B.
A star is not a vector quantity.
Neither is temperature.
What do you know about the current at different points in a series circuit?
A)it increases the farther it gets from the battery
B)it decreases the farther it gets from the battery
C)it decreases based on the resistance of the devices
D)it is the same at all points in the circuit
Answer:
D
Explanation:
In a series circuit there is only one path for the current to complete the path....so D
In an investigation, the atoms of a certain substance lose energy during a change of state. Before the change, the atoms are far apart and move constantly at high speeds and in all directions. After the change, the atoms are close together but are able to slide past one another. Use the diagram that shows changes of state between solid, liquid, and gas to answer the question. A diagram has a triangle at center with gas on top, liquid on bottom right, solid on bottom left. An arrow from gas to liquid is labeled O, and an arrow from liquid to gas is labeled N. An arrow from solid to liquid is labeled P, and an arrow from liquid to solid is labeled Q. An arrow from solid to gas is labeled L, and an arrow from gas to solid is labeled M. Which arrow represents the substance’s change of state? L N O P
The arrow that represents the change of state of the substance is gaseous to liquid (O).
What is change of state?A change of state occurs when a matter gains or losses energy.
A liquid can change into solid or gas. A gas change into liquid or solid, depending on the average change in temperature.
Change of state of gaseous substanceThe initial state of the substance is gas, because the atoms of the substance are far apart.
When the atoms are close together but are able to slide past one another, the state is liquid.
Note: atoms of solid substance are fixed.
Thus, the arrow that represents the change of state of the substance is gaseous to liquid (O).
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Considering the investigation and the observation made we can say the arrow that represents the change of state is: O
Meaning Change of state from gas to liquidA change of state is the process by which a matter changes from one physical form to another.
in change of state we have mainly three states: Liquid, Gas and Solid.
Changing from gas to liquid is called condensation, because the atoms of gases move freely and faster. but once the speed reduces and their movement becomes restricted, then we say a condensation has occurred.
In conclusion, from the observation made, we can say the arrow that represents the change is Arrow O. which is from gas to liquid.
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Particles q1 = -75.8 uC, q2 = +90.6 uQ, and q3 = -84.2 uC are in a line. Particles q1 and q2 are separated by 0.876m and particles q2 and q3 are separated by 0.432m. What is the net force on particle q3?
The net force on q3 due to q1 and q2 is \(-13.76 * 10^{-3} N\).
Electrostatic force is the fundamental force between charged particles. The electrostatic force is responsible for many phenomena in our daily life, from the attractive force between a magnet and a metal object to the lightning that occurs during a thunderstorm. We can calculate the net force between charged particles using Coulomb's law. In this question, we have three particles q1 = -75.8 uC, q2 = +90.6 uQ, and q3 = -84.2 uC, which are separated by distances r1 = 0.876m and r2 = 0.432m. The electrostatic force on q3 due to q1 and q2 can be calculated by using the formula: \(F13 = k q_1 q_3 / r_1^2 + k q_2 q_3 / r_2^2\), where k is the Coulomb's constant \(k = 9 * 10^9 N m^2 / C^2\). Plugging in the given values of q1, q2, q3, r1, r2, and k in the above formula, we can calculate the electrostatic force on q3 due to q1 and q2.F13 = (9 x 10^9) (-75.8 x 10^-6) (-84.2 x 10^-6) / (0.876)^2 + (9 x 10^9) (90.6 x 10^-6) (-84.2 x 10^-6) / (0.432)^2F13 = \(-13.76 * 10^{-3} N\). The negative sign indicates that the force is attractive and is directed towards q1 and q2. Therefore, the net force on q3 is given by the vector sum of the forces on q3 due to q1 and q2. Since the forces are collinear, we can add them algebraically. Fnet = F13 Fnet = \(-13.76 * 10^{-3} N\)The net force on q3 due to q1 and q2 is -13.76 x 10^-3 N. The negative sign indicates that the force is attractive and is directed towards q1 and q2.For more questions on net force
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In which situation would a bicycle rider NOT be accelerating?
If her direction changed and speed was constant.
If her speed decreased.
If her direction and speed were unchanged.
If her speed increased and direction was unchanged.
Answer:
If her direction and speed were unchanged.
Explanation:
Acceleration is a vector, so it has magnitude and direction.
If direction changes, acceleration exists.
If speed changes, acceleration exists.
5. A ball weighing 10 kg rolls 200 m down a frictionless incline with a 50 degree angle to the horizontal. If the ball’s initial velocity was 0 m/s, how much does the mechanical energy of the system change by the time the ball reaches its destination? A) It increased by 12%. B) It increases by 58%. C) It decreases by 12%. D) It does not change.
Answer:
D) It does not change
Explanation:
Since there is no friction in the inclined plane. Therefore, there is no loss in the total mechanical energy of the system. So according to the law of conservation of energy we can write:
Total Mechanical Energy at Start = Total Mechanical Energy at End + Frictional Loss
Total Mechanical Energy at Start = Total Mechanical Energy at End + 0
Total Mechanical Energy at Start = Total Mechanical Energy at End
It means there is no change in the total mechanical energy of the system.
Therefore, the correct option is:
D) It does not change
10. A spring whose composition is not completely known might be either bronze (sp gr 8.8) or brass (sp gr 8.4). It has a mass of 1.26 g when measured in air and 1.11 g in water. Which is it made of?
The element used is of bronze.
Now before we find out how we got the answer as bronze, firstly let us understand about the device we are talking about. That is, spring.
What exactly is a spring?
A spring is defined as a device that changes its shape in response to an external force, returning to its original shape when the force is removed. If we apply force or pressure in this device, it will change its shape but the moment we stop applying force, it will come back to its original state.
This means that this device is made of something flexible. So, the material it is made up of should also be flexible in nature.
How to find out flexibility of spring?
Flexibility of spring can be found as q = f Q, where f is the spring flexibility.
Here, in this question, we are given the mass of element in air and water. This shows a slight comparison between the mass of that particular element in air and water and thus, we get to know it is trying to draw our attention towards density.
Here, we have mass in air and water, thus, we can determine the density.
From these numbers, we can know that the density given is of bronze.
Hence, the element used is Bronze.
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A negative point charge q1 = 25 nC is located on the y axis at y = 0 and a positive point charge q2 = 10 nC is located at y =14 cm. Find the y coordinate of the points where the net electric potential due to these two charges is zero.
Answer:
y = 0.1 m
Explanation:
The electrical power for point loads is
V = \(k \sum \frac{q_i}{r_i}\)k Sum qi / ri
in this case
V = k (\(- \frac{q_1}{r_1 } + \frac{q_2}{r_2}\))
indicate that V = 0
\(\frac{q_1}{r_1} = \frac{q_2}{r_2}\)
r₂ = \(\frac{q_2}{q_1} r_1\)
the distance r1 is
r₁ = y -0
the distance r2
r₂ = 0.14 -y
we substitute
0.14 - y = \(\frac{10}{25}\) y
y ( \(\frac{10}{25} + 1\)) = 0.14
y 1.4 = 0.14
y = 0.14 / 1.4
y = 0.1 m
A 2 kg ball is dropped above the surface of Planet X. If the gravitational field strength at the surface of Planet X is 5 N/kg, what is the ball’s weight on the surface of Planet X?
Given data:
* The mass of the ball is 2 kg.
* The gravitational field strength at the surface of planet X is 5 N/kg.
Solution:
The weight of the ball on the planet X is,
\(W=ma\)where m is the mass of ball, a is the gravitational field strength,
Substituting the known values,
\(\begin{gathered} W=2\times5 \\ W=10\text{ N} \end{gathered}\)Thus, the weight of the ball on the surface of planet X is 10 N.
Why are weathering, erosion and deposition a NECESSARY process in the rock cycle?
ANSWER THIS NOW PLEASE! AND YOU GET 225 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
YESS well it is partly nessary but it depends on the situation
Explanation:
Answer:
Weathering, erosion, and deposistion are necessary processes in the rock cycle because:
Explanation:
First, start with igneous rocks. magma erupts (Extrusive igneous rocks) or solidifies in the sub-surface of the earth (Intrusive igneous rock). when they are exposed Weathering and erosion occur which is a slow breakdown of rock through the wind, water, or other processes. The weathered pieces (sediments) move to other places by wind or water and get deposited someplace else. When there are enough sediments and there is overburden pressure on these sediments, they become a sedimentary rock. Due to overburden pressure, they become metamorphic rocks. now the thing to understand here is that when metamorphic rocks are exposed, they too undergo weathering and erosion and their pieces also become sedimentary rocks.
2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere
Answer:
Motor cortex
Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).
Explanation:
In what way is the technique used by Öst in this video similar to both systematic desensitization and flooding (as described in Chapter 5)?
Answer:
Because the out in a video
Answer: it is gradual, fairly intense
Explanation:
Find the terminal velocity of a sphere that has a mass of 600g and a radius of 30cm. Take the density of air 1.2 kg/m^3 . Report the speed in mph.
The terminal velocity of the sphere is approximately 22.68 mph.
The terminal velocity of a sphere is the constant speed at which the gravitational force pulling the sphere down is balanced by the drag force pushing the sphere up. The drag force is proportional to the velocity of the sphere, and can be calculated using the following formula:
Fd = (1/2) * rho * Cd * A * v²
where Fd is the drag force, rho is the density of the fluid (air in this case), Cd is the drag coefficient (which depends on the shape of the object), A is the cross-sectional area of the object perpendicular to the direction of motion, and v is the velocity of the object.
The gravitational force pulling the sphere down is given by:
Fg = m * g
where m is the mass of the sphere and g is the acceleration due to gravity.
At terminal velocity, the drag force is equal in magnitude to the gravitational force, so:
Fd = Fg
Substituting the expressions for Fd and Fg and solving for v, we get:
v = √((2 * m * g) / (rho * Cd * A))
where A = pi * r² is the cross-sectional area of the sphere, and r is the radius of the sphere.
Plugging in the given values, we get:
v = sqrt((2 * 0.6 * 9.81) / (1.2 * 0.47 * pi * 0.3²)) ≈ 10.13 m/s
To convert this to mph, we multiply by 2.23694:
v ≈ 22.68 mph
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how long does it take for light to travel 2.5m in water?
In physics, a is a group of related objects that interact with each other and form a complex whole.
Answer: a system
Explanation: just did the test
Answer:
system is correct
Explanation:
A see saw at the park has a length of 3.0 m. Sally has a mass of 30 kg and wants to see saw with Sarah who has a mass of 40 kg. If Sally sits on the very right end of the see saw, how far from the center should Sarah sit?
Answer:
\(1.125\; {\rm m}\).
Explanation:
The torque that Sarah and Sally exert on this seesaw need to be equal in magnitude.
The weight of Sarah is \(m(\text{Sarah})\, g\), where \(m(\text{Sarah}) = 40\; {\rm kg}\).
The weight of Sally is \(m(\text{Sally})\, g\), where \(m(\text{Sally}) = 30\; {\rm kg}\).
Assuming that the seesaw is level. The force that Sarah exerts on the seesaw will be perpendicular to the seesaw. The resultant torque will be of magnitude \(\tau(\text{Sarah}) = m(\text{Sally})\, g\, l(\text{Sarah})\), where \(l(\text{Sarah})\) is the distance between Sarah and the center of the seesaw (the fulcrum).
Similarly, the torque from Sally will have a magnitude of \(\tau(\text{Sally}) = m(\text{Sally})\, g\, l(\text{Sally})\), where \(l(\text{Sally}) = (3.0 / 2)\; {\rm m} = 1.5\; {\rm m}\) is the distance between Sally and the center of the seesaw.
The magnitude of the two torques should be equal. Thus:
\(m(\text{Sarah})\, g\, l(\text{Sarah}) = m(\text{Sally})\, g\, l(\text{Sally})\).
Rewrite this equation and solve for \(l(\text{Sarah})\):
\(\begin{aligned}l(\text{Sarah}) &= \frac{m(\text{Sally})\, g\, l(\text{Sally})}{m(\text{Sarah})\, g} \\ &= \frac{m(\text{Sally})}{m(\text{Sarah})}\, l(\text{Sally})\\ &= \frac{30\; {\rm kg}}{40\; {\rm kg}}\, (1.5\; {\rm m}) \\ &= 1.125\; {\rm m}\end{aligned}\).
PLEASE HELP! 20 points!!
The infamous chicken is dashing toward home plate with a speed of 5.8m/s when he decided to hit the dirt. The chicken slides for 1.1s. Just reaching hte plate as he stops(safe, of course). (A)What is the magnitude and direction of the chickens acceleration? (B) How far did the chicken slide?
please show all work!
The chicken needs to have an acceleration such that after time t his Velocity is 0, shown in the equation:
0 = V + at
-5.8 = 1.1 x a
a = -5.8 / 1.1
a = -5.2727 m/s/s.
The distance traveled in a time t with velocity V and acceleration is given by:
D = Vot + 1/2 at2
D = 5.8 x 1.1 - 1/2 x 5.2727 x 1.12
D = 3.19m.
Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both. There are three main types of accelerated motion uniform acceleration, unequal acceleration, and average acceleration.
The term uniform acceleration refers to the motion of a body moving in a straight line with an increasing velocity at equal time intervals. Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. Velocity is a vector quantity because it consists of both magnitude and direction. Since acceleration is the rate of change of velocity it is also a vector quantity. Acceleration occurs whenever an object increases or decreases its speed or changes direction.
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If an object is accelerating at a rate of 8 m/s^2 what is the mass of the box.
See attached
Answer:
50 kg
Explanation:
fnet=ma
600-200=m8
divide both side by 8 to make m the subject of the formula Thus m=50kg
a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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the acceleration of a particle is defined by the relation 1 , xa k e where k is a constant. knowing that the velocity of the particle is 9v m/s when 3x m and that the particle comes to rest at the origin, determine (a) the value of k, (b) the velocity of the particle when 2x m.
Determine (a) the value of k in light of the fact that the particle has a velocity of +9 m/s at x=-3 m and rests at the origin.
How fast are particles moving?The speed of a particle—real or hypothetical—in a medium because it transmits a pulse is known as the particle velocity. The meter per second (m/s) is the metric unit for particle speed. Most of the time, this pressure wave is longitudinal, such as with noise, but it may also be transverse, similar to the vibration of the a tight string.
Why is a particle at rest important?You could understand the phrase "A particle in repose prefers to stay at rest" to mean that what a particle that isn't moving relative to a certain context aware tends to remain stationary relative to those same things.
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An ideal gas initially is allowed to expand isothermally until its volume of 1.6 L and pressure is 5 kPa, undergoes isothermal expansion until its volume is 8 L and its pressure is 1 kPa.
1. Calculate the work done by the gas. Answer in units of kJ.
2. Find the heat added to the gas during this process. Answer in units of kJ.
(a) The work done by the gas during the isothermal expansion is -25.6 J.
(b) The heat added to the gas during this process is 25.6 J.
Net work done by the ideal gas against the external pressureThe net work done by the ideal gas in the isothermal expansion is calculated as follows;
W(net) = ΔP x ΔV
W(net) = ( 1 kPa - 5 kPa) x (8L - 1.6 L)
W(net) = -25.6 kPa.L
W(net) = -25.6 J
Head added to the gasThe heat added to the gas is calculated as follows;
W = -Q
-25.6 J = -Q
Q = 25.6 J
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After combining components of two vectors to be added, it was found that the resultant vector has an x-component of -177 cm and a y.component of -214 cm
What angle measured counterclockwise from the positive x-axis will properly describe the direction of the resultant vector? (Round to the nearest tenth of a
degree.)
0 219,6
O 50.4
оооо
O 3204
0 230.4
The angle measured counterclockwise from the positive x-axis is θ = 50.4°
How to get the angle correspondent to a vector?
Here we know that the vector is:
V = < -177 cm, -214 cm>
To get the correspondent angle for this vector, we can think that this is the hypotenuse of a right triangle, such that the y-component and x-component are the cathetus.
Then, to get the angle (measured counterclockwise from the positive x-axis) is given by:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Tan(θ) = (-214cm)/(-177 cm)
Using the inverse tangent function we get:
Atan(Tan(θ)) = Atan((-214cm)/(-177 cm))
θ = 50.4°
So the angle is 50.4°
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Ann and Bob are pushing opposite sides
of a door with I = 10.5 kg-m2. Ann
pushes 34.8 N at 0.732 m from the axis,
while Bob pushes 59.6 N at 0.300 m,
both perpendicular to the door. What is
the angular acceleration?
The angular acceleration of the door is approximately 0.723 rad/s^2.
How to solve this problemFirst we can use the equation for torque:
torque = force * lever arm
where
torque is the net torque acting on the doorforce is the force applied by each person, and lever arm is the distance from the axis of rotation to the point where the force is appliedThe net torque causes angular acceleration of the door, which is related to torque by the equation:
torque = moment of inertia * angular acceleration
Where moment of inertia is a measure of how difficult it is to change the rotational motion of the door.
In this case, we can calculate the net torque on the door as the sum of the torques due to Ann and Bob:
torque_net = torque_Ann + torque_Bob
where
torque_Ann = force_Ann * lever_arm_Anntorque_Bob = force_Bob * lever_arm_BobSubstituting the given values, we have:
torque_Ann = 34.8 N * 0.732 m = 25.46 N·m
torque_Bob = 59.6 N * 0.300 m = 17.88 N·m
torque_net = 25.46 N·m - 17.88 N·m = 7.58 N·m
Next, we can calculate the moment of inertia of the door, using the given value:
moment of inertia = I = 10.5 kg-m^2
Finally, we can use the equation for angular acceleration to solve for the unknown:
torque_net = moment of inertia * angular acceleration
Solving for angular acceleration, we get:
angular acceleration = torque_net / moment of inertia
Substituting the previously calculated values, we have:
angular acceleration = 7.58 N·m / 10.5 kg-m^2
≈ 0.723 rad/s^2
Therefore, the angular acceleration of the door is approximately 0.723 rad/s^2.
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A ball is thrown vertically upwards with a velocity of 10 m /s from the balcony of a tall building.
The balcony is 15m above the ground and gravitational acceleration is 10m/s^2.
Calculate the time taken for the ball to reach maximum height.
The time taken for the ball to reach its maximum height is 1 second.
To calculate the time taken for the ball to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case, the ball is thrown vertically upwards, so the initial velocity (u) is 10 m/s (considering upwards as positive) and the acceleration (a) is -10 m/s² (negative because it opposes the motion).
The final velocity (v) at the maximum height will be zero because the ball momentarily comes to a stop before reversing its direction. Therefore, we can rewrite the equation as:
0 = 10 - 10t
Simplifying the equation, we get:
10t = 10
Dividing both sides by 10, we find:
t = 1 second
Therefore, the time taken for the ball to reach its maximum height is 1 second.
During this time, the ball covers the distance required to reach the maximum height, overcoming the gravitational acceleration. After reaching the maximum height, it will start to descend towards the ground due to the gravitational pull.
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Determine the magnitude of the resultant force FR=F1+F2FR=F1+F2. Assume that F1F1F_1 = 235 lblb and F2F2F_2 = 350 l
Answer:
585lb
Explanation:
Given the following
F1 = 235lb
F2 = 350lb
The resultant is expressed as;
FR = F1+F2
Substitute the given values
FR = 235+350
FR = 585lb
Hence the magnitude of the resultant is 585lb
If an object is placed 15cm in of front of a concave mirror of radius Curvature 20cm. Determine the position of the image formed
The image will be formed at a distance of 30 cm in its front. Hence, this is the required solution.
Given that,
Object distance, u = -15 cm
The radius of curvature of the concave mirror, R = 20 cm
Focal length, f = R/2 = -10 cm (negative for concave mirror)
Let v is the distance between mirror and the formed image. Using mirror's formula to find it as :
\($\frac{1}{u}+\frac{1}{v}=\frac{1}{f}$\)
\($\frac{1}{v}=\frac{1}{f}-\frac{1}{u}$\)
\($\frac{1}{v}=\frac{1}{(-10)}-\frac{1}{(-15)}$\)
\($v=-30 \mathrm{~cm}$\)
So, the image will be formed at a distance of 30 cm in its front. Hence, this is the required solution.
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What does a food chain show?"
why plant and animal matter break down
O where resources are found in a habitat
O how producers use sunlight to make food energy
O how living things depend on each other for food
Answer:
All
Explanation:
Answer:
3rd = how living things depend on each other for food
1. What type of plate boundary is at the point labeled "A ""?
At the point labelled A, we have Plate A to be an oceanic plate because it is relatively thinner compared to plate B.
What is the oceanic plate?Oceanic plates are described as plates that are located beneath the ocean. As the name implies, oceanic plates are denser than continental ones, the reason is that because they are made of denser rocks. Oceanic plates are typically composed of basalt.
Oceanic plates are formed from mantle material at midocean ridges.
The young oceanic lithosphere is hot and buoyant having low density when it forms at a midocean ridge. But as it spreads away from the ridge and cools and contracts becoming more denser it is able to sink into the hotter underlying mantle.
Oceanic plate moves as the heat from radioactive processes within the planet's interior causing the plates to move most at times toward and sometimes away from each other.
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The metal wire is stretched so that its cross-section is still circular but its total length is now 10 meters. What is the resistance of the wire after stretching
How would Coulomb's Law be written if the charge of an electron was instead defined as positive and the proton as negative?F = -kQq/r2F = kQq/r2F = -kQ/r2F = kq/r2
Given,
Electron are positive and the charge can be considered as q.
Proton are negative and the charge can be considered as -Q.
Thus the coloumb's law is
\(\begin{gathered} F=k\frac{q(-Q)}{r^2} \\ \Rightarrow F=-k\frac{qQ}{r^2} \end{gathered}\)The answer is:
\(F=-k\frac{qQ}{r^2}\)child rocks back and forth on a porch swing with an amplitude of 0.290 m and a period of 2.20 s . You may want to review (Pages 425 - 430) . Part A Assuming the motion is approximately simple harmonic, find the child's maximum speed.
This question involves the concepts of simple harmonic motion and maximum speed.
The maximum speed of the child is "0.83 m/s".
The maximum speed in the simple harmonic motion is given by the following formula:
\(v=A\omega\)
where,
v = maximum speed = ?
A = Amplitude = 0.29 m
T = period = 2.2 s
ω = angular frequency = \(\frac{2\pi}{T} = \frac{2\pi}{2.2\ s} = 2.86\ rad/s\)
Therefore,
v = (0.29 m)(2.86 rad/s)
v = 0.83 m/s
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The expressions of the simple harmonic movement allows to find the maximum speed of the swing is:
The maximum speed is: v = 0.828 m / s
The simple harmonic movement is a periodic movement where the restoring force is proportional to the elongation, in the case of a swing it can be approximated to a simple pendulum which is a mass with an inextensible chord., For small oscillations (θ <15º), is described by the expression.
θ = θ₀ cos (wt + Ф)
w² = L / g
Where θ are the angles, θ₀ the initial angle, w the angular velocity, t the time and Ф a phase constant that is determined by the initial conditions, g the acceleration of gravity and L the length of the pendulum.
Speed is defined in kinematics.
w =\(\frac{d \theta}{dt}\\\)
w = \(- \theta_o w \ \frac{d \theta }{dt}\)
The speed is maximum when the sine function is equal to ±1
w = \(\theta_o w\)
The angular velocity is related to the period.
w = \(\frac{2\pi }{T}\)
Let's replace.
w = \(\theta_o \ \frac{2 \pi }{T}\)
In rotational motion the eels must be in radians y and the linear and angular variables are related.
\(\theta = s/R\\s = R\theta\)
v = w R
w = \(\frac{v}{R}\)
We substitute.
v = \(\frac{2 \pi \ s}{T}\)
Let's calculate
v = \(2 \pi \frac{0.290}{2.20}\)2pi 0.290 / 2.20
v = 0.828 m / s
In conclusion using the expressions of the simple harmonic motion we can find the maximum speed of the swing is:
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