An airplane of mass 1.7 × 104 kg tows a glider of mass 0.9 × 104 kg. The airplane propellers provide a net forward thrust of 4.0 × 104 N. What is the glider's acceleration?A. 1.5 m/s2B. 2.4 m/s2C. 5.0 m/s2D. 4.4 m/s2E. 9.8 m/s2

The spectacle lens would have a power of -2.00 diopters that is is needed to correct the vision of a nearsighted person whose far point is 49.7 cm.

1.) Determine the power of the spectacle lens needed to correct the vision of a nearsighted person.

P = 1/f

P = 1/49.7 cm

P = 0.02 D

2.) Convert the power of the spectacle lens to diopters.

P = 0.02 D

1 D = 100 cm

P = -2.0 diopters

" - " indicates a diverging / concave lens as expected.

A diverging lens is a lens that causes light to spread out, or diverge. A concave lens is a lens that is curved inward. These lenses are used to correct vision problems such as myopia, or nearsightedness.

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Answer:

Water is a liquid at standard temperature and pressure (25 degrees Celsius and 1 atm, for liquids). Water is is tasteless and odorless.

Explanation:

(a) The initial temperature is 373.95 K.

(b) The final temperature is 546.15 K.

(c) The total internal energy change of the fluid during this process is 515.4 kJ.

(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.

(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.

(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.

(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.

(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.

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When a stone is thrown straight upward and at the top of its path, its velocity is momentarily zero. The acceleration at that point is equal to the acceleration due to gravity, which is approximately 9.81 m/s².

Why is the acceleration at the top of its path due to gravity? The acceleration of the stone is due to gravity because gravity is the only force acting on it at that point. As the stone moves upward, gravity slows it down until it comes to a complete stop at the top of its path. At that point, the stone changes direction and begins to fall back to the ground under the influence of gravity. Therefore, the acceleration at the top of its path is equal to the acceleration due to gravity.

What is the formula for acceleration due to gravity?

The formula for acceleration due to gravity is: a = GM/r²

Where: a = acceleration due to gravity, G = gravitational constant, M = mass of the object attracting the stone (in this case, the mass of the Earth), r = distance between the stone and the center of the Earth (radius of the Earth in this case)

However, in most cases, we can use the average value of acceleration due to gravity, which is 9.81 m/s². This is because the acceleration due to gravity is almost constant at the surface of the Earth.

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Answer:

6 km/h

Explanation:

V avg = ∆x/∆t = 3km / 30 min ×(60min/1h) = 3 km× 2 /h = 6 km/h

a. The 95% confidence interval for the population proportion is approximately 0.249 to 0.917.

b. It is also plausible that the success rate is higher than half the population.

a. To construct a 95% confidence interval for the population proportion, we can use the formula:

CI = p' ± Z * √((p'(1-p'))/n),

Where p' is the sample proportion (success rate), Z is the Z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.

Given that the drug treatment was successful for 7 out of 12 women, the sample proportion is p' = 7/12 = 0.583.

To determine the Z-score for a 95% confidence level, we need to look up the critical value from the standard normal distribution. For a two-tailed test, the Z-score for a 95% confidence level is approximately 1.96.

Substituting the values into the formula, we have:

CI = 0.583 ± 1.96 * √((0.583(1-0.583))/12).

Calculating the expression within the square root:

√((0.583(1-0.583))/12) ≈ 0.170.

Substituting this value into the formula:

CI = 0.583 ± 1.96 * 0.170.

Calculating the lower and upper bounds of the confidence interval:

Lower bound = 0.583 - (1.96 * 0.170) ≈ 0.249,

Upper bound = 0.583 + (1.96 * 0.170) ≈ 0.917.

Therefore, the 95% confidence interval for the population proportion is approximately 0.249 to 0.917.

b. To determine if it is plausible that the drug treatment is successful for only half the population (p = 0.5), we can check if the value 0.5 falls within the 95% confidence interval. In this case, since the lower bound of the confidence interval (0.249) is less than 0.5, it is plausible that the success rate is lower than half the population. However, since the upper bound of the confidence interval (0.917) is greater than 0.5, it is also plausible that the success rate is higher than half the population. The 95% confidence interval indicates that the true population proportion could lie anywhere between 0.249 and 0.917, so we cannot definitively conclude that the success rate is exactly half the population.

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If the pull is done horizontally, then the net force on the car is

∑ F = T - f = (1500 kg) (3 m/s²)

where T is the magnitude of the tension in the towing cable, and f is the friction which points in the opposite direction. Then

T = f + (1500 kg) (3 m/s²)

T = 2500 N + 4500 N

T = 7000 N

The path difference is 600 nm and the wavelength of the light is 400 nm (blue light). Since the path difference (600 nm) is not a multiple of the wavelength (400 nm), the two waves will interfere destructively,

When two waves of the same frequency and amplitude interfere, the resulting wave is determined by the phase difference between them. If the two waves are in phase when they start, then they will continue to be in phase until they encounter a path difference. In this case, the path difference is 600 nm, which is 1.5 times the wavelength of the blue light (400 nm).

When the two waves interfere, they will produce a pattern of interference known as a diffraction pattern. In this case, the path difference is large enough that the two waves will interfere destructively, meaning that the amplitudes of the waves will cancel each other out at certain points along the diffraction pattern. The exact locations of these points depend on the angle of incidence, but in general, they will be spaced at regular intervals corresponding to the wavelength of the light.

Therefore, when two light waves of the same frequency start out in phase and interfere having traveled different distances, if the path difference in the two waves is 600 nm and the wavelength of the light is 400 nm (blue light), the interference will be destructive and result in a diffraction pattern with points of cancellation spaced at regular intervals corresponding to the wavelength of the light.

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Answer:

iron

Explanation:

According to an energy bill, a client used 1027 kilowatt hours (kwh) in July. Did the customer consume the stated 1 joules = 3600 joules?

Physically, it is colorless, odorless, and a gas at ambient temperature with a weight of 1.260 g per liter under normal circumstances. It reacts with acetone and is chemically combustible, polymerizing to make polyethylene.

The following assertion about chemical and physical changes is true: C) Physiological changes always result in the creation of new substances. In nature, there are two different types of change: chemical development and physical change. No new chemicals are created, only the physicochemical characteristics of existing substances are temporarily altered.

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Answer:

There will be a phase change at the first interface and no phase change at the second interface:

If the film is 1/4 wavelength thick this restriction will hold

The wavelength of the light in oil is 545 nm / 1.45 = 376 nm

376 nm / 4 = 94 nm

"D" is correct

The new productivity is  40.6 boxes per hour. Therefore, the correct option is option 1.

The Dulac Box plant has increased its productivity by 30% due to the use of new technology. Previously, they produced 500 cypress packing boxes in two 8-hour shifts, which totals 16 hours. To find the new productivity, first, we need to calculate the number of boxes produced with the increased productivity:

500 boxes * 1.30 (30% increase) = 650 boxes

Now, to find the boxes produced per hour, we will divide the total number of boxes by the total number of hours worked:

650 boxes / 16 hours = 40.625 boxes/hr

So, the new productivity is approximately 40.6 boxes per hour which corresponds to option 1.

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In the diagram with 4 small circles representing the positions of the Moon orbiting around the Earth, spring tides occur when the Moon is in a straight line with the Earth and the Sun. This happens during the full moon and new moon phases, when two of the circles are aligned with the Earth-Sun line.

The spring tides occur when the moon is either in the new moon or full moon phase and is in alignment with the sun and the earth. This causes a stronger gravitational pull on the oceans, resulting in higher high tides and lower low tides. The 4 small circles in the diagram likely represent the positions of the moon during different phases of its orbit around the earth.

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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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This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

One method to separate a mixture of colored inks is chromatography. Chromatography is a physical separation technique used to separate mixtures based on their molecular properties. In the case of colored inks, paper chromatography is a commonly used technique.

In paper chromatography, a small amount of the ink mixture is spotted onto a piece of chromatography paper, and the paper is placed in a container with a small amount of solvent (e.g. water, alcohol, or acetone). The solvent moves up the paper by capillary action, carrying the ink mixture with it. As the solvent moves up the paper, different components of the ink mixture are separated and are visible as colored bands.

The separation occurs because different components of the mixture have different affinities for the paper and the solvent. Components that are more soluble in the solvent will move up the paper more quickly, while those that are more attracted to the paper will move up more slowly. This results in a separation of the components based on their physical and chemical properties.

By comparing the separated bands of the ink mixture to those of known pure inks, the identity of each component in the mixture can be determined. This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

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A likely method to separate a mixture of colored inks is through chromatography, a technique used to separate components of a mixture. It separates the ink into its constituent colors by allowing a solvent to travel up a stationary phase like paper, carrying the ink mixture with it.

A method that would likely be used to separate a mixture of colored inks is chromatography. Chromatography is a method used in chemistry to separate components of a mixture. It works by using a stationary phase and a mobile phase. In the case of ink separation, the ink mixture would be placed on a stationary phase (like paper), and a solvent (the mobile phase) would be allowed to travel up the paper. As the solvent travels, it moves the mixture along its path. Each component of the ink by their size, chemical properties, and interaction with the solvent and paper will move at different rates, thereby separating the ink into its constituent colors. This method is particularly useful in analyzing the chemical composition of inks and other similar mixtures.

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Answer:

Is a

Explanation:

The energy due to work done in separating the plates goes into the battery and not into the capacitor. Work done on the charges is not included in the energy stored in the capacitor.

a. The capacitance of a parallel-plate capacitor is given by C = εA/d, where ε is the permittivity of free space, A is the area of each plate, and d is the distance between the plates. Using the given values, we get:

C = \((8.85 × 10^-12 F/m)(0.2 m)^2 / (0.001 m) = 7.08 × 10^-10 F\)

The energy stored in a capacitor is given by \(U = (1/2)CV^2,\) where V is the voltage across the capacitor. Using the given values, we get:

\(U = (1/2)(7.08 × 10^-10 F)(50 V)^2 = 8.85 × 10^-4 J\)

b. The capacitance of the capacitor changes when the distance between the plates is changed. The new capacitance is given by:

\(C' = (8.85 × 10^-12 F/m)(0.2 m)^2 / (0.002 m) = 7.08 × 10^-11 F\)

The voltage across the capacitor remains the same as it is still connected to the 50-V battery. The energy stored in the capacitor now is:

U' = (1/2)(7.08 × 10^-11 F)(50 V)^2 = 1.77 × 10^-5 J

c. When the battery is disconnected, the charge on the plates remains constant. The new capacitance and voltage are given by:

C' = (8.85 × 10^-12 F/m)(0.2 m)^2 / (0.002 m) = 7.08 × 10^-11 F

V' = V(d/2)/(d) = (50 V)(0.001 m) / (0.002 m) = 25 V

The energy stored in the capacitor now is:

\(U' = (1/2)(7.08 × 10^-11 F)(25 V)^2 = 4.42 × 10^-6 J\)

d. The energy stored in the capacitor decreases in (b) because the voltage across the capacitor remains the same, but the capacitance decreases. This means that the charge on the plates decreases, and therefore, the energy stored in the capacitor also decreases.

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The light that has traveled through transparent glass and exited on the opposite side will move at the same speed as it was moving before entering the glass, but it would have traveled slower while inside the glass.

The speed of light changes when it travels through a transparent medium like glass. The speed of light in vacuum or air is approximately 299,792,458 meters per second (often rounded to 3.00 x 10⁸ m/s), but it slows down when it passes through a medium like glass. The amount of slowing down depends on the refractive index of the material, which is a measure of how much the speed of light is reduced as it passes through the material.

For typical glasses, the refractive index is around 1.5, which means that the speed of light is reduced by a factor of about 1.5 when it passes through the glass. So, if the speed of light in vacuum or air is taken as 1, the speed of light in glass would be approximately 2/3 (or 0.67) of its original speed.

When the light exits the glass on the opposite side, it returns to its original speed in air or vacuum. Therefore, the light exits the glass with the same speed it had before it entered the glass, as long as it is not absorbed or scattered by the glass.

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Answer:

:)

Explanation:

Population is how many people or citizens are in that country or continent.

Show us the experiment then

In the diffraction pattern formed by a single slit with monochromatic light, there are three bright bands on each side of the central maximum.

When light passes through a single slit, it undergoes diffraction, resulting in a pattern of bright and dark regions on a screen or surface. The central maximum is the brightest region in the pattern and is located at the center.

The number of bright bands on each side of the central maximum can be determined by counting the bright fringes, also known as minima or maxima. In this case, the problem states that the 4th minimum occurs at an angle of 35° from the central maximum. Since the central maximum is considered the 0th minimum, there are three additional bright bands on each side (4th, 3rd, and 2nd) before reaching the central maximum. Therefore, the total number of bright bands on each side of the central maximum is three.

This pattern is a result of the interference and diffraction of light waves passing through the single slit. The spacing between the bright bands decreases as the order of the minimum increases, leading to a narrower pattern. The exact spacing and positions of the bright bands can be determined using the principles of wave interference and diffraction.

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Answer:

Actually, there is  no force (felt by the object) acting on the object.

It is similar to an  object in orbit around the earth (weightlessness)

F = M a    describes the motion of the particle where

M a = M g    where the acceleration of the particle is equal to the force of gravity acting on the particle

From an external view the only force acting on the particle is M g and it produces an acceleration of M g

There is no force felt by the freely falling body. The cause of free fall is gravitational pull. Where Acceleration is equal to the gravitational acceleration. According to Newton's Law of Gravitation , two bodies attract each other due to their masses and separation , since earth is a very big body therefore the lit body falls towards the earth . Thus the graph plotted is a straight line.

What is Newton's law of Gravitation?

"The force acting between two bodies is directly proportional to product of masses and inversely proportional to the square of the separation ."

F= G.{m_{1} . m_{2} }/r^{2}.

Hence the only force by which the object is falling is gravitational pull.

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The total heat needed to raise 4 moles of ethanol from 72°C to 90°C is equal to 257.2 KJ.

The specific heat of a substance can be defined as the amount of heat needed to raise the temperature in 1 unit of substance by one-degree Celcius.

Q = mCΔT

The heat needed to raise the ethanol from 72°C to a boiling point of 78°C will be:

Q₁ = 4 × 0.110 × (78°C - 72°C)

Q₁ = 33.6 KJ

To calculate the heat needed to evaporate the ethanol is:

Q₂ = 4 × 43.3

Q₂ = 173.2 kJ/mol

The heat needed to raise the ethanol vapor from 78°C to 90°C. is equal to:

Q₃ = 4 × 0.78 × (90°C - 78°C)

Q₃ = 50.4 KJ

Therefore, the total heat needed to raise 4 moles of ethanol from 72°C to 90°C will be:

Q = 33.6 kJ + 173.2 kJ + 50.4 kJ

Q = 257.2 kJ

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Answer:

Electric Current

Explanation:

The head to tail method is an easy way to find the resultant vector. The steps are quite straight forward. The steps include the following:

Vector in mathematics is a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.

The head to tail method gives into account  the head of a vector to be the end with the arrow, or the 'pointy end'. The tail of the vector is where the vector begins.

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In situation 4 will an object always stay motionless. When the applied forces add up to zero.

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.

The moment in the body is only due to the applied force. An object in scenario 4 remains stationary at all times. When all of the applied forces total up to zero.

Hence option 4 is correct.

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