one meter long stick with a mass 0.100 kg a mass of 0.020 kg is placed 5.00 cm away from the end of the stick om the table g how far can the center of mass of the stick be moved to the right before the stick begins to rotate
The center of mass of the stick will be moved above 79.2 cm to the right before the stick begins to rotate.
What is the equilibrium position of the meter rule?
The equilibrium position of the meter rule is the point at which all the forces acting on the meter rule sums to zero.
The equilibrium position of the meter rule is determined by taking moment about the center mark or the end position.
-------5cm---------------------------------------------------------100cm
↓ x ↓
0.02 kg W
sum of anticlockwise moment = sum of clockwise moment
0.02 (x) = W (100 - (5 + x) )
0.02x = 0.1 ( 100 - ( 5 + x ) )
0.02x = 0.1 ( 100 - 5 - x )
0.02 x = 10 - 0.5 - 0.1x
0.12 x = 9.5
x = 9.5 / 0.012
x = 79.2 cm
Thus, when the center mass is moved any distance above 79.2 cm, the meter stick will begin to rotate.
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When a ball at a billiard table hits another ball it is an example of elastic collision?
The collision of two billiard balls is an example of elastic collision.
An elastic collision is a collision where Kinetic energy is preserved. In this type of collision, there will be no change in overall kinetic energy and momentum.
An inelastic collision is where the Kinetic energy is not preserved. Here some of the kinetic energy is transferred to some other form of energy like thermal energy or sound energy.
In both type of collisions, momentum is preserved. There are fewer examples of perfectly elastic collision in real life. Collisions in atomic levels are examples of perfectly elastic collisions. But some collisions where the energy loss is negligible are considered elastic collisions. One such example is the collision of the billiard balls.
So when a billiard ball hits another it is an elastic collision.
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Classify the measurements as having English units or metric units. English units Metric units Answer Bank 2.50 lb 2. 20 kg 335 ml. 33.21 oz 12.2 26.9 mm Now, classify the units of the measurements as units of length, mass or volume.
A decimal system of measurement, the metric system was developed in France in 1799 and has since been widely used around the world.
The metric system serves as the foundation for the International System of Units, the universally accepted system of measurement. Although the United States legal framework was modified in 1866 to permit the use of the metric system, the country has not yet adopted it as its "official" system of measuring. Body-based measuring was the foundation on which the United States English System of measurement was built. Traditionally, the foot, the inch, and the pound have served as the foundational units of measurement in the English system. Metric prefixes like kilo, Millis, and centi are used to denote multiples of a base unit, such as the meter or the gram. When it comes to measuring length, the English system has a bad reputation.
The complete answer is attached as an image.
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What is the power rating of an engine capable of lifting a 100 kg object 5 m vertically in 4 seconds? do not include units in your answer.
The power rating of an engine who can lift a 100kg object 5m vertically in 4 seconds is 125watt.
In electrical engineering and mechanical engineering, the power rating of equipment is the highest power input allowed to flow through particular equipment. According to the particular discipline, the term power may refer to electrical or mechanical power.
From the question given :
Force (f) = 100
Time (t) = 4 seconds
Distance (d) = 5m
Work done = f * d
= 100 * 5
= 500
So, The power will be
= Work / time
= 500 / 4
= 125watt
Therefore, the power rating of the engine is 125watt.
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Identify the part of the neuromuscular junction at B: B A Axon Terminal O Dendrites Axon branches O Muscle fiber Identify the structure at A: В. A O muscle fiber dendrites O axon terminals O axon branches
B. the building at A O muscle fibre dendrites O branches and axon terminals. The 'B' structure consists of axon branches and Axon terminals are the structure designated "A."
1). The structure labeled "B" is: Axon branches
-Because a motor neuron's axon has multiple branches that come together to form a neuromuscular junction, one of its axons can innervate numerous muscle fibers.
- These branches carry potential action in the direction of certain synaptic knobs.
2). The structure labeled "A" is: Axon terminals
-It creates a neuromuscular connection with the motor end plate of the sarcolemma and features a bulged structure at its most terminal end.
- Neurotransmitter is exocytosed from the axon terminal.
- Synaptic cleft is the area between the sarcolemma and the synaptic knob at the axon terminal.
Any of the button-like ends of axons through which axons create synaptic connections with other nerve cells or with effector cells is known as an axon terminal. Neurotransmitter-containing synaptic vesicles bind at the axon terminal. The cell opens up to calcium ions upon activation by a graded potential or by an action potential of the presynaptic neuron. This starts a chain reaction that leads to the synaptic vesicles fusing into the axon terminal membrane. The synaptic vesicle proteins that the calcium ions activate create fusion holes that allow the neurotransmitters to leave. The effects of the neurotransmitters on the target cell only last for a brief period of time.
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a 3 * 10 to the power -3 kg copper penny drops a distance of 50 m to the ground. if 65 percent of the initial potentia energy goes into increasing the internal energy of the penny, determine the megnitude of that increase.
can some genius explain this to me please?
Explanation:
The magnitude of the increase is 0.9555J
Explanation
Potential Energy (PE) = mgh mass(m) = 3 * 10 ^ - 3 * kg
, acceleration due to gravity (g) = 9.8m / (s ^ 2) distance(h) = 50m PE = 3 * 10 ^ - 3 * 9.8 * 50 = 1.47J Increase in internal energy = 65% of 1.47J = 0.65 × 1.47J
= 0.9555J
in a closed system, an object with a mass of 10 kg moves at a velocity of 5.4 m/s. it collides with a second object that has a mass of 12 kg and that is moving in the opposite direction with a velocity of 3.5 m/s. what is the total momentum of the system after the collision?(1 point) responses 42 kg-m/s
The total momentum of the system after collision is 12 kg-m/s.
What is collision?Two items collide when they come into brief physical touch with one another. Or to put it another way, a collision is a reciprocative engagement between two masses that lasts for a relatively brief time and results in a change in momentum and energy.There are, however, three distinct types of collisions: elastic, inelastic, and absolutely inelastic. I'll say it again: in all three categories of collisions, momentum is preserved. The transformation of kinetic energy characterizes collisions.A collision is an instantaneous interaction between two or more bodies, occurring at the same time, that modifies the motion of the bodies involved as a result of the internal forces acting on them. Conflicts involve troops (there is a change in velocity). Before impact, there is a significant differential in velocity that is this size.To learn more about collision refer to:
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Coach Carver has created a new team game for his students to play. It involves sprinting, tagging, and throwing a ball. Each team consists of 30 to 40 students. Which place is the safest to play the game?
a. an outdoor basketball court
b. a gymnasium
c. an empty classroom
d. a football field
The safest plays to play sprinting, tagging, and throwing the ball is d) a football field
A football/soccer field is a rectangular field surrounded by lines called perimeters. The two long lines are the touch lines and the two short lines are the goal lines. It is divided in half by the midline connecting the midpoints of the two contact lines. The field is 100 yards long, with 10-yard end zones for each team. The field has stripes across the width of the field at 5-yard intervals. The soccer field is 160 feet wide. The games that can be played on the football field are sprinting, throwing the ball, tagging, etc.
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What are the 10 common genetic disorders?
The 10 most prevalent genetic disorders include albinism, Angelman syndrome, Ankylosing spondylitis, Apert syndrome, Charcot-Marie-Tooth disease, Congenital adrenal hyperplasia, Cystic fibrosis, and Down syndrome.
What genetic ailment is the most prevalent?The most prevalent, deadly hereditary disease in the US is cystic fibrosis (CF). The condition affects about 30,000 persons in the US.
What exactly do you mean by genetics?How traits and genes are passed down from one generation to the next is the main topic of genetics research. Our DNA contains information that affects our personalities, looks, and even health! Everything starts with genetics. One child has blonde hair like their mother, and their sibling has brown hair like their father; this is due to genetics.
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the plate area of a parallel-plate capacitor of capacitance c is doubled and the distance between the plates is halved, so that the volume of the dielectric remains the same. the new capacitance of the capacitor is
The new capacitance of the capacitor is Cf = 4Ci is the correct answer.
What is capacitance?Capacitance is an electrical property of a material or system that is related to the amount of charge it can store in an electric field. It is measured in Farads (F), which is the ratio of the electric charge stored on a capacitor to the applied voltage. In other words, it is an expression of the ability of an electrical system or component to store energy in the form of an electric field. It is an important factor in the design of electrical systems, and can be used to control the flow of electric current in circuits. It is also used to measure the amount of voltage that a capacitor can sustain before its capacitance decreases.
Using the Capacitance theorem
Given:
Capacitance of Parallel Plate Capacitor = C
Area = 2A
Distance = 1/2d
Volume of the dielectric remains the same.
New Capacitance =?
1. Initial Capacitance can be written as:
Ci = A ∈0 / d
2. After putting the desired values of area and distance.
Cf = 2A ∈0 / (d/2)
Cf = 4A ∈0 / d
Cf = 4Ci
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A ball of putty is dropped from a height of 2 m onto a hard floor, where it sticks. Think what object or objects need to be included within the system if the system is to be isolated during this process? and check the object that no apply.
The floor and the ball must both be included for the released ball to be in an isolated system.
What does the conservation of linear momentum entail?
According to the conservation of linear momentum concept, a system's overall momentum is conserved in an isolated setting.
A system that is isolated is one that is unaffected by outside forces.
The items required to be included for the released ball to be in an isolated system are the floor and the ball.
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What is the velocity of a wave that has a wavelength of 3.0 m and a frequency of 12 Hz?
It travels at a speed of 36 meters per second
The velocity of a wave is a measure of how fast the wave travels through a medium. It is given by the equation v = λf, where v is the velocity, λ is the wavelength, and f is the frequency. In this case, the given wavelength is 3.0 meters and the given frequency is 12 Hertz.
Plugging these values into the equation, we can calculate the velocity of the wave:
v = (3.0 m) * (12 Hz) = 36 m/s.
This means that the wave travels at a speed of 36 meters per second.
It is important to note that the velocity of a wave depends on the properties of the medium through which it is traveling, as well as the wavelength and frequency of the wave itself.
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What is a 3 wavelength lamp?
A 3 wavelength lamp is a type of light therapy device used to improve skin health and appearance.
What is wavelentgh?Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.
It emits both visible and invisible light in three different wavelengths, namely red, blue and near-infrared. The red wavelength helps to reduce inflammation and improve circulation, while the blue wavelength helps to kill acne-causing bacteria. The near-infrared wavelength helps to boost collagen and elastin production, which can help to improve skin texture and firmness. This type of light therapy is effective in treating a number of skin conditions and has been used in clinics and spas for many years.
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A 2 kg stone moves with a speed of 1 m/s. A second 2 kg stone is moving twice as fast. Compare their kinetic energies.
The second 2 kg stone has four times the kinetic energy of the first 2 kg stone.
The kinetic energy of an object is equal to (1/2) * m * v^2, where m is the mass of the object and v is the velocity of the object.
For the first 2 kg stone, the kinetic energy is
(1/2) * 2 kg * 1 m/s^2 = 1 kg m^2/s^2.
For the second 2 kg stone, the velocity is twice as fast, so the kinetic energy is
(1/2) * 2 kg * (2 m/s)^2 = 8 kg m^2/s^2.
The second 2 kg stone has 8 kg m^2/s^2 of kinetic energy, which is four times the kinetic energy of the first 2 kg stone, which has 1 kg m^2/s^2 of kinetic energy.
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