Answer:
Q1) C, D
Q2) A
Q3) E
Q4) C
Q5) B
Q6) C
Explanation:
I think these are correct, hopefully it helps!
If m=2000 p=2. 25 and y=6000 what is velocity
The velocity of the money at the given price, and amount of money in the time frame is 6.75.
What is Velocity of money?The velocity of money is a measurement of the rate at which money is exchanged in an economy.
It is the number of times that money moves from one entity to another.
It also refers to how much a unit of currency is used in a given period of time.
MV = PY
V = PY/M
where;
P is priceY is transaction in time frameM is amount of moneySubstitute the given parameters and solve for velocity;
V = (2.25 x 6000) / 2000
V = 6.75
Thus, the velocity of the money at the given price, and amount of money in the time frame is 6.75.
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Can someone help with this
The magnitude of electric field is |E| = (k Q / (2L²)) (L / a²)
The direction of the electric field at point P is towards the negative x direction (i.e., towards the left in the figure above), since the electric field due to each small element is directed towards point P and the electric field due to the entire rod is the sum of the electric fields due to all the small elements, which are all directed towards the negative x direction.
What is electric field?Electric field is a physical field that surrounds electrically charged particles or objects. It is a vector field that describes the force experienced by a test charge placed at any point in the field. The electric field at a point is defined as the force per unit charge that would be experienced by a positive test charge placed at that point. Mathematically, the electric field at a point P due to a charged particle or object is given by:
E = F / q
We can use the principle of superposition to find the electric field at point P due to the charged rod. We can divide the rod into small elements of length dl and consider the electric field due to each element. The electric field due to each small element will be directed towards point P, and the direction of the total electric field at point P will be the sum of the electric fields due to all the small elements.
The electric field due to this small element at point P is given by Coulomb's law:
dE = k dq / r²
where k is the Coulomb constant, dq is the charge on the small element, and r is the distance between the small element and point P. We can express r in terms of x, a, and L using the Pythagorean theorem:
r² = (x-a)² + L²
The charge on the small element can be expressed in terms of the total charge Q on the rod and the length of the small element dl:
dq = Q dl / (2L)
where 2L is the total length of the rod.
Substituting these expressions into Coulomb's law and integrating over the entire length of the rod, we get:
E = ∫dE = ∫(k Q / (2L)) (dx / ((x-a)² + L²)^3/2) = (k Q / (2L)) ∫(dx / ((x-a)² + L²)^(3/2)))
To evaluate this integral, we can make the substitution u = x-a, which gives:
E = (k Q / (2L)) ∫(du / (u² + L²)^(3/2)))
This integral can be evaluated using the substitution v = u / L, which gives:
E = (k Q / (2L²)) ∫(dv / (v² + 1)^(3/2)))
This integral can be evaluated using the substitution w = arc sin(v), which gives:
E = (k Q / (2L²)) (-cos(w)) = (k Q / (2L²)) (-cos(arc sin((x-a)/L)))
Substituting back for w and simplifying, we get:
E = - (k Q / (2L²)) ((L² - (x-a)²) / (L² + (x-a)²)^(3/2)
The magnitude of the electric field at point P is therefore:
|E| = (k Q / (2L²)) ((L² - (x-a)²) / (L² + (x-a)²)^(3/2)
Substituting x = 0 (since point P is located at the bisector line), we get:
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Calculate the total displacement of a mouse walking along a ruler, if it begins at the location x = 5 m, and then does the following:
- It walks to x = 12 m
- It then walks a displacement of -8 m (NOT the same as x = -8 m)
- Lastly, it walks to the location x = 7 m
Answer:
18
Explanation:
12 - 5 + 8 = 15
12 - 8 = 4
7 - 4 = 3
15 + 3 = 18
A student starts at the origin and walks 6 meters away taking a time of 3 seconds to do so. The student then stands still for 2 seconds and walks back towards the origin a distance of 3 meters in the next 5 in seconds.
The student stops for a 1-second break and then walks 7 meters back towards the origin and ends up passing the start point. What distance did this student travel? What was their displacement?
The student traveled a total of 16 meters. The displacement of the student is 4 meters in the direction of the origin.
To calculate the distance traveled by the student, we need to add up the distances covered in each of the three legs of their journey. In the first leg, the student walks 6 meters away from the origin, so their distance traveled is 6 meters.
In the second leg, the student stands still for 2 seconds and doesn't travel any distance. In the third leg, the student walks back towards the origin a distance of 3 meters and then continues walking another 7 meters, for a total of 10 meters.
Adding up these distances, we get:
6 + 0 + 10 = 16 meters
So the student traveled a total of 16 meters.
To calculate the displacement, we need to look at the final position of the student relative to their starting position. The student starts at the origin, walks 6 meters away from it, then walks back 3 meters towards it, and finally walks another 7 meters back towards it.
So the final position of the student is 4 meters away from the origin in the direction of their last movement (towards the origin).
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Find B when θ=35, E=10V, t=5, N=250, A=1.20m^2
a. -0.321 T
b. -0.653 T
c. -0.231 T
d. -0.293 T
Answer:
its most definitely c. trust me
Explanation:
6. Dentists use a soft, clay-like material to make a filling for a cavity. The filling stays soft under the
light of the dentist's lamp, but it hardens when the dentist shines an ultraviolet flashlight on it. Why
does light from the ultraviolet flashlight harden the filling when light from the lamp does not?
Because ultraviolet light may be absorbed by the filler substance, but not by the lamp's light. Because UV light extracts energy from the filler substance while lamp light does not.
What is ultravoilet ray?Ultraviolet Rays in the electromagnetic Spectrum Ultraviolet rays are a kind of electromagnetic radiation that extends from the visible light spectrum to the X-ray area.
Harmful rays have a long-term effect on humans, causing skin and eye problems. It is also a source of Vitamin C.
Because ultraviolet light may be absorbed by the filler substance, but not by the lamp's light. Because UV light extracts energy from the filler substance while lamp light does not,
Hence light from the ultraviolet flashlight harden the filling when light from the lamp does not.
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I need help thank you
write down a question about human behavior that is interesting to you
and why are you interested in this question
now think about psychology how is your question related to this definition that is what is it about your question that makes it own psychology can address
An interesting question about human behavior that is of interest to me would be: "What factors contribute to the development of a sense of self-esteem in children?"
I am interested in this question because self-esteem is an important psychological construct that is thought to play a key role in mental health and well-being. Low self-esteem can be linked with a number of negative outcomes, such as depression, anxiety, and poor academic performance, while high self-esteem has been linked with positive outcomes, such as happiness and resilience. Understanding the factors that contribute to the development of self-esteem in children can help parents, educators and health professionals to create effective interventions that can help children to develop a strong sense of self-worth.
This question relates to psychology because it deals with the psychological construct of self-esteem, which is central to the field of psychology. It is a question that can be studied and explained through the research of cognitive, social and developmental psychology.
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2.5 x 103 kilogram truck with rubber tires moves through a 120 meter radius turn on a dry asphalt surface.
a. Determine the force of friction acting on the truck's tires during the turn.
b. Calculate the maximum speed with which the truck could have made this turn.
Answer:
a. The friction force acting on the truck's tires during the turn, is approximately 20,875 N
b. The maximum velocity with which the truck could make the bend is approximately 31.654 m/s
Explanation:
The given parameters of the truck are;
The mass of the truck, m = 2.5 × 10³ kg
The tire material = Rubber
The radius of the turn the through which the truck moves = 120 meters
The material and condition of the surface = Dry asphalt
a. The coefficient of friction of rubber tires on dry asphalt, μ ≈ 0.85 (researchgate (internet source))
The weight of the truck, W = m × g
Where;
m = The mass of the truck = 2.5 × 10³ kg
g = The acceleration due to gravity = 9.8 m/s²
∴ W = 2.5 × 10³ kg × 9.8 m/s² = 24,500 N
The force of friction acting on the tires, \(F_f\) = W × μ
∴ \(F_f\) = 24,500 N × 0.85 ≈ 20,875 N
The friction force acting on the truck's tires during the turn, \(F_f\) ≈ 20,875 N
b. The centrifugal force the truck observes while turning through the bend, 'F', is given as follows;
F = m·v²/r
Therefore, the maximum velocity with which the truck could make the bend, 'v', is given when fiction force, '\(F_f\)', is equal to the centripetal force, F
When \(F_f\) = F, we have;
W × μ = m·v²/r
∴ 20,875 N = 2.5 × 10³ kg × v²/(120 m)
∴ v² = 20,875 N × (120 m)/(2.5 × 10^3 kg) = 1002 m²/s²
v = √(1002 m²/s²) ≈ 31.654 m/s
The maximum velocity with which the truck could make the bend, v ≈ 31.654 m/s
According to this question;
The mass of the truck (m) = 2.5 × 10³ kgThe radius of the turn = 120mThe coefficient of friction of rubber tires on dry asphalt, μ ≈ 0.85QUESTION 1:
Weight of the truck (W) = m × gWhere;
m = mass of the truck = 2.5 × 10³ kgg = acceleration due to gravity = 9.8 m/s²W = 2.5 × 10³ kg × 9.8 m/s² = 24,500 NThe force of friction acting on the tires, = W × μ= 24,500 N × 0.85 ≈ 20,875 NThe force of friction acting on the truck's tires during the turn = 20,875 NQUESTION 2:
Centrifugal force of the truck can be calculated as follows: F = mv²/rHowever, force of friction (Ff) is equal to centripetal force (F). That is;W × μ = m·v²/r20,875N = 2.5 × 10³ kg × v²/(120 m)v² = 20,875 × 120/2.5 × 10³ = 1002 m²/s²v = √1002 = 31.654m/sThe maximum velocity with which the truck could make the turn = 31.654 m/s.Learn more about force of friction at: https://brainly.com/question/4230804?referrer=searchResults
9 Two wells are located at points A and B respectively. Point C is the middle point between A and B. When water is pumped out from Well A only, the drawdown at C is 7 in. if water is pumped out from well A whle water is poured in from well B at the same rate, what is the drawdown(ft) at point C?
Answer:
0
Explanation:
When water is pumped out of well A, it causes a drop of 7 inches at point C; if water is pumped from well B into well A (at the same rate the water is pumped out of well A), then it will give a rise of 7 inches at well C. Therefore the net drawdown at well C is:
S = 7-7 = 0
Calculate the force that is needed to propel a rocket into space if the rocket weighs 10,000 kg and the escape velocity for Earth's gravity is 11 km/s. (Hint: use the formula F = ma).
Mass:
Initial velocity:
Final velocity:
Time: 10 minutes
Force:
The correct answer is 183300 Newton amount of force is needed to propel a rocket.
What connection exists between force and mass of acceleration?
Mass times acceleration, or F=m x a, equals force. This means that in order to move an object at the same speed as an object with smaller mass, a stronger force is required. Newton's Second Law of Motion is this.
Force = Mass x acceleration
Initial velocity = 11 Km/s
Acceleration = Velocity / time = 11000 / 600 = 110/ 6 = 18.33 m/s^2
Force = 10000 x 18.33 = 183300 N
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Which type of glass is most often used in and around exterior doors where pedestrian traffic is heavy?
a.) fritted b.) fire rated c.) spandrel d.) tempered e.) annealed
The type of glass that is most often used in and around exterior doors where pedestrian traffic is heavy is
d.) Tempered glass
Tempered glass is a type of safety glass that is stronger and more durable than annealed glass. It is made by heating the glass to a high temperature and then rapidly cooling it, which creates a state of compressive stress on the surface of the glass. This makes tempered glass more resistant to impacts and thermal stress than annealed glass.
In areas with heavy pedestrian traffic, such as around exterior doors, tempered glass is often used to reduce the risk of injury in the event of accidental breakage. If tempered glass does break, it shatters into small, blunt pieces rather than sharp shards, which can reduce the risk of injury.
Therefore, the correct answer is option D.
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If Charge A is positive, then Charge B must be:
A. not enough info
B. Negative
C. Positive
D. Neutral
Answer:
b
Explanation:
negativity sure ans bro
hey what is magnetic field
Answer:
a region around a magnetic material or a moving electric charge within which the force of magnetism acts.
Explanation:
The definition of a magnetic field is a place in space near a magnet or an electric current where a physical field is created from a moving electric charge that creates a force on another moving electric charge. An example of a magnetic field is the Earth's magnetic field.
It takes Josh 8 seconds to slow down from 39 m/s to 21 m/s. Calculate his acceleration
a: acceleration
Δv: change in velocity
t: time
a = Δv/t = (21-39)/8 = -18/8 m/s^2 = -2.25 m/s^2
extranaughtee kitties, inc., sells obscene materials. this is:________
Extra Naughtee Kitties, Inc. sells products that are crime. This is prohibited by numerous state and federal laws. Obscenity is defined as any content that passes the Miller test.
For example, this could be communicated by spoken language, written material, or visuals. According to federal law, it is illegal to distribute, transport, sell, ship, mail, produce with the aim to distribute or sell, or engage in the business of selling or transferring obscene content. The criminal code of each applicable governmental entity. While many common law nations have a list of crimes known as the criminal code, some do not have such a comprehensive statute. If one commits a crime, their freedom may be severely limited by the state (government).
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I would assume its A. or B.
Answer:
B
Explanation:
remember that you are looking for the value of the graph
to take into account or value a lot: prize, estimate to value your opinion. 2nd: estimate or assign the monetary value of: appraise a necklace. b: qualify or scale in utility, importance or general value: evaluate. value.
what is meant by intensity of sound 6.81 times as great as the intenstiy of another sound. relative the the quieter sound, what is the intensity level
The energy of the first sound is 6.81 times bigger than the energy of the second sound, or 6.81 times stronger than the intensity of another sound.
Its intensity is the term used to describe how loud a sound is to an individual. Loudness cannot be quantified objectively since everyone perceives loudness differently. Following is a description of the relative characteristics of the acoustic signal, audio intensity, and sound intensity. The kinetic energy of the mass of air is created by the combination of the source's increasing amplitude and the vibrating surface.
The formula for sound intensity is acoustic power divided by the normal area to the propagation direction.
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Suppose you had an electrical circuit and decided to change it into a new circuit. does the equivalent resistance of the new circuit compare to the old one ? If you were to insert additional resistors in series, how 。
a. No effect on the equivalent resistance
b. The equivalent resistance decreases
c. The equivalent resistance increases
Answer:
Yes becuase the circuit is fryed like sum french fries so yes yes is the yes option yes okay, yes but no
Explanation:
If you were to insert additional resistors in series, the equivalent resistance increases. The correct option is c.
What is equivalent resistance?The resistances when connected in series has the equivalent resistance equal to the sum of all the individual resistances.
In the series circuit, the equivalent resistance is
Req= R₁ + R₂ + R₃
Suppose you had an electrical circuit and decided to change it into a new circuit.
The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance.
Yes, the equivalent resistance of the new circuit compare to the old one.
If you were to insert additional resistors in series, the equivalent resistance increases.
Thus, the correct option is c.
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A bullet fired from a gun experiences a peak force of 2,000 Newtons. Its peak acceleration is 50,000 meters per second squared. What is the bullet's mass
The mass of the bullet is calculated to be 0.04 kilograms.
This can be calculated using the following formula:
mass = force / acceleration
In this case, the force is 2,000 Newtons and the acceleration is 50,000 meters per second squared.
So, the mass of the bullet is:
mass =\(2,000 N / 50,000 m/s^2\)
\(= 0.04 kg\)
The mass of the bullet is very small because it is traveling at a very high speed.
The force of the bullet is what propels it forward, and the acceleration is how quickly the bullet is gaining speed.
The smaller the mass of the bullet, the more force is required to accelerate it to a given speed.
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How did the magma get from the volcanic center to the locations where the laccoliths formed?
Laccolith magma (molten rock) rising through the Earth's crust begins to spread out horizontally, prying aside the host rock strata.
Laccoliths are not unusual in the Pine Valley Mountain desert location close to St. George, Utah. The stress of the magma is high enough that the overlying strata are compelled upward, giving the laccolith its dome-like form.
A laccolith is a frame of intrusive rock with a dome-shaped top surface and a degree base, fed through a conduit from under. A laccolith bureaucracy when magma (molten rock) rising thru the Earth's crust starts to unfold out horizontally, prying aside the host rock strata. The stress of the magma is excessive enough that the overlying strata are pressured upward, giving the laccolith its dome-like form.
A laccolith is a type of igneous intrusion, shaped when magma forces its manner upwards via the Earth's crust however cools and solidifies before attaining the surface. Laccoliths are outstanding from other igneous intrusions by way of their dome-shaped upper floor and level base.
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Try to solve this question:
Explanation:
w = mg
on earth
w = mg
w = 60 × 9.8 = 588 N
on moon
w = mg
w = 60 × 1.6 = 96 N
on Mars
w = mg
w = 60 × 3.7 = 222 N
In this question,we solve it using the formulae below:
W=mg.
So to find the weight of the object in 1.Earth.Enter the given data on formula:
W=mg
W=60×9.8
W= 588N.2.Weight on the moon.
W=mg
W=60×1.6
W=96N3.Weight on Mars.
W=mg
W=60×3.7
W=222N.a student claimed that the experiment should be conducted using a wavelength of 750 nm since that is the highest energy wavelength that still has a measurable absorbance. is the student correct or incorrect? justify your answer.
Therefore, the student's claim that the experiment should be conducted using a wavelength of 750 nm because it is the highest energy wavelength that still has a measurable absorbance is incorrect.
The energy of a photon of electromagnetic radiation is inversely proportional to its wavelength. This means that longer wavelengths have lower energy, while shorter wavelengths have higher energy. Therefore, the highest energy wavelength that still has a measurable absorbance would actually be the shortest wavelength with a measurable absorbance.
In most cases, this would be the ultraviolet (UV) region of the electromagnetic spectrum, which ranges from approximately 100 nm to 400 nm. However, some molecules may have specific absorbance peaks in the visible or even infrared regions, depending on their chemical structure.
In the visible region, the highest energy wavelength with a measurable absorbance would be the blue/violet end of the spectrum, which has a wavelength of approximately 400-500 nm. In the near-infrared region, the highest energy wavelength with a measurable absorbance would be around 700-800 nm.
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For 0 ≤ t ≤ 8 , a particle moving in the xy-plane has position vector 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 , where x(t) and y(t) are measured in meters and t is measured in seconds. At time t = 8 seconds, the particle begins moving in a straight line. For t ≥ 8 , the particle travels with the same velocity vector that it had at time t = 8 seconds. Find the position of the particle at time t = 10 seconds
The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters after all velocity and acceleration calculations.
There is a particle moving in the xy-plane, whose position can be represented as 〈x(t),y(t)〉=〈sin(2t),t^2−t〉 for 0 ≤ t ≤ 8 seconds. We can find its velocity and acceleration vectors using this position vector.
At t = 8 seconds, the particle starts moving in a straight line with the same velocity vector as it had at that time. Therefore, for t ≥ 8 seconds, we can find the position vector of the particle.
To find the position of the particle at t = 10 seconds, we need to substitute t = 10 in the equation of position vector for t ≥ 8 seconds. The position of the particle at t = 10 seconds is approximately 〈1.491, 30〉 meters.
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why is it necessary that a force probe be calibrated?
Without calibration, the data would no longer be accurate since it would deviate from real values. Therefore, calibration is occasionally required.
A force probe measures weight in what ways?It converts an applied mechanical force—such as load, weight, tension, compression, or pressure—into another physical variable—in this case, an electrical output signal—that can be measured, converted, and standardized. The electrical signal changes in direct proportion to the force acting on the sensor.
What function does a force sensor serve?A load cell or weight sensor is often referred to as a force sensor. They are employed to gauge load, strain, and compression. A lot of them contain internal strain gauges that are attached to the metal structure and respond even to the smallest compression changing the resistance and reporting on the outcomes.
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What is the speed of an electron when its kinetic energy is equal to 8 times its rest energy?
The speed of an electron when its kinetic energy is 8 times its rest energy is approximately 0.93c, or 93% of the speed of light.
The kinetic energy of an object is given by 1/2mv^2, where m is the mass of the object and v is its velocity. The rest energy of an electron is approximately 0.511 MeV/c^2. Thus, when the kinetic energy of the electron is 8 times its rest energy, we have:
1/2mv^2 = 8(0.511 MeV/c^2)
Solving for v, we get:
v = sqrt[(2*8*0.511 MeV/c^2)/m]
The mass of an electron is approximately 9.11 x 10^-31 kg. Plugging in the values, we get:
v = sqrt[(8.176 MeV)/9.11 x 10^-31 kg]
v ≈ 2.79 x 10^8 m/s = 0.93c
Therefore, the speed of the electron is approximately 93% of the speed of light, or 0.93c.
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Georgie was pulling her brother (of mass 29 kg) in a 10.9 kg sled with a constant force of 33 N for one block (104 m). How much work did Georgie do
Georgie was pulling her brother (of mass 29 kg) in a 10.9 kg sled with a constant force of 33 N for one block (104 m). Then Georgie would have done 3432 joules of work.
Given parameters:
Mass of the brother, m = 29 kg
Mass of the sled, m1 = 10.9 kg
Constant force applied by Georgie,
F = 33 N
Distance pulled by Georgie, d = 104 m
The work done by Georgie is defined as the product of the force and displacement of the sled and brother together.The force and displacement are vectors, but since the force is applied in the same direction as the displacement, the work done by Georgie can be calculated as follows:
W = F × dW = 33 N × 104 mW = 3432 J
Thus, Georgie does 3432 joules of work.
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After interest rate and yield curve changes, a bank's market value of assets increased $4 million and the book value of its liabilities increased $6 million. The market value of equity _____________ and the book value of equity ____________. Multiple Choice increased $2 million; was unchanged fell $2 million; was unchanged was unchanged; fell $2 million was unchanged; fell $10 million was unchanged; increased $10 million
After interest rate and yield curve changes, a bank's market value of assets increased $4 million and the market value of its liabilities fell $6 million. The book value of equity was unchanged and the market value of equity increased $10 million. Therefore, the correct option is E.
The book value of equity remains unchanged because it is based on historical cost, and the changes in interest rates and yield curve do not affect it. However, the market value of equity increases by $10 million ($4 million increase in market value of assets - $6 million decrease in market value of liabilities) due to the bank's improved financial position. The bank's assets are now worth more, and its liabilities are now worth less, which means that the bank has more value to its shareholders. Therefore, the market value of equity increases by $10 million.
Hence, the correct answer is option E.
Note: The question is incomplete. The complete question probably is: After interest rate and yield curve changes, a bank's market value of assets increased $4 million and the market value of its liabilities fell $6 million. The book value of equity _____________ and the market value of equity ____________. A. increased $2 million; was unchanged. B. fell $2 million; was unchanged. C. was unchanged; fell $2 million. D. was unchanged; fell $10 million. E. was unchanged; increased $10 million.
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A golf ball is hit horizontally off the edge of a 20 m high cliff and lands a distance of 18 m from the edge of the cliff. What was the initial vertical velocity of the ball?
0 m/s
16 m/s
-16 m/s
40 m/s
Answer:
None of the options are correct.
Explanation:
Let \(V_x\) be the initial horizontal velocity of the golf ball t be the time of flight.
The time of flight, t, is the time taken by the ball to touch the ground. The ball falls towards earth due to gravitational force which acts vertically downward, so, the horizontal velocity of the ball remains unchanged.
As the horizontal distance covered by the ball is 18 m,
As distance = speed x time, so
\(V_x t = 18\cdots(i)\)
Now, by using the equation of motion in the gravitational field,
\(s=ut+\frac 12 g t ^2\)
Here, u is the initial velocity in the vertical direction, s is the displacement traveled in time t, g=9.81 is the acceleration due to gravity.
Here, we have u=0, s=20 m (height of the cliff), \(g=9.81 m/s^2\).
\(\Rightarrow 20=0\times t +\frac 12 (9.81)t^2\)
\(\Rightarrow t^2= \frac {20\times 2}{9.81}\)
\(\Rightarrow t= \sqrt{\frac {40}{9.81}}\)
\(\Rightarrow t=2\) seconds (approx)
From equation (i), e have
\(V_x\times 2=18\)
\(\Rightarrow V_x=18/2=9\) m/s.
So, the initial velocity of the ball is 9m/s in the hprizontal diection.
Hence, none of the options are correct.
if you throw a 0.4 KG ball at a speed of 20 m/s what is the kinetic energy between the balls motion
A moving item possesses kinetic energy. If we want to accelerate an object, we must exert a force. Applying force requires effort on our part. Once the process is complete and energy has been transferred to the item, it will begin to move at a new constant speed.
Kinetic energy is the energy that an object has as a result of motion. It is defined as the work required to accelerate a mass-determined body from rest to the indicated velocity. Unless its speed changes, the body retains the kinetic energy it gained during acceleration.
Using the formula - K.E. = 1/2 × m × v²
K.E. = 1/2 × 0.4 × 20²
K.E. = 80 kg m/s²
The energy of motion is called kinetic energy, and it can be observed in the movement of an object, particle, or group of particles. Any moving object, such as a person walking, a baseball being thrown, food falling off a table, or a charged particle in an electric field, utilizes kinetic energy.
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Waves propagate along a stretched string at a speed of 8.0 m/s. The end of the string vibrates up and down once every 1.5 s. What is the wavelength of the waves traveling along the string?
Answer:
So we have waves F= 1/t So F= 1/1.5= 0.66V= wavelength × F 8.0m/s= x × 0.66x=12.2The wavelength of the waves traveling along the string is 12 meters.
What is a Wavelength?
The distance between adjacent successive crests or troughs of a wave is termed as its wavelength. Wavelength is calculated in the wave's direction.Given:
Waves propagate along the stretched string at speed = 8.0 m/s
The end of the string vibrates up and down once every 1.5 s.
∴ Time = 1.5 s
We have to find the wavelength of the waves.
We know,
⇒ Time = 1/frequency
⇒ 1/frequency = 1.5
Now
⇒ speed = frequency × wavelength
⇒ wavelength = speed / frequency
⇒ wavelength = 8 × 1.5
⇒ wavelength = 12 m
Therefore, the wavelength of the waves traveling along the string with given speed is 12 m.
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