The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle

Answers

Answer 1

Answer:

Explanation:

period is 2pi / B which is 2pi/8 which is 1/4 pi

amplitude is a which is 10


Related Questions

If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density

Answers

If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".

One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.

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Stephen has to drive 8 miles south and 3 miles east to get to work.What is his distance and displacement?

Answers

Since the displacement is a vector quantity, the distance is 11 miles while displacement is 8.5 miles

What is Displacement ?

Displacement is a distance travelled in a specific direction. Distance is a scalar quantity while displacement is a vector quantity.

Given that Stephen has to drive 8 miles south and 3 miles east to get to work.

His distance will be 8 miles + 3 miles = 11 miles

While his displacement can be calculated by using Pythagoras theorem. That is,

Displacement D = √(8² + 3²)

D = √(64 + 9)

D = √73

D = 8.5 miles

Therefore, his distance is 11 miles and his displacement is 8.5 miles.

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Four particles with masses 4 kg, 4 kg, 4 kg, and 7 kg are connected by rigid rods of negligible mass as shown. Assume the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 9 rad/s. Find the rotational energy of the system about the x axis.

Answers

The rotational Kinetic energy of the system about X axis is 24624 J.

Let the distance of the mass 4kg, from O is r1,

r = √(4² + 4²)

r = √32m

The distances of masses to the rotation axis is same -

say,

r1 = r2 = r3 =r4 = √32

Hence,

I = ∑ mi r1²

I = r² ∑(m1 + m + m3 + m4)

= 32(19)

I = 608 Kg m²

We know that rotational energy of system is given as,

K = 1/2 Iw²

Given,

W = 9 rad/sec

∴ K = 1/2 × 608 × 9²

  K = 24624 J

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Why is copper wire a better conductor of electricity than carbon fiber? (1 point)
A) Carbon (C) does not have any valence electrons.
B) Copper (Cu) is a metal, and only metals can conduct electricity.
C) The electrons in copper (Cu) are loosely bound to the nucleus.
D) Copper (Cu) has no loose electrons.

Answers

The copper wire a better conductor of electricity than carbon fiber because copper (Cu) is a metal, and only metals can conduct electricity option - B is correct answer.

Why does copper behave better as an electrical conductor?

A metal has greater electrical conductivity the lower its resistivity level. And copper wire is an excellent electrical conductor because it has a low level of resistivity. Incredibly flexible is another quality of copper.

Carbon fiber still does not conduct electricity as well as metal, even after being treated with other materials. Though still about 100 times faster than carbon fiber treated with good electricity conductors, metals like silver, aluminum, and copper are particularly good at conducting electricity.

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Answer:

1. The electrons in copper (Cu) are loosely bound to the nucleus. (C.)

2. An electrical current that flows in one direction (D.)

3. aluminum (Al) (D.)

4. Opposite charges attract one another. (D.)

5. Atoms with a nearly empty valence shell make good conductors. (C.)

Explanation:

I did the Connections Academy test (Conductors and Insulators Quick Check)

A 5mL tank of Carbon dioxide i tored at a preure of 30mmHg. It i moved to an altitude with a preure of 28mmHg. What will the new volume of Carbon dioxide be?

Answers

The new volume of Carbon dioxide be 5.36 mL.

What happened to the amount of gas in the syringe as you raised the plunger?

Boyle's Law can also be used to explain how a syringe operates. A syringe's plunger being drawn out causes the volume inside the barrel to expand, which lowers the pressure inside the barrel.

Describe Boyle's Law.

According to Boyle's Law, P1V1=P2V2 while the temperature is constant. In accordance with Boyle's Law, pressure and volume are inversely linked. In other words, volume decreases as pressure rises (and vice versa).

Given:

Volume (V1) =5ml

Pressure (P1) = 30 mmHg

Pressure (P2) =28 mmHg

Volume (V2) = ?

From Boyle's Law,

[tex]P_1V_1=P_2V_2[/tex]

[tex]30*5=28*V_2[/tex]

[tex]V_2=\frac{30*5}{28}[/tex]

[tex]V_2= 5.36 ml[/tex]

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You can just say if its A B C or D.

Thank you!

Answers

A,B,C,D,D,A,C hope this helps

an object of mass m experiences a gravitational acceleration from a planet of mass M. If the objects mass is doiubled

Answers

The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.

The force of gravity between two objects is multiplied by two when their masses are each doubled, and so on. Since an object's kinetic energy is exactly proportional to its mass, it will double along with the object's mass. The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.

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The angular diameter of an object is inversely proportional to its distance from the observer.
True False

Answers

This statement is True, the angular diameter of an object is inversely proportional to its distance from the observer.

Angular diameter is a measure of the apparent size of an object in the sky as seen from a given location. It is the angular distance between two opposite points on the visible surface of the object, usually measured in degrees or arcminutes. Angular diameter can be used to describe the apparent size of both small and large objects, such as planets, stars, galaxies, and clusters.

For example, the angular diameter of the Sun as seen from Earth is approximately 0.5 degrees, while the angular diameter of the Moon is approximately 0.5 degrees. Angular diameter can also be used to measure the apparent size of large-scale structures in the Universe, such as the distance between two galaxies in a galaxy cluster. The angular diameter of a galaxy cluster is typically measured in arcminutes or arcseconds. Angular diameter is a useful measure of the size of an object since it is independent of the distance between the observer and the object.

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Imagine you are an astronomer who recently discovered a new planet orbiting a distant star. Which set of characteristics would you use to classify this planet as an inner or terrestrial planet

Answers

The characteristics which I would suggest are the planet should be dense, solid and located near star.

All the eight planets of the solar system move around the sun in fixed paths. These paths are elongated. They are called orbits. Mercury is nearest to the sun. It takes only about 88 days to complete one round along its orbit.

Venus is considered as ‘Earth’s-twin’ because its size and shape are very much similar to that of the earth.

Till recently (August 2006), Pluto was also considered a planet. However, in a meeting of the International Astronomical Union, a decision was taken that Pluto like other celestial objects (Ceres, 2003 UB313) discovered in recent past may be called ‘dwarf planets.

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A boy with a mask of 20 is running at 3 m/s what is his kinetic energy

Answers

Important Formulas:

[tex]KE=.5mv^2[/tex]

Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2

__________________________________________________________

Given:

[tex]m=20kg[/tex]

[tex]v=3m/s[/tex]

[tex]KE=?[/tex]

__________________________________________________________

Finding kinetic energy:

[tex]KE=.5mv^2[/tex]

[tex]KE=.5(20)(3)^2[/tex]

__________________________________________________________

[tex]\fbox{KE = 90 Joules}[/tex]

What is the speed of a truck that travels 10 km in 20 minutes?

Answers

Answer:

8.3 m/s

Explanation:

Here's the answer in m/s:

(10 km)(1000 m/km) = 10000 m

(20 min)(60 s/min) = 1200 s

speed = d/t = 10000m / 1200s = 8.3 m/s

A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?

Answers

A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.

What is a free-body diagram?

In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.

Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.

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Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G

Answers

The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.

What do you mean by force of gravity?

The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.

The force of gravity between two objects is:

F = G * m1 * m2 / r^2

Where F  = force of gravity,

G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),

mass m1 and mass m2 are the masses of the objects,

r = distance between their centers of mass.

Given:

the mass of the newborn baby = 2.50 kg,

the mass of the doctor = 80.0 kg,

the distance between them = 0.250 m,

F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2

F = 2.67 x 10^-8 N

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a tennis player hits a tennis ball with a force of 15N and moves it 25m . of the tennis players power output was 750W, find out how long they did work on the tennis ball for

Answers

When we do, we make sure to measure our mass in kilograms. We determine that F is equal to 124.26 newtons by entering these numbers into our calculator.

That is the average magnitude of the force applied to the tennis ball.

How is the force of a tennis serve calculated?

The equation that Newton was referring to is shown by a serve. You can calculate the total force that was applied by the tennis racket to the ball by multiplying the weight of the racket by the speed at which the player swings their racquet.

After serving, how much does a tennis ball slow down?

An average 120-mph serve slows to 82 mph before the bounce, 65 mph after the bounce, and 55 mph at the opponent's racket, according to tennis instructor and analyst John Yandell.

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Drag each label to the correct location.

Identify the boundary type that is being described.

Answers

Transform boundaries, continental convergent boundaries, and oceanic convergent boundaries are the boundaries that are recorded.

How do transform boundaries work?

A transform boundary is an area of a fault where two surfaces slide horizontally past one another.

What exactly is a convergent ocean boundary?

An oceanic convergent boundary is the collision of two oceanic lithosphere-based plates. Even if this boundary contained the same kind of lithosphere, one of the plates would subduct beneath the other.

Transform boundaries are where crust is neither created nor destroyed at this boundary.In the region where the plates come into contact, movement along this boundary causes crumpling, lifting, and folding of the earth's crust—the continental convergent boundary.At this boundary, also known as the oceanic convergent boundary, the subduction zone frequently forms an arc of volcanic islands.

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What is dynamic flexibility example?

Answers

Dynamic flexibility example is a swimmer may circle their arms before getting into the water.

What is dynamics flexibility?

A person's absolute range of motion that is possible with movement is referred to as dynamic flexibility. Alternatively put, the greatest range of motion is the farthest you can bend, turn, or reach utilizing velocity and momentum. Some people use the terms ballistic or functional flexibility to describe dynamic flexibility.Prior to a workout or any type of activity, dynamic stretching is a fantastic approach to improving flexibility and engaging key muscles. The benefits will help you perform at your best as an athlete, thus it should always be done before any activity.Dynamic stretching involves regulated movements that get your muscles, ligaments, and other soft tissues ready for action and safety.

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Three 3. 0g {\rm g} balls are tied to 80-cm {\rm cm}-long threads and hung from a single fixed point. Each of the balls is given the same charge q q. At equilibrium, the three balls form an equilateral triangle in a horizontal plane with 20 cm {\rm cm} sides.

What is q?

Answers

Wave amplitude at a specific distance is charged (r). It can be expressed as energy; however Coulomb's law says that it is frequently described as a force.

Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.

Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively. Subatomic particles or matter particles are examples of the different forms of charges: Positive charge characterizes protons. Negative charge characterizes electrons.

Tcosθ=mg \sTsinθ=Fe\stanθ=

mg \sFe

​∵ Fe= \sr \s2

Kq \s2

Fe= \s(2d) \s2

Kq \s2

Fe=4.l2 sin2 Kq2

"tan" equals "4l 2 sin 2 mg Kq 2"

equals (4l 2 sin 2 mg)4 0

​q \s2​

Q 2 equals (4mgl 2 sin 2 tan).

4πϵ \s0

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To protect yourself from being electrocuted by contact with overhead power lines, you should always assume overhead lines are energized and keep yourself and equipment and at least ________ away from power lines up to 50KV

Answers

Keep equipment and yourself at least 10 feet away from power lines carrying high voltage up to 50KV.

Which of the following components of PPE can guard against electrocution?

Safety glasses, face shields, hard hats, insulated boots, rubber gloves with leather protectors, insulating sleeves, and fire clothing are among the personal protective equipment (PPE) that must be worn when working near power lines depending on the job task. This lowers the risk of electrocution.

Which power line safety precautions are recommended?

Assume that overhead electricity wires are active and keep a minimum of 10 feet away from them. When operating close to power lines, de-energize and ground them. When working close to electricity lines, use fiberglass or wood ladders that are non-conductive.

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4. Driving home from school one day, you spot a ball rolling out in the street. You brake for 1.20 s, slowing your 950 kg car from 16 m/s to 9.5 m/s. a. What was the average force exerted on your car during braking

Answers

As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.

Describe acceleration:

An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.

v = v o + a t  ( the acceleration will be negative )

9.50 = 16.0 + a * 1.2

a * 1.2 = -16.0 + 9.50

a * 1.2 = - 6.5

a = - 6.5 : 1.2

a = - 5.4167 m/s²

F = m * a

950 kg * 5.4167 m/s²

F = 5,145.8 N ( the average force exerted on a car during braking )

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A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 79.0-kg water-skier has an initial speed of 5.6 m/s. Later, the speed increases to 10.8 m/s. Determine the work done by the net external force acting on the skier.

Answers

The work done by the net external force acting on the skier is 3368.56 J.

What exactly is a physics "work done"?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

What is a work unit and a SI unit of work?

The joule is the SI unit of labor (J). It is described as the work accomplished over a one-meter distance by a force of one newton.

It is given that,

Mass of the water skier, m = 79.0 kg

Initial speed of the water skier, u = 5.6  m/s

Final speed of the skier, v = 10.8 m/s

Now, we calculate work done by using work energy theorem,

W = ΔE

[tex]W=\frac{1}{2}m (v^2-u^2)[/tex]

[tex]W=\frac{1}{2} 79.0 kg (10.8^2-5.6^2)[/tex]

[tex]W=3368.56J[/tex]

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On a wheel and axle, if the large wheel has a radius of 20 cm and the small wheel has a radius of 4 cm, what is the ideal mechanical advantage

Answers

The ideal mechanical advantage is 5.

Here, we have value larger radius , R = 20 cm and smaller radius = 4 cm

So, as per the problem, mechanical advantage will be 20/4 = 5.

A wheel and axle must be permanently joined in order to be considered a simple machine, and the wheel must by definition have a bigger radius than the axle. A point on the wheel moves a distance of 2 R whereas a point on the axle moves a distance of 2 r when you turn the wheel through a full revolution, which likewise causes the axle to turn through a full revolution.

The force you apply F R times the distance the point moves equals the effort W required to move a point on the wheel through one full revolution. Work is energy, and since energy must be conserved, a point on the axle must be subjected to a larger force F r because it moves a shorter distance.

The mathematical relationship is:

W = Fr (subscript) ×2πr/θ =F r(subscript) ×2πR/θ

Where ​θ​ is the angle that the wheel is turned.

And therefore:

Fr(r in subscript) / FR(R in subscript) = R/r

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ulius competes in the hammer throw event. The hammer has a mass of 7.26 kg and is 1.215 m long.What is the centripetal force on the hammer when it has a tangential speed of 31.95 m/s

Answers

The 6,100 N is the centripetal force on the hammer when it has a tangential speed of 31.95 m/s.

What is centripetal force ?

Any force that induces a shift in velocity direction toward the center of a circular motion is referred to as a centripetal force. Centripetal force is caused by the part of the force that is perpendicular to the velocity.

Centripetal force is a force that operates on a body traveling in a circle and is pointed in the direction of the body's center of mass. It is computed using the formula:

F = mv^2/r

where m is the mass, v is the velocity and r is the radius.

F = 7.26(31.95)^2 / (1.215) = 6100 N

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When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. What is the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d?
plsss help

Answers

According to Newton's law of gravitation, the new gravitational force will be F/9

Newton's Law of Gravitation

It states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,

F = GMm/d²

Where

M = mass of the earthm = mass of the satelliteG = universal gravitational constant

The magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow

f = GMm/(3d)²

f = GMm/9d²

f = GMm/d² × 1/9

Since GMm/d² = F

f = F × 1/9

f = F/9

Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton

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What are some benefits of dynamic exercises prior to playing volleyball how it will prepare your body leading to the game?

Answers

The benefits of dynamic exercises before playing volleyball and how they will prepare your body for the match are:

Increased Muscle Strength and PowerImproved Mobility and FlexibilityImproved Agility and Reaction TimeImproved Balance and CoordinationImproved Cardiovascular Endurance

Explanation of each of the benefits of dynamic exercises before playing volleyball and its preparation

Increased Muscle Strength and Power: Dynamic exercises help to increase muscle strength and power, which is essential for performing explosive movements required in volleyball.Improved Mobility and Flexibility: Dynamic exercises help to improve mobility and flexibility, which can help to reduce the risk of injury.Improved Agility and Reaction Time: Dynamic exercises help to improve agility and reaction time, which can help you to react quickly and effectively to the game.Improved Balance and Coordination: Dynamic exercises also help to improve balance and coordination, which can help you to perform better and avoid unnecessary injuries.Improved Cardiovascular Endurance: Dynamic exercises help to increase your cardiovascular endurance, which can help you to last longer during the game and maintain high intensity throughout.

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What are the most common mutations in SCID?

Answers

A mutation in the interleukin 2 receptor gamma (IL2RG) gene, which makes the common gamma chain subunit, a part of multiple IL receptors, causes X-linked SCID. JAK3 is a crucial signaling molecule that is activated by IL2RG. SCID can also be brought on by a JAK3 chromosome 19 mutation.

Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients. According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized.

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The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball

Answers

Answer:

2 inches

Explanation:

Volume of a sphere = 4/3  pi r^3

   for the EIGHT balls   total volume =   8  *  4/3 pi (1^3) = 32/3 pi

This is the volume of the made-up ONE ball

    4/3 pi r^3  = 32/3 pi

       4/3 r^3 = 32/3

            r^3 = 32/3  * 3/4

             r^3 = 8

              r = 2 inches

A tsunami caused by an earthquake occurring in Alaska in 1946 consisted of several huge waves which were found to travel a distance of 3607 km. The first of the waves reached Hawaii 4.567 hours after the earthquake occurred. From this data, calculate the speed of the tsunami.

Answers

From the given data, the speed of the tsunami is 789.8 km/h.

What is the speed of the tsunami?

The speed of the tsunami is calculated from the relationship between distance travelled by the wave and the time of motion of the wave.

Mathematically, this formula is given as;

v = d / t

where;

d is the distance travelled by the wave of the earthquaket is the time of motion of the wave

From the given data, the speed of the tsunami is calculated as follows;

v = ( 3607 km ) / ( 4.567 hr )

v = 789.8 km/h

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I really don’t get it so if someone could help me that would be great

Answers

Answer:

Explanation:

First establish the POSITIVE direction.  We'll say to the RIGHT is positive, and UP is positive.  All you have to do is add forces in the positive direction and subtract forces in the negative direction.  If your answer is positive, the net force is to the right or up;  if your answer is negative, the net force is to the left or down.

Here are your answers:

25-15-15 = -5N left

84-60-10 = 14N up

75-60-2 = 13N right

25+25-25 -15 = 10N right

44+44-100= -12N down

67-76 = 9N right

What is moment arm distance?

Answers

The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.

Moment distance: what is it?

A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).

What exactly are moment and lever arms?

The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.

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What is the potential energy of a passenger jet weighing 7.0 x 10^5 N when it reaches a cruising altitude of 10.0 km?

Answers

Upon travelling at an altitude of 10.0 km, a passenger aircraft weighing 7.0 x [tex]10^{6}[/tex] N  potential is the energy.

What similarities and differences do kinetic and potential energy share?

Potential energy and kinetic energy are fundamentally different from one another because one is the energy of what can be and the other is the energy of what is. Or to put it another way, potential energy is immobile and ready to be unleashed;

When compared to potential energy, is kinetic energy greater?

Due to the object's motion, kinetic energy loses some energy in the form of light energy, heat energy, and friction; these things do not occur in the potential energy, which is the reason why kinetic energy is not more than the potential energy.

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Write an equation in slope-intercept form for each line at the right. Line one goes from (-6,7) to (1,-7) and line two goes from about (1.25,7) to (3.25,-7) an elargemnet or expansion occurs when the absolute value of the scale factor is less than one true or false The price of a computer is reduced by 17.5%The reduced is 264By how much is the price reduced Which statement about a turtle's energy source is true?ResponsesA. A turtle performs photosynthesis to gain its energy.B. Nutrients in the water are the ultimate source of energy for a turtleC. A turtle relies indirectly on the sun as an energy source. Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D Papyrus Inc. provided the following information for its manufacturing division: Revenues $650,000 Operating expenses $400,000 Service department charges $ 95,000 Invested assets $600,000 Assume that Papyrus Inc. has established 20% as the minimum acceptable return on divisional assets. Determine the residual income for the manufacturing division. Which statement about the authors intent is most strongly supported by the passage below?I had the idea that Id write a book that was a biography of both cells and the woman they came from someones daughter, wife, and mother. Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A window is to be built in the shape of a rectangle surmounted by an isoscelestriangle. The area of the window must be 6m2. Use Lagrange Multipliers to findthe width and height of the rectangle for which the perimeter of the window will beas small as possible. (Clarications: (1) A rectangle surmounted by a triangle hasthe shape of a stick drawing of a house as might be drawn by a child, a rectanglewith a triangle on top. (2) The window's perimeter is made up of three sides ofthe rectangle and the two equal length sides of the triangle. Draw a diagram! (3)This may require some industrial strength algebra!) Two-and-a-half-year-old Andrew has a friend at preschool. He hugs her each day before he goes home. Which characteristic of the emotional development of toddlers is this ? O AngerO EgotismO Love/affectionO Realization of being a separate person Sonja has always been intrigued with the beauty of the French language. She has the opportunity to study French as one of her electives. Which strategy will most likely help maintain Sonja's motivation as she learns French Marc favorite ride at Busch Gardens is the Flying Umbrella, which is lifted by a hydraulic jack. The operator activates the ride by applying a force of 72N to a 30cm2 cylindrical piston, which holds the 20,000N ride off the ground. What is the area of the piston that holds the ride? Joe painted 3/4 of a bedroom in 1/2 of a day. How many days will it take for Joe to paint one bedroom? What are the different 5 types of communication? In the adjoining figure, the area of the rectangular surfaces of the prism is 720 sq. Cm, XX' 20 cm and XY : XZ: YZ = 5:3 : 4, find the length of XY Company U has no debt outstanding currently and the cost of equity is 12%. Its EBIT is expected to be $ 201896 every year forever. The tax rate is 35%. Calculate the value of the firm. Company U has no debt outstanding currently and the cost of equity is 12%. Explain how Patrick Henry alerts his listeners to the urgency of his message. What actions being taken by the British in 1775 requires an immediate response from the colonists, according to Henry? Support your answer with textual evidence. (01.03 MC)The Kelly school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table below, where Min represents the fewest days attended and Max represents the most days attended for a single student:SchoolMinMaxRangeMeanMedianIQRHigh School M1281805214116055.541.5High School N1311804915915448.536.5High School P1401804015316532.531.5Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points)Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically. (5 points) (10 points) Both the daughters paintings in ""To a daughter with artistic talent"" and the fathers stories in the excerpt from Big fish Which line L has a slope of zero?