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MULTIPLE CHOICE QUESTIO
Where is the force of Gravity stronger?
neither
far from earth
close to earth

We need the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other to find the instantaneous velocity but not the average velocity.

We need to take a moment to be able to explain to ourselves again the meaning of the term velocity. Let us recall that the term velocity would have to do with the change in the position of an object with time.

We know that the velocity is a vector quantity and as such we must have to look at the direction in which the distance that has been covered has passed through and this is something that we must keep in  mind as we work through this question.

Now, we know that the velocity is the change in position as such we need the two positions of the object and the approximate time taken to make the change.

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The modern atomic theory is likely to continue evolving as new discoveries are made, particularly in areas such as dark matter, quantum mechanics, computational power and simulation techniques

It is likely that the modern atomic theory will continue to be updated as new observations and discoveries are made in the field of atomic and subatomic particles.

One area where there is ongoing research is in the study of dark matter and dark energy, which make up a large portion of the universe but cannot be directly observed. Understanding the nature of these phenomena could lead to new insights into the behavior of particles at the atomic level.

Another area of ongoing research is in the study of quantum mechanics and its application to atomic and subatomic particles. As technology advances and scientists are able to study these particles in greater detail, it is likely that our understanding of quantum mechanics will continue to evolve.

Additionally, advancements in computational power and simulation techniques may allow scientists to simulate and predict the behavior of atoms and molecules with greater accuracy, leading to further refinements of the modern atomic theory.

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Answer:

\(500\text{N} (490\text{N}) (490.5\text{N})\)

Explanation:

The reaction force is the force that is in the perpendicular direction to the wall.

We have an angle and a hypotenuse, we need to find the adjacent angle - so we can just use cos:

\(cos(\theta)=\frac{\text{adj}}{\text{hyp}}\\\text{hyp}*cos(\theta)=\text{adj}\\100*cos(60)=100*0.5=50\text{kg}\)

However, we would like a force and not a mass.

\(W=mg\\W=50g\\W=500\text{N} (490\text{N}) (490.5\text{N})\)

Answer 1 if you use g as 10, answer 2 if you're studying mechanics in maths, answer 3 if you're studying mechanics in physics.

Answer:

2.04 minutes

Explanation:

He travels the first mile at 50 mph so:

\(60/50=1.2\)

so it takes 1.2 minutes to travel each mile when going 50 miles per hour

and for the second mile he travels at 71 mph so:

\(60/71=0.84\) (this answer is rounded)

so it takes him 0.84 minutes to travels each mile while going 71 mph.

If you ad them together his total times while biking two miles was 2.04 minutes.

Answer:

uuuugggghhhhhhhhggggffffffffffffff

Answer:

The geocentric model could not fully explain these changes in the appearance of the inferior planets (the planets between the Earth and the Sun). Furthermore, Galileo's observations of Jupiter's moons made it clear that celestial bodies do move about centers other than the Earth.

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Answer:

instruments

Explanation:

When the swing moves from the lowest point up to either peak, the main force acting is momentum; and when the swing falls from either peak to its lowest point, the main force acting is gravity. If you do not pump your legs fast enough, air resistance along with gravity will keep you down.

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Pendulum under goes energy conversions from potential to kinetic and back to potential.

A pendulum consists of a long string to which a bulb is attached. The string is fastened to a point from which it can oscillate freely when displaced through a small angle.

The pendulum is an example of a system in which energy conversion takes place. The energy is converted from potential to kinetic and back to potential. Since the image was not shown in the question, we can not locate the specific points where the energy conversions occur.

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Answer:

0.022 m

Explanation:

The magnification of a telescope is given by the formula:

magnification = focal length of telescope / focal length of eyepiece

We are given the focal length of the telescope (2.2 m) and the desired magnification (100 times). We can rearrange the formula to solve for the focal length of the eyepiece:

focal length of eyepiece = focal length of telescope / magnification

focal length of eyepiece = 2.2 m / 100 = 0.022 m

Therefore, the eyepiece focal length needed for a magnification of 100 times is 0.022 m

The ecological methods allows to find the correct answer to the question of how to prevent river pollution is:

   b)  Maintain zones of grass at least wide on the sides of streams in the area.

Stream pollution from human activities can occur in a number of ways:

Let's analyze the different claims.

a) False. It is too expensive and the slopes cannot be changed due to possible flooding problems.

b) True. Maintaining a protective zone with grass on the sides of the rivers, prevents the waste of the frarmer from reaching the river, and the problems of the debris reaching the river bank. This un  ecological methods.

c) False. The dam controls flooding but does not eliminate the problems of river pollution.

d) False. Many lands are not acts for agriculture, but for livestock.

In conclusion we can find the correct answer to the question of how to prevent river pollution is:

   b) Maintain zones of grass at least wide on the sides of streams in the area.

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According to the graph below, the statements about these cars must be true are :

options B and C are correct

Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

There are some similarities  between velocity and speed and they include:  

Velocity (v) is known as a vector quantity that measures displacement (or change in position, Δs) over the change in time.

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The graph is attached below:

Answer:

3 : Presence of a catalyst and Temperature

4 : correct, nothing needed to change

5 : Le Chatelier's principle states that when an equilibrium system is subjected to a disturbance or stress, it will undergo a shift in the direction that counteracts the impact of the stress, ultimately reestablishing a new state of equilibrium.

Answer:

The time taken is  \(t =   6.102 \  hours \)

Explanation:

From the question we are told that  

    The velocity of the train is \(v_t = 6.1 \ m/s\)

    The distance covered by the train is  \(D =  134 \  km  =  134000 \  m\)

Generally the time taken is mathematically represented as

     \(t =  \frac{  134000}{ 6.1 }\)

=>    \(t =  \frac{  134000}{ 6.1 }\)

=>    \(t = 21967.21 \ sec \)

Converting to hours

       \(t = 21967.21  =  \frac{21967.21 }{3600} =   6.102 \  hours \)

Answer:

0.09kg of air

Explanation:

The dimensions of the room are given

change the height to meters by dividing it by thousand.

For the volume multiplying the length,width and height (all should be in the same unit most suitable being meters).

Volume refers to the amount of space inside a box or a object.

The amount of air is equal to the volume.

Answer:

90 m^3

Explanation:

Volume of the room:

    6 m * 5 m * 3 m         =  90 m^3   <=====( I changed 3mm to 3 m)

if  3mm is not a typo mistake

 volume becomes     ( 3 mm = .003 m)

      6 m * 5 m * .003 m   = .09 m^3   ( though unlikely )

A wave, in scientific terms, is a disturbance or oscillation that transfers energy through matter or space without transferring mass.

In science, a wave refers to a disturbance or oscillation that travels through matter or space, transferring energy without causing any net movement of the particles within the medium.

Waves can be classified into two types: mechanical and electromagnetic. Mechanical waves, such as sound or ocean waves, require a medium (like air, water, or a solid) to propagate.

Electromagnetic waves, such as light, radio, and microwaves, can travel through a vacuum, like outer space. Waves are characterized by their amplitude, wavelength, frequency, and speed, which determine their energy and propagation characteristics.

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The planet that has ⅒ of the earth's gravity is the moon.

Gravity is the force exerted by any object with mass on any other object with mass.

Gravity is the force on Earth's surface, of the attraction by the Earth's masses, and the centrifugal pseudo-force caused by the Earth's rotation, resulting from gravitation.

The gravity on the planet Earth is 1 with a acceleration due to gravity of 9.8m/s². One-tenth of this is 0.1 (0.98m/s²).

The planet with the above gravity is the moon with a gravity of 0.166.

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Answer:

you could put the iron filings on the peace of paper and hover a magnet over top of the paper and the iron filings would stand up, or even stick to the magnet

Explanation:

Answer:

s = 1800 m = 1.8 km

Explanation:

The distance, the speed, and the time of reach of the sound are related by the following formula:

\(s = vt\)

where,

s = distance

v = speed

t = time

FOR WATER:

\(s = v_wt\) ---------------------- eq (1)

where,

s = distance between ship and diver = ?

\(v_w\) = speed of sound in water = 1440 m/s

t = time taken by sound in water

FOR AIR:

\(s = v_a(t+4\ s)\) ---------------------- eq (2)

where,

s = distance between ship and diver = ?

\(v_a\) = speed of sound in water = 344 m/s

t + 4 s = time taken by sound in water

Comparing eq (1) and eq (2),because distance remains constant:

\(v_wt=v_a(t+4\ s)\\\\(1440\ m/s)t = (344\ m/s)(t+4\ s)\\(1440\ m/s - 344\ m/s)t=1376\ m\\t = \frac{1376\ m}{1096\ m/s}\)

t = 1.25 s

Now using this value in eq (1):

\(s = (1440\ m/s)(1.25\ s)\)

s = 1800 m = 1.8 km

Answer:

W = F · x

Work is the product of force and distance

The vector equation listed above can be written

W = F S cos θ    where θ is the angle between the  force vector and the displacement vector

To calculate the refractive index of the liquid, we can use the formula for the radius of the nth bright ring in Newton's rings: \(r_n\) = √(n × λ × R). Therefore, the refractive index of the liquid is approximately 1.378.

\(r_n\) =  √(n × λ × R) (formula )

Where: \(r_n\) is the radius of the nth bright ring,

n is the order of the ring,

λ is the wavelength of light,

and R is the radius of curvature of the lens.

the third bright ring (r_3 = 3.65 mm = 0.365 cm), the radius of curvature of the lens (R = 10 m = 1000 cm), and the wavelength of light (λ = 0.0000589 cm).

n = \(r_n\) / √(n × λ × R)

Substituting the given values:

n = 0.365 / √(3 × 0.0000589 × 1000)

Calculating the value:

n ≈ 1.378 ( refractive index)

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At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.

To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.

The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:

\(C_H\)+ = \(10^(^-^p^H^)\)

Substituting pH = 8 into the formula:

\(C_H\)+ = \(10^(^-^8^))\)

Using the properties of logarithms, we can calculate the concentration of H+ ions:

\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L

According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.

To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:

Ratio = \(C_H\)+ / \(C_O_H\)-

Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))

Ratio = 1:1

The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.

When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.

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The closest distance and angle to this question are 1540.35 kilometers and 38.4 ° S. (depending on how you rounded).

There is a common misconception that distance & displacement are simply two different terms for the same thing. But separation separates the concepts of distance and displacement. The total distance covered by an object is always larger than the movement between those two sites, even if it changes direction throughout the course of its voyage.

The smallest (straight line) length between a body's starting position and its final location—represented by an arrow pointing from starting spot to final position—is referred to as a brain's displacement when it moves through one position to another.

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Answer:

Explanation:

charge on each proton = 1.6 x 10⁻¹⁹ C

mass of proton = 1.67 x 10⁻²⁷ kg

Electrostatic force of repulsion Fe = 9 x 10⁹ x ( 1.6 x 10⁻¹⁹ )² / d²

= 23.04 x 10⁻²⁹ / d²

Gravitational  force of attraction = G Mm / d²

M = m = 1.67 x 10⁻²⁷ kg

Gravitational  force of attraction  Fg = 6.67  x 10⁻¹¹ x ( 1.67 x 10⁻²⁷ )² / d²

= 18.60 x 10⁻⁻⁶⁵ / d²

So Fg is far less than Fe and former is attractive , later is repulsive .

Fe > Fg, opposite direction , is the answer .

All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.

In terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.

In conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.

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The solubility of a substance in a solvent is affected by many factors, including temperature. In general, increasing the temperature of a solvent increases the solubility of a solute in that solvent. This relationship is known as the temperature-solubility relationship.

There are a few different ways in which temperature can affect solubility, depending on the specific solute and solvent in question. For example:

For most solid solutes in liquid solvents, increasing the temperature of the solvent will increase the solubility of the solute. This is because increasing the temperature generally increases the kinetic energy of the solvent molecules, which in turn makes it easier for them to break apart the intermolecular forces holding the solute together and form new solute-solvent interactions.

In some cases, however, the opposite may be true: the solubility of a solute in a solvent may decrease with increasing temperature. This is often observed for gases dissolved in liquids, where increasing the temperature decreases the solubility of the gas. This is because increasing the temperature of the liquid also increases the kinetic energy of the gas molecules, making them more likely to escape from the liquid and form a gas phase.

In rare cases, the temperature-solubility relationship may be more complex and exhibit unusual behavior. For example, for some solutes, the solubility may initially increase with temperature but then decrease at higher temperatures.

Overall, the relationship between temperature and solubility is an important consideration in many chemical processes, including crystallization, precipitation, and dissolution. Understanding this relationship can help scientists and engineers optimize their processes and achieve their desired outcomes.

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A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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Explanation:

momentum = mass × velocity

mass = 9.11 × 10^-31

velocity = 0.8725 multiplied by c ( which is the speed of light )

therefore velocity = 0.8725 × 3 × 10^8 = 2.6175 × 10^8 m/s

\(m = 9.11 \times 10 {}^{ - 31} \times 2.6175 \times 10 {}^{8} \)

\(m = 9.11 \times 2.6175 \times 10 {}^{ - 31 + 8} \)

\(m = 23.85 \times 10 {}^{ - 23} kgms {}^{ - 1} \)

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Direct axis and quadrature axis components of armature current are 30.28 A and 46.92 A respectively, and the excitation voltage of the generator is 765.36 V.

Given:

Apparent power (S) = 10 KVA = 10,000 VA

Line voltage (V) = 380 V

Frequency (f) = 50 Hz

Xd = 12 ohms

Xq = 8 ohms

Ra = 1 ohm

Power factor (pf) = 0.8 lagging

Load angle (δ) = 16.15 degrees

(i) Armature current's direct axis and quadrature axis components

We know that the apparent power is given by S = 3VLILcos(φ), where VL is the line voltage, IL is the line current, and φ is the angle between them. For a star-connected alternator, line voltage is equal to phase voltage, so we can write:

S = 3Vphase Iphase cos(φ)

Iphase = S / (3Vphase cos(φ))

For a lagging power factor, cos(φ) = 0.8, so

Iphase = 10,000 / (3 x 380 x 0.8) = 10.46 A

The direct axis component (Id) and the quadrature axis component (Iq) make up the armature current.  Using the given values of Xd, Xq, and Ra, we can calculate these components as follows:

Id = (VL - IaRa) / Xd

Iq = (VL - IaRa) / Xq

where Ia is the magnitude of the armature current, which is equal to the magnitude of the line current divided by √3. Thus,

Ia = Iphase / √3 = 10.46 / √3 = 6.03 A

Substituting the given values:

Id = (380 - 6.03 x 1) / 12 = 30.28 A

Iq = (380 - 6.03 x 1) / 8 = 46.92 A

(ii) Excitation voltage of the generator:

The excitation voltage (E) of the generator is given by:

E = Vphase + IqXq

Substituting the given values:

E = 380 + 46.92 x 8 = 765.36 V

Therefore, the direct axis and quadrature axis components of armature current are 30.28 A and 46.92 A respectively, and the excitation voltage of the generator is 765.36 V.

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