find a magnitude and direction (the counterclockwise angle with the +x-axis) of a vector that is equal to a+b.
a: magnitude 27m direction 51°
b: magnitude 17m direction -6.5°
c: magnitude 19 m direction 0.0°
d: magnitude 27 m direction 39°

Find A Magnitude And Direction (the Counterclockwise Angle With The +x-axis) Of A Vector That Is Equal

Answers

Answer 1

Magnitude and direction of a vector that is equal to a+b is 19m and 0.0° resp. Hence the correct option is C. magnitude 19 m direction 0.0°

What is Vector?`

Vector is a mathematical quantity which has both magnitude and direction.

Vectors are denoted with usual notation with an arrow upon it. for example, Force, Displacement, Velocity and Acceleration etc. are the vectors which has both magnitude as well as direction.

When two same vectors are acting at a point in two dimension. The magnitude of  resultant of this two vectors are given by,

R² = R₁² + R₁² +2R₁R₂cosθ......1

Where θ is the angle between them.

The direction of the resultant vector of two same vectors is given by the equation,

tanθ = (R₁ sinθ) ÷ (R₁ + R₂cosθ)......2.

In this picture, we have to find magnitude and direction of vector A+B, we have nothing to do with vector C.

vector A is at 37° from vertical, means 90-37 = 53° from positive x direction.

A = 12 m and 53°

B = 15m and 40°

angle between these two vectors are θ= 53+40 = 93°

magnitude of resultant of this two vectors are A+B which is given by the equation.

putting these values in equ. 1 we get,

R² = 12² + 15² +2(12×15)cos93°

R² = 350.15

R = 18.71 ≅ 19m ( magnitude)

From equation 2

tanα = (12 sin93°) ÷ (12+ 15cos93°)

tanα  = 0.8337

α  = 39.82° this angle is from vector B

so the angle of resultant from positive x axis is 40-39.82 = 0.17 ≅ 0.0°

Hence C is correct option is c: magnitude 19 m direction 0.0°

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Related Questions

How can a hockey puck explain the transfer of kinetic energy? **Select all that apply.**

A. Kinetic energy can move from one item to another.

B. Kinetic energy transfers through air when materials are close.

C.Kinetic energy is lost when it transfers between materials.

D. Energy transfers from materials through touch.

Answers

A hockey puck can transfer kinetic energy by

A. Kinetic energy can move from one item to another.D. Energy transfers from materials through touch.

How a hockey puck can transfer kinetic energy

When a hockey player hits the puck with their stick, they transfer kinetic energy to the puck.

The puck then moves across the ice, and if it collides with another object (such as the boards or another player's stick), some of the kinetic energy from the puck is transferred to that object through touch.

This demonstrates that kinetic energy can move from one item to another and that energy transfers from materials through touch.

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An astronomer tells you that he has discovered a new planet that he calls Planet X. All he knows about Planet X so far is that it has a very dense atmosphere with a temperature approximately 5 times warmer than that of Earth. What hypothesis can you reasonably make regarding the atmosphere of Planet X? Planet X cannot contain water in any form. The atmosphere of Planet X must not contain any oxygen, so people couldn't live there. The nitrogen cycle does not operate on Planet X in the same way it does on Earth. The atmosphere of Planet X has a higher concentration of greenhouse gases than Earth's does

Answers

Based on the information provided by the astronomer, a reasonable hypothesis regarding the atmosphere of Planet X is that it has a higher concentration of greenhouse gases than Earth's atmosphere.

option D.

What is the astronomer's observation?

The astronomer's observation that Planet X has a very dense atmosphere and a temperature approximately 5 times warmer than Earth suggests that there may be a significant greenhouse effect taking place.

Greenhouse gases, such as carbon dioxide, water vapor, and methane, trap heat in a planet's atmosphere, which can lead to warming of the planet's surface.

The fact that the astronomer stated that Planet X cannot contain water in any form and must not contain any oxygen suggests that the atmosphere of Planet X is likely very different from Earth's atmosphere.

The nitrogen cycle, which is an essential part of Earth's ecosystem, may not operate on Planet X in the same way, as stated by the astronomer.

However, these statements do not provide direct evidence regarding the concentration of greenhouse gases in Planet X's atmosphere, so the hypothesis regarding the concentration of greenhouse gases is the most reasonable conclusion based on the available information.

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a 15000kg locomotive is moving at 12 m/s what is it’s kinetic energy

Answers

Answer:

1080000 J

Explanation:

Givens:

m = 15000 kg

v = 12 m/s

[tex]KE=\frac{1}{2} mv^2\\KE=\frac{1}{2} (15000)(12)^2\\KE=1080000 J[/tex]

How does the creation of a new mountain range in an ecosystem affect an animal population that becomes divided into two groups by the mountains?
A.
The two new animal populations adapt gradually and separately to their new environments on either side of the mountain.

B.
The two new animal populations are not greatly affected by the separation, and they adapt in the same manner.

C.
The new animal populations gradually migrate up either side of the mountain until they are together again.

D.
The new animal population on one side of the mountain is driven to extinction.

Answers

A. The two new animal populations adapt gradually and separately to their new environments on either side of the mountain. This options explains how does the creation of a new mountain range in an ecosystem affect an animal population.

Explain the role of mountain range in an ecosystem?

When a new mountain range is created, it can act as a barrier that separates animal populations on either side. Over time, the two populations will adapt to their new environments, which may be different due to differences in climate, vegetation, or other factors.

As a result, the two populations may evolve independently of each other, leading to differences in behavior, appearance, and genetic makeup. This process is known as allopatric speciation. It is important to note that while the two populations may become distinct, they may still be able to interbreed if they come into contact again in the future.

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Two identical beakers are both half filled with a liquid beaker a contains water and beaker b contains a liquid that is denser than water

Answers

The pressure at the bottom of both beakers is the same. The correct answer is D.

The pressure at the bottom of both beakers is the same. The pressure at the bottom of a fluid is determined by the weight of the fluid above it, which is the same for both beakers since they are equally filled with the same amount of liquid. The air pressure on the beakers does not affect the pressure inside the liquid.

The weight of both liquids cannot be the same, as the density of the liquid in beaker B is greater than that of water, so it will have a greater weight. The area at the bottom of the beakers may be the same or different, but it is not relevant to the pressure at the bottom. Therefore, the correct statement is D, that the pressure at the bottom of both beakers is the same.

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--The complete question is, Two identical beakers are both equally filled with a liquid. Beaker A contains water. Beaker B contains a liquid that is denser than water. Which statement is true?
A. The air pressure on the beaker containing dense liquid is greater.
B. The weight of both liquids is the same.
C. The area at the bottom of both beakers is the same.
D. The pressure at the bottom of both beakers is the same.--

what is the speed in mph if an object is travelling at 750 m/s?

Answers

Answer: The speed of the object in mph is 1680.89 mph

Answer:

1680.89 mph is the speed of an object

The force of gravity between two masses was 14 N when they were 10. m apart. The distance between them was changed and the force became 56 N. How far apart were they then?

Answers

They were 40 m. apart

I need help this is going to be graded tomorrow please help

Answers

The average age of jumpers is approximately 28.

What is meant by average value ?

It is the ratio of sum of all the values to the number of values.

Here,

(1) Difference in age between the oldest and youngest jumpers

                        = 56 - 11 = 45

(2) Difference between greatest and least number of jumps

                       = 60 - 20 = 40

(3) For Bob, Boe and Brad, A(age of jumper) > N( no. of jumps)

(4) No, the eldest two jumpers together did more jumps than the youngest two  jumpers.

(5) 45 - 31 = 16

(6) 31 - 25 = 6

(7) x - y = 19

    From the figure, values of x and y are 50 and 31. So x and y are Brett   and Bev.

(8) 3y = x

    From the figure, the values of x and y are 20 and 60. So x and y are Brad and Benjy.

(9) b = 2a + 6

    From the figure, the values of a and b are 25 and 56. So and b are Brad and Bob.

(10) Average approximately = 28

Hence,

The average age of jumpers is approximately 28.

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Can i get help please

Answers

I believe its A. Tuberculosis

giving brainly+ points please huuuury
How does a machine, such as a ramp, help make work easier?


A machine can help decrease the input force and the output force.

A machine can help increase the input force and the output force.

A machine can help increase the input force and decrease the output force.

A machine can help decrease the input force and increase the output force.

Answers

Answer:

A machine can help decrease the input force and increase the output force.

This is achieved by using a simple machine, such as a ramp, to increase the distance over which the input force is applied. By increasing the distance over which the input force is applied, the amount of force required to move an object is reduced. This is known as mechanical advantage, and it allows a smaller input force to produce a larger output force, making the work easier to do.

For example, if a person needs to lift a heavy object straight up, they would need to apply a large amount of force to lift it. However, if they use a ramp to move the object up a slope, the distance over which the force is applied is increased, making it easier to move the object with less force.

Question 10 of 25
You replace a 200 W lamp with a more efficient 55 W LED lamp. If you leave
your lights on 24 hours a day, how much energy are you saving each day by
replacing this bulb?
A. 4,752,000 J
OB. 17,280,000 J
C. 12,528,000 J
O D. 21,225,000 J
SUBMIT

Answers

The energy used by the 200 W lamp for 24 hours is 17280000 J whereas, the energy used by the 55 W lamp for one day is 4752000. Therefore, by replacing the200 W lamp by 55 W, we save 12,528,000 J of energy.

What is power ?

Power is the unit of energy or work done by an object. It measures how much energy used by the object per second to do a work. Hence, power is the work done or energy by time in seconds.

Given that power of one lamp = 200 W

time = 24 hour= 86400 s.

then energy = power × time

  200 W × 86400 s = 17280000 J

Similarly the energy consumed by the 55 W lamp for 24 hours is:

86400 s × 55 W = 4752000J

Then, if replace the 200 W lamp by the 55 W LED lamp, we can save an energy of 17280000 J - 4752000 J = 12,528,000 J.

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You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius
1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.
How fast can you safely spin the ball without the rope breaking?

Answers

Answer:

Approximately [tex]7.2\; {\rm m\cdot s^{-1}}[/tex] (rounded up), assuming that this circle is vertical and [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Let [tex]v[/tex] denote the tangential speed of the ball, and let [tex]r[/tex] denote the radius of the circle. Since the ball is in a circular motion, the acceleration on this ball would be equal to the centripetal acceleration [tex]a = (v^{2} / r)[/tex]. The net force on this ball would be [tex]F_{\text{net}} = m\, a = (m\, v^{2} / r)[/tex].

The net force on this ball is also the vector sum of the tension [tex]T[/tex] in the rope and the weight of the ball [tex]m\, g[/tex]:

[tex]F_{\text{net}} = (\text{weight}) + T[/tex].

[tex]T = F_{\text{net}} - (\text{weight})[/tex].

Note that:

[tex]\| T \| = \|F_{\text{net}} - (\text{weight})\| \le \|F_{\text{net}} \| + \| (\text{weight})\|[/tex].

In other words, the magnitude of tension [tex]T[/tex] is at most equal to [tex]\|F_{\text{net}} \| + \| (\text{weight})\| = (m\, v^{2} / r) + (m\, g)[/tex], which happens when weight and net force are in opposite directions.

When the speed of the ball is maximized, the magnitude of tension [tex]T[/tex] would be at the largest possible value of [tex]130\; {\rm N}[/tex]. Rearrange the equation and solve for speed [tex]v[/tex]:

[tex]\displaystyle \frac{m\, v^{2}}{r} + m\, g = \|T\|[/tex].

[tex]\begin{aligned}v^{2} = \frac{r}{m}\, (\|T \| - m\, g) = \frac{r\, \|T\|}{m} - r\, g\end{aligned}[/tex].

[tex]\begin{aligned}v &= \sqrt{\frac{r\, \|T\|}{m} - r\, g} \\ &= \sqrt{\frac{(1.2)\, (130)}{2.5} - (1.2)\, (9.81)}\; {\rm m\cdot s^{-1}} \\ &\approx 7.2\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

Explain the relationship between the load on the spring and the length of the spring when the load is increased from 0 to 10N

(I really need an answer plsss)

Answers

Since Hooke's law implies linear, i anticipate that the length of a spring will double if the weight hanging on this is doubled. The graph below depicts a spring's ideal Hooke's law graph.

Simple definition of Hooke's law.

At the range of the material's elastic limit, according to Hooke's law, the strain is inversely related to the applied stress. The molecules and atoms in elastic materials stretch when they are stretched, distort when under stress, and then return to their original shape once the tension is released.

What other names are given to Hooke's law?

In the year 1660, an English british scientist Robert Hooke discovered Hooke's law, commonly known as that of the law of elasticity. According to Hooke's law,  the magnitude of the deformation is precisely proportional to a deforming load or force.

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A wooden 40.0 N block is placed on a table. A force of 18.0 N is required to keep the block moving at a constant velocity what is the calculated force on the block

Answers

The coefficient of sliding friction is 0.45.

What is meant by friction ?

Friction is defined as a resistive force acting between two surfaces that are in contact and are in relative motion.

Here,

Weight of the force, mg = 40

Kinetic friction, F' = 18 N

F' = μ N

So, coefficient of sliding friction, μ = F'/N

  μ  = 18/40

  μ = 0.45

Hence,

The coefficient of sliding friction is 0.45.

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Your question was incomplete, but most probably your question was,

A wooden 40.0 N block is placed on a table. A force of 18.0 N is required to keep the block moving at a constant velocity what is the coefficient of sliding friction between the table and the block.

PLEEEEEEASE answer as fast as possible, I will give Brainliest to fastest answer.
A sound wave is traveling through a medium. Which statement best describes a situation that will cause the wave speed to increase?

A. Increase the pressure of the substance and the particles will be farther apart.
B. Increase the volume of the medium and there will be more particles to transfer the wave.
C. Increase the size of the particles and they will have more momentum to carry the wave.
D. Increase the density of the substance and there will be more particles to transfer the wave.

Answers

Answer: D. Increase the density of the substance and there will be more particles to transfer the wave.

Answer:

D. INCREASE THE DENSITY OF THE SUBSTANCE AND THERE WILL BE MORE PARTICLES TO TRANSFER THE WAVE .

Explanation:

BECAUSE WAVES ARE TRANSFERED

1. How does collecting natural gas affect the environment?
2. How does collecting hydropower affect the environment?

Answers

Answer:

1.Collecting natural gas can have negative impacts on the environment in various ways. One of the major concerns is the process of hydraulic fracturing or fracking, which can contaminate groundwater and soil with chemicals and heavy metals used in the process. Methane emissions from natural gas operations can contribute to air pollution and climate change. Additionally, the construction and operation of infrastructure such as pipelines and wells can disrupt ecosystems, fragment habitats, and harm wildlife.

2.Collecting hydropower can also have both positive and negative impacts on the environment. On the positive side, hydropower generation does not emit greenhouse gases and can help reduce the use of fossil fuels. However, the construction of dams can significantly alter natural waterways, disrupt river ecosystems, and cause the displacement of people and wildlife. Dams can also interfere with fish migration patterns and reduce the availability of freshwater downstream, affecting agriculture and drinking water supplies. Additionally, the management of water levels and flows can lead to changes in water temperature, dissolved oxygen levels, and sediment transport, which can further impact aquatic habitats and species.

Explanation:

hope it help pa brainliest

If air resistance is negligible, a falling object can be considered

Answers

Answer:

Explanation:

freely falling object

please help physics statics.. don't understand how to solve

Answers

When Weight of 7294.3 N can be supported by boom if force 7800 is applied on the cable and there is no resultant rotation at point C.

What is Torque ?

Torque is defined as force times perpendicular distance from axis of rotation to the point at which force is applied. Torque is denoted by τ and its SI unit is Nm. i.e Torque is given by, τ = F×d sinθ. Torque is vector quantity.

Torque is analogous to force in rotational motion. like there angular velocity ω is analogous  linear velocity v. means Torque is a force in rotational motion.

Looking at the answered figure I have resolved forces, there will be no resultant rotation when opposite torques due to opposite horizontal forces gets balanced.

We get,

τ₁ = τ₂

F×d Cos40⁰ = W×d Sin55°

F Cos40° = W Sin55°

W = F×(Cos40°÷Sin55°)

W = F×0.93516

W = 7800 ×0.93516

W = 7294.3 N

Hence Weight that can be supported is 7294.3 N.

b) When we assume that there is no cable, Then

Torque τ = W×d Sin35°

τ = 7294.3×10 Sin35°

τ = 41838.3 Nm

bloom will rotate with 41838.3 Nm torque.

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A roller coaster car that has a mass of 200 kg is travelling at a rate of 10 m/s at a
height of 5 m above Earth's surface. How much total energy does the car contain at
this point?

Answers

The roller coaster car contains a total of 19810 joules of energy at this point.

How to calculate the total energy of the roller coaster car.

First, we need to consider its kinetic energy and potential energy.

The potential energy of the car at a height of 5 m above Earth's surface is given by:

PE = m * g * h

Where

m is the mass of the carg is the acceleration due to gravity (9.81 m/s²)h is the height

Substituting the given values, we get:

PE = (200 kg) * (9.81 m/s²) * (5 m)

PE = 9810 J

The kinetic energy of the car is given by:

KE = (1/2) * m * v²

Where v is the velocity of the car.

Substituting the given values, we get:

KE = (1/2) * (200 kg) * (10 m/s)²

KE = 10000 J

Therefore, the total energy of the roller coaster car at this point is:

Total Energy = KE + PE

Total Energy = 10000 J + 9810 J

Total Energy = 19810 J

Therefore, the roller coaster car contains a total of 19810 joules of energy at this point.

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Un objeto pequeño que tiene una carga dd -5x10^-9C experimenta una fuerza hacia debajo de 20x10^-9 N cuando se coloca en determinado punto un campo electrico ¿cual es el campo de dicho punto?

Answers

El signo negativo indica que el campo eléctrico apunta en la dirección opuesta a la fuerza experimentada por la carga. Por lo tanto, el campo eléctrico en ese punto es de -4 N/C.

F = qE

En este caso, la carga es de -5x10^-9 C y la fuerza es de 20x10^-9 N. Por lo tanto, podemos despejar el valor del campo eléctrico:

E = F/q = (20x10^-9 N) / (-5x10^-9 C) = -4 N/C

A charge is a fundamental property of matter that describes the amount of electric energy that a particle possesses. It is a scalar quantity, meaning it has only magnitude and no direction. The charge can be either positive or negative and is measured in Coulombs (C).

Charged particles can interact with each other through electromagnetic force, which is one of the four fundamental forces of nature. Like charges repel each other while opposite charges attract. Electric fields are generated by charged particles, and the force they exert on other charged particles is proportional to the magnitude of their charges.

A charge is conserved in isolated systems, meaning that the total amount of charge in a closed system cannot be created or destroyed, but can only be transferred from one object to another.

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What is the electric potential at the point indicated with the dot in the figure?

Express your answer to two significant figures and include the appropriate units

Answers

The electric potential at a point in space depends on the distance between that point and any charged objects in the vicinity.

If we assume that the point indicated by the dot in the figure is located at a distance r from a charged object with charge q, then the electric potential at that point can be calculated using the formula: V = k * q / r, where k is Coulomb's constant (8.99 x 10^9 N m²/C²). The units of electric potential are volts (V). To express the answer to two significant figures, we would need to know the values of q, r, and any other relevant parameters in the problem.

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a sound wave strikes a wall normally what is the angle of reflection of sound wave
a 90°
b 60°
c 45°
d 0°​

Answers

Answer:

C

Explanation:

Determine the new differential reading along the inclined leg of the mercury manometer of fig. P2. 62, if the pressure in pipe a is decreased 10 kpa and the pressure in pipe b remains unchanged. The fluid in a has a specific gravity of 0. 9 and the fluid in b is water

Answers

The pressure difference between two points in a manometer is given by the difference in the heights of the fluid columns in the two legs of the manometer.

If the pressure in pipe A is decreased by 10 kPa, the height of the fluid column in that leg of the manometer will decrease. The amount of decrease will depend on the specific gravity of the fluid in that leg, as well as the height of the fluid column before the pressure change. Assuming the specific gravity of the fluid in pipe A is 0.9, the decrease in pressure will cause the fluid column to decrease by (10 kPa)/(0.9 * 9.81 m/s^2), or approximately 1.15 meters. The change in the height of the fluid column in the other leg of the manometer will depend on the height of that column and the specific gravity of the fluid in that leg. To determine the new differential reading along the inclined leg of the manometer, we need to calculate the difference in the heights of the two fluid columns after the pressure change. This will be equal to the difference in the heights before the pressure change, minus the 1.15 meter decrease in the height of the fluid column in pipe A.

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If vecA= 3 hat i + 4 hat j and vecB= -3 hat i + 7 hat j. Then find vecA * vecB

Answers

The cross product of the vector A= 3i + 4j and B= -3i + 7j is found to be -33k.

The vector that are provided to us are vector A and vector B, the value of the vectors are A = 3i + 4j and B = -3i +7j

Now, we have to find the cross products that is given by, R = A X B,

So, we write that,

R = A X B

R = (3i + 4j) X (-3i +7j)

R = -21k - 12k

R = -33k

We have to note here that R is also a vector because the cross product of the two vector is also a vector always but when we do the dot products the resultant is not a vector.

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Two bar magnets are held in place in the configuration shown. If the magnets are pulled apart, which statement correctly describes the changes that will take place in the energy of the system?

Answers

Potential energy decreases because movement is in the opposite direction of the magnetic field. This is because when magnets are pulled apart, the magnetic field between them is weakened, thus decreasing the potential energy of the system.

What is magnetic field?

A magnetic field is a force field that is created by an electric charge or current. It is a vector field, meaning it has both magnitude and direction. Magnetic fields are generated by electric currents such as those used in electromagnets, and by magnetic materials such as iron. The Earth also generates a magnetic field. Magnetic fields have many uses, including navigation, electric motors, and magnetic storage devices. They are also useful in medical diagnostics and treatments. In addition, they can be used to study the composition of stars and galaxies.

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Swimming in a pool requires that you push back on the water in order to go
forward.
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Law of Universal Gravitation
Law of Conservation of Momentum

Answers

Swimming in a pool requires that you push back on the water in order to go forward is Newton's 3rd Law.

What is Newton's 3rd Law?

Newton's 3rd Law, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. This means that if an object A exerts a force on object B, then object B will exert an equal and opposite force on object A.

For example, if you push against a wall, the wall will push back on you with the same force in the opposite direction. This is because every force is a result of an interaction between two objects, and each object exerts an equal and opposite force on the other.

This law is important in understanding how objects interact with each other and is fundamental to many areas of physics, including mechanics, fluid dynamics, and electromagnetism.

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A particle executes simple harmonic motion with an amplitude of 3. 08 cm. At what positive displacement from the midpoint of its motion does its speed equal one half of its maximum speed? Answer in units of cm

Answers

The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is 1.85 cm.

v = Aω√(1 - (x/A)^2)

v_max = Aω

v = 1/2 v_max = 1/2 Aω

Substituting the given values, we get:

1/2 Aω = 3.08 cm * ω * √(1 - (x/A)^2)

Simplifying and squaring both sides, we get:

(1/4) A^2 ω^2 = 9.4864 cm^2 * (1 - (x/A)^2)

Solving for x/A, we get:

x/A = √(1 - (1/4)(ω^2/A^2) * 9.4864)

x/A = √(1 - (π^2/400))

x/A = 0.6

The displacement from the midpoint of the motion at which the speed is equal to half of the maximum speed is:

x = 0.6 * 3.08 cm = 1.85 cm

Harmonic motion is a type of periodic motion in which an object oscillates back and forth around an equilibrium position with a constant frequency and amplitude. It is characterized by a sinusoidal pattern, where the displacement of the object from its equilibrium position is directly proportional to the sine or cosine of the time elapsed since the motion began.

In harmonic motion, the restoring force acting on the object is proportional to its displacement from the equilibrium position, and the object's motion is governed by Hooke's Law. Examples of harmonic motion include the motion of a mass-spring system, the motion of a simple pendulum, and the vibration of a guitar string.

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A sign with a mass of 1000.0 kg is suspended from a wall with a cable that is attached to the wall at a point 3.0 m above a horizontal beam that causes the sign to be a distance of 4.0 m from the wall. See the diagram below.

Answers

Two or more physical objects which are in contact with each other exert forces on each other. Here the tension of the cable is  16349.96 N.

What is tension?

The force along the length of a medium especially a force carried by a flexible medium, such as a rope or cable is defined as the tension. The tension on an object is equal to the product of the mass of the object and the gravitational force added and acceleration.

T = mg + ma

Here W = mg

W = 1000.0 × 9.81 = 9810

using geometry,

tan α = 3/4

α = 36.87°

Tsinα = W

T sin36.87° = 9810

T = 16349.96 N

Thus the tension of the cable is 16349.96 N.

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Newton's ______ law of motion is also known as action/reaction.

Answers

the second law of newton

A skydiver fell directly toward Earth at a constant velocity for 15.0 seconds. He fell 807 meters in that time. What was his velocity?

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The velocity of the skydiver that fell directly toward Earth at a constant velocity for 15.0 seconds is 127.38m/s.

How to calculate velocity?

The velocity of a skydiver that fell directly towards Earth can be calculated using one of the following equations of motion:

s = ut - ½at²

Where;

s = distanceu = velocityt = timea = acceleration

According to this question, a skydiver fell directly toward Earth at a constant velocity for 15.0 seconds.

807 = 15u - ½ × 9.81 × 15²

807 + 1103.625 = 15u

1910.625 = 15u

u = 127.38m/s

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