two forces act on an 8 kg object; 43 n to the right and 54 n to the left. find the acceleration of the object.

True.

The sidereal drive of a telescope mounting is responsible for precisely tracking the apparent motion of celestial objects as the Earth rotates.

The term "sidereal drive" refers to a mechanism or system used in telescopes to track the apparent motion of celestial objects in the night sky. It compensates for the rotation of the Earth, allowing the telescope to remain fixed on a specific celestial target for an extended period.

The Earth completes one rotation on its axis in about 24 hours, causing the stars and other celestial objects to appear to move across the sky. This apparent motion is due to the Earth's rotation and is independent of the actual motion of the celestial objects themselves.

A sidereal drive in a telescope works by rotating the telescope's mount or the instrument itself at a rate that matches the apparent motion of the stars.

The sidereal drive is usually synchronized with the rotation of the Earth relative to the stars, which takes approximately 23 hours, 56 minutes, and 4.09 seconds. This period is known as a sidereal day, which is slightly shorter than a solar day due to the Earth's orbital motion around the Sun.

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The displacement of the pendulum is 0.815 m.

Mass of the pendulum, m = 25 kg

Length of the pendulum, l = 0.75 m

Distance moved by the pendulum, x = 0.25 m

Therefore, acceleration of the pendulum,

a = -(g/l) x   the negative sign implies the restoring force.

a = -(9.8/0.75) 0.25

a = -3.26 m/s²

Time period of the pendulum = 2 s

Angular frequency, ω = 2\(\pi\)/T

ω = 2 x 3.14/2

ω = 2 s⁻¹

Displacement,

x' = -(a/ω²)

x' = 3.26/4

x' = 0.815 m

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Elastic force is the type of force which the catapult applies to the stone.

This is a launching device which is composed of rubber and used in the study of projectile motion.

The type of force present in a rubber is elastic force which is applied as a result of pressure on it when the individual launches the stone towards the required target.

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The catapult applies elastic force to the stone which is converted to kinetic energy of the flying stone.

Elastic potential energy is the type of energy that is stored in an elastic material.

The catapult is an elastic material that converts elastic energy into kinetic energy of flying stone.

Thus, the catapult applies elastic force to the stone which is converted to kinetic energy of the flying stone.

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Answer:

Explanation:

The definition of acceleration is the change in velocity over a period of time. If the girl's velocity is constant, that means it's not changing. Therefore, acceleration is 0 m/s/s

Answer:

The correct answer is - Denying the pleasure of an immediate reward so that you can receive a greater reward later.

Explanation:

Delayed gratification is a gratification method or the process that helps in improving self-control and helps in goals that take time to achieve. It is referred to as the ability to stop or prevent oneself from something more rewarding or pleasurable immediately, in order to get something more pleasurable or rewarding later.

For instance, an individual watch tv before a big exam or studying for the exam so can watch tv after getting good grades.

The correct answer is - option D.

Potential energy can be defined as a form of energy that is possessed by an object due to its height (position or location) above a surface or planet Earth.

Mathematically, potential energy (P.E) can be calculated by using this formula:

P.E = mgh

Where:

Kinetic energy can be defined as a form of energy that is possessed by a person due to its motion or change in speed (acceleration).

Mathematically, kinetic energy can be calculated by using this formula:

K.E = 1/2 × mv²

Where:

Mathematically, speed can be calculated by using this formula:

Speed = distance/time

Based on the calculations, we can logically deduce and conclude that the potential energy of the ball increases with an increase in heights on a ramp. Also, the final kinetic energy of the ball is greater than it was at the initial height of the ball on this ramp.

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Complete Question:

1. Record your observations in the data table.

2. What conclusions can you draw about how the amount of potential energy stored in a system changes as a ball is placed at varying heights on a ramp? Write an evidence-based claim.

3. What conclusions can you draw about how the final kinetic energy of a ball in a system changes as a ball is placed at varying heights on a ramp? Write an evidence-based claim.

Answer:

\(\displaystyle \frac{x}{\sin x} = \sum^{\infty}_{n = 0} \frac{(2n + 1)!}{(-1)^nx^{2n}}\)

General Formulas and Concepts:

Calculus

Differentiation

Sequences

Series

Taylor Polynomials

Power Series

Explanation:

*Note:

You could derive the Taylor Series for sin(x) using Taylor polynomials by differentiation by usually you have it memorized.

We want to obtain an infinite amount of derivatives of the given:

\(\displaystyle \frac{x}{\sin x}\)

We know that a power series is defined as an infinite derivatives of a function. We know that the power series for sin(x) is:

\(\displaystyle \sin x = \sum^{\infty}_{n = 0} \frac{(-1)^nx^{2n + 1}}{(2n + 1)!}\)

Divide x by the power series to obtain our derivatives:

\(\displaystyle \frac{x}{\sin x} = \sum^{\infty}_{n = 0} \frac{x}{\frac{(-1)^nx^{2n + 1}}{(2n + 1)!}}\)

Simplify this down:

\(\displaystyle \frac{x}{\sin x} = \sum^{\infty}_{n = 0} \frac{(2n + 1)!}{(-1)^nx^{2n}}\)

And we have our final answer.

Topic: AP Calculus BC (Calculus I + II)

Unit: Power Series

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

In the given equation :

\( \qquad❖ \: \sf \:y = a + b + c( {t}^{2} )\)

If three physical quantities is to be added or subtracted, they must have same dimensions.

So, dimension of y = dimension of c(t²)

And we already know,

( by squaring )

Now, we need to calculate dimension and unit of c :

\( \qquad❖ \: \sf \:dim(y) = dim(c {t}^{2} )\)

\( \qquad❖ \: \sf \:M⁰L¹T⁰ = dim(c) \sdot M⁰L⁰T²\)

\( \qquad❖ \: \sf dim(c) = \frac{M⁰L¹T⁰}{ M⁰L⁰T²} \)

\( \qquad❖ \: \sf dim(c) = {M⁰L¹T {}^{ - 2} }\)

Now, we got the dimension of c as :

So, it's SI unit will be :

[ since SI unit of length/distance = m, and SI unit of Time = sec, hence SI unit of T² = s² ]

Question

If y = a + by + c(t)^2 where y = distance , t = time , find the dimension and unit of c.

\(\boxed{\green{c=M^0L^1T^{-2}}}\)

Solution Given:

We know that

Law of Homogeneity of Dimensions In any correct equation representing the relation between physical quantities, the dimensions of all the terms must be the same on both sides.

Dimension of Time is denoted by [T]

Dimension of distance is denoted by [L]

Dimension of mass is denoted by [M]

So,

Dimension of a, by, c(t)^2  should be equal to y.

y=[L] .......[1]

a=[L].......[2]

by=[L].......[3]

c(t)^2=[L].....[4]

Now

The dimension of c can be obtained as:

c(t)^2=[L]

c= \( \frac{[L]}{[T^2]}\)

\(\boxed{\green{c=M^0L^1T^{-2}}}\)

Sry for late!!

The Mass of the car = 782.1 Kg

The mass of the car is calculated as follows:

The force on the car = 6570 N

The acceleration of the car, a = 38 - 0/4.5

acceleration = 8.44 m/s²

Mass of the car = 6570/8.44

Mass of the car = 782.1 Kg

In conclusion, the mass of the car is obtained from the acceleration and force on the car.

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Answer:

The heat of formation of the products of the heating of sugar, which is caramel is higher and due to the new complexes formed such there is increased change in free energy between the products and the reactants of the sucrose decomposition by heating, making the reaction is irreversible

Explanation:

Sugar, also known as sucrose, C₁₂H₂₂O₁₁, is a disaccharide made up two monosaccharides, fructose, C₆H₁₂O₆, and glucose, C₆H₁₂O₆ joined together by a glycosidic covalent bond as such the molecule of sugar has one less molecule of H₂O than the fructose and the glucose it is made of which on heating the sugar the glycosidic bonds break and due to deficiency in the amount of H₂O the fructose and glucose combine with themselves to form caramel which has a much lower hydrogen and oxygen proportion such as C₂₄H₂₆O₁₃, which is darker and contains free radicals making caramel sticky.

Therefore, the heat of formation of the caramel is higher and due to the formation of the complexes there is increased change in free energy between the products than the reactants of the decomposition of sugar by heating, therefore, the reaction is irreversible.

The thickness of the foil is approximately 0.07 cm if a metal has a density of 7.4 g/cm3. a rectangular thin foil of this metal measuring 2.4 cm by 6.cm has a mass of 7.42 g.

To find the thickness of the foil, we first need to calculate its volume. As the foil has a rectangular shape with length 6.0 cm and width 2.4 cm, the area can be calculated as: A = l*w

= 6.0 cm * 2.4 cm

= 14.4 cm^2

Next, we can use the formula for density to calculate the volume of the foil: density = mass / volume

volume = mass / density

Substituting the given values, we get: volume = 7.42 g / 7.4 g/cm^3

= 1.0027 cm^3

Finally, we can calculate the thickness of the foil by dividing the volume by the area: thickness = volume / area

= 1.0027 cm^3 / 14.4 cm^2

≈ 0.0697 cm

≈ 0.07 cm (rounded to two decimal places)

The thickness of the foil is approximately 0.07 cm.

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Technology and science support one another's advancement. New technologies are developed using scientific knowledge. New technology frequently enable scientists to examine nature in novel ways and generate novel findings.

By introducing a new area of scientific inquiry, a change in technology can have an impact on our understanding of science. For instance, the development of the microscope allowed biologists to study species that were invisible to the eye, resulting in the development of the field of microbiology.

Building new technologies with the use of scientific information frequently leads to new observations being made about the world, which in turn leads to the development of even more scientific knowledge.

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Then the two conditions necessary for the vertical distance equation are given by Newton's first law and second law.

The law of balance is part of Newton's first law of motion. Everything has a tendency to hold onto its equilibrium or resting state until it is disturbed by an outside force, according to Newton's first law. A state of equilibrium is one in which a body is constant. The body is subject to net zero force.

If the system is in equilibrium, then by Newton's first law, the equation is given as,

∑F = 0

And by Newton's third law, the equation is given as,

F₁₂ = - F₂₁

Then, Newton's first rule and second law provide the two conditions required for the actual output equation.

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Answer: 16.3 kcal

Explanation:

Given that the reaction releases 68 kJ or 68000 J. One cal is  4.184 J. Thus, 68000 J is 16.25 kilocalories.

An exothermic reaction is the reaction which evolves heat energy to the surroundings. The given reaction is an exothermic double displacement reaction.

The given reaction involves the displacement of nitrate and Cl groups in between silver metal and hydrogen. This reaction releases a heat of 68kJ or 68000 J

given, 1 cal of energy = 4.184 J

hence, 68000 J = 68000/4.184  = 16252 cal

One kilocalorie = 1000 calories

thus, 16252 calories = 16.25 kilocalories.

Therefore, the given reaction, releases 16.25 kilocalories of energy.

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Answer:

The correct option is;

A. Circular

Explanation:

Some of the light that impinges on the surface are reflected and the rest are transmitted to a different medium

At the surface of the next medium also, some of the light are transmitted while the others are reflected and refracted through the first medium

The speed of light (and hence the wavelength and color) refracted through the thin film is changed as the distance the refracted light travels through the thin film is increased as we move away from the point directly in the front view to some distance as the reflected light path from those distance to the eye is increased due to their inclination giving them a different wavelength which are all equal at a radial distance from the eye hence forming a circular fringes.

Answer:

there's a center of the earth..and there is every later of it..just like in a movie...it is true

Answer:

The layers of rock at Earth ’s surface contain evidence of the evolutionary processes undergone by these components of the terrestrial environment during the times at which each layer was formed. By studying this rock record from the very beginning, it is thus possible to trace their development and the resultant changes through time.

The momentum of a moving object is given by the formula momentum = mass x velocity. In this case, the mass of the car is 70 kg and the velocity is 10 m/s. Therefore, the momentum of the car is:

momentum = 70 kg x 10 m/s
momentum = 700 kg.m/s

The momentum of the 70-kg car moving eastward at 10 m/s is 700 kg.m/s.

The correct answer is option B, 700 kg.m/s.

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The fraction of the tensile strength which is the stress on the femur is 1.4%.

This is defined as the amount of load or stress that a material can handle before it stretches and breaks.

The femur which is located in the thigh is the largest bone in the body and it exerts a fraction of 1.4% tensile strength through the stress encountered on the femur when the man stands with one leg.

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Answer: (C) Slide against each other

Explanation:

Think about rubbing our palms together, and they get warm that right there is friction.

Answer:

slide against each other

Explanation:

Answer:

maintaining overall fluid balance regulating and filtering minerals from blood filtering waste materials from food, medications, and toxic substances.

Explanation:

Answer: Nephrons

Explanation: The structural and functional unit of the kidney is known as nephrons. These are microscopic structures found in the kidneys.

A healthy adult has 0.8 to 1.5 million nephrons in the kidney of a adult. Its main function is filtration of the blood.

Blood is filtered and the impurities are collected to excrete out of the body in the form of urine.

Answer:

The answer is "case law".

Explanation:

This law is not based on law, but on legislatures, statutes, or legislation, on judgments. Its also used as a different term with common law, which is the collection of precedents as well as power on a specific subject established in previous judicial decisions that are a part of Common law, which is also recognized as case law to establish by the court system based on legal case law.

The magnetic field produced by a current-carrying wire decreases with distance and depends on the magnitude of the current and the distance from the wire.

According to the Boit-Savart Law, the magnetic field created by a current-carrying wire is directly proportional to the current and inversely proportional to the distance from the wire. The formula for the magnetic field produced by a wire is given by B = μI/2πr, where B is the magnetic field, I is the current, r is the distance from the wire, and μ is the permeability of free space.

In this case, the current in the wire is 110 A and the distance from the wire to the ground is 8.0 m. Therefore, the magnetic field at ground level is given by B = (4π x 10^-7 Tm/A) x (110 A) / (2π x 8.0 m) = 6.88 x 10^-6 T. This is a very small magnetic field and is not likely to have any significant effect on objects or organisms at ground level. However, in situations where the current is much higher or the distance from the wire is much smaller, the magnetic field can be much stronger and can have significant effects on nearby objects.

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In chiaroscuro, the highlight is directly next to the (3) Light. Chiaroscuro is an artistic technique commonly used in visual arts, particularly in painting and drawing.

It involves the use of contrasting light and dark values to create a sense of depth and volume in a two-dimensional artwork. The term "chiaroscuro" originates from the Italian words "chiaro" (light) and "scuro" (dark).

In this technique, the highlight refers to the area of the artwork that receives the most intense and direct light. It is usually positioned adjacent to the areas of the artwork that are in shadow or have darker values.

The contrast between light and dark creates a sense of three-dimensionality and emphasizes the volume and form of the depicted objects or figures.

Therefore, (3) Light is the correct answer.

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The horizontal distance travelled by the football is 3.1 m.

The angle of projection of the football is calculated as follows;

tan ( θ ) = Vy / Vx

where;

tan ( θ ) = 5 / 3

tan ( θ ) = 1.667

θ = arc tan (1.667)

θ = 59⁰

The resultant velocity of the ball is calculated as follows;

v = √ (Vx² + Vy²)

v = √ (3² + 5²)

v = 5.83 m/s

The horizontal distance travelled by the football is calculated as follows;

x = v² sin(2θ) /g

where;

x = [ (5.83)² sin(2 x 59) /9.8 ]

x = 3.1 m

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The maximum EMF induced in the coil by the Earth's magnetic field is zero.

We can use Faraday's law of electromagnetic induction to calculate the maximum EMF induced in the coil by the Earth's magnetic field. Faraday's law states that the EMF induced in a coil is equal to the rate of change of the magnetic flux through the coil.

Assuming the loop is a circle of radius r, the magnetic flux through the loop due to the Earth's magnetic field is given by:

Φ = B * A * cosθ

where B is the horizontal component of the Earth's magnetic field, A is the area of the loop, and θ is the angle between the normal to the loop and the direction of the magnetic field. Since the loop is lying flat on the ground, θ = 0, and cosθ = 1.

The area of a circle is A = π\(r^2\), so we have:

Φ = B * π\(r^2\)

The rate of change of the magnetic flux through the loop is given by the time derivative of Φ:

dΦ/dt = d(B * π\(r^2\))/dt = π\(r^2\) * dB/dt

Since the horizontal component of the Earth's magnetic field is constant, dB/dt = 0, so the rate of change of the magnetic flux is zero.

Therefore, the maximum EMF induced in the coil by the Earth's magnetic field is zero.

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The remaining area of the square is (768 - 4π) in².

The area of the square before any circles are removed is given by the formula A = s², where A is the area and s is the length of a side of the square. If we remove four circles, each with a radius of 2 inches, from the square, we are essentially removing a square that has sides equal to the diameter of the circles (which is 4 inches) from each corner of the original square.

The area of each circle is given by the formula A = πr², where A is the area and r is the radius. Substituting r = 2, we get A = 4π. The area of each square that is removed is given by the formula A = s², where s is the length of a side of the square. Since s = 4 inches (the diameter of the circle), we get A = 16 in².

Therefore, the total area of the four squares that are removed is 4 x 16 = 64 in², and the total area of the four circles that are removed is 4 x 4π = 16π in². The area of the remaining square is the original area minus the area of the four squares that were removed and the area of the four circles that were removed.

Substituting the values, we get:

A = s² - 64 - 16π

A = (4s²)/4 - 64 - 16π

A = 4(s²/4 - 16 - 4π)

A = 4((s² - 64) - 4π)

A = 4((16²) - 64) - 4π)

A = 4(256 - 64) - 4π

A = 4(192) - 4π

A = 768 - 4π

The complete question is

Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square?

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Answer:

Conduction is the transfer of kinetic energy from one particle to another

Answer:

You did not include the picture but I found a similar question that I can explain and you can then use to answer yours.

The middle scale is in hundreds. The arrow here is pointing to 100 so the mass of the object is more than 100g but less than 200g.

The highest scale is in 10s. The arrow is pointing to 0. This means that the object weighs more than 100 but less than 110 g. If the arrow was pointing to 10 then the object would weigh more than 110g.

The bottommost scale is in 1s. Notice how the scale is pointing to 5.7 grams. The object is therefore 105.7 grams.

Look for the option closest to this because the 105.7g might be rounded up.

You will then find 105.65g as your answer.

Answer:433.0 g

Explanation:i’m not 100% sure

what's the answer to say