Compare the magnitude of the electromagnetic and gravitational force between two electrons separated by a distance of 2.00 m. Assume the electrons have a mass of 9.11 × 10–31 kg and a charge of 1.61 × 10–19 C. Round to two decimal places. Fe = × 10–29 N Fg = × 10–71 N F Subscript e baseline over F Subscript g baseline.= × 1042

The total charge of the earth needed to support such a field is −4.56 × 10⁵ C.

What is electric charge ?

The physical quality of matter—its electric charge—is what causes it to feel a force when exposed to an electromagnetic field. Protons and electrons, the two types of charge carriers, typically carry positive and negative electric charges. Charges moving through a system produce energy.

What is electric field ?

According to mathematics, the electric field is described as a vector field that may be connected to each point in space and represents the force per unit charge that is applied to a positive test charge that is at rest at that location. Either the electric charge or time-varying magnetic fields can produce an electric field.

Given

E = 100 N/C  inward

Flux =\(\dfrac{ q_{enclosed}}{\epsilon}\)

−E(4πr2) =\(\dfrac{ q_{enclosed}}{\epsilon}\)         as field is inward so flux is negative

⇒ \(q_{enclosed}\) = −εE (4πr²)

⇒ \(q_{enclosed}\) = −εE (4πr2)              

= −8.85 × 10⁻¹² × 100 × 4π × (6400×1000 m)²

= −4.56 × 10⁵ C

this charge may be coming because earth core is ionised and positively charged so on surface maybe negative charge induced.

Thus, The total charge of the earth needed to support such a field is −4.56 × 10⁵ C.

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Complete question:

It turns out that there is an electric field that points inward toward the center of the Earth that has a magnitude of about 100 N/C near the Earth's surface. Estimate the total charge of the Earth needed to support such a field. Where do you think all this charge comes from?

The velocity of third mass of watermelon is 3.12m/sec if it explodes into three equal masses.

We know that we need to conserve the momentum of watermelon in a certain direction.Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

Now,initial momentum of watermelon=0Kg-m/sec

Alos,we know that momentum =mass× velocity

Now,suppose watermelon has mass m.When it explodes into three equal parts,then the mass of each watermelon pieces is m/3

=>So,final momentum of piece moving to east=(m/3)×15

Similarly final momentum of second and third piece are

(m/3)×10×1/√2 and (m/3) × v × (1/√2)

So,conserving momentum,we get

=>0=(m/3) × 15 +((m/3)×10×1/√2 ) + (m/3)×10×1/√2 )×v

=> - (15 + 10/√2) = (10/√2)×v

=> - (15√2 + 10) = 10v

=>v = (15√2 + 10)/10

=>v= -(21.21+10)/10

=>v= -31.21/10

=>v= -3.12m/sec

Here negative sign shows that mass will move opposite direction to first piece.

Hence, required velocity is 3.12m/sec.

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Answer:

solid

Explanation:

Solid is the most common state of matter in most metals at room temperature.

The term used to describe the energy of a system that is available to do work is free energy.

Free energy is the energy that is available in a particular chemical system to do useful work.

The Gibbs free energy denoted by G is the enthalpy of a system minus the product of its entropy and absolute temperature.

It is referred to as free because the energy is readily available anytime. Free energy is measured in kilojoules per mole (KJ/mol).

Therefore, it can be said that the term used to describe the energy of a system that is available to do work is free energy.

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Answer: Metals refers to the natural elements that are hard, shiny, opaque and dense. Non-metals implies those chemical substances that are soft, non-shiny, transparent and brittle. Most metals are hard, except sodium. Most non-metals are soft, except diamond.

Given data:

* The mass of the roller coaster is m = 800 kg.

* The total mechanical energy is E = 392000 J.

* The kinetic energy at the particular height (let h') is K = 92000 J.

Solution:

The potential energy of the roller coaster at h' is,

The potential energy in terms of height and mass is,

where g is the acceleration due to gravity,

Substituting the known values,

Thus, the height of the roller coaster from the ground is 38.3 meters.

The magnitude of the centripetal acceleration of the car is 0.0314 m/s².

centripetal acceleration

Centripetal acceleration is described because the assets of the motion of an item, traversing a circular path. Any object that is shifting in a circle and has an acceleration vector pointed in the direction of the center of that circle is referred to as Centripetal acceleration.

a = v²/ r

r = 3500 m (SI unit)

t = 200 s

circumference = C

C = 2 * π * r

C = 2 * 3.141 * (3500 m)

C = 21987 m

v = D / t

v = (21987 m) / (200 s)

v = 109.935 m/s

a = (109.935 m/s)² / (3500 m)

a = (109.935 m/s²) / (3500 m)

a = 0.0314 m/s²

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Three wires meet at a junction. wire 1 has a current of 0.40 a into the junction. the current of wire 2 is 0.75 a out of the junction. The current in Wire 3 (I3) is 0.35 A.

To analyze the current flow at the junction, we need to apply Kirchhoff's current law, which states that the total current entering a junction is equal to the total current leaving the junction. In this case, we have three wires meeting at the junction, so let's label them as follows:

According to Kirchhoff's current law, the sum of the currents entering the junction should be equal to the sum of the currents leaving the junction. Mathematically, we can express this as:

0.40 A + I3 = 0.75 A

To solve for the unknown current I3, we subtract 0.40 A from both sides of the equation:

I3 = 0.75 A - 0.40 A

I3 = 0.35 A

Therefore, the current in Wire 3 (I3) is 0.35 A.

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True, the statement for an ideal phase-shifting transformer, the impedance is unchanged when it is referred from one side to the other is true.

A transformer is a passive component that works with the aid of mutual induction to transfer electrical energy from one circuit to another without actually transmitting it through a conducting medium. The transformer is made up of a pair of coils that are wrapped around a magnetic core. The primary coil is the one that is connected to the source, whereas the secondary coil is the one that is connected to the load or the receiver.

Phase-shifting is an operation in which a voltage or current signal is shifted in time or phase by a certain amount. This process is critical in power electronics, which deals with the use of semiconductors to regulate and convert electrical energy. For example, to regulate AC power, phase-shifting may be used.

Impedance is a measure of the total resistance, inductive reactance, and capacitive reactance of an AC circuit. It is denoted by Z and is calculated using the following formula:Z = √(R² + Xl − Xc²),where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance of the circuit. The phase angle of the impedance is determined by the ratio of Xl and Xc in the formula above.

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The measured NO₂ concentration of 130 μg/m³ exceeds the standard of 53 μg/m³.

To determine if the measured NO2 concentration of 130 μg/m3 exceeds the standard of 0.053 ppm, we need to convert the units to be the same.

1 ppm = 1,000 μg/m³

So, 0.053 ppm = 53 μg/m³

Therefore, the measured NO2 concentration of 130 μg/m³ exceeds the standard of 53 μg/m³.

Air quality measures assess the levels of pollutants in the air and determine their potential impact on human health and the environment. It typically involves monitoring a variety of substances such as particulate matter, nitrogen oxides, sulfur dioxide, ozone, and carbon monoxide. The data collected is then compared to national or international air quality standards to determine if the air is safe to breathe. Poor air quality can lead to respiratory problems, cardiovascular disease, and other health issues. It can also harm the environment by damaging crops, reducing visibility, and altering the climate. Effective air quality measures aim to reduce air pollution levels through regulations, incentives for clean technologies, and public education campaigns.

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The initial center mass of the two bricks is 2 kg.

The center mass of the two bricks is determined by combining the momentum of the two bricks, with one as the reference point.

The initial center mass of the two bricks is calculated as follows;

\(M_{cm} = \frac{M_0 + M_1}{v_1 + v_2} \\\\M_{cm} = \frac{5(0) \ + \ 2(3)}{0 + 3} \\\\M_{cm} = 2 \ kg\)

Thus, the initial center mass of the two bricks is 2 kg.

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Answer:

definitely top answer

Explanation:

because it make sense

Analyzing the motion of a rubber ball thrown upward, with an initial speed of 15.8 m/s, we find that it takes approximately 1.61 seconds to reach its highest point and reaches a maximum height of approximately 12.74 meters.

When analyzing the motion of the rubber ball, we can use the equations of motion to find various parameters. Let's break it down:

First, the initial speed of the ball is given as 15.8 m/s directly upward. Since we have chosen upward as the positive direction, the initial velocity of the ball will be +15.8 m/s.

Next, let's find the time it takes for the ball to reach its highest point. When the ball reaches its highest point, its vertical velocity becomes zero. We can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In this case, the final velocity is 0 m/s, the initial velocity is +15.8 m/s, and the acceleration is the acceleration due to gravity, which is -9.8 m/s² (negative because it acts in the opposite direction to the initial velocity). Plugging these values into the equation, we get:
0 = 15.8 - 9.8t
9.8t = 15.8
t ≈ 1.61 s

Therefore, it takes approximately 1.61 seconds for the ball to reach its highest point.

Now, let's find the maximum height reached by the ball. We can use the equation v² = u² + 2as, where s is the displacement. At the highest point, the final velocity is 0 m/s, the initial velocity is +15.8 m/s, the acceleration is -9.8 m/s², and we want to find the displacement. Plugging these values into the equation, we get:
0 = (15.8)² + 2(-9.8)s
0 = 249.64 - 19.6s
19.6s = 249.64
s ≈ 12.74 m

Therefore, the maximum height reached by the ball is approximately 12.74 meters.

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Answer:

to have courage and show the strength of your character. ... A person with true grit has passion and perseverance. Goals are set and followed through.

Explanation:

for example: i had the passion and the courage to finish my school work and chores for i can go out with my friends and to get out of the house for a bit and have fun so i had the courage to finish chores from the house and do some schoolwork for i can finish ad hang out with some friends. so i had the strength to finish everything because i didn't want to be doing school work and chores any more so i had the passion to finish up quickly  

Answer:

In my opinion, the last option is "It changes with new observations made by astronomers". is correct as many new theories are still being made so many new things can be added later on.

Explanation:

hope it helps

Answer: 37.326 kg

Explanation:
KE = 1/2 mv2,
1/2 m1(v1i)2 + 1/2 m2(vi)2 = 1/2 m1(v1f)2 + 1/2 m2 (v2f)
0.5*60*(5.6)^2 = 0/6*x*(7.1)^2
x = 37.3259

Answer: it's rather A or B

Explanation: those are the moments it stops but most likely it is answer A.

Answer:

Image result for What do executive departments do?​

Under Article II of the Constitution, the President is responsible for the execution and enforcement of laws created by Congress. Fifteen executive departments—each led by an appointed member of the President's Cabinet—carry out the day-to-day administration of the Federal Government.

Explanation:

The Cabinet and independent federal agencies are responsible for the day-to-day enforcement and administration of federal laws. ... Fifteen executive departments — each led by an appointed member of the President's Cabinet — carry out the day-to-day administration of the federal government.

The accelaration is 15 ms.

Acceleration (a) is the reason that  change in velocity (Δv) over to the change in time (Δt).

represented by the equation to  a = Δv/Δt. This allows you to measure how fast velocity by the  changes in meters per second squared (m/s^2).

1 . Here the change in to the  velocity is (50-20) or 30 m/s

And the time interval by to  the 5

So acceleration is 30/5 or 6 ms^-2

2. Here the change is the  (40-10) or 30 m/s in time is the  interval is 2 second

So acceleration is 30/2 or 15 ms^-2.

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Answer:

0.84m

Explanation:

0.51+0.43=0.93

πr can be 22/7 or 3.14

radius is 2x2= 4

3.14 divide0.93divide 4

=0.84m/s

Answer:

0.605 m (approx.)

Explanation:

We know, given the radius and the circular velocity we can yield the centripetal acceleration using this equation,

\(a = \frac{v^2}{r}\)

From this equation, we can solve for \($r$\) like this,

\(r = \frac{v^2}{a}\\r = \frac{0.51^2}{0.43} m \\ = 0.605 m\)

Answer:

d.the time it takes for the water to boil

Explanation:

it is because salt was added to the water.so the responding variable is the time taken to boil the water

The Golgi tendon reflex helps to regulate the muscle's tension and prevent excessive force from being applied to the tendon and muscle fibers, which can cause damage or tearing.

When a weight lifter is trying to perform a one rep max and suddenly their quad muscles just give away, the protective mechanism that is activated is the Golgi tendon reflex.

The Golgi tendon reflex is a reflex action that occurs when the tendon of a muscle is stretched, causing the muscle to relax to prevent further damage or injury. It is a protective mechanism that helps prevent muscle tears or strains .The Golgi tendon organ is a proprioceptive sensory receptor located in the tendons of the muscle that connects it to the bone. It sends signals to the spinal cord and brain when the tension in the muscle increases, and the muscle is stretched too much. This reflex action is essential for maintaining the muscle's health and preventing injury.

The Golgi tendon reflex helps to regulate the muscle's tension and prevent excessive force from being applied to the tendon and muscle fibers, which can cause damage or tearing.

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Answer:

A) 35 ft

B) 5 ft

C) Net displacement = distance covered by the dog to retrieve the stick - distance covered before the dog starts chewing the stick

Explanation:

A) Total distance covered by the dog = 20 + 15

                                  = 35 ft

B) Since the other distance covered by the dog before chewing the stick, after the retrieval, was in an opposite direction to the initial direction, then;

total displacement of the dog = 20 - 15

                                  = 5 ft

C) Net displacement = distance covered by the dog to retrieve the stick + distance covered before the dog starts chewing the stick

But, displacement involves a specified direction. The distance covered before the dog starts chewing the stick was in an opposite direction to the initial direction.

Thus,

Net displacement = distance covered by the dog to retrieve the stick - distance covered before the dog starts chewing the stick

Answer:

The velocity of the rock is 47.24 m/s

The displacement of the rock is 110.48 m

Explanation:

The initial velocity u = 8.0 m/s

time t = 4.0 s

Using

\(v = u + gt\)

where v is the final velocity of the rock after 4.0 s

u is the initial speed = 8 m/s

g is acceleration due to gravity = 9.81 m/s

t is the time = 4.0 s

substituting, we have

\(v = 8 + (9.81*4)\)

\(v = 8 + 39.24\) = 47.24 m/s

Also, using

\(s = ut + \frac{1}{2} gt^{2}\)

where

s is the distance that the stone fell

t is the time = 4.0 s

g is the acceleration due to gravity = 9.81 m/s^2

substituting values, we have

\(s = (8 * 4) + (\frac{1}{2}*9.81*4^{2})\)

s = 32 + 78.48

s = 110.48 m

Given:

By using the relation, we get

→ \(v = u+gt\)

By substituting the values, we get

     \(= 8+(9.8\times 4)\)

     \(= 8+39.24\)

     \(= 47.24 \ m/s\)

hence,

→ \(s = ut+\frac{1}{2} gt^2\)

     \(= (8\times 4)+(\frac{1}{2}\times 9.81\times 4^2 )\)

     \(= 32+78.48\)

     \(= 110.48 \ m\)

Thus the above answer is appropriate.    

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The gymnastic tumbler has a total kinetic energy of 0.9375 J, and 38.46% of that total kinetic energy is due to rotational motion.

What is kinetic energy?

Kinetic energy is the energy possessed by an object due to its motion. It is defined as the work required to accelerate an object of a certain mass from rest to its current velocity.

Given:

Mass of the tumbler (m) = 75 kg

Diameter of the tumbler (d) = 1.0 m

Angular velocity (ω) = 0.50 rev/s

The radius (r) of the tumbler is half of its diameter, so r = d/2 = 0.5 m.

Linear velocity (v) = ω * r

v = (0.50 rev/s) * (0.5 m)

v = 0.25 m/s

a) Total kinetic energy (K_total) of the tumbler consists of both translational and rotational kinetic energy. The translational kinetic energy (K_trans) can be calculated using the formula:

K_trans = (1/2) * m * v^2

K_trans = (1/2) * (75 kg) * (0.25 m/s)^2

K_trans = 0.9375 J

b) The rotational kinetic energy (K_rot) can be calculated using the formula:

K_rot = (1/2) * I * ω^2

I = (1/2) * m * r^2

I = (1/2) * (75 kg) * (0.5 m)^2

I = 4.6875 kg·m²

K_rot = (1/2) * (4.6875 kg·m²) * (0.50 rev/s)^2

K_rot = 0.5859 J

Percentage of rotational kinetic energy = (K_rot / K_total) * 100

Percentage of rotational kinetic energy = (0.5859 J / (0.9375 J + 0.5859 J)) * 100

Percentage of rotational kinetic energy ≈ 38.46%

Therefore, the gymnastic tumbler has a total kinetic energy of approximately 0.9375 J, and approximately 38.46% of that total kinetic energy is due to rotational motion.

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Answer:

b - it is not based on experimental data collected by scientists