what is the speed uuu of the object at the height of (1/2)hmax(1/2)hmax ? express your answer in terms of vvv and ggg . you may or may not use all of these quantities.

Answer:

Approximately [tex]1.02\; {\rm m}[/tex].

Explanation:

Let [tex]\omega_{0}[/tex] denote the initial angular velocity, and let [tex]\omega_{1}[/tex] denote the final angular velocity. It is given that the initial angular velocity is [tex]\omega_{0} = 17.5\; {\rm s^{-1}}[/tex] and [tex]\omega_{1} = 0\; {\rm s^{-1}}[/tex].

Additionally, let [tex]a[/tex] denote the angular acceleration of this coin. It is given that [tex]a = (-1.66)\; {\rm s^{-2}}[/tex] (negative since angular velocity is slowing down.)

Let [tex]\theta[/tex] denote the angular displacement of the coin. Rearrange the rotational  SUVAT equation [tex]({\omega_{1}}^{2} - {\omega_{0}}^{2}) = 2\, a\, \theta[/tex] to find the angular displacement [tex]\theta[/tex]:

[tex]\begin{aligned}\theta &= \frac{{\omega_{1}}^{2} - {\omega_{0}}^{2}}{2\, a} \\ &= \frac{(0\; {\rm s^{-1}})- (17.5\; {\rm s^{-1}})}{2\, (1.66\; {\rm s^{-2}})} \\ &\approx 92.25 \; (\text{radians})\end{aligned}[/tex].

It is given that the diameter of the coin is [tex]d = 2.21\; {\rm cm} = 0.021\; {\rm m}[/tex].The radius of the coin would be [tex]r = (d/2) = ((0.021\; {\rm m}) / 2) = 0.0105\; {\rm m}[/tex].

The question is asking for the linear displacement of this coin. Under the assumptions, the linear displacement of this coin would be equal to the product of angular displacement (in radians) and the radius of the coin:

[tex]\begin{aligned}x &= r\, \theta \\ &= (0.0105\; {\rm m})\, (92.25) \\ &\approx 1.02\; {\rm m}\end{aligned}[/tex].

The speed of this particle v = 1.16 x 106 m/s

what is speed?

Speed is a measure of how quickly an object is moving. It is usually measured in units of distance traveled per unit of time, such as miles per hour (mph) or kilometers per hour (kph).

Given:

Mass (m) = 4.00 x 10-27 kg

Kinetic Energy (Ek) = 7.60 meV

Solution:

Mass-Energy Equivalence:

Ek = (1/2)mv2

Substituting the given values:

7.60 meV = (1/2)(4.00 x 10-27 kg)v2

Rearranging to isolate the variable:

v2 = (7.60 meV)(2/4.00 x 10-27 kg)

Taking the square root:

v = (√(7.60 meV)(2/4.00 x 10-27 kg))  

v = 1.16 x 106 m/s

Therefore, The speed of this particle v = 1.16 x 106 m/s

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Answer:

The Mechanical Advantage (MA) of a tool is the ratio of the output force to the input force. In the case of a screwdriver, the output force is the force applied to the tip of the screwdriver, and the input force is the force applied to the handle.

To calculate the MA of the screwdriver, we need to use the following formula:

MA = Output Force / Input Force = (Distance from the center to the outermost edge of the tip) / (Distance from the center to the outermost edge of the handle)

The radius from the center to the outermost edge of the tip of the screwdriver is 50.0 mm and the radius of the handle is 240 mm. To find the distance, we need to double the radius.

Distance from the center to the outermost edge of the tip = 2 * 50.0 mm = 100.0 mm

Distance from the center to the outermost edge of the handle = 2 * 240 mm = 480.0 mm

Now we can use the formula to calculate the MA:

MA = 100.0 mm / 480.0 mm = 0.208333

So the MA of the screwdriver is 0.208333. This means that for every 1 N of force applied to the handle, the tip of the screwdriver will exert 0.208333 N of force on the screw.

Explanation:

It is possible to measure a material's density by how closely it is packed. The mass per unit volume is how it is formally defined.

Examples of dense materials include iron, platinum, and lead. Dense material can be found in many different rock and mineral kinds. The relationship between a substance's mass and volume is what is referred to as its density. kilograms per cubic metre (kg/m3) is used to measure density in the SI system.

density = mass/ volume

rearranging formula we get

mass = density / volume

From the question

side of cube of gold = 2.50 g

volume of cube of gold = (2.50)³

Density = 19.3 g/cm³

Fill in the variables in the formula above to find the mass.

Mass is equal to 19.3 / (2.50)3 = 48.25.

Consequently, the gold cube's weight is 48.25 g.

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5) They experience the same size force. Both car and dump truck will experience the force of same magnitude. But, change in acceleration is greater for smaller car.

Collision is when two or more objects collide with each other, either directly or indirectly. In physics, collision is defined as the interaction between two or more bodies, where the total kinetic energy of the two bodies before the collision is greater than the total kinetic energy of the two bodies after the collision.

Collisions can involve two or more objects and can be elastic or inelastic. Elastic collisions involve objects that bounce off of each other and inelastic collisions involve objects that stick together after the collision. Collisions can also involve two or more particles, where the particles interact and exchange energy, momentum and angular momentum.

Both car and dump truck will experience the force of same magnitude. But, change in acceleration is greater for smaller car.

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Answer:

bal dB its Jack no jobs JDM idle dodo bridge jebel Jens Jay Hodge

The resultant force will be 50pound .

A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N).

We are given that,

F₁ = 40pound

F₂ = 30 pound

Fr = ?

The square root of the sum of the squares of the two forces can be used to determine the resultant of the two forces as follows,

Fr = √F²₁ + F²₂

Putting the value in above equation ,

Fr = √40² + 30²

Fr = √1600 + 900

Fr = 50pound

Therefore , the resultant force would be 50pounds.

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Answer:

The pot of boiling/hot water will cool at a faster rate than the same-size pot of lukewarm water left at room temperature. This is because the boiling/hot water has more energy than the lukewarm water and is thus more likely to transfer energy to its surroundings. When energy is transferred, the temperature of the pot of boiling/hot water will decrease, while the temperature of the lukewarm water will remain relatively unchanged. This transfer of energy is called conduction, and it is the process by which heat is transferred from one object to another.

Explanation:

see above

The change in internal energy of a system is equal to the heat transferred plus the work done on the system.

Internal energy is the energy of a system that is due to its composition and temperature. It is the sum of the kinetic energy and potential energy of all of the components of the system. It is a thermodynamic state function and can be used to calculate other thermodynamic properties such as enthalpy, entropy, and Gibbs free energy.

Given:
Heat transferred = 1550 J
Work done = 640.0 J
Therefore, the change in internal energy of the gas = 1550 J + 640.0 J = 2190 J.
The change in internal energy of a system is equal to the heat transferred to the system plus the work done on the system. In this case, the gas is cooling and being compressed at the same time. The heat transferred to the system is 1550 J and the work done on the system is 640.0 J. The change in internal energy of the gas is equal to the sum of the heat and work, which is 1550 J + 640.0 J = 2190 J.

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The change in internal energy of a system is equal to the heat transferred plus the work done on the system. 2190 J is  the change in internal energy for the gas.

Internal energy is the energy of a system that is due to its composition and temperature. It is the sum of the kinetic energy and potential energy of all of the components of the system. It is a thermodynamic state function and can be used to calculate other thermodynamic properties such as enthalpy, entropy, and Gibbs's free energy.

Given that:

Heat transferred = 1550 J

Work done = 640.0 J

Therefore, the change in internal energy of the gas:

change in internal energy = 1550 J + 640.0 J

change in internal energy = 2190 J.

The change in internal energy of a system is equal to the heat transferred to the system plus the work done on the system. In this case, the gas is cooling and being compressed at the same time. The heat transferred to the system is 1550 J and the work done on the system is 640.0 J. The change in internal energy of the gas is equal to the sum of the heat and work, which is 1550 J + 640.0 J = 2190 J.

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On the basis of a hubble constant approximately 72 km/s per mpc, D is equal to 833.33 to the cluster.

In cosmology, the Hubble characteristic is a constant of proportionality that describes the relationship between it velocities of far-off objects and their lengths. It conveys the rate of the universe's expansion. most latest accurate measurements of distant objects' motions and distances.

The region whereby the galaxies are moving away from each other faster than the speed of light is known as the Hubble sphere, after Edwin Hubble who found the universe was expanding back in the 1920s. Because they light is more red than it should be, they are almost all moving away from us, which is how we know.

Hubble constant = Mpc

= 60,000 / 72

D = 833.33

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This magnet may be divided in half to create two separate magnets, each featuring their own arrays of northern and southern magnetic poles. This is due to the absence of magnetic monopoles in nature.

Any substance that can draw iron and create a magnetic field around itself is a magnet. All known elements and several compounds had been investigated for magnetism by the end of 19th century, and it was discovered that every one of them has some sort of magnetic characteristic.

This demonstrates that magnetic monopoles cannot be created from a bar magnet. It is impossible for a bar to be split in two in order that one half possesses the magnetic north pole and the other the magnetic south pole. Instead, the east and west poles of each magnet will be unique.

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The risk factors which are associated with dating a gang member include severe issues such as drug addiction and disorders like depression and anxiety. This could be avoided by maintaining a healthy relationship with the parents and partners.

The risk factors which are associated with dating a gang member include many problems and disorders. Problems could be major such as drug addiction, trafficking, etc. The constant problems could lead to depression and anxiety in an individual which could be life-threatening if remains untreated for a long time.

The ways in which these risk factors could be minimized and Arianna could be saved from dating a gang member include cumulative protection across domains, cumulative protection in the family domain, educational aspirations and self-esteem in the individual domain, and parental supervision and parent/partner status in the family domain.

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The higher the weight, the greater the static friction force, and the higher the resistance to sliding. Therefore, the combination with the highest resistance to sliding is C) 1,800lb 60lb.

Static friction force is the force that resists two objects from moving relative to each other. It is the force that is generated when two objects are in contact with each other and in a stationary state. This force is also referred to as the static coefficient of friction. It is a force that is always present between two surfaces when they are in contact. The magnitude of this force is dependent upon the nature of the surfaces and the amount of force applied to the surfaces. The magnitude of static friction force is usually greater than the kinetic friction force. Therefore, it is necessary to overcome static friction in order to initiate movement between two objects.

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Complete Question:
Of the blocks listed below, which combination of materials will have the highest resistance to sliding?block Weight Friction

A) 150lb 30lb

B) 20N 5N

C) 1,800lb 60lb.
D) non of these

The final momentum of bumper car 2 is -241.0 kgm/s.

The magnitude of the final momentum of bumper car 2 can be found using the conservation of momentum principle, which states that the total momentum of a closed system remains constant before and after a collision.

To calculate the final momentum of bumper car 2, we can use the following equation:

initial momentum of system = final momentum of system

250.0 + (-320.0) = (-311.0) + final momentum of bumper car 2

-70.0 = (-311.0) + final momentum of bumper car 2

final momentum of bumper car 2 = -241.0 kgm/s

The final momentum of bumper car 2 is -241.0 kgm/s.

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The object with the greatest inertia is 8 kg bowling ball.

option A is the correct answer.

Newton's first law of motion states that a body at rest or uniform motion in a straight line will continue in that form unless it is acted upon by an external force.

Newton's first law of motion is also called the law of inertia because it depends on the mass of the object.

The inertia of a body or an object is the measure of the reluctance of the body or object to start moving when it is at rest or to to stop moving when it is in motion.

The inertia of an object depends on the mass of the object, thus the greater the mass of an object the greater the inertia of the object and vice versa.

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(a) The line density of the given grating is calculated to be 4831 lines / cm.

(b) There are two additional pares of bright spots beyond the first bright spot. θ₂ = 37.7° and θ₃ = 66.5°

(a) Given that,

λ = 632.8 nm = 632.8 × 10⁻⁹ m

θ₁ = ± 17.8

We know that the brilliant fringes' angle is determined by,

sin θ = mλ/d

For first bright fringe, m = ± 1

sin θ₁ = λ/d  ----(1)

Line density of this grating is given by, N = 1/d ----(2)

Making d as subject in (1), we have,

d = λ/ sin θ₁ ----(3)

Putting (3) in (2), we have,

N = sin θ₁/ λ = sin 17.8/(632.8 × 10⁻⁹) = 4.831 × 10⁵ line/m = (4.831 × 10⁵ lines/ 1m) × (1 m/100 cm) = 4831 lines / cm

(b) We know, d sin θ = m λ

So, d = m λ/sin θ = (632.8 × 10⁻⁹/sin 17.8) = 2067.4 × 10⁻⁹ m

Line density = 10⁻² / (2067.4 × 10⁻⁹) = 4830 lines/cm

To get additional bright spots, we take the condition sin θm < 1 which gives,

sin θ₂ = 2 sin θ₁ = 2× 0.3056 = 0.62

θ₂ = 37.7°

sin θ₃ = 3 sin θ₁ = 3 × 0.31 = 0.93

θ₃ = 66.5°

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Answer:

Explanation:

a) The final kinetic energy of the car is equal to the work done in accelerating the car from rest to a speed of 30ms^-1. Therefore, the final kinetic energy of the car is equal to:

KE = ½ mv^2 = ½(1000kg)(30ms^-1)^2 = 450,000 J

b) The power of the car can be calculated by dividing the work done by the time taken for the acceleration. Therefore, the power of the car is equal to:

Power = Work/Time = 450,000 J/12s = 37,500 W

c) The electrical current flowing from the battery can be calculated by dividing the power by the voltage of the battery. Therefore, the electrical current flowing from the battery is equal to:

Current = Power/Voltage = 37,500 W/300V = 125 A

Assumptions:

1. The car is assumed to be moving in a straight line with no friction.

2. The batteries are assumed to be wired correctly and in good condition.

3. The car is assumed to have a constant acceleration over the 12s period.

4. The voltage of the battery is assumed to remain constant over the 12s period.

The the number of gallons needed for the trip will be 83.72 gallons.

Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers in the millions place after the decimal required to be represented in a simpler format.

As a result, representing a few integers in their expanded form is challenging. As a result, we employ scientific notation. In this case, the gallons needed to travel is 1 gallon per 20000 miles.

The equivalent distance of 7 trips between the Earth and its moon will be:.

= 7 × 239,000 miles

= 1674400 miles

Since 1 gallon per 20000 miles,the number of gallons needed will be:

= 1674400 / 20000

= 83.72 gallons.

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Complete questions

The gallons needed to travel is 1 gallon per 20000 miles. Calculate the gallons of gasoline needed to drive an equivalent distance of 7 trips between the Earth and its moon (1 trip = 239,000 miles). You will only type in the number for your result in scientific notation here (no units).

b) Work = force x displacement = 215 N x (-4.60 m) = -992.5 J.  the same carries the same suitcase back down the same set of stairs. how much work does the passenger do on the suitcase to carry it down the stairs.

what is work ?

Work is an activity that involves physical or mental effort undertaken in order to achieve a result. It is usually done in exchange for money, but can also be done out of necessity or for pleasure. Work is often seen as an important part of life and it can come in many different forms, ranging from manual labour to professional and creative work.

Work can be rewarding and provide a sense of purpose and achievement for those who engage in it. It can also be a source of stress, especially when it is not well-suited to an individual’s skills or needs. The type of work an individual does can vary depending on their skills, interests, and resources. Working can help to build relationships, develop skills, and provide financial security.

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The speed of the car is 16.32 m/s, when the mass of the car is 1500kg and the kinetic energy is 200kj.

The energy of motion is known as kinetic energy, and it is manifested in the motion of objects and subatomic particles. Every particle and moving object contains kinetic energy. When something moves, such as when someone walks, a baseball soars, a piece of food falls off a table, or a charged particle moves in an electric field, kinetic energy is clearly visible. The kinetic energy of stationary objects is zero.

The potential energy of objects that aren't moving (the other main type of energy). Potential energy becomes kinetic energy when an object is propelled into motion by a force, such as gravity. For instance, a stretched rubber band stores elastic potential energy, which, upon release, is converted into kinetic energy.

The formula for kinetic energy is

K.E. = 1/2m × v²

200(1000j) = 1/2(1500) × v²

200000 =  750 × v²

v² = 200000/750

v² = 266. 6

v = √266. 6

v = 16.32 m/s

Thus,  the speed of the car is 16.32 m/s  

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If you jounce up and down on a bathroom scale, what varies on the scale reading is the normal force that is option b is the correct answer.

The support force acting on you will only accurately reflect your weight when you are in equilibrium. So it is equivalent to the gravity force acting on you.

The bathroom scale's springs are more squeezed as the elevator is moving upwards and display a higher weight reading as a result. The bathroom scale's springs are less compressed and display a lower weight reading when the lift is accelerating downhill.

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Answer:  the acceleration of an object due to earth's gravity is 32 ft/sec2

Explanation:

y = h - gt2/2 = 0; h = gt2/2; v(t) = dy/dt = - gt; t = - v(t)/g; h = g/2·v2(t)/g2 = v2(t)/(2g) = 1252ft2/s2/(2·32ft/s2) =

244.14 ft

Work done by a force will be the force is in the direction of displacement determined as Force × Displacement in the direction of force.

W = Fd is the formula for the amount of work W that a constant force does on an object. It is determined by dividing the force's intensity by the distance the body travels in the force's direction.

Displacement is simply the distance between an object's starting point and its final location, whereas distance is the length of an object's path. When measured along the shortest path between any two points, displacement is indeed the direct distance between them.

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Force exerted on the eye will be equal to PA, the value of the force applied will be 630 Newton the pressure on the ice from the person will be FA and the numerical value of the pressure will be 96923 Pa.

The mass of the woman is given to be taken 3 kg and the women is standing over a skate and the contact area between her skate and the ice is given to be 0.0065m².

According to the standard relation the pressure the applied force and the area of contact are related to each other as,

P = F/A

They applied force will be equal to the weight of the women and that will be equal to,

F = MG

F = 63×10

F = 630N

Putting the values,

P = 630/0.0065

P = 96923 Pa

So, the pressure that will be felt by the surface of the ice will be 96923 pascals.

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The slope of a Resistance vs Length graph is equivalent to

m = ρ/A. Its unit will be mho m⁻².

Given is the graph between resistance and the length of the wire.

We can write the resistance of a wire as -

R = (mL/ne²Aτ)

In this formula, the term -

(m/ne²τ)

represents a constant value called resistivity {ρ}. So, we can write -

R = ρL/A

where the metallic wire is of length {L}, cross - sectional area {A} and resistivity {ρ}.

Now, we can write the slope of resistance {R} and the length of the wire {L} as the ratio of {R} and {L}. So, we can write -

R/L = m

On comparing, we get -

m = ρ/A

Therefore, the slope of a Resistance vs Length graph is equivalent to

m = ρ/A. Its unit will be mho m⁻².

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In order to calculate the instantaneous power, we can use the dot product of the force vector and the velocity vector. The dot product is defined as:

F·V = (4i + 3j - 2k)·(5i + 2j - 3k) = (45) + (32) + (-2*-3) = 20 + 6 - 6 = 20

So the instantaneous power is 20.

To calculate the angle between the force and velocity vectors, we can use the formula:

cos(θ) = (F·V) / (||F|| * ||V||)

where θ is the angle between the vectors, F is the force vector, V is the velocity vector, and ||F|| and ||V|| are the magnitudes of the force and velocity vectors.

First, we need to find the magnitudes:

||F|| = sqrt(4^2 + 3^2 + (-2)^2) = 5

||V|| = sqrt(5^2 + 2^2 + (-3)^2) = sqrt(29)

So we can now calculate the angle:

cos(θ) = (20) / (5 * sqrt(29))

We can get the angle by using the inverse cosine function (arccos)

angle = arccos(cos(θ))

Note that the angle is in radians, if you want to get the angle in degrees, you can use the conversion factor of 180/π.

The maximum Current is 19.57 ohm, as mentioned inside the paragraph preceding.

A circuit in electronics is a totally circular path that electricity passes through. A current source, wires, and a load are the components of a basic circuit. Any ongoing channel for the conveyance of energy, info, or a signal is referred to as a "circuit" in a wide sense.

Voltage across the left 10 ohm resistance is V = IR = 0.92A * 10 ohm = 9.2 V

Thus this is the voltage across the 15 ohm and R

Therefore the current in the 15 ohm = 9.2/15 = 0.61 A

Kirchoff's current law states that current in = current out

So, from the 10 ohm & 15 ohm resistors, 2A is entering, while 0.92 + 0.61 are exiting.

Let current from R resistance is I₁

So, 2A = 0.92 + 0.61 + I₁

I₁ = 0.47A

For Resistance R,

V = I₁R

R = V/I₁ = 9.2/0.47

R = 19.57 ohm

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Since the relative velocity of the sound source and the blood flow is zero, the beat frequency is zero.

The expected beat frequency can be calculated using the Doppler shift formula, which states that the beat frequency (f) is equal to the difference between the emitted frequency (f0) and the received frequency (f) multiplied by the speed of sound in the medium (c) divided by the relative velocity of the blood flow (v) and the sound source.

f = (f0 - f) * c / (v + c)

Plugging in the given values:

f = (500 kHz - 500 kHz) * 1540 m/s / (2.0 cm/s + 1540 m/s)

f = 0 Hz

Since the relative velocity of the sound source and the blood flow is zero, the beat frequency is zero.

bund waves are similar to radar waves in that they both use sound waves to measure the distance and speed of objects. However, radar uses radio waves instead of sound waves, and it is typically used for detecting objects at a greater distance and at a higher speed than ultrasound.

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Using a spectrophotometer, optical density is determined in the experiment.

The optical density of a transparent material is a measure of how quickly light passes through the material. The degree to which any optically dense medium bends transmitted light rays toward or away from the norm is known as its optical density.

The slower the wave moves through the material, the higher the optical density. By examining the material's refractive index, one can establish its optical density. How much slower a light wave would flow through the medium in comparison to how quickly it would go through vacuum is represented by the dimensionless refractive index value.

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The ratio of electric force and gravitational force is of the order 10³⁶ between the two protons separated by 2 m apart.

Given that,

Distance between the two protons = 2 m

Gravitational force is given by the formula, Gf = G (mp)²/r²

Electric force is given by the expression, E = (K × e × e)/r²

The ratio of electric force to gravitational force is given by the formula,

Ratio = K (1.6× 10⁻¹⁹)²/r² × r²/G × (1.67 × 10⁻²⁷) = (9 × 10⁹)(1.6× 10⁻¹⁹)²/ (6.67 × 10⁻¹¹)(1.67 × 10⁻²⁷) = 1.23 × 10²⁰ × 10¹⁶ = 1.23 × 10³⁶

Thus, the ratio of electric force and gravitational force is of the order 10³⁶. This means that the value increases drastically.

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