In a certain lab experiment, a spring gun was placed on a table and fired steel ball horizontally outward. A student determines that the ball starts 1.0 m above the floor and travels 2.7 m before striking the floor.

(a) Determine the time that the ball is in the air.

(b) Determine the initial velocity of the ball.

Show your work.

If pressure has to be decreased the height of the piston needs to be increased which will increase volume of gas eventually decreasing the pressure.

The thrust (perpendicular force on a surface) acting per unit area of a body is referred to as pressure. It can be stated mathematically as follows: Pascal is the SI unit of pressure (Pa). One Pascal is the amount of pressure one Newton of force applies to a square inch of space. Additionally, 1 P a = 1 N / m 2. In the International System of Units, pressure or stress is measured in pascals (Pa) (SI). It bears Blaise Pascal's name, a mathematician and physicist. Applied force of one newton (N) per square metre is equal to one pascal (P) (m2).

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The force applied in the first case is 9200 N. In the second case, the force applied is less than the maximum force, so the groceries remain in the bag. The acceleration in the last case is 15 m/s².

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction. The term "force" has a specific meaning in science. At this level, it is perfectly acceptable to refer to a force as a push or a pull. A force is not something that an object possesses or possesses. Another object applies a force to another. The concept of a force is not restricted to living or non-living things.
Here,

1. F=ma

m=4600 kg

a=2 m/s²

F=4600*2

=9200 N

2. Fₙ=250 N

m=20 kg

a=5m/s²

F=20*5

=100 N

F<Fₙ

Yes, The groceries will stay in bag.

4. Fₙ=30000 N

n=20

mₙ=75*20

=1500 kg

mₓ=500 kg

m=1500+500

=2000 kg

F=ma

30000=2000*a

a=15 m/s²

For first case, the force exerted is 9200 N. For second case, the force exerted is less than maximum force so the  groceries will stay in bag. For last case, the acceleration is 15 m/s².

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A small wooden cylinder drops down onto the water surface. The resulting motion on the surface of water splash, then start to sink, displacing a volume of water equal to its own volume.

In physics, motion refers to the change of position of an object with respect to its surroundings over time. If an object's location varies in relation to a reference point, it is said to be in motion.

There are various types of motion, including:

Circular motion: This is motion in a circular path. An example of this is a wheel spinning on an axle.

Periodic motion: This is motion that repeats itself in equal intervals of time. An example of this is a swing that goes back and forth.

Random motion: This is motion that is unpredictable and does not follow a regular pattern. An example of this is the motion of a molecule in a gas.

Relative motion: This is motion that is described as the movement of an object with respect to another object.

All of these types of motion have different characteristics and can be described and analyzed mathematically using laws of motion and other principles of physics.

When a small wooden cylinder drops onto the surface of water, it will initially create a splash as it impacts the surface. The splash will create a disturbance in the water surface, causing ripples to spread outwards from the point of impact.

The wooden cylinder will then start to sink, displacing a volume of water equal to its own volume. As the cylinder sinks, it will continue to create ripples on the surface of the water, with the amplitude of the ripples decreasing as the distance from the point of impact increases.

Once the wooden cylinder sinks to the bottom, the motion on the surface of the water will cease and the ripples will dissipate.

It's worth noting that this motion on the surface of the water will depend on the factors such as the size, shape, density, and velocity of the wooden cylinder, and on the viscosity and surface tension of the water.

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The terms specific to the observer are e, f, and g. The ecliptic is the path that the Sun appears to follow across the sky throughout the year as viewed from Earth.

The horizon is an imaginary line that marks the point where the sky and the Earth's surface seem to meet. The zenith is an imaginary point directly overhead from the observer's location.

The celestial equator is an imaginary line that runs around the celestial sphere, dividing it into two hemispheres. The north celestial pole is the point directly above the observer's north horizon. The nadir is an imaginary point directly below the observer's location.

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Consider a "unit area" of 1 square inch. At sea level, the mass of air above the unit area (on average) would weigh 14.7 pounds. This means that the pressure applied by this air to the area of ​​the unit would be 14.7 pounds per square inch.

The height above sea level is known as altitude. Altitude causes a drop in air density. There are two causes for this: less air is forced upward at greater altitudes, and gravity is weaker the further one gets from the centre of the Earth. As a result, the air density drops at higher elevations where the air molecules can spread out more.

Mass per unit volume is density. How closely the molecules get packed together determines the density. The density increases with their proximity to one another. Because air is a gas, the molecules can either be closely packed or widely spaced.

Unless it's moving, we rarely sense the air around us. But air shares many fundamental characteristics with other matter. Air, for instance, has mass, volume, and density.

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Consider a "unit area" of 1 square inch. At sea level, the mass of air above the unit area (on average) would weigh 14.7 pounds. This means that the pressure applied by this air to the area of ​​the unit would be 14.7 pounds per square inch.

The height above sea level is known as altitude. Altitude causes a drop in air density. There are two causes for this: less air is forced upward at greater altitudes, and gravity is weaker the further one gets from the centre of the Earth. As a result, the air density drops at higher elevations where the air molecules can spread out more.

Mass per unit volume is density. How closely the molecules get packed together determines the density. The density increases with their proximity to one another. Because air is a gas, the molecules can either be closely packed or widely spaced.

29.92 × Hg 1.0 atm = 101.325 kPa = 1013.25 mb

⇒ 1013.25/68.89

=  14.7 pounds per square inch

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With a top speed of 411 km/h, Howard's sweet ride can accelerate from 0 to 320 km/h in just 12.6 seconds. It acceleration at 32,683.333 m/s2, in m/s.

To find the acceleration of Howard's sweet ride, we can use the equation:

Acceleration = (final velocity - initial velocity) / time

Given the final velocity as 411 km/h = 411,000 m/h and initial velocity as 0 m/s and time of acceleration as 12.6 seconds.

Acceleration = (411,000 m/h - 0 m/s) / (12.6 s) = 32,683.333 m/s^2

So the acceleration of Howard's sweet ride is 32,683.333 m/s^2.

It is worth noting that the units must be consistent, it is better to convert km/h to m/s before calculating the acceleration, to get the accurate result.

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The process by which plants use light energy and convert it into biochemical energy is called photosynthesis.

Photosynthesis is a biological process that converts light energy from the sun into chemical energy stored in organic compounds (such as glucose), primarily through the actions of chlorophyll pigments found in plant chloroplasts. It occurs in plants, algae, and some bacteria and is the primary process that provides energy for life on Earth. Photosynthesis is a complex series of reactions that result in the production of glucose (sugar) and the release of oxygen as a by-product.

The process by which plants use light energy and convert it into biochemical energy is called photosynthesis. Photosynthesis is the process by which green plants, algae, and some bacteria convert light energy into chemical energy stored in organic molecules such as glucose. During photosynthesis, carbon dioxide from the air is taken in by the plant and combined with water to produce glucose and oxygen. The glucose produced through photosynthesis serves as the plant's food and energy source, while the oxygen is released into the atmosphere as a by-product. This process of photosynthesis plays a critical role in the carbon cycle, as it helps to remove carbon dioxide from the atmosphere and store it in the biosphere in the form of organic matter.

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The image is labelled as: a. crest b. wavelength c. amplitude d. through

The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength. This length is typically specified in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm). The distance between two successive crests or troughs of a wave is defined as its wavelength. It is measured in the wave's direction. The Greek letter lambda () is commonly used to represent wavelength. The term wavelength is also applied to modulated waves, as well as their sinusoidal envelopes or waves formed by the interference of several sinusoids.

Here,

The image has the following labels: a. crest b. wavelength c. amplitude d. through

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The options are (a) False (b) True (c) False (d) False for closed system.

A system that interacts with the outside world is an open system. Depending on the field that defines the term, these interactions can involve the transfer of information, energy, or materials into or out of the system border. A closed system is a naturally occurring physical system that forbids the movement of matter into or out of the system; nevertheless, the movement of energy is permitted in situations involving physics, chemistry, or engineering. A thermos can be thought of as a closed system as only energy can enter or exit it, but no matter can because it won't spill. In thermodynamics, open systems enable both matter and energy to enter and exit.

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The Scientific Method Review name is HOMER and it stands for :

Observations and inquiries are a part of the scientific method. Based on these findings, scientists generate hypotheses, which are followed by controlled experiments for data collection and analysis. They can make judgments and formulate questions for future scientific research using this data.

The abbreviation HOMER is intended to cover all of the actions that should be taken while doing a scientific method review. The first step is to formulate a hypothesis.

The second step is to operationalize this theory and see whether it is viable. The results of this research must next be evaluated after being measured. The test should then be repeated, the findings revised, and a report should be written.

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By taking the product of intensity and area, the energy is transferred to each ear drum. The energy reached per second is ∅= tan⁻¹[tex]({\frac{FX}{FC})[/tex]

The energy transferred to each eardrum in 1 second is related to the sound intensity and the area of the eardrum. At a distance of 30 m from the loudspeakers, the sound intensity is 0.0011 W/m² as we calculated before.

The area of an eardrum with a diameter of 8.4 mm is:

  A = (π/4) × (8.4 mm/2)² = 21.5 mm²

The energy transferred to each eardrum in 1 second is:

E = I × A × t = (0.0011 W/m²) × (21.5 mm²) × (1 s)

                          = 0.023 J/ear

So the energy transferred to each eardrum in 1 second is 0.023 J.

Energy is the ability to do work. It can take many forms, such as thermal energy, kinetic energy, potential energy, chemical energy, and more. Energy can be converted from one form to another, but the total amount of energy in a closed system remains constant (the law of conservation of energy). The unit of energy is the joule (J).

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It has been determined that the 31.8 kg mass experiences a net gravitational force of 1.129105 N from the two larger masses.

The absolute or relative direction or size of an object's motion in the sense of motion can be used to define magnitude. It is extensively utilized to convey something's size or scope. In physics, the term "magnitude" typically means "distance" or "quantity."

Take the right to be positive.  Sum of forces on the 31.8 kg mass:

∑F = GM₁m / r₁² − GM₂m / r₂²

∑F = G (M₁ − M₂) m / r²

∑F = (6.672×10⁻¹¹ N kg²/m²) (516 kg − 207 kg) (31.8 kg) / (0.482 m / 2)²

∑F = 1.129×10⁻⁵ N.

Repeating the same steps, the second part this time ∑F = 0 and we're solving for r.

∑F = GM₁m / r₁² − GM₂m / r₂²

0 = GM₁m / r₁² − GM₂m / r₂²

GM₁m / r₁² = GM₂m / r₂²

M₁ / r₁² = M₂ / r₂²

516 / r² = 207 / (0.482 − r)²

516 (0.482 − r)² = 207 r²

516 (0.232 − 0.964 r + r²) = 207 r²

119.9 − 497.4 r + 516 r² = 207 r²

119.9 − 497.4 r + 309 r² = 0

r = 0.295 or 1.315.

It is found that r can't be greater than 0.482, so r must be equal to 0.295 m.

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To calculate the magnitude of the force that would exactly counterbalance these three forces, we need to use the principle of vector addition. This involves combining the three forces vectorially to find the net force acting on the object.

First, we need to find the resultant of the two forces that are at an angle of 90 degrees to each other. This can be done using the Pythagorean theorem:

Resultant = √(25² + 12²) = √(625 + 144) = √769 = 27.74 N

Next, we need to find the net force acting on the object by adding the third force (4 N) to the resultant of the first two forces (27.74 N).

Net force = 4 N + 27.74 N = 31.74 N

Therefore, the magnitude of the force that would exactly counterbalance these three forces is 31.74 N.

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Answer:

300 kg x cm/s / 100 = 3 kg x m/s.

The slit spacing is 0.00865 mm, if a light of 632.8 nm wavelength is aimed at two slit placed 0.8 m from a screen.

The wavelength of the helium-neon laser, λ = 632.8 nm = 6.328 × 10⁻⁷ m.

The order of the bright line, n = 1

The distance between the screen and the slit, D = 0.8 m

Distance of the first order bright line, y = 58.5 mm = 58.5 × 10⁻³ m

Let the slit spacing, = d

We know Y = nλD/d

d = nλD/Y

d = (1 × 6.328 × 10⁻⁷ × 0.8)/(58.5 × 10⁻³)

d = 8.65 × 10⁻⁶ m

or d = 0.00865 mm

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Nuclear energy is often considered a clean energy source because it does not produce greenhouse gas emissions like carbon dioxide (CO2) during the generation of electricity.

Nuclear energy is the energy released by atomic nuclei as a result of nuclear reactions, either through natural processes like nuclear decay, or by the controlled release of energy through nuclear reactions, typically through nuclear fission or nuclear fusion. This energy is used to generate electricity in nuclear power plants, and also has other applications in military and medical fields.

Nuclear energy is often considered a clean energy source because it does not produce greenhouse gas emissions like carbon dioxide (CO2) during the generation of electricity. However, the production of nuclear fuel, including uranium mining and milling, can have significant environmental impacts. The disposal of nuclear waste also poses a challenge, as it remains radioactive for thousands of years and must be securely contained to protect the environment and public health. Additionally, the risk of nuclear accidents, although low, can have severe consequences for both the environment and human health. In summary, while nuclear energy is considered clean in terms of its operation, there are still significant environmental and safety concerns associated with its production and waste management.

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The image (i1) formed by the lens with a focal length of 40.0 cm is located 0.02 m to the right of the lens and has a height of 1.20 cm.

Lens is a curved piece of transparent material, typically made of glass or plastic, that is used to refract light in order to form an image.

a) The location and height of the image (i1) formed by the lens with a focal length of 40.0 cm can be determined using the lens equation.
1/f = 1/do + 1/di
Where f is the focal length, do is the object distance, and di is the image distance.
In this case,
f = 40cm
do = 50 cm
Solving for di, we get
1/di = 1/f – 1/do
= 1/40 – 1/50
= 0.04 – 0.02
= 0.02 m
Therefore, the image (i1) formed by the lens with a focal length of 40.0 cm is located 0.02 m to the right of the lens and has a height of 1.20 cm.

b) The location and height of the image (i2) produced by the second lens can be determined using the lens equation.
1/f = 1/do + 1/di
Where f is the focal length, do is the object distance, and di is the image distance.
In this case,
f = 60cm
do = 300 cm
Solving for di, we get
1/di = 1/f – 1/do
= 1/60 – 1/300
= 0.0167 – 0.0033
= 0.0134 m
Therefore, the image (i2) produced by the second lens is located 0.0134 m to the right of the lens and has a height of 0.60 cm.
This is the final image produced by the combination of lenses.

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The length of the string affects the pendulum's period such that the longer the length of the string, the longer the pendulum's period. T

How length of the string affects the time period of the oscillation?

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The statement is true that sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged.

The photoelectric effect is the mechanism by which light may remove electrons from metallic surfaces, making them positively charged. The photoelectric effect might cause the surface of a metallic spaceship circling in sunlight to become positively charged.

Measuring the electron's energy is necessary for the photoelectric effect. Vacuum is necessary if you want to perform this with electrons. Under atmospheric conditions, electrons collide violently with gas molecules and atoms and quickly lose energy, which is completely unacceptable. Vacuum is therefore necessary.

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If a block is moving to the left at a constant velocity, one can conclude that the net force applied to the block is zero. Thus, the correct option for this question is C.

Net force may be defined as the addition of all those forces that are significantly acting on an object. It can accelerate a mass. Some other force acts on a body either at rest or in motion.

The principle of the net force is utilized in a system when there is a significant number of forces are applied to the object. If an object is moving with constant velocity, then its acceleration must be zero. This can best be revealed, then look at Newton's second law. If the acceleration is zero, then the net force must also be zero.

Therefore, if a block is moving to the left at a constant velocity, one can conclude that the net force applied to the block is zero. Thus, the correct option for this question is C.

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Answer:BY opening it and closing it quickly to make a tiny bit of it come out

Explanation:

As the two socks are being spun too slowly, they are probably not going to stick together since the static charge would be too small to cause them to adhere.  

An imbalance in the charged particles of the thing is what causes static electricity, according to this definition. Until they are released or discharged, these charges remain on the object's surface. Static electricity is produced at the surface of the object as a result of these charges.

When a dryer's electricity supply is turned on, clothing spin faster and become stuck to one another, creating friction force between them. When the supply gets off, the spinner stopped its movement and the result is the static electricity that causes the socks to stuck together.

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The magnitude of the vector B is 42 units in the negative Y- direction, if it is added to a vector A of 24 units and giving resultant vector of 18 units.

Vector A magnitude, = 24 units

As it is perpendicular the x-axis so, x = 0

So the co-ordinate of the vector A head will be = (0, 24)

Resultant vector magnitude, = -18 units

As it is perpendicular the x-axis so, x = 0

So the co-ordinate of the vector A head will be, R = (0, -18)

A + B = R

B = R - A

B = -18 - 24

B = -42

The coordinate of the vector B, = (0, -42)

A negative sign indicates that the direction of the vector will be along the y-negative axis.

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(a) At a Lagrange point that is equally spaced from the Earth and the Moon, there is no net gravitational pull. (b) A single Lagrange point has a net force of zero due to two equal magnitude but opposing forces.

(a) At a location known as a Lagrange point, which is equidistant from both celestial bodies, the net gravitational pull of the Earth and the Moon on an item is zero. The mass of the object and the separation between Earth and Moon will determine the precise distance from the planet's core. (b) There are two locations where the Earth's and Moon's gravitational pulls are equal in strength, but only one location where the net pull is zero. This is due to the fact that although the forces' magnitudes are equivalent, their directions are in opposition, cancelling out at one place while adding up at the other. A Lagrange point is the location where there is no net gravitational force and a stable gravitational environment.

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Option D, molecules of the two gases separating to opposite ends of the balloon, can never occur spontaneously according to the second law of thermodynamics. This is because the law states that the entropy of a closed system will always increase over time, meaning that the gases would tend to become more mixed, not less.

The second law of thermodynamics is a fundamental principle in physics that states that entropy, or the measure of disorder and randomness in a system, will always increase over time. This means that energy will tend to flow from hot to cold, and that systems will tend to move towards a state of greater disorder, unless work is done to maintain or increase order. This law has important implications for the behavior of heat engines, the efficiency of energy conversions, and the fate of the universe.

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Molecules of the two gases separating to opposite ends of the balloon. So, correct option is D.

There are three laws that govern thermodynamics. They have a wide range of applications and can be helpful for all kinds of systems, provided that their operation involves the balance of energy and the transfer of matter. Examples of these applications go back to Einstein's theory of spontaneous emission at the turn of the 20th century, as well as the work being done right now on the thermodynamics of black holes.

The Thermodynamics' Zeroth Law. A relationship of equivalence is the thermodynamic equilibrium.

According to the Zeroth Law, two thermodynamic systems are in thermal equilibrium with one another if they are in thermal equilibrium with a third system.

Principle of Thermodynamics II (Entropy).

Any isolated thermodynamic system's total entropy (a measure of internal energy) tends to rise over time until it reaches a maximum value.

The Second Law of Thermodynamics puts out the idea that some processes have results that cannot be undone. For instance, once heat energy has been transformed into mechanical energy, it cannot be reversed; mechanical energy cannot be transformed back into heat once heat energy has been transformed into mechanical energy.

Absolute zero is the center of the Third Law of Thermodynamics.

Thermodynamics' Third Law (Absolute Zero Temperature).

All processes virtually stop as a system asymptotically approaches absolute zero in temperature, and the system's entropy asymptotically approaches a low value.

The Third Law of Thermodynamics supports the idea that a system loses all value and functionality when it reaches absolute zero.

According to the second law of thermodynamics, event D (molecules of the two gases separating to opposite ends of the balloon) can never occur spontaneously. This is because the law states that spontaneous processes tend to move towards a state of increased entropy or disorder, and the separation of gases would decrease the overall entropy of the system.

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Answer:

An electromagnetic wave with a wavelength of 4 x 10^-11 meters is in the X-ray band of the electromagnetic spectrum.

The electromagnetic spectrum is the range of all types of electromagnetic radiation, arranged according to wavelength or frequency. The different bands of the electromagnetic spectrum include:

radio waves

microwaves

infrared

visible light

ultraviolet

X-rays

gamma rays

X-rays have a wavelength range of around 10^-11 to 10^-8 meters. Therefore, the wavelength of 4 x 10^-11 meters falls within this range and is classified as an X-ray.

According to the problem the net charge on the sphere would be 0.

Net charge is the total electrical charge of an object when the electrical charges of its protons and electrons are added together. It is calculated by subtracting the number of electrons from the number of protons. Positively charged objects have more protons than electrons, so they have a net positive charge.

When the rod is brought close to the sphere, electrons from the rod will flow to the sphere to balance out the charge, resulting in the sphere becoming negatively charged. When the sphere is grounded, the excess charge will flow to the ground and the sphere will become neutral again. After the ground is removed and the rod is taken away, the net charge on the sphere will again be 0.

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The magnitude of the potential difference between two points located 1.2 m apart in a uniform 640 n/c electric field, if a line between the points is parallel to the field.

The magnitude of the potential difference (V) between two points in an electric field is the amount of energy required to move a unit charge from one point to the other. It is typically measured in units of volts (V) and can be calculated using the equation: V = E * d, where E is the electric field strength and d is the distance between the points. The direction of the potential difference can be determined by the direction of the electric field. The equal to the product of the electric field strength and the distance between the points.

Formula: V = E * d

V = 640 n/c * 1.2 m = 768 V

So the potential difference is 768 V.

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The answer to this question is b) fHe decreases.

When a pipe is stopped at one end, the frequency of the fundamental note is halved, resulting in a lower frequency of 280 Hz. This is because the pressure wave is reflected at the closed end, which reduces the length of the wave and therefore decreases the frequency. The equation used to calculate the frequency of a stopped pipe is fHe=v/2L, where v is the velocity of sound in air and L is the length of the pipe. Therefore, as the length of the pipe is reduced, the frequency of the fundamental note decreases.

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From the given options electrical force is most sensitive to the distance.

In electrostatics, the electrical force between two charged particles is inversely proportional to the distance of separation between the two particles. By Increasing the separation distance between particles, the force of attraction or repulsion between the particles can be decreased. And by decreasing the separation distance between particles, the force of attraction or repulsion between the particles can be increased.

As the distance between two charge particles are of atomic level, or we can say very small, as compared to the gravitational force or other force, so we can say that electrical forces are extremely sensitive to distance. A small change in the distance between the charged particles can cause major changes in the force between them.

Hence the correct option is B.

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