I'm having trouble with moments can someone help

1.68 is the average magnitude of the poynting vector 3.50 mi from a radio transmitter broadcasting isotropically (equally in all directions) with an average power of 260 kw

Given In questionquestion :

Power of Radio Transmission(P) = 260W

Radius of Transmission Ares(r) = 3.5 metre

Expression of  average value of the magnitude of the Poynting vector(S) is ;

S = P/area of radio transmission([tex]4\pi r^{2}[/tex])

S = 260 / [4×[tex]\frac{22}{7}[/tex] ×[tex]3.5^{2}[/tex]]

S = 1.68

So,  The of average value of the magnitude of the Poynting vector is  1.68

What is  Poynting vector?

In physics, the Poynting vector represents the directional energy flux or power flow of an electromagnetic field. The SI unit of the Poynting vector is the watt per square metre; kg/s³ in base SI units. It is named after its discoverer John Henry Poynting who first derived it in 1884.

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Newton’s first law of motion states that "an object at rest will stay at rest, and an object in motion will stay in motion, unless acted on by an unbalanced force.

It is possible to consider Newton's first law to be the law of inertia. It helped us realise that when a body is at rest, it will remain at rest until an external force is applied to it, or if a body is travelling at a constant speed, it will stay moving until an external force is applied.

Only when net force is applied will a body move from its resting position. An illustration of this law can be seen when a passenger in a car fastens their seat belt. Both stationary and moving objects are covered by this law.

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this proves that the moment of inertia of a point mass M rotating around an axis at a distance R is the same as the moment of inertia for a thin ring of mass M and radius R measured around its central axis.

All these are possible because a thin ring can be thought of as a collection of many point masses collectively making that ring.

The moment of inertia for a point mass m and rotating around a radius of r is inertia (I).

The moment of inertia of a point mass is the product of its mass and the square of its distance from the axis of rotation. Let the mass be M and the distance be R. So, the moment of inertia is

I= M[tex]R^{2}[/tex]

Now let's consider a thin ring of mass M and radius R. The ring is made up of infinite numbers of point masses. All these point masses are at an equal distance from the center which is equal to the radius of the ring. Let's divide the ring into N numbers of point masses each having an equal mass. So, the mass of each point mass is

M= M/N

All these point masses are at an equal distance from the center of the ring. And that distance is the radius R. So, the moment of inertia of each point mass is

I’ = m[tex]R^{2}[/tex]

Therefore, the total moment of inertia of the ring is

I = I’ +_ I’ + I’ +........up to N terms

=> I = NI’

=> I=Nm[tex]R^{2}[/tex]

=> I= N (M/N)[tex]R^{2}[/tex]

=> I= M[tex]R^{2}[/tex]

Similar to how mass determines the force needed to achieve the desired acceleration, a rigid body's moment of inertia, also known as its mass moment of inertia, angular mass, second moment of mass, or, more precisely, rotational inertia, is a property that determines the torque needed to achieve a desired angular acceleration about a rotational axis.

Depending on the axis selected and the distribution of the body's mass, a change in the body's rate of rotation will need a greater torque for larger moments.

The moment of inertia for a point mass is just the mass times the square of the distance perpendicular to the axis of rotation. This is an extensive (additive) property.

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Acc to the responses given in the query:

Nonmetal forms a gas commonly found in our atmosphere  is chlorine (Cl, element 17)

Many of the nonmetals are gases when they are in their elemental state. Example Hydrogen, Flourine, Oxygen, and Nitrogen. (H2, N2, O2, F,and Cl2.)

A non-metallic chemical element that may create anions, acid oxides, acids, and stable hydrogen compounds. Examples include boron, carbon, and nitrogen. When compared to metals, nonmetals' electrons exhibit different behaviour. Elements with 4, 5, or 7 electrons in their outermost shell are considered non-metals. Non-metals include things like carbon, oxygen, chlorine, etc.

Metals are a type of element that typically has 1, 2, or 3 valence electrons. Metals are opaque, glossy elements that are effective heat and electrical conductors. Examples of some metals are sodium, potassium, copper, and others. The majority of metals are ductile and malleable, and they are often.

Hence, acc. to question, Nonmetal forms a gas commonly found in our atmosphere  is chlorine (Cl, element 17) .

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A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to √t.

Work is a change in kinetic energy, it should be noted. Power will therefore be determined as follows:

Power = Work / Time = force × velocity

Work = the change in kinetic energy = 1/2 mv2

If work is proportional to time:

W = t

1/2 mv2 = t

v2 = t

v (speed) = √t

Speed is the rate and direction of an object's movement, as well as the rate and duration at which an object is moving along a path. In all other positions, speed is a scalar value while pace is a vector.

Power is inversely related to t. Because the force is constant, the velocity will be a function of t. As a result, the particle's speed is proportional to √t.

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The velocity of a 1,100 kg car driving on the same curve while raining is 65.05 km/h.

The velocity depends on the kinetic energy of the car. Kinetic energy is the energy from a moving object. It can be determined as

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed.

From the question above, we know that

m₁ = 950 kg

v₁ = 70 km/h

m₂ = 1100 kg

In the same kinetic energy, the second car should move with velocity

KE₁ = KE2

1/2 . m₁ . v₁² = 1/2 . m₂ . v₂²

950 . 70² = 1100 . v₂²

v₂² = 4231.82

v₂ = 65.05 km/h

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The amount of energy required to get a spacecraft from the earth to the moon will be greater than the energy required to get the same spacecraft from the moon to the earth.

The reason for this is firstly it's harder to leave the Earth than the moon. There's six times the gravity and an atmosphere to push through. Even if you're just going into orbit, you need at least a medium-sized rocket.

Moreover, when we launch a rocket from the earth, it has to push all the equipment and fuel needed to get to the Moon and then back. When launching from the moon- at least with the Apollo mission model- you only need enough fuel to get two astronauts and their equipment back into lunar orbit.

Also, because Earth has an atmosphere- this lets you slow down at Earth without using any fuel.

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The ratio of the resistance was found to be 0.85013

Define resistance?

Resistance is a measure of the resistance to current flow in an electrical circuit.

The Greek letter omega () represents resistance in ohms. Ohms are named after Georg Simon Ohm (1784-1854), a German scientist who researched the link between voltage, current, and resistance. Ohm's Law is attributed to him.

the formula for calculating the resistance was R= ρ 1/s

ρal=2.65(10)^-8 mΩ

ρcu= 1.68(10)^-8mΩ

l al=15.0 m

l cu= 23.0 m

s= π(d/2)^2

d= diameter

dal=2.2mm=0.0022m

dcu= 2.0mm=0.0020m

for aluminum

Sal= π(0.0022/2)^2

=3.14(0.0022/2)^2

=3.14(0.0011)^2

=3.14(0.00000121)

=0.0000037994

for copper

scu= π(0.0020/2)^2

=3.14(0.000001)

=0.00000314

resistance of aluminum

Ral=2.65(10)^-8mΩ x 15/0.0000037994

=2.65(10)^-8 x 15/3.7994

=0.001046

resistance of copper

Rcu= 1.68(10)^-8mΩ x 23/0.00000314

=1.68(10)^-8x 7.324

=0.0012304

The ratio of the resistance = 0.001046/0.0012304

=0.85013

therefore the final ratio of the wires was = 0.85013

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The units of impulse are  C) kg . m/s and D) N .s. Hence, option C) and D) both are correct.

Impulse determines velocity of an object after a force acts on it and this can be seen as a consequence of impulse being a change in momentum.  SI unit of impulse is Newton-seconds and dimensionally equivalent unit of momentum is kilogram meter per second (kg⋅ m/s).

In classical mechanics, impulse is the integral of force over the time interval for which it acts. As we know that force is a vector quantity, so is impulse. Impulse applied to an object produces equivalent vector change in its linear momentum and also in the resultant direction.  

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The measurement must be in kelvins. If you are given a temperature in Celsius, don't forget to add 273.15 to the answer.

The macroscopic characteristics of ideal gases are related by the optimal gas law (PV = nRT). A gas is considered to be perfect if its atoms (a) do not interact with one another and (b) occupy no area (have no volume). Because the volume of the molecules and the forces between them are so little, neither one has any impact on how the gas behaves.

Because it links the quantity of a gas (in terms of moles) towards its pressure, volume, and temperature, the ideal law of gases is the last and most usable statement of the gas laws. In chemical and industrial calculations involving gases, the ideal gas law is a vital tool.

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Braking up to -8 meters per second squared is more risky than the other one.

According to the definition of inertia, matter has the ability to remain at rest or to move uniformly in a single direction unless applied with an external force.

The ability of moving object to remain in moving  uniformly in a single direction  is called inertia of moving.

In this case, the car moving with certain velocity has inertia of moving. By certain applying brakes  of more deceleration is more risky as it works opposite to the  inertia of moving. Hence, braking up to -8 meters per second squared is more risky than breaking up to -3 meters per second squared.

As 8 meters per second squared acceleration or deceleration is larger compare to other; there may have no  situation where it can be the opposite.

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A consensus is an agreement that something is correct ( A )

Option B is incorrect because a type of science that uses observation is called as Quantitative Observation. In this a scientist records the observations of an experiment and collects data. Option C is incorrect because a theory that uses math to make predictions is called as Predictive modeling.

Option D is incorrect because a theory that will never be changed is a fact. A fact is a theory that is known or proved to be true. Option A is correct because an agreement that something is correct is a consensus. The basic meaning of a consensus is a general agreement.

Therefore, the agreement that something is correct is a consensus

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The ratio of the total number of predictions made to the number of classifications a model correctly predicts is known as model accuracy.

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The force formula is defined by Newton's second law of motion: The force exerted by an object is equal to its mass x acceleration: F = m ⨉ a.

Using this formula, must use SI units. Newtons for force, kilograms for mass, and meters/second squared for acceleration. A force is a push or pull on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, the two objects no longer receive forces. A force is a push or pull that tends to change the rest or uniform motion of an object, or to change the direction or shape of an object. This will accelerate the object. The SI unit is Newton.

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The distance the land near hole is -0.6

As we know that the golfer hits the ball with a speed of 40 m/s at an angle of 50 degrees

so here we will have the range of the ball on the ground given as

R = v² sin2∅/g

so we will have

[tex]R =\frac{40^{2}sin(2*50) }{9.81}[/tex]

R = 160.6

So it will land at a distance of 160.6 m

so the distance from the hole is given as:

d = 160 -160.6

d = -0.6

To calculate the horizontal distance as the projectile travels Multiply the vertical height h by 2 and divide by the acceleration due to gravity g. Take the square root of the result from step 1 and multiply it by the initial projection velocity u to get the horizontal distance.

The maximum horizontal distance a baseball travels is the horizontal distance a baseball travels when returning to its initial height. An example of horizontal distance is the distance from an observer to a building, and an example of vertical distance is the height of a building. Players are given a reasonable amount of time to reach the hole and must wait an additional 10 seconds for the ball to fall into the hole. If the ball falls into the hole during this waiting time.

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The work energy of speed is 1304.2.

What is work energy?

work energy is the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.

Solution -

As per the given-

mass of runner m = 74kg

Initial velocity of runner u=4.8 m/s

Final velocity of runner v =0

Coefficient of friction ¥=0.7

Let's d be the distance moved by runner till the stop.

a- mechanical energy lost due to friction

As friction does negetive work causing the runner to stop.

As we know,

Mechanical energy lost= kinetic energy of runner

Mechanical energy lost =

1/2 mv^2 = 1/2 ×74×4.8^2=852.2

Distance move by runner-

Work done by friction = mechanical energy lost

-¥×mg×d =852.2 j

-0.7×74×9.8×d = -491.2

Solving the equation we get

1304.2.

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The thickness of the panel should be 1.82 cm.

                                                        [tex]\begin{aligned}\\\\\frac{99.2\%}{85.5\%}&=\frac{L}{1.57\,cm}\\\\L&=1.82\,cm\end{aligned}[/tex]

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Making a conical motion with limb as drawing a circle is called the humerus.

Humerus is the largest bone in the arm and the only bone in the upper arm. Movement of the humerus is essential for all varied activities. Humerus is the only bone in the upper arm. This bone has many uses because it is directly related to the human hand, which plays a very important role for humans.

From the statement above, we get various important information. Mandible is the lower jawbone which is the largest and strongest bone in the facial area. This bone is useful for helping humans in chewing food, speaking, and other activities that require the use of the lower jaw.

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The acceleration due to gravity at the point is 6.58 m/s

What is gravity?
In mechanics, gravity—also known as gravitation—is the constant force of attraction that pulls all matter together. It has no impact on determining the internal characteristics of common matter because it is by far the weakest known force in nature. In contrast, it governs the structures as well as evolution of stars, galaxies, and the entire cosmos through its extensive and universal action, which affects the trajectories of objects in the solar system and throughout the universe. All objects on Earth have a weight, or a gravitational pull downward, proportional to their mass, which is a result of the mass of the planet. The acceleration that gravity gives to objects falling freely serves as a gauge of its strength. The acceleration of gravity at Earth's surface is approximately 9.8 metres (32 feet) per second per second.

As Given, The length of pendulum is 1.5 m

Time taken for one oscillation is 2.446 s

Formula used to find acceleration due to gravity is g= (2π/T)²L

Now substituting the values,

g= (2×3.14/2.446)²×1

g= 6.58 m/s

From the above observation, the acceleration due to gravity at its location is 6.58 m/s.

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A group of proteins that act as electron carriers make up the electron transport chain.

All of the electrons that enter the transport chain come from NADH and FADH2 molecules created during the glycolysis, pyruvate oxidation, and citric acid cycle, which are early phases of cellular respiration.

Electrons are transferred from one molecule to another in the electron transport chain, and the energy released during these electron transfers is utilised to create an electrochemical gradient. The energy held in the gradient is utilized in chemiosmosis to produce ATP.

NAD +start superscript, plus, end superscript (nicotinamide adenine dinucleotide, as illustrated below) and FAD are two forms of electron carriers that are particularly significant in cellular respiration (flavin adenine dinucleotide).

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To create a fluid weight equivalent to the weight of the object, less of a more dense fluid must be moved. The amount of displaced water won't be as great because the salt water is denser.

Freshwater is less dense than saltwater. More dense substance will be located below less dense material. When salt is dissolved in water, as it is in ocean water, the added mass of the dissolved salt increases the density of the water relative to that of the water without salt. Consequently, when the density of the fluid increases, upward Due to the increase in buoyant force, objects will float more easily in salt water. Seawater has a higher density and buoyancy than freshwater. Water that is pure is less dense.

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The frequency in hertz of this radiation if the wavelength of the green light from a traffic signal is centered at 522 nm is 0.575 * [tex]10^{15}[/tex] m

f = c / λ

f = Frequency

c = Speed of light

λ = Wavelength

c = 3 * [tex]10^{8}[/tex] m / s

λ = 522 nm = 522 * [tex]10^{-9}[/tex] m

f = 3 * [tex]10^{8}[/tex] / 522 * [tex]10^{-9}[/tex]

f = 0.575 * [tex]10^{15}[/tex] m

f = 0.575 Pm

Frequency is the repetition of an event per unit amount of time. The wavelength is the distance between identical points in adjacent cycles of a wave.

Therefore, the frequency in hertz of this radiation is 0.575 Pm

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35 joule is the change in internal energy when a gas does 189 j of work while expanding, and at the same time it absorbs 154 j of heat.

w= -189

q=154

E=w+q

E= -189+154

E=-35 joule

Internal energy is a property or state function in thermodynamics that describes a substance's energy when capillary effects and the effects of external magnetic, electric, and other fields are not present. As with any other state function, the energy's value depends on the substance's state rather than the kind of methods employed to get there. The first law of thermodynamics states that when a system changes state as a result of a process in which only work is involved, the work is equal to the change in internal energy.

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The velocity to time graph of the robots can be used to calculate the displacement and distance traveled by the robot.

6) The magnitude of the displacement of the robot for the entire time interval shown is (ii) greater in Case B

7) The rank of the distance traveled during the intervals is as follows;

[tex]\begin{vmatrix}D| &A | &C | &B | &E| &F \\\end{vmatrix}[/tex]

A velocity time graph describes the changes in the motion of a straight moving object

6) The displacement is given by the area under the velocity time graph.

The area is obtained by drawing a vertical line at the tip of the graph of the velocity to time of each of the robots

The area of a triangle = 0.5 × Base length × Height

The time interval in Case A is the same as the time interval in Case B which is taken as t

The time at which the velocity of the robot is 0 in figure (i) is approximately 0.5·t

The initial velocity in Case A = -v

The final velocity = v

The area under the curve in Case A, which gives the displacement is therefore;

Displacement in Case (A) = 0.5 × 0.5·t × (-v) + 0.5 × 0.5·t × (v) = 0

The magnitude of the initial velocity of the robot in Case B is half the magnitude of the final velocity of the robot

Similarly, the time at which the velocity of the robot in Case B is 0 is a third of the total time of motion

The displacement of the robot in Case B is therefore;

Displacement = 0.5 × (1/3)·t × (0.5·v) + 0.5 × (2/3)·t × (-v) = -0.25·v·t

The magnitude of the displacement in Case B = |-0.25·v·t| = 0.25·v·t > 0

The magnitude of the displacement in Case B is > The magnitude of the displacement in Case A

The correct option is therefore (ii) greater in Case B

7) The distance traveled is given by the area bounded by the curve as follows;

A. Shape of region bounded by the graph = Rectangle

Initial velocity = Constant = -1 unit

Time of travel = 5 unit

Area = -1 × 5 = -5 units

B. Shape of graph = Triangle

Initial velocity = 1.5 units

The final velocity = 0

Change in velocity = 1.5 - 0 = 1.5

The time = 5 unit

Area = 0.5 × 5 × 1.5 = 3.75

The distance = 3.75 units

C. Starting velocity = -1.7 units

The final velocity = 0

Change in velocity = -1.7

Time = 5 units

Distance ≈ 0.5 × 5 × -1.7 = -4.25

D. Shape of graph = Rectangle

Initial velocity ≈ 1.7 units (Constant)

Time = 5 units

Distance = 5 × 1.7 = 8.5

E. Shape of graph = Two congruent triangles

Initial velocity = -1 unit

Time it takes to increase to a velocity of 0 = 2.5·t

Final velocity = 1 unit

Time it takes to increase to from a velocity of 0 to a velocity of 1 = 2.5 units

Distance = Sum of the area of the two triangles

Displacement = 0.5 × 2.5 × -1 + 0.5 × 2.5 × 1 = 0

Distance = 0.5 × 2.5 × 1 + 0.5 × 2.5 × 1 = 2.5

F. Shape of area bounded by the graph = Positive triangle

Height of the triangle = 1 unit

Base length of the triangle = 5 units

Area of the triangle = Distance = 0.5 × 5 × 1 = 2.5

The rank of the distance travelled during the intervals is therefore;

D(8.5), A(-5), C(-4.25), B(3.75), E(2.5), F(2.5)

The distance is a measure of the motion of the robot such that the forward and backward motion are added together

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When it is given that the distance traveled by the first object before it stops is S, then the distance traveled by the second object is 2S.

The ratio of the friction force to the normal force experienced by a body moving on a dry and non-smooth surface is said as the kinetic friction coefficient, μk.

Under the high velocity conditions, kinetic friction coefficient increases with the velocity. And as velocity increases so the distance also increases.

The kinetic friction formula is given as normal × friction coefficient. So, if force is increased then the normal force is not changed, due to which the friction remains constant.

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That person has to exert a significant amount of the force on the wall to make flip happen.

When a person flips, during this process first thing he exerts a significant amount of the force on the wall, so this force will give push in opposite direction according to the third law of Newton's law.

During he applies force, he bents and that's where centripetal force will help to keep his body on the air and meanwhile he is bending more to balance himself when he touches the ground. Balancing of force is the key in this process.

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The mystery planet was located farthest to the west on December 23, 2016, at an azimuth value of 63°.

The mystery planet was discovered in 2011. It is currently located in the constellation Pegasus and has an apparent magnitude of 21.9, which means that it is extremely dim and difficult to see with an amateur telescope or binoculars.

The planet's orbit is elliptical, with a semimajor axis of 0.8 AU (Earth-Sun separation) and eccentricity 0.77. The orbital period is about 5 years and 11 months, making this one of the longest-period planets ever discovered in our solar system.

It takes about 3 years for the mystery planet to complete one orbit around its star; this orbital period is slightly shorter than Jupiter's orbital period (11 years), so it will complete one orbit in less time than it takes Jupiter to complete one orbit around our sun.

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a) On colliding, the truck applies a force on the stationary car, and the stationary car applies an equal opposite force on the trunk.

b) The front of the truck is designed to crumple in order to lower the force impact on stationary car accelerate both vehicles passengers - which protects the well-being of the passengers.

Firstly, we see that the collision between truck and car is a head of collision.

We have required to find the force which car apply on truck in opposite direction.

Force is a defined as the product of mass of object by acceleration of an object.

According to Newton's third law of motion, whenever one object applies a force on another object , the second object also applies an equal and opposite on the first one.

This is law tells that every action has equal and opposite reaction.

So, we conclude that if a truck applies a force on a stationary car during collision then stationary car also applies equal magnitude of force on truck but in opposite direction.

Now, a crumble is applied in front of truck before collision to stationary car.

force of impact is defined as the force generated when the objects collide with each other.

when a crumble designed in front of truck , it increase the collision time between truck and stationary car. As the time increase it implies acceleration of truck become smaller.

Mathematically , a = v/t

So, the force on the trunk becomes smaller.

because of Newton's second law of motion,

F = ma

therefore, if accleration is smaller then force applied by trunk is also smaller/ lower.

this results lower the force of impact and it saves the passengers from injury by protecting them from impact.

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#Complete Question

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision.

On colliding, the truck applies a force on the stationary car, and the stationary car applies - A smaller, A greater, An equal- . and opposite force on the truck. The front of the truck is designed to crumple in order to - Lower the force of impact, Apply maximum force on the stationary car, Accelerate both vehicles passengers - , which protects the well-being of the passengers

A Helmholtz coil is a parallel pair of the same circular coils spaced one radius aside and wound so that the modern-day flows thru both coils in the same course.

A magnetic field is a vector discipline that describes the magnetic have and impact on shifting electric costs, electric currents, and magnetic substances. A moving fee in a magnetic area studies a force perpendicular to its own pace and to the magnetic discipline.

The magnetic area is an area around a magnetic fabric or a transferring electric-powered fee within which the force of magnetism acts. A magnetic field is a force field that is created by means of transferring electric-powered charges and magnetic dipoles and exerts a force on different nearby moving charges and magnetic dipoles.

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Using g = 9.8 m/s2, the statement that best describes the roller coaster car when it is at the top of the loop-de-loop is that The car has both potential and kinetic energy, and it is moving at 24.6 m/s. The correct answer is B) The car has both potential and kinetic energy, and it is moving at 24.6 m/s.

Potential energy is the energy that is stored in any object or system as a result of its position or component arrangement. The environment outside of the object or system, such as air or height, has no impact on it. In contrast, kinetic energy refers to the energy of moving particles inside a system or an item.

The energy an individual or an object has as a result of motion in this case, the motion of the falling apple is known as kinetic energy. Potential energy, which exists in a bike that is parked on top of a hill, is converted to kinetic energy when you start riding it downhill. These two energies are both expressed as joules.

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Answer: B (The car has both potential and kinetic energy, and it is moving at 24.6 m/s.)

Explanation: