The speed of propagation of the transverse wave in the wire is 4800 cm/s. The tension in the wire is 15.71 N and the maximum transverse acceleration is 11,105,600 cm/s².
A transverse wave is a type of wave in which the particles of the medium move in a direction perpendicular to the direction of energy propagation. Examples of transverse waves include light, radio, and other types of electromagnetic waves.
The speed of propagation is the speed at which a signal travels through a medium, such as a wire, fiber optic cable, or radio wave.
(a) Speed of propagation of the transverse wave in the wire =
v = λf
= (80.0 cm) (60.0 Hz)
= 4800 cm/s
b)Tension in the wire = F/A
= m(ω² X A_max) / A
= (40.0 g)(2π² X 60² X 0.300 cm²) / (80.0 cm)²
= 15.71 N
(c) Maximum transverse velocity = A_max X ω
= 0.300 cm X 2π X 60 Hz
= 1842.4 cm/s
Maximum transverse acceleration = A_max X ω²
= 0.300 cm X (2π X 60)²
= 11,105,600 cm/s²
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A 2 kg watermelon is dropped from a roof and has a speed of 5 m/s just before it hits the ground. How much kinetic energy does the watermelon have at this moment?
Answer:
25J
Explanation:
Given parameters:
Mass of the watermelon = 2kg
Speed before touching the ground = 5m/s
Unknown:
Kinetic energy = ?
Solution:
To solve this problem, we must understand that kinetic energy is the energy possessed by a body in motion.
K.E = \(\frac{1}{2}\) m v²
m is the mass
v is the velocity
Now, insert the parameters and solve;
K.E = \(\frac{1}{2}\) x 2 x 5² = 25J
does metals tend to be malleable and ductile and to have realtiy high melting points?
Metals are known for their unique properties such as malleability, ductility, and high melting points. Malleability is the ability of a metal to be hammered or pressed into thin sheets without breaking, while ductility refers to the ability of a metal to be stretched into thin wires.
These properties are due to the metallic bonding between atoms, which allows for layers of atoms to slide past one another without breaking the bonds.
The high melting points of metals are also a result of their metallic bonding. The strong electrostatic forces between metal ions and their surrounding sea of electrons require a large amount of energy to break apart, resulting in high melting points.
It is important to note that not all metals have the same properties. For example, some metals may be brittle and not easily malleable or ductile. Additionally, certain alloys, which are mixtures of two or more metals, may exhibit different properties than their constituent elements.
In summary, metals generally tend to be malleable and ductile with high melting points due to their metallic bonding, but variations in properties can occur depending on the specific metal or alloy.
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Car 2 passes car 1. To a stationary observer, car 1 has a velocity of 28 m/s to the east and car 2 has a velocity of 33 m/s to the east. How much time will pass before car 2 is 14 m ahead of car 1?
Answer:
\(2.8\; {\rm s}\).
Explanation:
The velocity of vehicle \(2\) relative to vehicle \(1\) is:
\(\begin{aligned}& \text{velocity of 2 relative to 1} \\ =\; & (\text{velocity of 2 relative to ground}) \\ &- (\text{velocity of 1 relative to ground}) \\ =\; & 33\; {\rm m\cdot s^{-1} - 28\; {\rm m\cdot s^{-1}} \\ =\; & 5\; {\rm m\cdot s^{-1}} && (\text{to the east})\end{aligned}\).
The displacement of vehicle \(2\) relative to vehicle \(1\) is currently \(0\; {\rm m}\). The rate at which this displacement increases is equal to the velocity of vehicle \(2\!\) relative to vehicle \(1\!\), which is \(5\; {\rm m\cdot s^{-1}}\).
Thus, it would take \((14 \; {\rm m}) / (5\; {\rm m\cdot s^{-1}}) = 2.8\; {\rm s}\) for this displacement to reach \(14\; {\rm m}\).
The figure below shows the change in volume of a liquid in a measuring cylinder when an irregular solid is immersed in it. Given that the density of the solid is 4g/cm³, determine the mass of the solid in SI units. (4mk) 100 80 60 40 une d 20 by a 100 80 60 40 20
The mass of the solid in SI units is 0.32 kg.
To determine the mass of the solid in SI units, we need to understand the principle of displacement and the relationship between volume, density, and mass.
The volume of the irregular solid can be determined by measuring the change in volume of the liquid in the measuring cylinder.
When the solid is immersed in the liquid, it displaces a certain volume of liquid equal to its own volume. This change in volume is represented by the difference in the liquid level before and after immersing the solid.
Given that the density of the solid is 4g/cm³, we can use the formula:
Mass = Density x Volume
Since the density is given in grams per cubic centimeter (g/cm³), and we want to determine the mass in SI units, we need to convert the volume to cubic meters (m³) and the mass to kilograms (kg).
First, convert the volume from cm³ to m³ by dividing it by 1,000,000 (since there are 1,000,000 cm³ in 1 m³).
Next, multiply the density by the converted volume to obtain the mass in grams. Finally, convert the mass from grams to kilograms by dividing it by 1000.
Using the given data points, we find that the change in volume of the liquid is 80 cm³. Therefore, the volume of the irregular solid is 80 cm³.
Now, we can calculate the mass as follows:
Mass = Density x Volume
Mass = 4g/cm³ x 80 cm³
Mass = 320g
Converting the mass to SI units:
Mass = 320g ÷ 1000
Mass = 0.32 kg
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what happens to the body when one organ is not working properly
Answer: Organ failure is when a major organ stops working. Major organs all have important jobs to keep the body alive. Each organ counts on the other ones to keep the body working. If one of these organs stops working, the patient will not be able to survive without the help of very strong medicines and/or machines.
Explanation:
Answer:
Organ failure is when a major organ stops working. Major organs all have important jobs to keep the body alive. Each organ counts on the other ones to keep the body working. ... If one of these organs stops working, the patient will not be able to survive without the help of very strong medicines and/or machines.
Explanation:
1. given the equipment made available during the lab, under what conditions could the mass of the atwood’s pulley be ignored while accurate results are still achieved? 2. if this experiment were done on venus, how would the rotational speed of the pulley (with the same masses) be affected? explain. 3. a. what is the definition of static friction? b. explain how static friction causes rolling motion in the galileo’s ramp experiment. 4. does friction affect the acceleration of the balls on the track? that is, how does the acceleration of the ball compare to that of a frictionless block sliding down the same ramp? explain, giving a value. 5. state whether your atwood’s machine is more or less precise that galileo’s ramp. which of the two set ups led to result that are more accurate? explain both.
The mass of the Atwood's pulley can be ignored if its contribution to the overall system's inertia is negligible.
This can be achieved when the mass of the pulley is much smaller compared to the masses hanging on either side of the pulley. In such a case, the effect of the pulley's mass on the acceleration of the system will be minimal, and accurate results can still be achieved.If the experiment were done on Venus, where the gravitational acceleration is significantly different from that of Earth, the rotational speed of the pulley (with the same masses) would be affected. The rotational speed of the pulley is determined by the difference in the masses and the gravitational acceleration. As the gravitational acceleration on Venus is lower than that on Earth, the rotational speed of the pulley would be slower on Venus compared to Earth for the same masses hanging on either side.
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Two positive point charges repel each other with force 0.36 N when their separation is 1.5 m. What force do they exert on each other when their separation is 1.0 m
Two positive points charges repel each other with force 0.36 N when their separation is 1.5 meter . Then the force exerted by two charges when the distance is 1.0 meter is 0.8 N.
Calculation:
R1 = 1.5 meter
R2 = 1 meter
F1 = 0.36 N
F1/F2 = R2^2/R1^2
F2 = R1^2/R2^2 × F1
F2 = 2.25 / 1 × 0.36
F2 = 0.81
What is electrostatic force ?Electrostatic force is type of force which act between two charges it is repulsive or attractive in nature. If both charge in same type then it will be repulsive and when both are in opposite nature then it will be attractive in nature.
Mathematically,
F = k× Q1× Q2/r^2
So,
In above problems
R1 = 1.5 meter
R2 = 1 meter
F1 = 0.36 N
F1/F2 = R2^2/R1^2
F2 = R1^2/R2^2 × F1
F2 = 2.25 / 1 × 0.36
F2 = 0.81
Therefore, Two positive points charges repel each other with force 0.36 N when their separation is 1.5 meter . Then the force exerted by two charges when the distance is 1.0 meter is 0.8 N.
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If a current of 2. 4 a is flowing in a wire of diameter 2. 0 mm, what is the average current density?
The average current density is 7.6 × 10⁵ A/m².
To calculate the current density current will be 2.4 A.
Diameter of a wire = 2mm.
The cross-sectional area of the wire is given by r = d/2
where r is the radius of the wire.
Then, the cross-sectional area is = 0.00000314159265
= 3.1 × 10⁻⁶ m².
What is average current density?Consider a current carrying conductor, the current density depends upon the current flow in the conductor. If the current flow in the conductor will be high then the current density will also be high. Using the average current flowing through the conductor, the average current density will be found.
Average current density j = I / A Ampere/ meter².
By substituting the values in the formula,
j = 2.4 / ( 3.1 × 10⁻⁶)
= 7.6 × 10⁵ A/m².
Hence, the current density can be calculated.
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what is the minimum coefficient of friction needed if the sphere is to roll without slipping?
Answer:
1/3
Thus, the larger the radius, the smaller the angular acceleration. For no slipping to occur, the coefficient of static friction must be greater than or equal to (1/3)tanθ ( 1 / 3 ) tan θ .
Explanation:
correct me if I'm wrong
a rock attached to a string swings back and forth every 6.4 s. how long is the string?
The length of the string is approximately 10.36 meters.
To calculate the length of the string for a pendulum that swings back and forth every 6.4 seconds, we can use the formula for the period of a simple pendulum: T = 2π√(L/g), where T is the period, L is the length of the string, and g is the acceleration due to gravity (approximately 9.81 m/s²).
Given the period T = 6.4 s, we can rearrange the formula to solve for L:
L = (T² * g) / (4π²)
L = ((6.4 s)² * 9.81 m/s²) / (4π²)
L ≈ 10.36 m
The length of the string is approximately 10.36 meters.
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You launch a ball in the air with an initial velocity of 25 m/s.
What is the acceleration going up ?
A. 9.81 m/s2
B. - 9.81 m/s2
C. 25 m/s
The acceleration of the object projected upwards is -9.8 m/s².
The given parameters;
initial velocity of the ball, u = 25 m/sA projectile moving upwards is influenced by acceleration due to gravity. The direction of the acceleration due to gravity is always downwards.
The kinematic equation for calculating the velocity is given as;
v = u + gt
where;
g is acceleration due to gravityFor upward motion, the equation is given as;
v = u + (-9.8)t
v = u - 9.8t
Thus, the acceleration of the object projected upwards is -9.8 m/s².
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A calculator is rated at 0.37 W when con-
nected to 2.60 V battery.
What is the resistance of this device?
Answer:
18.6 Ω
Explanation:
Resistance = \(\frac{Voltage}{Current}\)
But first we have to find the current.
Current = \(\frac{Power}{Voltage}\)
Power = 0.37W
Voltage = 2.60V
∴ Current = \(\frac{0.37}{2.60}\)
= 0.14 ( 3 significant figures)
Now we can find the resistance.
Resistance = \(\frac{2.60}{0.14}\)
= 18.6 Ω ( 3 significant figures)
A projectile is fired with a velocity of 320 ms at an angle of 30 degree to a horizontal.1 Find the time to reach the maximum height. 2 it's horizontal range.
(a) The time taken for the projectile to reach the maximum height is 32.65 s.
(b) The horizontal range of the projectile is 9,049.1 m.
The given parameters:
Initial velocity of the projectile, u = 320 m/sAngle of projection, = 30 degreesThe time taken for the projectile to reach the maximum height is calculated as follows;
\(v_f = u- gt\\\\0 = 320 - 9.8t\\\\9.8t = 320\\\\t = \frac{320}{9.8} \\\\t = 32.65 \ s\)
The horizontal range of the projectile is calculated as follows;
\(R = \frac{u^2 sin(2\theta)}{g} \\\\R = \frac{320^2 \times sin(2\times 30)}{9.8} \\\\R = 9,049.1 \ m\)
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A car is traveling constant spoed ol 12 12 m/s When the driver accelerates, the car reaches a speed of 26 m/s in s What is the average acceleration of the
Answer:
Average acceleration of the car is 1.167 m/s^2
Explanation:
The speed of car with which it is travelling is 12 m/s
As the driver accelerates the car, the speed reaches 26 m/s
The change in speed in 12 seconds is
26 -12 = 14 m/s
Average acceleration is change in speed divided by time
\(\frac{14}{12} \\1.167\) m/s^2
Running with an initial velocity of +11m/s, a horse has an average acceleration of -1.81m/s square. How long does it take for the horse to decrease its velocity to +6.5m/s
Given:
Initial velocity = 11 m/s
Average acceleration = -1.81 m/s²
Let's determine how long it takes the horse to decrease its velocity to 6.5 m/s.
Apply the equation of motion:
\(v=u+at\)Where:
v is the final velocity = 6.5 m/s
u is the initial velocity = 11 m/s
a is the acceleration = -1.81 m/s²
t is the time in seconds.
Thus, we have:
\(\begin{gathered} 6.5=11+(-1.81)t \\ \\ 6.5=11-1.81t \end{gathered}\)Let's solve for t.
Subtract 11 from both sides:
\(\begin{gathered} 6.5-11=11-11-1.81t \\ \\ -4.5=-1.81t \\ \\ \text{Divide both sides by -1.81:} \\ \frac{-4.5}{-1.81}=\frac{-1.81t}{-1.81} \\ \\ 2.49=t \\ \\ t=2.49\text{ seconds} \end{gathered}\)Therefore, it took the horse approximately 2.49 seconds to decrease its velocity to 6.5 m/s
ANSWER:
2.49 seconds.
An ideal step-down transformer has a turns ratio of 1/106. An ac voltage of amplitude 170 V is applied to the primary. If the primary current amplitude is 8.10 mA, what is the secondary current amplitude
Answer:
\(I_2=0.8586A\)
Explanation:
From the question we are told that:
Turns Ratio i.e\(\frac{N_2}{N_1}=\frac{1}{106} (step down)\)
Voltage \(v=170v\)
Primary current amplitude\(I_1= 8.10 mA =>8.10*10^{-3}A\)
Generally the equation for a Transformer is mathematically given by
\(\frac{E_1}{E_2}=\frac{I_2}{I_1}=\frac{N_1}{N_2}\)
Therefore
\(I_2=\frac{N_1}{N_2}*I_1\)
\(I_2=106*8.10*10^{-3}\)
\(I_2=0.8586A\)
If a bullet of mass 50 gm is moving with the velocity of 720 km/hr. Calculate its kinetic energy. Ans: here, mass (m)= 50 gm = 50/1000 kg = 0.05 kg velocity (v) = 720 km/hr= 720×1000/60×60=200m/s kinetic energy = ? We know, K.E.= 1/2 mv^2 = 1/2 × 0.05×(200)^2 = 0.05×40000/2 = 1000j ans. Is it correct???????
Answer:
yes 1000 j as I posted on the same Q elsewhere
Explanation:
In this experiment, you need to examine the idea of thermal energy transfer. Using a controlled experiment, what might a good question about the variables that affect thermal energy transfer be? Thermal energy transfer depends on many properties, but limit your question to only two.
We shall consider two properties to illustrate the experiment:
1. Temperature difference
2. Thermal conductivity of the material
How to explain the experiment?Use a steel or other suitable material cylindrical rod that has insulation all the way around it.
The rod is submerged in water at 40 degrees Celsius and a large reservoir of water at 100 degrees Celsius on opposite ends. The cold water is kept in a cylinder that is completely insulated. A thermometer measures the cold water's temperature over time.
This experiment will show that
(a) heat flows from a region of high temperature to a region of lower temperature.
(b) The thermal energy of a body increases when heat is added to it, and its temperature will rise.
(c) The thermal conductivity of water determines how quickly its temperature will rise. If mercury replaces water in the cold cylinder, its temperature will rise at a different rate because its thermal conductivity is different
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Which piece of evidence suggests that the inner planets were formed from the same rotating cloud of gas and dust?
The piece of evidence that suggests that the inner planets were formed from the same rotating cloud of gas and dust is that the planets orbit the sun in the same direction and in the same plane
Smaller planets like Mercury, Venus, Earth, and Mars are considered inner planets. Mercury is thought to be the smallest inner planet, with Earth being the largest. The vastly larger outer planets, such as Jupiter, Saturn, Uranus, and Neptune, are the opposite.
A route that an object or planet in space follows around another body is referred to as an orbit. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
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When a person speaks, a sound intensity is generated that is 600 times greater than when the person whispers. What is the difference in decibels between the sound level when the person speaks compared to when she whispers
Answer:
Originally : Level = log I / I0
Currently: Level = 10 log I / I0
Level = 10 log 600 = 10 * 2.78 = 27.8
Note the term 1 bel = 10 decibels
tonya wants to estimate what proportion of her school’s seniors plan to attend the prom. she interviews an srs of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom.
According to the information provided, it should be highlighted that the 750 seniors in the school and made up population of interest, and interest parameter is percentage of seniors who intend to attend prom.
Additionally, a strictly random sample is required in order to create a confidence interval. Additionally, the sample size should be examined to see if it adequately represents the population.Using the z crucial of 1.645, a 90% confidence interval will be built. The sample fraction in this case will be:= 36/50 = 0.72
Q = 1 - 0.72 = 0.28
n = 50
As a result, the confidence interval will be equal to 50 squared times the combination of 0.72 and 0.28. This amounts to 0.0635.
For a big sample randomly selected among 750 seniors, the interval here on context suggests that we are 90% certain that the fraction of those who desire to attend the prom falls within the interval.
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4. Which of the three approaches to sociological investigation best fit the study: scientific
sociology, interpretive sociology, or critical sociology? Why? (4 points)
Scientific sociology is one of the three methods of sociological investigation that fits the topic the best.
The definition of scientific sociologyIt is possible to define sociology as the scientific study of society, which includes a complete analysis of both internal and external elements that can have an impact on social structures and interaction patterns.
It should be noted that while the sociology field is very broad and full of opportunities that are required to complete the study that is being discussed in the work, this study focuses on social interaction and culture, which help to determine the things that can be used to learn more about the society.
In conclusion, of the three methods of sociological inquiry, scientific sociology is the most effective for the study of society.
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(d) The boy climbs the steps two at a time. (1) Does he use more energy getting to the top?. () Explain your answer.
Therefore, climbing two steps at a time allows the boy to use less energy overall to get to the top of the stairs.
Will boy use all his energy in climbing the stairs?If the boy climbs the steps two at a time, he will use less energy to get to the top compared to climbing the steps one at a time. This is because when he climbs two steps at a time, he covers a greater vertical distance with each step, reducing the total number of steps he needs to climb.
What is energy?The energy required to climb a single step is proportional to the vertical distance covered, which is the height of the step. When the boy climbs two steps at a time, the height he covers with each step is doubled, so he needs to climb fewer steps to reach the top. This means that he expends less energy overall, as the total energy required to climb the stairs is proportional to the number of steps he climbs.
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hydraulic freight elevator units rarely exceed ______ in height:
Due to these and other factors, hydraulic elevators are only suitable for structures up to seven stories in height and operate at speeds of 150 feet per minute or fewer.
The two primary categories of elevator systems are hydraulic and traction. Steel ropes or belts on a pulley system are used in traction elevators. Hydraulic jack, which are fluid-driven pistons that move inside of a cylinder, are what power hydraulic elevators. Hydraulic systems don't make use of overhead lifting equipment like traction elevators do. Instead, the movement in these elevators is created by the compression of fluids. An electric motor lifts the elevator cab by pumping oil into the cylinder, which moves the piston. Electrical valves are also included in hydraulic elevators to manage the oil's discharge for a smooth ride.
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Planet Gu orbits its host star on a roughly circular orbit. If Planet Gu is roughly 2 AU from its host star and moves along its orbit at a speed of 30 km/s, how long will it take the planet to complete one orbit
Planet Gu, located approximately 2 AU from its host star, completes one orbit in approximately 4.43 Earth years.
The time taken by a planet to complete one orbit, known as its orbital period, can be determined using Kepler's third law of planetary motion. This law states that the square of a planet's orbital period is proportional to the cube of its average distance from the host star. In this case, Planet Gu is located approximately 2 AU from its host star.
To calculate the orbital period, we can use the equation:
\(T^2 = (4\pi ^2/GM) * r^3\)
where T represents the orbital period, G is the gravitational constant, M is the mass of the host star, and r is the average distance between the planet and the star.
Since the planet is moving along its orbit at a constant speed, we can assume that it has a roughly circular orbit. Therefore, the average distance between the planet and the star is equal to its distance of 2 AU.
Plugging in the values and solving for T, we find:
\(T^2 = (4\pi ^2/GM) * (2 AU)^3\)
Using the appropriate values for G, M, and converting AU to kilometers, we can calculate the orbital period T. The result is approximately 4.43 Earth years.
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What is the length of the x-component of the vector shown below?
34°
8
OA. 4.5
OB. 6.6
OC. 5.4
OD. 8
Answer: B
Explanation: I am 99% sure that is correct I remember doing something very simular
What does the change in momentum and impulse have in common?
Answer:
Momentum is a vector quantity that has the same direction as the velocity of the object. The quantity of force multiplied by the time it is applied is called impulse. Impulse is a vector quantity that has the same direction as the force. Momentum and impulse have the same units: kg·m/s
Explanation:
Hope it helps!
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Help pls .. Which image shows an example of the weak nuclear force in action?
The third image represents the weak nuclear force in action, therefore the correct answer is option C.
What is a nuclear power plant?It is a particular kind of power plant where electricity is produced using a nuclear reactor that may use nuclear fusion or nuclear fission.
There are four fundamental forces of nature, gravitational force, electromagnetic force, strong nuclear force, and weak nuclear force.
There are two types of nuclear forces the third image represents the weak nuclear force.
The third image represents the weak nuclear force in action, therefore the correct answer is option C.
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ben is walking along some railroad tracks. he notices that the tracks appear closer together as he looks farther down the tracks until arriving at a single point. what is ben experiencing?
Ben is experiencing an optical illusion that is a common example of the way our brains interpret visual information to create our perception of the world around us.
Ben is experiencing an optical illusion known as the convergence of parallel lines. When parallel lines are extended into the distance, they appear to converge and eventually meet at a point, creating the illusion of the narrowing of the distance between the lines. This effect is more noticeable in situations where the lines are long, straight, and narrow, such as railroad tracks.
The convergence of parallel lines occurs because of the way our brain processes visual information. Our brain is wired to interpret depth and distance cues, such as the relative size and position of objects, to create a sense of three-dimensional space.
When we look at parallel lines extending into the distance, our brain uses the narrowing of the lines to interpret them as receding into the distance. This interpretation results in the illusion of the convergence of parallel lines.
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Alllura is running to the blue lion so she can join the others in forming voltron. if allura starts off
running at 2.50m/s and after 3.00s she has reached a velocity of 8.25m/s. what is her acceleration
over this time in meters per second
The acceleration will be 1.9166 m/s². According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
What is acceleration?The rate of change of velocity with respect to time is known as acceleration.
Given data:
u(Initial velocity)=2.50m/s
v(Final velocity)=8.25m/s
t(time period)= 3.00s
The acceleration of the Allura will be :
\(\rm a = \frac{v-u}{t} \\\\ a= \frac{8.25-2.50 }{3.00 }\\\\ a= 1.9166 \ m/s^2\)
Hence, the acceleration will be 1.9166 m/s².
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