A ball is held at rest at the top of a hill. The ball is then released and starts rolling down the hill. At the bottom, it reaches level ground and keeps rolling along the ground. Consider the level ground at the bottom of the hill as zero height.

Using Newton's method , the approximations value of x₁ and X₂ are 7.1 and 7.0 respectively.

Newton's method: Newton’s method is a procedure for approximating the solutions of an equation f(x) =0. These are also called the zeros of f. Newton’s method is an iterative procedure that finds an approximation to a rootof f(x) =0 and then uses the approximation to help find a better approximation. This gives a list of numbers x1, x2, x3, . . . which we call successive approximations. We begin by explaining the main step of method with shows us how to find xn+1 from xn.

Given an approximation xn, compute the next approximation by xₙ+1 = xₙ− f(xₙ)/f'(xₙ).•

We have given that,

f(x) = x²−2x−35, and x₀= 6

approximation relation for succive approximation

is xₙ + 1 = xₙ − (xₙ2 - 2xₙ- 35) / 2xₙ− 2

Now , we compute the values of x1 and X2 using approximation relation

put n= 0 , in above formula we get

X₁ = x₀- ( x₀²- 2x₀ - 35)/2x₀ -2

using initial condition, x₁ = 6 - ( 36-12-35)/10 = 7.1

again put, n= 1

x₂ = x₁ - ( x₁ ² - 2x₁ -35)/2x₁ -2 = 7.1 - ((7.1)² - 14.2 -35)/12.2 = 7.00

Hence, the value of first succive approximation (x₁) is 7.1 and second approximation (x₂) is 7.00

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Complete Question:

Write the formula for Newton's method and use the given initial approximation to compute the approximations x1 and x2.

f(x)=x2−2x−35, x0 =6

Write the formula for Newton's method for the given function. Choose the correct answer below.

xn+1=xn−(xn2−2xn−35 )/ 2xn−2

Use the given initial approximation to compute the approximations x1 and x2.

(a) If am going to measure the current and that desired current passes through I will an existing resistor to find the current using ohm's Law.

V= IR

Using the ohms Law another variable we can find is let Lenovo. To find Current any variable with two

The voltage & resistance.

So, I = V R

R is to be known.

If V= 1.5V, Then T= 1-5 100 = 0.015 Ampere

R = 100-2

But this is theoretical as the wire the load and even the supply have internal resistance. we Considering Also there are superconductors with zero resistance due to their properties in negative temperatures.

b) measure the current and the desired current doe as to not pass through the existing resistor,

Theoretically, if there is no resistance then it is a short Circu and the current will be infinite But Practically wires have resistance and simply I will find the Kurrent value by breaking the with and connecting the circuit.

We measure the current using a so-called ammeter. Some types of ammeters have a pointer on the dial but most have a digital display. Ammeters must be connected in series to measure the current flowing through the components in the circuit. There are two ways to measure current. One is based on electromagnetism and is associated with the early moving coil meter. The other is based on Ohm's Law, the main theory of electricity.

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The position of the image of the person is 0.5 cm.

An optical system's focal length is the inverse of its optical power; it indicates how strongly the system converges or diverges light. A positive focal length system converges light, while a negative focal length system diverges light.

The rays are bent more sharply in a system with a shorter focal length, bringing them closer to focus or diverging them faster. For the special case of a thin lens in air, a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus.

Given,

Focal length=75mm

Height of the person=2.7m

f=((1/f)-(1/p))⁻¹

f=fp/p-f

Thus, the height of the image is

[tex]h_{i}[/tex]=m[tex]h_{p}[/tex]

[tex]h_{i}[/tex]=(i/p)[tex]h_{p}[/tex]

[tex]h_{i}[/tex]=f[tex]h_{p}[/tex]/p-f

[tex]h_{i}[/tex]=(75mm)(1.80m)/(27m-0.075m)

[tex]h_{i}[/tex]=5mm

[tex]h_{i}[/tex]=0.5 cm

The position of the image of the person is 0.5 cm

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A control volume's time rate of entropy change is equal to the rate of entropy generated inside the control volume plus the rate of entropy entering or leaving the control volume through mass transfer.

A state of disorder, randomness, or uncertainty is most frequently associated with the scientific concept of entropy, which is also a quantifiable physical property. In other words, entropy is the increase in disorganization within a system. It is defined as the measurement of degree of randomness. A physical principle based on observed interactions between heat and energy, the second law of thermodynamics is applicable to all situations. A straightforward explanation of the law is that, without an energy source to change the direction of heat flow, heat always travels from hotter to cooler objects. The overall entropy of a system never decreases; according to the second law of thermodynamics, it always either rises or stays the same.

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perfect elastic collusion is a collision that conserves kinetic energy.

in physics, an elastic collision is an encounter between two bodies where the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, no kinetic energy is converted into other forms such as heat, noise, or potential energy

The main reason why there is no loss of energy is because of the lack of collusion. it can be either one-dimensional or two dimensional

The linear momentum of the system as a whole does not change, but the individual momentums of the components involved change, being equal and opposite in magnitude, canceling each other out, and conserving the initial energy

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The best description of inelastic and elastic collisions is perfectly inelastic.

Collisions occur when one object strikes аnother. There аre two types of collisions:

Your question is incomplete, but most probably your question was

An inelastic collision is a collision in which kinetic energy is not conserved. In a partially inelastic collision, kinetic energy is lost, but the objects colliding do not stick together. From this information, you can infer what completely inelastic and elastic collisions are.

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This information could be used in the following ways: the braking distance of a skidding car will depend on its initial speed and the coefficient of kinetic friction.

Thus, if the coefficient of friction is known the initial speed can be determined from the length of the skid marks.

What do you mean by Initial speed?

Initial speed can be described as  how fast an object travels when gravity first applies force on the object. It can be represented in the form of (u) and is generally measured in metres per second (m/s).

It can be represented in three ways.

Through these formulas we can calculate the initial speed of any object. It helps in understanding various velocities, time principles.

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True.

According to Merriam-Webster:

"principles and procedures for the systematic pursuit of knowledge involving the recognition and formulation of a problem, the collection of data through observation and experiment, and the formulation and testing of hypotheses"

Answer:

True

Explanation:

The SCIENTIFIC METHOD is the process of establishing facts through experiments and tests. The process includes getting an observation, making hypothesis, making a prediction, implementing the experiment and submitting the analysis report.

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Following cooling, a white dwarf becomes too cold and dark to emit visible light.

Like our Sun, medium-mass stars generate helium by fusing hydrogen within their cores. Our Sun is now performing this. An outward pressure results from the heat the Sun produces during the nuclear fusion of hydrogen into helium. The Sun will run out of hydrogen in its core in about 5 billion years.

The Sun begins to collapse when it runs out of hydrogen to fuse, tipping the scales in favor of gravity. However, compacting a star makes it heat up once more, allowing it to fuse what little hydrogen is left in a shell surrounding its core.

We can learn about the age of the universe from white dwarfs. Our galaxy and the age of the universe would be lowered if we could calculate how long it takes for a white dwarf to cool into a black dwarf.

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There is a change of  -20 J in the gas's internal energy.

Adiabatic expansion is the method of volume expansion in which no heat is exchanged inside the system from the surrounding, or the heat exchange is zero. During extension, the exchange of energy takes put as work.Since we given with  4-kg mass of gas expands adiabatically and does 20 j of work.

According to the first law of thermodynamics

ΔQ = ΔU + W

where Q is the heat supply or received, U is the internal energy and W is the work done

since in case  adiabatic  process , ΔQ = 0

so,  ΔU = -ΔW

wince a work done is done by the system, so the work done =  +20 J

ΔU =  -(+20) = -20 J

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The maximum height H to which she rises above the end of the track that is slanted upward by 48° above the horizontal at its end is 1.11 m

KE = 1 / 2 m v²

PE = m g h

According to law of conservation of energy,

KE ( Initial )  + PE ( Initial ) = KE ( Final ) + PE ( Final )

h ( Initial ) = 0

v ( Initial ) = 6.9 m / s

g = 9.8 m / s²

h = 0.4 m

1 / 2 m vi² + m g hi = 1 / 2 m v² + m g h

1 / 2 m vi² = 1 / 2 m v² + m g h

vi² = v² + 2 g h

6.9² = v² + ( 2 * 9.8 * 0.4 )

v² = 47.61 - 7.84

v² = 39.77 m / s

H = vi² sin²θ / 2 g

θ = 48°

H = 39.77 * sin²48° / ( 2 * 9.8 )

H = 21.78 / 19.6

H = 1.11 m

Therefore, the maximum height H to which she rises above the end of the track is 1.11 m

The given question is incomplete. The complete question is;

The drawing shows a skateboarder moving at 6.9 m/s along a horizontal section of a track that is slanted upward by 48° above the horizontal at its end, which is 0.40 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

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Celsius does not measure at an absolute temperature , hence  increasing temperature from 3°C to 6°C does not double temperature. In Charles law.

Heat or bloodless is measured in terms of temperature. It demonstrates how warmth electricity certainly flows from a warmer body to a cooler body and may be expressed in phrases of any range of arbitrary scales (one at a decrease temperature).

A match is burning at a far greater temperature than an iceberg, yet an iceberg has a considerably better total warmth electricity than a in shape. Temperature isn't always similar to the electricity of a thermodynamic system.

Temperature, along side strain, density, and different like qualities, is known as an excessive belongings as opposed to vast functions, together with mass or extent—one this is independent of the quantity of stuff being addressed.

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Patients ought to meet physical and psychological standards to make sure that they may be candidates for coronary heart transplantation.

The Recipient affected person has to be referred to the transplant center with an irreversible and in any other case fatal disease ensuing in organ failure, whilst still being otherwise wholesome enough to live to tell the tale and gain from an organ transplant and to comply with a lifestyles-long medication routine.

Physical criteria indications for transplant in continual heart failure include sufferers who've disabling signs regardless of most fulfilling medical control or refractory arrhythmias no matter scientific and electrophysiological methods.

The doctor will make an incision on your chest. Your health care professional will separate your chest bone and open your rib cage in order that he or she will perform for your coronary heart. Your medical professional then removes the diseased heart and sews the donor heart into place. she or he then attaches the important blood vessels to the donor's coronary heart.

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The force experienced by the truck driver is lesser than the force experienced by a car driver in a perfectly inelastic collision.

According to law of conservation of momentum,

m1 u1 + m2 u2 = m1 v1 + m2 v2

After perfect inelastic collision,

v1 = v2

m1 u1 + m2 u2 = ( m1 + m2 ) v

u1 = 8 m / s

u2 = - 8 m / s

m1 = 3800 kg

m2 = 830 kg

Substituting the known values,

( 3800 * 8 ) - ( 830 * 8 ) = ( 3800 + 830 ) v

30400 - 6640 = 4630 v

v = 6.43 m / s

Since final velocity is positive, the vehicles will  move the direction of truck after collision.

For the truck,

a = ( 6.43 - 8 ) / 0.15

a = - 10.48 m / s²

F = 3800 * - 10.48

F = - 39.83 KN

For the car,

a = ( 6.43 - ( - 8 ) ) / 0.15

a = 96.2 m / s²

F = 830 * 96.2

F = 79.85 KN

I Ft I < I Fc I

Therefore, the force experienced by the truck driver is lesser than the force experienced by a car driver.

The given question is incomplete. The complete question is:

Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that experienced by the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false. Newton's third law tells us that both objects experience forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? Suppose that each vehicle is initially moving at 6.40 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 81.0 kg. Including the drivers, the total vehicle masses are 830 kg for the car and 3800 kg for the truck. The collision time is 0.150 s.

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Answer:

Below

Explanation:

"echo location"

The sound travels the distance, d , to the food and back for a total distance of  2d

2d =   1530 m/s * .13 s

d = ~ 99 m away

1276.9 m/s² is the angular acceleration of  0.900 m, he is able to rotate the ball only 5.99 rev/s.

v=33.9m/s

r=0.9 m

a=v²/r

a=1149.21/0.9

a=1276.9 m/s²

The rate at which the angular velocity in a circular motion varies over time is known as the angular acceleration. Rotational acceleration is another name for it. Given that it has both a magnitude and a direction, it is a vector quantity. Angular acceleration is represented by the letter alpha.

Variable velocity is what causes the acceleration. The phrase "angular acceleration" is used to describe variations in rotational speed in spinning objects. According to the connection, the angular displacement of a spinning object depends on time t. Every time a body rotates, it experiences angular acceleration. A quantitative vector can be used to express the change in angular velocity per unit of time.

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Answer:

A

Explanation:

since it did not absorb the heat then it is an insulator

To know the exact mass of a planet, we also need to be able to determine the angle at which the planet's orbit is tilted toward us.

To determine the mass of a planet, astronomers usually measure the small motions of the star caused by the gravitational pull of the orbiting planet. For a planet, figuring out the mass of the Earth is an extraordinary challenge with current technology.

Therefore, to measure the mass of a planet, measure the period and orbital radius of all satellites orbiting the planet, plot graph against R³/T² for all satellites, and calculate the mass of the planet. This is one way to do that.

According to Kepler's laws: If the orbital size (a) is expressed in astronomical units (1 AU is the average distance between the Earth and the Sun) and the period (P) is measured in years, Kepler's third law states that his P² = a³ increase. where P is the Earth year, a is the AU, and M is the mass of the central body in units of the mass of the Sun.

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24 m/s will be the velocity at this point .

What is velocity?

Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.

Velocity is a physical vector quantity. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1).  For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.

when v= u + at and v2-u2=2as , where u=0 ,t=4 , S = 48 m , manipulate the data and fine the answer.

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The largest number is 1111. Option A.

The initial state in a state or activity diagram. Represents the state of an object before the events contained in the diagram act on it. Transitions from initial states are usually unlabeled and represent transitions to enclosing states. A final state marks the end of the execution flow of a state machine or region.

Can have multiple incoming transitions but no outgoing transitions. Each region can have at most one final state. For orthogonal regions, execution flow stops when all region end conditions are reached. In quantum state terms, colliding particles form an initial state. In a collision, particles can be annihilated and/or exchanged resulting in a different set of particles in the final state.

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The radius in terms of x is 2/(π+4)

Area, a quantity that describes the extent of an area on a plane or curved surface. The area of ​​a planar region refers to the area of ​​a shape or planar layer, while surface area refers to the area of ​​an open surface or boundary of a three-dimensional object.

Given that,

y forms a circle of radius r

y = 2πr

r = y/2π

(2-y) forms Square Side x

(2-y) = 4x

x = (2-y)/4

Now Sum of Areas = Area of Square + Area of Circle

Sum = πr² + x²

Substitute the  values of r and x in above equation:

A(y) = y²/4π + (y-2)²/ 16

To maximize Area A(y)

A'(y) = 0

2y/4π + 2(y-2)/16 = 0

y/2π + (y-2)/8 =0

y = 2π/(π+4)

For maximum sum of areas,

x = 2/π + 4

Hence, The formula for the radius r in terms of x and for the maximum areas is x=2/(π+4)

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The planet that is likely to have a large iron core if all three planets have similar rocky surfaces but different average densities is 6000 kg / m³

Density is directly proportional to he size of iron core. Larger the density of the planet larger will be the size of iron core of the planet. Smaller the density of the planet smaller will be the size of iron core of the planet.

Average density of a planet is the value of total mass divided by the total volume. If the average density of a planet is higher than 3000 kg / m³, the planet is terrestrial. If the average density of a planet is lesser than 2000 kg / m³, the planet is Jovian.

Therefore, the planet that is likely to have a large iron core if the planet with 6000 kg / m³

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Main answer-  the mass of the backpack is 1.53kgs

Supporting answer- The mass of the body is the quantity of matter contained in it .

weight of a body is defined the amount of mass or heaviness of the body

Weight = mass x acceleration due to gravity

Body of the answer- Given ,

weight of backpack = 15000g = 15kgs

mass =             weight of the body

                    acceleration due to gravity

mass of the bag =     15 kgs

                                      9.8

                       = 1.53 kgs

Final answer- hence mass of the backpack is 1.53kgs

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Time will it take to reach the ground is 9.3second

What is acceleration?

The velocity of an object may change due to an increase or reduction in speed or a change in direction of motion. The fall of an apple, the moon orbiting the earth, or a car stopped at a traffic light are all examples of acceleration. We can see from these examples that acceleration occurs when the direction of a moving object changes or its speed increases or decreases.

Acceleration is a vector quantity defined as the rate at which an object's velocity varies. If an object's velocity changes, it is accelerating.

If a person is moving quickly, sports announcers will occasionally state that he or she is accelerating. However, acceleration has nothing to do with speed. A person can be travelling very quickly yet not accelerating. Acceleration is the process of modifying the rate at which an object moves. If an object's velocity does not change, it is not accelerating. The data on the right indicate an accelerating object travelling northward. The velocity of the object changes throughout time.

We are using second equation of motion

s= ut+1/2[tex]t^{2}[/tex]

300=-15T +1/2*(10)[tex]T^{2}[/tex]

t = 9.3 second

Time will it take to reach the ground is 9.3second

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Note: Can you please add a screenshot? So I can help you out.

Answer:

Kinetic energy

Explanation:

Kinetic = movement or something

the ball moved, sounds like kinetic.

Answer: A 0.065 METER   0.1025 METER   0.215 METER

B 0.001432 meter^3

C 1955.307 kg/m^3

Explanation:

The initial energy becomes stored in the system by the tension in the string.

Energy is the capacity to do work. Energy cаn exists in mаny different forms. Аll forms of energy аre either kinetic or potentiаl. The energy аssociаted with motion is cаlled kinetic energy. The energy аssociаted with position is cаlled potentiаl energy. Potentiаl energy is not "stored energy". Energy cаn be stored in motion just аs well аs it cаn be stored in position.

А tension force is а force developed in а rope, string, or cаble when stretched under аn аpplied force. It is the force generаted when а loаd is аpplied аt the ends of аn object, normаlly to the cross-section of it. It cаn аlso be cаlled the pulling force, stress, or tension. This type of force is only exerted when there is contаct between а cаble аnd аn object. Tension аlso аllows force to be trаnsferred аcross relаtively lаrge distаnces.

Your question is incomplete, but most probably your full options were

a. The energy is supplied by the tension in the string.

b. The energy is part of the mass.

c. The force of Gravity does work on the mass when it is displaced some height when the pendulum is displaced by some angle theta.

d. I did work on the mass by dispacing it some height when I displaced the pendulum by some angle theta.

Thus, the correct option is A.

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At point A the spinning wheel will experience least centripetal force.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Centripetal force is applied on object depends on the centre and object distance. So B will experience maximum force while A is least.

At point A the spinning wheel will experience least centripetal force.

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A. The amount of heat energy the heater supply is 42000 J

B. The temperature rise of the water is 5 °C

A. How do I determine the energy supplied by the heater?

We can determine the heat energy supplied by the heater as illustrated below:

Electrical power = Electrical eneryg / time

210 = Energy / 200

Cross multiply

Energy = 210 × 200

Energy = 42000 J

Thus, the energy supplied is 42000 J

B. How do I determine the temperature rise?

The temperature rise of the water can be obtained as follow:

Q = MCΔT

42000 = 2 × 4184 × ΔT

42000 = 8368 × ΔT

Divide both sides by 8368

ΔT = 42000 / 8368

ΔT = 5 °C

Thus, the temperature rise is 5 °C

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