an object in shm oscillates with a period of 4.0 s and an amplitude of 10 cm. how long does the object take to move x

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Answer 1

An object in SHM oscillates with a period of 4.0 s and an amplitude of 10 cm. The object takes to move is 0.409s.

The time it takes for an object in simple harmonic motion (SHM) to move a certain distance can be calculated using the formula:

x = A sin ωt

where,

t is the time to move a distance x, time period T = 4 s

A is the amplitude of the oscillation

ω is Angular frequency = 2π/T= 1.57 rad/s

Then,

x = A sin ωt

6 = 10 sin(1.57t)

sin(1.57t) = 0.6

1.57 t = 0.6435

t= 0.409s.

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Related Questions

in a certain region of space the electric potential increases uniformly from east to west and does not vary in any other direction. the electric field:

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In this case, the electric field in that area will cause a charged particle to experience a force in the direction of the increasing electric potential if it is discharged at a position with a lower electric potential.

When the electric potential is known to stay constant in a particular area of space, what is the electric field in that area?

Zero There is no direction of greatest increase if the electric potential is constant. Therefore, anywhere inside the region of continuous electric field, the electric field is zero and the gradient of the electric potential is also zero.

What factors determine the electric field potential in a particular area of space?

Only the x coordinate, where a and b are constants, determines the field potential in a specific area of space. Discover the space charge's Q(x) distribution. As V=ax3+b, the electric field potential at a given location in space only depends on the x coordinates.

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PLEASE HELP ASAP 30 POINTS AND BRAINLY IF RIGHT. The arrow in the photo represents a force.
Which force is equal but opposite to the one shown?

Answers

Answer:

the ancer is c I know it because I had the same test or it might have been different but it looks familiar to me

A sphere with radius 2. 0 mm carries a 3 μc charge. What is the potential difference, vb - va , between point b 3 m from the center of the sphere and point a 7 m from the center of the sphere? (the value of k is 9. 0 × 109 n∙m2/c2. )

Answers

The potential difference between point b and point a on the charged sphere with a 3 μC charge and a radius of 2.0 mm is [tex]1.57 * 10^5[/tex] volts.

The potential difference between two points on a charged sphere can be calculated using the formula for electric potential: V = k * Q / r, where k is Coulomb's constant ([tex]9.0 * 10^9 Nm^2/C^2[/tex]), Q is the charge on the sphere (3 μC), and r is the distance from the center of the sphere to the point in question. To find the potential difference, we subtract the potential at point a from the potential at point b.

Put values so find that the potential at point a is:

Va = k * Q / ra = ([tex]9.0 * 10^9 Nm^2/C^2[/tex]) * ([tex]3 * 10^-6 C[/tex]) / (7 m) = [tex]1.29 * 10^5[/tex] V.

And the potential at point b is:

Vb = k * Q / rb = ([tex]9.0 * 10^9 Nm^2/C^2[/tex]) * ([tex]3 * 10^-6 C[/tex]) / (3 m) = [tex]2.86 * 10^5[/tex] V.

The potential difference between the two points is then:

Vb - Va = [tex]2.86 * 10^5 V - 1.29 * 10^5 V[/tex] = [tex]1.57 * 10^5[/tex] V.

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now describe the relationship between the force and the electric field. again, how are they related conceptually and mathematically?

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The relationship between the force and the electric field is described by Coulomb's law is F = qE.

The relationship between the force and the electric field is described by Coulomb's law, which states that the force experienced by a point charge in an electric field is proportional to the magnitude of the charge and the electric field. Mathematically, Coulomb's law can be expressed as:

F = qE

where F is the force experienced by the point charge (q), E is the electric field, and q is the magnitude of the charge.

Conceptually, the electric field can be thought of as a field of force that is created by charged particles. A point charge placed in this field experiences a force proportional to both the magnitude of the charge and the strength of the field. This relationship between the electric field and the force experienced by a point charge forms the basis of Coulomb's law.

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How many centimeters is the moon moving away from the earth each year?

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Moon is moving away by 3.8 centimeters every year from the earth.

Because of its power of attraction, the moon pulls specific pieces of the Earth nearer to it more emphatically, making the flowing lump in the expanses of our planet. Since the Earth pivots a lot quicker than the moon, this lump happens somewhat in front of the last option, which, because of various actual peculiarities, drives the moon into a higher circle around Earth.

It's hazardously simple to underestimate the moon. Exactly the same thing is valid for the sun. In any case, if not for their everlasting presence in our skies, life on Earth would be extremely, not quite the same as what it is presently, and it wouldn't be an especially charming thing for us!

Notwithstanding, our main natural satellite - the moon - is really creating some distance from Earth. Its circle is getting bigger consistently!

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determine the stretch in spring ac (in cm.) for for equilibrium of the 1.9-kg block. the springs are shown in the equilibrium position. determine the stretch in spring ac in cm.

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The stretch in spring ac (in cm.) for the equilibrium of the 1.9-kg block. the springs are shown in the equilibrium position is 0.9 cm.The two springs are in equilibrium when the block is suspended between them.

The two springs have the same spring constants (k), and the same force is exerted on the block by each spring. Therefore, the distance between the block and the wall is equal to the stretch in spring AC.  In order to determine the stretch in spring AC, we can use the equation F = k * x, where F is the force exerted by the spring, k is the spring constant, and x is the stretch in the spring.

Since the mass of the block is 1.9 kg, the force exerted by the spring is 1.9 kg * 9.8 m/s2, which is equal to 18.82 N. We also know that the spring constant is equal to 18 N/m. Substituting these values into the equation yields 18.82 N = 18 N/m * x. Solving for x gives us a stretch of 0.9 cm.

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how long (in s) would it take to reach the ground if it is thrown straight down with the same speed?

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If an object is thrown straight down with the same speed, the time it takes to reach the ground depends on the height from which it was thrown and can be calculated using the formula [tex]t = sqrt(2h/g)[/tex]  where t is the time, h is the height, and g is the acceleration due to gravity, which is approximately equal to [tex]9.8 m/s^2[/tex] near the surface of the Earth.

If the object is thrown straight down with the same speed, it means that has zero initial velocity. In this case, the height h is simply the height from which the object was thrown.

Therefore:

[tex]t = sqrt(2h/g)[/tex]

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a control volume is a system that group of answer choices allows a transfer of matter across its boundary. always has a constant volume always contains the same matter. does not interact in any way with its surroundings.

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A control volume is a system that  always has a constant volume

What does "control volume" refer to?

A control volume is a volume of interest for a specific analysis in space. The control surface, which is a closed surface, is the surface of the control volume. A coordinate system that may be fixed, moving, or rotational is used to define the surface.

A control volume is a set area of space that is used to examine mass and energy balances for flowing systems using thermodynamics. An actual or hypothetical envelope may serve as the control volume's boundary. The control volume's perimeter is defined by the control surface.

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consider two oppositely charged metal spheres having equal quantities of charge. they are bought into contact with each other using a neutral metal rod. what is the final charge state of each sphere and the rod?

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The final charge state of each sphere and the rod is observed to be neutral state.

Initially, the two spheres and the metal rod are not in contact. As, all the three objects are made of metal, they are charge and electricity conductors.

As the spheres have an equal amount of opposing charge when they come in contact with neutral metal rod, electrons transfer from negatively charged sphere to positively charged sphere through the metal rod until the whole system reaches electrostatic equilibrium.

Due to an equal quantity of opposite charge in the initial state, the system will be in a neutral state.

When there is a constant between two spheres over a metal rod and electrons, the system as a whole has neutral charge.

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discuss what will happen if the single cosinusoidal term on the rhs of of eq. 10.58 is replaced by two or more cosinusoidal terms, each with a different drive frequency.

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Replacing the single co-sinusoidal term with two or more terms of different frequencies will lead to a more complex motion of the oscillator, with multiple oscillations superimposed on each other.

The resulting motion may exhibit resonance or chaotic behavior, depending on the frequencies of the driving forces and the natural frequency of the oscillator. This occurs when the frequency of the driving force matches the natural frequency of the oscillator, leading to a large amplitude oscillation. Frequencies of the driving forces are not in resonance with the natural frequency of the oscillator, the resulting motion may be chaotic, with the oscillator undergoing complex oscillations of varying frequencies and amplitudes.

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a sheet of glass having an index of refraction of 1.40 is to be coated with a film of material having a refractive index of 1.55 such that yellow light with a wavelength of 580 nm (in vacuum) incident normally is preferentially transmitted. what is the minimum thickness of the film in nm that will achieve this result?

Answers

The minimum thickness of the film is 169.35 nm.

Wave interference is when two waves collide while traveling through the same medium. A wave is a point-by-point combination of two waves. Constructive interference occurs when the resulting wave is larger than either source wave. Destructive interference occurs when the resulting wave is smaller than the two source waves. Initial wavelength = π due to dense medium.

Δφ1 = π (4dnb/λ)

The minimum thickness of the film is reached after the result is calculated as

Δφ12 = Δφ1 − Δφ2 

d= [tex]\frac{525}{3.1}[/tex]

d= 169.35 nm

Minimum thickness of the film will be 169.35 nm.

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Describe something Joule believed that contradicted the beliefs of his peers.

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Answer:

Joule, a 19th-century physicist, believed in the conservation of energy, which contradicted the beliefs of his peers at the time. His contemporaries believed that energy was a substance that could be created or destroyed. In contrast, Joule believed that energy could only be transformed from one form to another but could never be created or destroyed. He demonstrated this through a series of experiments where he showed that heat and mechanical work were equivalent forms of energy and that the total amount of energy in a closed system remained constant.

Joule's ideas challenged the established scientific beliefs of his time. They paved the way for the development of the first law of thermodynamics, which states that the total energy in a closed system is constant and cannot be created or destroyed. By proposing and demonstrating these ideas, Joule made significant contributions to the development of classical physics and helped lay the foundations of modern energy science.

Answer:

James Prescott Joule was a 19th-century British physicist who made significant contributions to the study of thermodynamics. One of his beliefs that contradicted the beliefs of his peers was the idea that heat was a form of energy.

At the time, the prevalent belief was that heat was a fluid-like substance called "caloric" that flowed from hot objects to cold objects. Joule challenged this idea and proposed that heat was actually a form of energy that could be transformed into other forms of energy, such as mechanical energy.

Joule's work showed that heat was a conserved quantity, much like energy, and that it could be quantified in terms of work done. This was a significant departure from the prevailing ideas of the time and helped lay the foundation for the study of thermodynamics.

a 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of if the clay comes to a stop in what is the average horizontal force on the clay due to the wall?

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According to the solving  the average force experienced by the clay  = 42N.

How much average force as well as impulse is there?

The term "impulse of force" refers to the sum of average force and time of application. according to Newton's second law. Providing the mass is constant, it is possible to calculate the impulse of force and discover that it equals the change in momentum of an object. Calculation.

According to the given information:

Mass of the blob of clay is m=0.24kg

Initial velocity of the blob of clay is vi=16m/s

Final velocity of the blob of clay is vf=0m/s

The following formula can be used to calculate the change in the clay blob's linear momentum:

ΔP = M(vf - vi)

   = (0.24 kg)(0m/s - ( - 16 m/s)

  = 3.48 kg . m/s

So, the following formula can be used to calculate the average force that the clay encountered:
F[tex]_a_v_g[/tex] = ΔP/Δt

       = (3.84 kg . m/s)/ 91ms

     = (3.84 kg . m/s)/91 × 10⁻³ s

     = 42N.

According to the solving  the average force experienced by the clay  = 42N.

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A 0.24 kg blob of clay is thrown at a wall with an initial velocity of 16 m/s. If the clay comes to a stop in 91 ms, what is the average force experienced by the clay?

A) 42 N

B) 26 N

C) 35 N

D) 51 N

the two lines on the p-v diagram are called isotherms, lines of constant temperature. which isotherm represents the higher temperature?

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The two lines on the p-v diagram would be T2 because of their higher pressure if they were isotherms—lines of constant temperature.

What are the isotherms?

An isotherm is a geographic line that connects locations with the same temperature at a particular time. The state of a gas will change on the PV diagram as it undergoes a thermodynamics process, drawing out a path as it progresses.

Isotherms are frequently used in meteorology to depict the temperature distribution at the Earth's surface, or to represent constant level or constant pressure on a chart.

A refrigerator operates isothermally. The refrigerator's mechanism goes through a lot of changes, but the temperature inside remains constant.

Therefore, the environment receives the heat energy that has been dissipated here. Another example of an isothermal process is the heat pump.

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the automobile has a speed of 80 ft>s at point a and an acceleration having a magnitude of 10 ft>s2, acting in the direction shown. determine the radius of curvature of the path at point a and the tangential component of acceleration.

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The tangential component of acceleration is calculated to be 8.66 ft/s² and the radius of curvature is 1280 ft.

The tangential acceleration is known to be a measure of the rate of change in the magnitude of a velocity vector.

Speed of the automobile = 80 ft/s

Acceleration of the automobile a = 10 ft/s²

Construct a triangle with 30°, 60°, 90° with vector a as the hypotenuse, t and n as the legs.

an is the centripetal acceleration along n direction.

at is the tangential acceleration along t direction.

sinθ = an/a

an = a sinθ = 10 sin30° = 10(1/2) = 5 ft/s²

cosθ = at/a

at = a cosθ = 10 cos30° = 10(1/√2) = 10(0.866) = 8.66 ft/s²

From centripetal acceleration, we know,

an = v²/r

r = v²/an = 80²/ 5 = 1280 ft

Thus, the tangential component of acceleration is 8.66 ft/s² and the radius of curvature is 1280 ft.

The given question is incomplete without the figure. It is given in the attachment below.

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at absolute zero temperature, state the pressure that a fluid exerts on its system container.

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At absolute zero temperature, all molecules of a fluid would have zero kinetic energy and would be at rest. Therefore, the fluid would exert zero pressure on its system container.

This is because pressure arises due to the collision of molecules with the walls of the container, and at absolute zero temperature, there is no molecular motion or collision. At absolute zero temperature, there is no molecular motion or collision, and therefore, there can be no pressure. The molecules are frozen in place, and they cannot exert any force on the walls of the container. This means that the pressure of the fluid is zero at absolute zero temperature.

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a force pair is created when you push on a large crate that rests on the floor. the crate does not move when pushed. which free-body diagram correctly represents the forces acting on the crate? (note: vectors are not drawn to scale)

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Each half of the force pair acts on a different object Free-body diagram correctly represents the forces acting on the crate.

In physics and engineering, a loose body diagram (FBD; additionally known as a pressure diagram) is a graphical example used to visualize the implemented forces, moments, and resulting reactions on a body in a given condition. It depicts a body or connected bodies with all the implemented forces and moments, and reactions, which act at the body(ies). The frame might also encompass multiple internal participants (along with a truss), or be a compact frame (together with a beam). a chain of loose bodies and other diagrams can be necessary to remedy complicated troubles.

Loose frame diagrams are used to visualize forces and moments implemented in a body and to calculate reactions in mechanics issues. those diagrams are frequently used to decide the loading of character structural components and to calculate inner forces inside a structure. they're used by maximum engineering disciplines from Biomechanics to Structural Engineering.

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if you wanted to sail around the globe but wanted to remain south of africa and south america, what single current could you use to speed up your trip?

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Answer: electromagnetism

Explanation: hope this hel[ps

a charged particle a exerts a force of 2.38 n to the right on charged particle b when the particles are 12.9 mm apart. particle b moves straight away from a to make the distance between them 18.2 mm. what vector force does particle b then exert on a?

Answers

The magnitude of the force that particle b exerts on particle a is 0.86 N. To find the vector force, we need to determine the direction of the force. Since particle b is moving directly away from particle a, the force it exerts on particle a is in the opposite direction, i.e., to the left. Therefore, the vector force is -0.86 N in the x-direction.

What is the force?

Force is an interaction between two objects that occurs when one object exerts a push or pull on the other. Forces can cause objects to accelerate, decelerate, or change direction. In classical mechanics, the force is described by Newton's second law of motion, which states that the rate of change of momentum of an object is proportional to the applied force.

We can use Coulomb's Law to calculate the magnitude of the force between the two charged particles:

[tex]\mathrm{F = k \times q_1 \times q_2 / r^2}[/tex]

where F is the force, k is the Coulomb constant, q1 and q2 are the charges of the particles, and r is the distance between them.

Let's assume that particle a has a positive charge and particle b has a negative charge. Then, we can write the following equation based on the information given:

[tex]\mathrm{2.38 N = k \times q_1 \times q_2 / (12.9 mm)^2}[/tex]

We also know that the distance between the particles increases to 18.2 mm. Since particle b moves away from particle a, the direction of the force it exerts on particle a is opposite to the direction of the force that particle a exerts on particle b.

To calculate the magnitude of the force that particle b exerts on particle a, we can use the same equation and substitute the new distance:

[tex]\mathrm{F' = k \times q_1 \times q_2 / (18.2 mm)^2}[/tex]

Since the charges q1 and q2 are the same, we can simplify the equation as follows:

F' = F × (12.9 mm / 18.2 mm)²

F' = 2.38 N × (0.709 mm / 1.0 mm)²

F' = 0.86 N

The magnitude of the force that particle b exerts on particle a is 0.86 N. To find the vector force, we need to determine the direction of the force. Since particle b is moving directly away from particle a, the force it exerts on particle a is in the opposite direction, i.e., to the left. Therefore, the vector force is -0.86 N in the x-direction.

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a mass of 5 lb is acted upon by an upward force of 16 lb. the only additional force on the mass is the force of gravity. find the acceleration in ft/s2 . is this acceleration upward or downward?\

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A mass of 5 lb is acted upon by an upward force of 16 lb. the only additional force on the mass is the force of gravity. The acceleration is -29 ft/[tex]s^{2}[/tex], which is downward.

The net force on the 5 lb mass is equal to the difference between the upward force and the force of gravity. The force of gravity can be calculated as follows:

fgravity = m . g

where,

m = 5 lb (mass)

g = 32.2  ft/[tex]s^{2}[/tex] (acceleration due to gravity)

So,

fgravity = 5 lb * 32.2  ft/[tex]s^{2}[/tex] = 161 lb

The net force on the mass can then be calculated as follows:

fnet = fupward - fgravity = 16 lb - 161 lb = -145 lb

Since the net force is negative, it acts in the downward direction. To calculate the acceleration, we use Newton's second law of motion:

f = ma

where,

m = 5 lb (mass)

a = acceleration

Solving for acceleration, we get:

a = fnet / m = -145 lb / 5 lb = -29  ft/[tex]s^{2}[/tex]

So, the acceleration is -29  ft/[tex]s^{2}[/tex], which is downward.

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You have been hired by a moving company, and your first assignment is to move heavy bedroom furniture including dressers. The company handbook states that all drawers should be removed from the dresser prior to moving it down a flight of stairs and that all dressers should be lifted instead of being dragged across floors to avoid friction. Explain how the handbook is using Newton's first and second laws of motion. Your answer should be three to four sentences in length and use proper grammar and punctuation. PLEASE HELP!!

Answers

The company handbook is using Newton's first law and second laws of motion to ensure the safe and efficient movement of heavy bedroom furniture.

By removing the drawers from the dressers before moving them down the stairs, the company is reducing the mass of the object being moved, making it easier to handle in accordance with Newton's first law of motion, which states that an object at rest will remain at rest and an object in motion will remain in motion with a constant velocity, unless acted upon by an external force. By lifting the dressers instead of dragging them, the company is reducing friction, which can cause the dressers to slow down or stop, and making it easier to move the dressers in accordance with Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

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describe the circuitry of three strings of patio lights plugged into the same extension cord. one whole string does not light, but all the bulbs in the other two strings do.

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The connection of three strings of patio lights, One whole string does not light, but all bulbs in the other two strings do three strings are connected in series, while each string's bulbs are connected in parallel.

The voltage across each component in a parallel connection is equal to voltage throughout the network, despite each component being connected via a different path.

The three strings are connected in series, while each string's bulbs are connected in parallel. The remaining strings of bulbs will continue to glow even if one bulb in a string fails.

Therefore, three strings are connected in series while each string's bulbs are connected in parallel.

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Calculate the work done by a 50 N force pushing a pencil 0.5 m

Answers

The workdone in pushing the pencil through a distance of 0.5 m is 25 J.

What is work?

Work is the product of force and distance.

To calculate the work done in pushing the pencil, we use the formula below.

Formula:

W = Fd................................. Equation 1

Where:

W = Work done in pushing the pencilF = Force = 50 Nd = 0.5 m

From the question,

Given:

W = 50×0.5W = 25 J

Hence, the work done is 25 J

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a stone is thrown vertically upward with a speed of 27.0 m/s m / s . part a how fast is it moving when it is at a height of 13.0 m m ?

Answers

The speed of the stone when it reaches a height of 13.0 m is

GIven:

Stone is thrown vertically upward with initial speed of (V0) 27.0 m/s

To calculate the speed one it reaches a certain height, we can use the formula as follows:

  Vt² = V0² - 2*g*s

g = the acceleration due to gravity (9.8 m/s²)

In the case above, V0 = 27 m/s and the s is 13 m. Plug these numbers to the formula above:

  Vt² = V0² - 2*g*s

  Vt² = 27² - 2 * 9.8 * 13

  Vt² = 729 - 254.8

  Vt² = 474.2

Therefore,

  Vt = √474.2

  Vt = 21.776 m/s

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Can someone help with this

Answers

OE is the required direction. Option B

What is the resultant force?

Generally, The resultant force is the overall force acting on an object, taking into account the magnitude and direction of all individual forces acting on it. It can be calculated by adding or subtracting the individual forces vectorially, taking into account their direction and magnitude.

The direction of the resultant force is the same as the direction of the net force acting on the object, and its magnitude is equal to the vector sum of all the individual forces acting on the object.

Like charges repel each other( law of electrostatics ) since the central charge is negatively charged, other charges will be

attracted to it,.

Hence the direction of the resultant electric field will be towards

-Q (OE)

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which best describes the molecular motion of the water particles as the burner supplies heat?

Answers

The molecular motion of  the water particles as the burner supplies heat is convection current of heat.

What is convection?

Convection is a single- or multiphase fluid movement that develops on its own as a result of the interaction between a fluid's body forces—most frequently gravity and density—and material property heterogeneity.

It is safe to presume that convection will occur as a result of thermal expansion and buoyancy when the reason of the convection is unknown. Convection may also occur in mixes or soft materials where particles can move.

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What galaxy type is full of gas and dust?

Answers

Spiral Galaxies is the answer

Answer: I hope this helps it between Irregular galaxies or Sprial galaxies I think it’s Sprial

Explanation:

Irregular galaxies tend to contain lots of gas and dust. As a consequence, irregular galaxies contain copious star formation


Spiral galaxies have a lot of gas, dust and newly forming stars. Since they have a lot of hot, young stars, they are often among the brightest galaxies in the universe. About 20% of all galaxies are spirals. We live in a spiral galaxy called the Milky Way.

Spiral galaxies are made up of young stars, gas, and dust. You can see the dust in the dark spots of the spiral arms. The gas and dust are used to make new stars, and these baby stars glow very brightly. Astronomers use these facts to determine that spirals are typically young galaxies.

when a planet exhibits retrograde motion, which direction does it slip against the zodiac? group of answer choices towards the east. towards the north. towards the west. towards the south.

Answers

Retrograde motion refers to the apparent backward movement of a planet in the sky as viewed from Earth. The direction of this retrograde motion is towards the west.

During this time, a planet appears to move against the background of the stars, which form the zodiac. This is because of the relative motions of Earth and the planet in question. Earth is moving in its orbit around the Sun faster than the other planet, causing it to overtake the other planet and give the illusion of it moving backwards. The retrograde motion is an optical illusion, and the planet continues its normal motion in its orbit around the Sun.

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The direction of the electric field at point b is closest to which direction? A. Right B. Up C. Left D. Down

Answers

The electric field will be along the left direction.

What is electric field?

An electric field is a region around the charge where its force of attraction or repulsion can be measured.

Given is the equipotential surface as shown in the image attached.

We know that electric field is the negative gradient of electric potential.

We can write -

E = - dV/dx

- dV = E dx

dV = - E dx

V = - ∫E dx

So, the electric field will be along the left direction.

Therefore, the electric field will be along the left direction.

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what is the vertical component of the velocity just before the stone hits the ground, in meters per second?

Answers

The vertical component of velocity shortly before the stone reaches the ground equals the original vertical velocity ie, v m/s

The vertical component of an object's velocity right before impact can be computed using equations of motion. If we examine a gravity-affected item with a beginning velocity (v0) and no air resistance, its vertical velocity (v) may be given by the equation:

v = v0 - gt

where g is the gravitational acceleration (9.8 m/s2) and t is the time since the item was launched.

To calculate the vertical component of velocity immediately before the stone reaches the ground, we must first compute the time t required for the stone to reach the ground. The following equation may be used to compute this:

t = (v0 - v) / g

By reintroducing the value of t into the first equation, we obtain:

v = v0 - gt = v0 - g((v0 - v) / g) = v0 - (v0 - v) = v

It is crucial to note that this estimate assumes no air resistance and that the object is dropped from a height far lower than the radius of the Earth, allowing the curvature of the Earth to be ignored. In fact, air resistance may have a major impact on an object's velocity, particularly as it approaches the earth.

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