if the radius of the hill is 30 meters, at what speed would the centripetal force equal the force of gravity

The charge is equal to the Q= 1.3×10^-4 c. Electric charge is the property of matter that causes it to experience a force when subjected to an electromagnetic field.

In science, "force" refers to a certain concept. At this point, describing a force as a push or a draw is quite acceptable. It's incorrect to say that a thing "has in it" or "contains" the force. A force is experienced by one thing from another. The concept of a force makes no distinction between living creatures and inanimate objects.

Coulomb's inverse-square law, also referred to as Coulomb's law, is an experimental scientific concept that calculates the force between two stationary electrically charged particles. The electric force that exists between two charged objects at rest is known by the terms electrostatic force and Coulomb force.

F = (k ×Q1× Q2)/r^2

F = 300 N

r = 20 m

k = 8.987× 10^8 Nm^2/c^2

given Q1 =Q2 = Q

300= (8.987× 10^8× 2Q)/400

Q= 1.3×10^-4 c

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A) The weight of the orange is 2.4N and B) It takes 1.542s  for the orange's momentum to change by 6. 1 kg·m/s.

Weight is the measure of the force of gravity on an object. It is a measure of the amount of matter present in an object and is measured in units such as kilograms, pounds, or ounces. Weight is the same no matter where an object is located, as gravity is a universal force. Weight is different than mass, which is the amount of matter in an object regardless of gravity. Mass is measured in kilograms, grams, or other metric units. Weight can be calculated by multiplying an object's mass by the acceleration due to gravity.

(a)

The rate of change of the momentum of any object is equal to the force acting on the object.

The orange is free falling so the force acting on the orange will be equal to to weight of the orange.

Then, the weight of the orange is 2.4N.

(b)

Given the initial momentum is 2.4 kg·m/s2

Calculate the time required for the oranges momentum to change by 6.1 kg·m/s,

W × t

= final momentum - initial momentum

= 6.1 - 2.4(t)

= 1.542s

Thus,  The weight of the orange is 2.4N and It takes 1.542s  for the orange's momentum to change by 6. 1 kg·m/s.

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The period of small oscillation 12 kg of mercury that poured into a glass tube u with an inside diameter of 1.0 cm mercury can flow without friction in the tube. (The density of mercury is 13.6 x 10³ kg/m³) = 4.61 s

The mercury column's unbalanced weight of 2x is what provides the restoring force when the mercury is moved x meters from its equilibrium location in the right arm.

Weight = v x ρ x g

= (2πr²) x (13.6 x 10³) x (12 x 10⁻⁶ m³)

= 1.13 x 10³ kg/m³

Since Hooke's rule is true and the restoring force = - (2r2 g) x, we can see that the system's effective spring constant is:

k = (2πr²) (ρ) (g)

= 2π (0.005)² (13.6 x 10³) (9.8)

= 20.92 N/m

So, the period:

T = 2π[tex]\sqrt{\frac{m}{k} }[/tex]

= 2π [tex]\sqrt{\frac{1.13(10^{3} )}{20.92} }[/tex]

= 4.61 s

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gh the surface S1.

B) Find the net electric flux passing through the surface S2.

C) Find the net electric flux passing through the surface S3.

D) Find the net el

Using Gauss Law, the flux through a surface, \phi = charge enclosed inside the surface/ \epsilono. So, for surface S2 net electric flux is 2.25*10^5 Wb.

for surface s2 - phi = (q1 + q2 - q5)/(8.854*10^-12) = (4.6+10 - 8)*10^-6/(8.854*10^-12) = 7.45*10^5 Wbc). flux = (q2+q3 -q6)/(8.854*10^-12) = ( 10 + 1 - 9)*10^-6/(8.854*10^-12) = 2.25*10^5 Wb

d)flux = (q4-q5)/(8.854*10^-12) = (8-8)/(8.854*10^-12) = 0

e) flux = (q1+q2+q3+q4 - q5 - q6)/(8.854*10^-12) = (4.6 + 10 + 1 + 8 - 8 - 9)*10^-6/(8.854*10^-12) = 7.45*10^5 Wb. Gauss's Law is a fundamental principle in physics, particularly in the study of electromagnetism. It states that the total electric flux through a closed surface is equal to the electric charge enclosed within the surface, divided by the permittivity of free space. Mathematically, it can be written as: Φ = ∫ E . dA = Q/ε. Where Φ is the electric flux, E is the electric field, dA is an infinitesimal surface element, Q is the total electric charge enclosed within the surface, and ε is the permittivity of free space.

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The excess electrons does she get is 2.625 10^ 14 and her mass increase is 2.388 x 10^-16 Kg.

A new experimental method called accumulated charge measurement (ACM) uses a metal-insulator-semiconductor-metal (MISM) capacitor to assess the charge injection barrier at the semiconductor-metal interface.

Number electron => charge / charge of electron

                        => -42 mc/-1.6 x 10^-19

                       => 2.625 10^ 14 excess electron

Mass of her = mass of 1 electron x excess electron

                     9.1 x 10^-31 kg x 2.625 x 10^14

              => 2.388 x 10^-16 Kg

For instance, if there are too many electrons in our bodies, they will escape as soon as we come into contact with a positively charged object, trapping us. We are so electrically charged during this process that breaking down air molecules even when we are only an inch away results in a violent shock.

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According to the question: The lamp should be placed 11 cm from the mirror.

Mirror is an object which reflects light in such a way that images of nearby objects are visible. It is a surface which can reflect light in an exact way. Mirrors are used for various purposes like for making up, for decorating a room, for security purposes, and also for various scientific experiments. Mirrors are usually made up of two pieces of glass which are either flat or curved with a reflective coating on one side.

This coating is usually made up of metal, such as silver, and is highly reflective. Mirrors can also be made up of other materials such as plastic and other metals. By reflecting light, mirrors can help to create illusions and also create an optical illusion.

This is because the distance between the mirror and the lamp should be equal to the sum of the focal length of the mirror (15 cm) and the distance between the patient and the mirror (1.0 m). Therefore, the distance between the mirror and the lamp should be 1.0 + 15/100 = 2.15 m.

Use the thin lens equation to solve this

(1/s)+(1/s prime)=(1/f)

You are looking for the s value, which is the lamps distance from the mirror. s prime is the distance to the patient, and f is 10 cm.

(1/s)+(1/1.1)= (1/0.1)

= 11.000001 cm

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The ball's mass with a terminal velocity of 28 m/s is found to be 2.54Kg.

An object falling through a fluid at its greatest speed is said to have reached its terminal velocity. When the combined drag and buoyancy forces are equal to the force of gravity pulling the object downward, it is observed. Since there is no net force exerted on the object, there is no acceleration of the object.

Terminal velocity v = Sqrt(2mg/ρAC)

drag co-effiecient of sphere (ball) C = 0.47

  => Ball's mass m= v2 x ρAC/2g

                        => 28^2 x 1.2 x 4 π (6.5 x 10^-2)^2/ 2 x 9.8

                       => 2.54Kg

A dimensionless quantity called the Drag Coefficient (Cd) is used to measure an object's resistance to movement through a fluid. It enables aerodynamics to simulate how shape, inclination, and flow characteristics affect aerodynamic drag

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A 6.5-cm-diameter ball has a terminal speed of 28 m/s. What is the ball's mass? Use ρ=1.2 kg/m3 for the density of air at room temperature.

The correct mathematical relationship for the two times is Option B: TE = √gM/gE . TM.

Gravity is a natural phenomenon that causes objects with mass to be attracted to one another. It is one of the four fundamental forces in nature and is responsible for the formation and structure of galaxies, stars, and planets. Gravity is experienced as a force pulling objects towards each other. The strength of gravity depends on the distance between two objects, as well as their masses.

This is because the acceleration due to gravity is inversely proportional to the time taken for an object to fall. The equation for this is:
Time = √2*Distance/Acceleration.
Therefore, if we substitute the values for the Moon and Earth in this equation, we get:
TE = √gM/gE . TM
where gM and gE are the accelerations due to gravity on the Moon and Earth, respectively, and TM and TE are the times taken for the object to reach the Moon's and Earth's surfaces, respectively.

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11223.9J or 11.2239 kJ is the total internal energy of the gas.

Internal energy, which results from the motion of matter at the molecular level, is a type of energy that exists in all systems. For internal energy, the letter U is used, and the joule is the unit of measurement (J).

As a substance changes from one state or phase to another—from solid to liquid to gas—its internal energy also rises. It is possible to imagine planetary bodies as a fusion of heat engines and heat reservoirs.

The heat engines transform some of the thermal energy stored in the heat reservoirs into different forms of mechanical, electrical, and chemical energy.

The formula for total internal energy of gas is

(3/2)nRT

where n = amount of substance

R = Ideal gas constant

T = temperature

Put the value in the equation

(3/2)nRT

= (3/2)(3)( 8.314)(300)

= 11223.9J

Thus, 11223.9J or 11.2239 kJ is the total total internal energy of the gas.

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If mass of an object become three times of its initial mass then velocity of the object reduced and has value 11.547 m/s in order to conserve kinetic energy.

Kinetic energy is a type of energy that is present in a particle or object in motion. When work, which includes the transfer of energy was done on an object by applying a net force, that object acquired kinetic energy.

Case 1 -

Mass of object (m1) = 300

velocity of object (v1) = 20 m/s

Kinetic energy = 1/2 m × v²

Kinetic energy = 1/2 × 300 × 20²

Kinetic energy = 60000 J

Case 2 -

Mass of object (m2) = 3 × 300

= 900 m/s

velocity of object (v2) = v2 m/s

Kinetic energy = 1/2 m × v²

60000 = 1/2 × 900 × v²

133.33 = v²

v = 11.547 m/s

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When two objects of different masses are subjected to a force of the same strength, the one with less mass will experience a higher change in velocity.

Each object pulls the other when two objects come into contact. Imagine using a bat to strike a softball. The ball is pushed away by the bat when it collides with it. The bat experiences force from the ball as well.

Even if two colliding objects have masses that are very different from one another, they will nevertheless exert equal forces on one another. An object always experiences an impetus and a shift in momentum during a collision. The impulse that an object encounters during a collision is equal to its variation in speed.

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If a marble is launched at a speed of 9 m/s at an angle of 25° above the horizontal. If the experiment is done on a level floor, then The distance that  the  marble will  land if friction is neglected is: C. 6.33 m.

Given data:

Speed = 9m/s

Angle = 25°

Now let find the  distance the  marble will  land if friction is neglected

Range = v²  sin(25 × 2)/g

Range = (9 m/s)² × sin 50 / g

Range =(81 m/s²  × 0.766044) / 9.8 m/s²

Range = 62.049564 m/s² / 9.8 m/s²

Range = 6.3315m

Range = 6.332 m (Approximately)

Therefore we can conclude that the correct option is C.

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To raise my grade in mathematics, I am working diligently, although this is not research in the traditional sense. In this illustration, the person is expending mental energy to study arithmetic, but no practical labor

Unquestionably, nuclear energy seems to have the largest nameplate capacity compared to any other source of energy.

According to biology, the food we consume gives our bodies energy. Carbohydrates, lipids, & proteins are the three fuel types from which this energy is derived. Your body metabolizes the food you consume and absorbs this into your blood so that your cells may use it as fuel.

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A proton and an alpha particle are momentarily at

rest at a distance y from each other. They then

begin to move ap

the speed of the proton (Ur )p by the time the distance between the particles doubles is  (e / (m * y)) * √(2/πε)

The speed of the proton can be found by using the conservation of mechanical energy. The initial potential energy between the proton and the alpha particle is given by: Ui = (1/4πε) * (2e * e)/y. As the distance between the particles doubles, the final potential energy is given by: Uf = (1/4πε) * (2e * e)/(2y) Using the conservation of mechanical energy, we can write:Ui + Ki = Uf + Kf Where Ki is the initial kinetic energy and Kf is the final kinetic energy. Since the particles are momentarily at rest, Ki = 0. Also, Kf = (1/2) * m * Ur^2. where Ur is the speed of the proton. We can substitute these values into the equation for the conservation of mechanical energy:(1/4πε) * (2e * e)/y = (1/2) * m * Ur^2 + (1/4πε) * (2e * e)/(2y) Solving for Ur, we get: Ur = (e / (m * y)) * √(2/πε). This is the final velocity of the proton when the distance between the proton and the alpha particle doubles.

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According to the question, The change in sea level due to tides which are primarily the result of the Earth's rotation and Moon's revolution.

Ocean waves called tides go great distances. They result from the earth's gravitational pull from the moon and, to a slightly lesser degree, the sun. A shore encounters a tide when the wave's highest point, or the topping, reaches it.

Tides are extremely long-period waves that travel across the water as a result of the moon's and the sun's gravitational pull. The rise and decline of the sea's surface on a regular basis is what tides, which originate in the ocean, appear as as they move toward the coastlines.

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(1) When a science teacher talks about a machine’s efficiency, she is  comparing the useful energy put out by the machine and the energy put into the machine. (option A ).

(2)  The pulley could be made more efficient by using a longer rope or cable. ( option B ).

The efficiency of a machine is defined as the ratio of output work to input work. Efficiency of a machine describes how a machine converts input energy or force into useful work or energy.

Mathematically, the formula for the efficiency of a machine is given as;

Eff = ( output force / input force ) x 100%

Eff = ( effort x distance moved by effort ) / ( load x distance moved by load ) x 100%

Thus, by increasing the distance travelled by the effort, the efficiency of the pulley or machine will be increased.

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The highest deviation of the item from equilibrium, measured either in the positive or negative x-direction, is called the oscillation's amplitude, or A.

When the velocity reaches zero, the maximum displacement happens. (Why? You have the option of thinking physically or mathematically.) Additionally, the derivative of the velocity with respect to time is the acceleration. x(t) equals A cos(t + a).

The highest deviation of the item from equilibrium, measured either in the positive or negative x-direction, is called the oscillation's amplitude, or A. Repetitive harmonic motion is simple. The length of time (period T) required for an object to complete one oscillation and return to its initial position

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An object moving at a constant pace travels 5 meters in the first second; thus, it travels 45 meters in the third second.

The measurement of such a change in the speed called acceleration. Acceleration frequently, though not always, denotes a shift in speed. A thing that moves in a circle at a constant speed has still been moving forward since the direction of the motion is changing.

Calculation

the object starts from rest i.e. initial velocity, u = 0

and have uniform acceleration.

S = 5m and t = 1s

According to the formula of distance,

S = ut + 1/2 at²

5 = 0×1 + 1/2 a×1²

5 = 1/2a

a = 10m/s²

again, t = 3s

now, v = u + at

v = 0 + 10×3

v= 30m/s

Now, 2aS = v²-u²

2aS = 30²-0

2×10×S = 900

S= 900/20 = 90/2

S = 45m

Thus, the distance traveled by the body in 3rd second is 45m .

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A box rests on a horizontal, frictionless surface. A girl pushes on the box with a force of 18 N to the right and a boy pushes on the box with a force of 12 N to the left. The box moves 4.0 m to the right. Find the work done by (a) the girl, (b) the boy, and (c) the net force.

Explanation:

Find the work done by (a) the girl, (b) the boy, and (c) the net force.

a-b=c

18 N - 12 N = Net Force 6

The answer to Net Force of 6 to the right

If you apply twice as much force to an item while keeping the distance the same, the quantity of effort is allegedly doubled.

In science, the word "force" has a particular definition. Considering a forces a pull or just a pull is perfectly suitable at this level. Charges are not components that an object "would have in it" or "contains." A force is applied to one item by another.

Forces are generated by contacts between two or more objects. There is an equal and conflicting force acting on each individual on the other. External forces are what cause the item to move. This force has really no impact on the object's overall motion.

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In order to determine the distance from the student that the lightning strike occurred, you would need additional information, such as the time it took for the sound of the strike to reach the student. Without that information, it is not possible to calculate the distance of the lightning strike.

This can be calculated by dividing the distance (speed of sound x time) by the speed of sound, which is 343m/s. Once the time is known, the distance can be calculated by multiplying the time by the speed of the sound. It is not possible to determine the distance from the student to the lightning strike.

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Answer:

Writing Electron Configurations. When writing an electron configuration, first write the energy level (the period), then the subshell to be filled and the superscript, which is the number of electrons in that subshell. The total number of electrons is the atomic number, Z

The kinetic energy of the satellite when it has been moved and it enters a new circular orbit of radius 2r is K₁/2.

Centripetal force is equal to mass times velocity squared over radius (Fc = mv²/r). Gravity is equal to gravitational constant times the product of masses of two objects over distance squared (Fg = GMm/r²). The centripetal force on the satellite is provided by the gravitational pull by the earth, so Fc = Fg.

Kinetic energy, the energy acquired by a moving object, is equal to one half of a mass times velocity squared (K = mv²/2).

Fc = Fg gives the equation mv²/2 = GMm/2r. As you can see, the kinetic energy K of the satellite is inversely proportional to radius or distance r. Therefore, K decreases by a factor of 2 when r increases by a factor of 2, and K₁/2 = 2r.

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The force from the motorbike's engine is equal to the mass multiplied by the acceleration, or 220 kg x 5 m/s² = 1,100 N.

What is mass ?

Mass is the amount of matter or material in an object. It is measured in kilograms (kg) or pounds (lbs). Mass is different from weight, which is the measure of the force of gravity on an object. Mass is a property of an object that is independent of its location in space, whereas weight is a measure of the force of gravity on an object and therefore is dependent on its location.

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The wave speed on the string is 82.0m/s. The maximum wavelength for a standing wave is 16.8 m. That wave's frequency is 4.88Hz.

(a) V=[tex]\sqrt{\frac{T}{\mu} } =\sqrt{\frac{96}{\frac{0.12}{8.4} } }[/tex]  = 82 m/sec

(b) for the lowest possible wavelength,

λ/2=l

λ=2l=2×8.4=16.8m

(c) V=fλ=v/λ=82/16.8=4.38Hz

the separation between the corresponding points of two successive waves is known as the wavelength. Two points or particles that are "corresponding points" are those that have finished the same fractions of their periodic motion and are in the same phase. Ordinarily, the wavelength of transverse waves—those with points vibrating perpendicular to the direction of their advance—is calculated from crest to crest or from trough to trough; for longitudinal waves—those with points vibrating parallel to the direction of their advance—the wavelength is calculated from compression to compression or from rarefaction to rarefaction. The Greek letter lambda () is commonly used to represent a wave's length. Wavelength is defined as the product of the speed (v) and frequency (f) of a wave train in a given medium.

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The Moon's gravity is roughly 1/6 that of the Earth's. An astronaut who weighs 180 pounds on Earth would weigh roughly 30 pounds on the Moon, for instance.

For instance, the astronauts on the International Space Station are located around 400 kilometers (250 miles) above the Earth's surface. The acceleration caused by Earth's gravity is just slightly less at their elevation than it is at the surface of the planet: 8.7 m/s2 as opposed to 9.8 m/s2, a decrease of only around 12%.

(B) An astronaut in space does experience weightlessness because the force of gravity cannot be resisted by a ground or normal force. The astronaut is thus falling. The astronaut, however, falls continually around the Planet rather than colliding with it since they are both going extremely quickly.

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After being pushed by an adult, the child and his bike develop momentum at a rate of 24.68 Kg-m/s.

momentum is the result of a particle's mass and velocity. Being a vector field, momentum includes both magnitude and the direction. As per Isaac Newton's second equation of motion, the force applied on the a particle is equal to the time change in momentum.

the solution is

given Net force F= 6.17 N

time t= 4.00 s

from Formula

Momentum = force × time

Momentum = 6.17 × 4 Kg-m/s

Momentum= 24.68 Kg-m/s

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True, the speed of individual particle diffusion is influenced by temperature and particle size, not by concentration.

Prolixity is the tendency of motes to spread out in order to enthrall an available space. feasts and motes in a liquid have a tendency to diffuse from a more concentrated terrain to a lower concentrated terrain. Passive transport is the prolixity of substances across a membrane. This is a robotic process and cellular energy isn't expended. motes will move from where a substance is more concentrated to where it's less concentrated. The rate of prolixity for different substances is affected by membrane permeability.

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In order to cause the platform to rotate around her mass, m=54.51 kg, a youngster initially standing stationary next to the merry-go-round jumps onto the edge of the platform straight toward the axis of rotation.

The moment of inertia gauges an object's resistance to variations in rotational motion. A body's resistance to changes in rotation is measured by the moment of inertia of its cross-section.

One of the numerous mass qualities that describes an object's stability and the forces required to change its motion is the moment of inertia (MOI). Stability is a key component in the design and manufacture of air and spacecraft in aeronautical engineering.

Iω₁+0= (I + mR²)ω₂

1230×1.72+0= (1230+m×(2.7)²×1.30)

                 m= 54.51 kg

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The direction of forces during a collision can be inferred grounded on the haste change of each object. The forces acting on the objects are equal in magnitude and contrary in direction in elastic collision. But on the other hand, the forces acting on the objects aren't equal in magnitude in inelastic collision and the direction of the forces is also towards the centre of mass.

Collision means two objects coming into touch with each other for a veritably short period. It's a repaying commerce between two millions for a veritably short interval wherein the instigation and energy of the colliding millions change.

A impeccably elastic collision is defined as a collision in which there's no loss of kinetic energy. An inelastic collision is one in which kinetic energy is changed to some other form of energy in the collision.

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