If all of the variables in Coulomb's law are increased to 7 times larger, how much different is the new force as compared to the previous force

Answer:

Solubility in gasses and liquids increase as pressure increases. This is due to colligative properties. The nitrogen gas levels would increase the farther the diver dives due to the increase of pressure causing the solubility of the nitrogen to increase, thus increasing the amount of it as you go deeper in the ocean.

Explanation:

As they plummet down, the driver would be in more risk. The solubility of gases and liquids increases as pressure increases. This is due to the existence of colligative properties. The nitrogen gas levels grow when the diver descends further into the water due to increased pressure, which causes the nitrogen's solubility to rise, increasing the amount of nitrogen present.

The speedometer of a car measures instantaneous speed. It tells you the speed of the car at any given moment in time.

The speedometer of a car measures instantaneous speed. This means it gives the reading of the speed at any given moment in time.

Main part: The speedometer of a car measures instantaneous speed. It tells you how fast you are driving at that particular moment. The speedometer gives you a direct reading of how fast your vehicle is traveling. It measures the vehicle's speed at any given moment in time, rather than calculating the average speed of the entire journey.

A speedometer is attached to a vehicle's wheels to measure its speed. As the wheels turn, the speedometer calculates the speed at which they are turning. Inside the speedometer, there is a component called a speedometer cable. This component is connected to the back of the speedometer's drive mechanism. The other end of the cable is connected to a gear that is inside the transmission or the transfer case. When the vehicle is moving, the driveshaft turns the gears in the transmission or transfer case. The gear connected to the speedometer cable also turns, causing the cable to rotate. The rotation of the cable creates a magnetic field that drives the speedometer's magnetometer, which is connected to the speedometer pointer. This causes the pointer to move along the dial and show the speed of the vehicle on the speedometer.

Conclusion: In conclusion, the speedometer of a car measures instantaneous speed. It tells you the speed of the car at any given moment in time.

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The Nernst Equilibrium Potential is the potential energy (in mV) when an ion is in electrical equilibrium. The correct option is C.

The Nernst equilibrium potential is a theoretical membrane potential at which the electrical gradient of an ion is precisely counterbalanced by the opposing chemical gradient. For the ion, this means that there is no net flux of the ion through the membrane, and it is at equilibrium.

As a result, this concept defines the voltage at which ion movement would be equal if there were no other forces opposing the movement. For a single ion, the Nernst equilibrium potential may be computed utilizing the following formula:

E ion = (RT/zF) * ln([ion]outside/[ion]inside)

where E ion  represents the Nernst equilibrium potential for an ion, R is the gas constant, T is temperature (in Kelvin), z is the charge of the ion, F is Faraday's constant, and [ion]outside/[ion]inside represents the ion concentration ratio outside/inside the cell.

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Strong storms and hurricanes are the consequences of how the Earth is heated by the sun.

The upper troposphere becomes warmer as the lower stratosphere warms. When the troposphere and the planet's surface are at opposite temperatures, significant updrafts result, which intensifies storms and hurricanes. Updrafts and storm power are diminished during the height of the 11-year solar cycle.

Troposphere, stratosphere, mesosphere, and thermosphere are the layers of the atmosphere. The stratosphere, which contains the ozone layer, is the part of the Earth's atmosphere that is most affected by the sun. The stratosphere, which is where weather happens, is followed by the troposphere.

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The elastic potential energy stored in the spring having a spring constant of 50.0 N/m is 16 J

We'll begin by obtaining the extension of the spring. This is given below:

Extension = New length - initial length

Extension = 0.90 - 0.10

Extension = 0.80 m

Finally, we shall determine the potential energy stored by the spring. Details below

PE = ½Ke²

PE = ½ × 50 × 0.8²

PE = 25 × 0.64

PE = 16 J

Thus, from the above calculations, we can conclude that the potential energy stored is 16 J

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Answer:

B

Explanation:

Got it right

Answer:

B. X: Releases energy to the photosphere

Y: Takes longer for photons to move through

Explanation:

Right on ED2021, goodluck!

Hi there!

\(\large\boxed{F_{A} = -5000N}}\)

For an object to be moving at constant velocity:

∑F = 0 (The sum of the forces acting on the object MUST be 0 N)

We can do a summation of forces for this helicopter in the HORIZONTAL direction:

∑Fₓ = Ft (Force of Thrust) + Fa (Force of air resistance) = 0

Thus, if we substitute in the given value for Ft:

Ft = -Fa

5000N = -Fa

Fa = -5000N

Answer:

B released when a nucleaus splits

Answer:

The answer is C.

Explanation:

I just took the test. :)

The benefit of using the metric system and SI Units is to convey information accurately so scientists can refer to the same quantity no matter the location or language, therefore the correct answer is option C.

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

Any additional quantity of that type can be stated as a multiple of the measurement unit.

The metric system and SI Units have the advantage of precisely communicating information, allowing scientists to refer to the same quantity regardless of location or language. As a result, option C is the right response.

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Hotter bodies emit shorter radiation than cooler bodies. The correct option is b.

1. The term "radiation" refers to the electromagnetic waves emitted by objects due to their temperature. These waves can have different wavelengths, which determine their characteristics such as color and energy.

2. Hotter bodies have higher temperatures, and temperature is a measure of the average kinetic energy of the particles within an object. As the temperature increases, the particles gain more energy and move more vigorously.

3. The energy distribution of particles in a hotter body is skewed towards higher energy levels. This means that the particles have a greater tendency to emit photons with higher energies, corresponding to shorter wavelengths.

4. According to Planck's law of black-body radiation and the Stefan-Boltzmann law, the intensity and spectral distribution of radiation emitted by an object are directly related to its temperature. Hotter objects emit more radiation overall and the peak of their radiation occurs at shorter wavelengths.

5. On the other hand, cooler bodies have lower temperatures, and the energy distribution of their particles is skewed towards lower energy levels. Consequently, cooler bodies emit photons with lower energies, corresponding to longer wavelengths.

6. Therefore, the correct answer is that hotter bodies emit shorter radiation than cooler bodies. This relationship is consistent with our everyday experience, as we observe hot objects like glowing metal or the Sun emitting radiation at shorter wavelengths in the visible or even ultraviolet range, while cooler objects like embers or the Earth emit radiation at longer wavelengths, such as infrared. Option B is the correct answer.

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Answer:

Lunar eclipse

Explanation:

Lunar eclipse occurs when Earth comes in between sun and Moon. The moon is either partially or fully blocked and the moon sighting appears to be black from earth since the light rays coming from sun are blocked by Earth. Lunar eclipse occurs only at full moon. The moon is aligned with the position of earth and sun so that they all form a straight line.

Answer:

475 J

Explanation:

Kinetic energy is calculated by one half of the product of mass and velocity squared or expressed as:

KE = 1/2 (mv²)

We calculate as follows:

KE1 = 1/2 (mv²) = 1.9 * 10^3 joules

KE2 = 1/2 (m(v/2)²) = 1/2 (mv²/4)

KE2 =  1.9 * 10^3 joules / 4 = 475 J

The instantaneous speed of the point of the disk that makes contact with the surface is zero m/s (Option A).

To determine the instantaneous speed of the point of the disk that makes contact with the surface, we must consider the following terms:

The answer to the question is A) zero m/s. The reason for this is that the point of contact between the disk and the surface is stationary for an instant, as it constantly changes due to the rotation of the disk. At that specific moment, the instantaneous speed of the point of contact is zero.

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1) The first element is U - 238. The final element is Pb - 206

2) The elements Th, Rn , Ra and Po are formed in between

3) The atomic number increases towards the end when more protons are added.

4) The atomic number of the final element is less than the atomic number of the original element

5) The mass number of the final element is less than the mass number of the original element.

A decay series is a sequence of radioactive decay reactions that occur in a radioactive substance until a stable isotope is reached. It starts with a radioactive parent isotope that undergoes radioactive decay, producing a series of daughter isotopes.

Each of these daughter isotopes is also unstable and will undergo further decay until it reaches a stable isotope.

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Answer:

2730.304 KJ

Explanation:

 How much heat is required to convert 0.8 kg of ice at  -35°C into steam at 100 C?

Given that:

mass of ice (m) = 0.8 kg = 800 g

Initial temperature (\(T_i\)) = -35°C = 238 K

final temperature (\(T_n\))= 100°C = 373 K

Specific heat of ice (\(S_i\)) = 2.108 J/g.K

Specific heat of water (\(S_w\)) = 4.18 J/g.K

Latent heat of fusion (\(L_f\)) = 334 J/g.

Latent heat of vaporization (\(L_v\)) = 2230 J/g.

\(\Delta T=T_n-T_i=373-238=135K\)

Total heat (Q) required to increase the temperature of ice from the initial temperature of 238K to final temperature of 373 K is given by the equation:

\(Q=m\Delta TS_i+m\Delta TS_w+mL_f+mL_v\\Q=800(135)*2.108+800(135)*4.18+800*334+800*2230\\Q=227664+451440+267200+1784000=2730304J\\Q=2703.304KJ\)

Answer:

The Answer is D!

Explanation:

I checked it on Khan Academy.

The correct free body diagram of the hanging carrot is option B, where, the forces from two ropes and the net force acting upward and the gravitational force acting downwards.

A free body diagram is a representation of a body with different kinds of forces acting upon it with respect to its position and direction.

There are different kinds of forces namely magnetic force, tension force, nuclear force, gravitational force and the normal force  etc. The force acting on a massive moving body will be the product of its mass and acceleration.

The direction of each force acting upon a body will be different and the displacement also. Here, the carrot hanged by the two ropes will experience forces from both ropes which hangs it down but the force acting is upwards and thus the net force  is upward.

The gravitational force Fg acting on a body is always downward and thus the correct diagram depicting the free body of the carrot with forces is option B.

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The statement that correctly describes the classification of chemical reactions into different categories is "All reactions fit into a category, and some reactions can fit into more than one category."

A chemical reaction is said to have occurred when the substances combine and form new substances. The substances that combined together are called reactant while the substance produced by such combination is called a product.

All reactions can be fitted into one category of the other depending on the kind of change that occur in the reaction.

However, some reactions fit more than one category. Let me give you an example. Look at the reaction; C(s) + O2 (g) ------> CO2(g).

This reaction can be viewed as a redox reaction since the oxidation numbers of the species involved in the reaction changed from left to right. On the other, we can also look at the reaction as a combustion reaction since it involves burning carbon in oxygen.

From this little example, we have seen that some reactions can fit into more than one category of reaction, hence the answer .

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Answer:

I think it's b and I'm sorry if it's wrong

Two masses oscillating together with each of their time period as ,'T'

Option B

we know that,

The time period of a mass 'm' on a spring of spring constant 'k' can be strategize by the following equation :

\( \huge \rightarrow \: T \: = 2π \sqrt{ \frac{m}{k} } \)

According to the question,

so,

The new time period would be

\( \huge \rightarrow \: T ' \: = 2π \sqrt{ \frac{2m}{2k} } \)

\( \huge \rightarrow \: T ' \: = 2π \sqrt{ \frac{m}{k} } \)

\( \huge \rightarrow \: T ' \: = T\)

Hence ,option B is correct ✓

The x-component of the net force on q2 is -1.439 × 10^-10 N.

The given charges are Q1 = -4.60 * 10^-6 C, q2 = +3.75 * 10^-5 C, and q3 = -5.30 * 10^-6 C. We need to find the x-component of the net force on q2.

The formula for force is F = K(q1 * q2) / r^2, where K is Coulomb's constant = 8.99 × 10^9 Nm^2/C^2, q1 and q2 are the charges in Coulombs, and r is the separation distance in meters.

The force between q2 and Q1 on the x-axis can be calculated as:

F1 = K(Q1 * q2) / r^2 ... (i)

Here, K = 8.99 × 10^9 Nm^2/C^2, Q1 = -4.60 × 10^-6 C, q2 = 3.75 × 10^-5 C, and r = 0.05 m.

Calculating F1:

F1 = (8.99 × 10^9) * (-4.60 × 10^-6) * (3.75 × 10^-5) / (0.05)^2

F1 = -1.242 × 10^-10 N

Similarly, the force between q2 and q3 on the x-axis can be calculated as:

F2 = K(q2 * q3) / r^2 ... (ii)

Here, K = 8.99 × 10^9 Nm^2/C^2, q2 = 3.75 × 10^-5 C, q3 = -5.30 × 10^-6 C, and r = 0.06 m.

Calculating F2:

F2 = (8.99 × 10^9) * (3.75 × 10^-5) * (-5.30 × 10^-6) / (0.06)^2

F2 = -1.971 × 10^-11 N

The net force can be calculated by adding F1 and F2, considering their x-components:

Fnet = F1 + F2

Fnet = (-1.242 × 10^-10) + (-1.971 × 10^-11)

Fnet = -1.439 × 10^-10 N

As both forces act in opposite directions along the x-axis, the net force is in the negative x-direction.

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Answer: The size of the force varies inversely as the distance square between the two charges. Thus, if the distance between the two charges is doubled, the attraction or repulsion will become weaker and decrease to one-fourth of the original value. The size of the force shall be proportional to the value of each charge.

Explanation:

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Stellar equilibrium is a balance between Outward pressure and inward gravity.

As long as a balance is maintained between the gravity that pulls the star inwards and the pressure that pushes it outwards, the stars are fine. During most of a star's life, its internal heat and radiation are provided by nuclear reactions in the star's core. Star balance refers to the balance of forces that exist within a star.

Stars are composed of helium gas and hydrogen gas constantly undergoing nuclear reactions in their core. The pressure of these reactions pushes out of the star. At the same time gravity is pushing the star. At the main-sequence stage of stellar evolution, the outward-pushing radiation pressure and the inward-pushing gravitational pressure are precisely balanced. In a stable star, the pressure of gas pushing away from the center is the same as the gravitational force pulling atoms toward the center.

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a. The amount of thermal energy 'wasted' by the turbine per second = 500,000 J

b. Efficiency of the turbine = 66.7%

Energy is the ability to do work.

Energy is essential to sustain the material universe. Energy constantly flows in the universe and is transformed into various forms.

Th various forms of energy are:

When energy is lost in a system, it is usually converted to heat.

a. The amount of thermal energy 'wasted' by the turbine per second = 1,500,000 J - 1,000,000 = 500,000 J

b. Efficiency = (1,000,000/1,500,000) * 100%

Efficiency of the turbine = 66.7%

In conclusion, energy is usually lost in the form of heat or thermal energy during energy transformations.

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Answer:

imma have to come back to you on that one

Answer:

The Sun is at the center of the solar system and the planets move around it.

Explanation:pluto/edmentum

Given function isv(t) = t³ +13t²+47t-35and time interval is 1≤t≤7. We have to calculate:

(a) Displacement

(b) Total Distance

(a) Displacement:

Displacement is defined as the shortest distance between initial and final points. We can find the displacement of a particle with the help of following formula:

Displacement = Final Position - Initial PositionHere, the particle moves along a straight line, and we don't know the initial and final position.  Thus, the displacement of the particle is 219 ft.(b) Total Distance:Total distance traveled by the particle is the sum of all the distances covered by it in different intervals.

Thus, we have two real roots of the given equation:t₁

≈ - 6.548t₂

≈ 0.215

Therefore, ∫|v(t)|dt = 309

As we have to find the total distance, we have to add both the cases. Therefore,

Total Distance =∫|v(t)|dt  [from 1 to 7]

=∫|v(t)|dt [from 1 to 7]

=∫|v(t)|dt (from 1 to 1.215) +|v(t)|dt (from 1.215 to 7) = 252 + 309= 561 ft Thus, the total distance traveled by the particle is 561 feet.

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the electric field is more than the threshold value and the capacitor will experience dielectric breakdown.

1. Given values are,
side length of metal plates, a = 3 cm and b = 6 cm
distance between the plates, d = 2.36 cm
voltage, V = 110 V
dielectric constant of water, k = 80.4
dielectric constant of new material, k2 = 3.75
a) To calculate the capacitance of capacitor, the formula is, C=εA/d  ……………… (1)
where A = area of plate, ε = permittivity, and d = separation distance between two plates.
We know that the permittivity of vacuum is given as, ε0 = 8.854 x 10^-12 F/m
The capacitance of capacitor can be expressed as,
C1 = ε0 (kA/d) …………….. (2)
where, ε0 = permittivity of vacuum, k = dielectric constant and A = area of plate.
Substituting the given values in equation (2),
C1 = 8.854 x 10^-12 x 80.4 x (0.03 x 0.06)/0.0236
C1 = 0.000132 F
Therefore, the capacitance of capacitor is 0.000132 F.

b) To calculate the new capacitance, the formula is given as,
C2 = k2ε0A/d ……………… (3)
where k2 is the dielectric constant of new material.
Substituting the given values in equation (3),
C2 = 3.75 x 8.854 x 10^-12 x (0.03 x 0.06)/0.0236
C2 = 0.000263 F
Therefore, the new capacitance is 0.000263 F.

c) The new voltage can be calculated as,
V2 = V1(C1/C2) …………… (4)
Substituting the given values in equation (4),
V2 = 110 (0.000132/0.000263)
V2 = 55 V
Therefore, the new voltage is 55 V.

d) The charge on each plate is given as,
Q = CV ………….. (5)
Substituting the given values in equation (5),
Q = 0.000132 x 110
Q = 0.0145 C
Therefore, the charge on each plate is 0.0145 C.

2. Given values are,
capacitance, C = 3.23 µF
area of plate, A = 6.35 mm^2
separation distance between two plates, d = ?
new capacitance, C2 = 5.63 mF
new dielectric constant, k2 = ?
voltage, V = 110 V
electric field between two plates, E = 8.99 x 10^4 N/C
working voltage, Vw = 63 V

a) The separation distance between two plates can be calculated as,
C1/C2 = d2/d1  …………….. (6)
where d1 and d2 are the initial and final separation distance, respectively.
Substituting the given values in equation (6),
3.23 x 10^-6/5.63 x 10^-3 = d2/d1
d2 = 5.63 x 10^-3 x (d1/3.23 x 10^-6)
Area of plate, A = 6.35 mm^2 = 6.35 x 10^-6 m^2
The capacitance can be expressed as,
C = εA/d
d = εA/C
where ε = permittivity of dielectric material.
Therefore, substituting the given values in above equation,
d1 = ε x 6.35 x 10^-6/3.23 x 10^-6
d1 = 12.50 ε
Substituting the value of d1 in equation (6),
5.63 x 10^-3 = d2/12.50 ε
d2 = 70.38 ε
The separation distance between two plates is 70.38 ε.

b) The new dielectric constant can be calculated as,
C2 = k2ε0A/d2
k2 = C2d2/ε0A
Substituting the given values in above equation,
k2 = 5.63 x 10^-3 x 70.38 ε/(8.854 x 10^-12 x 6.35 x 10^-6)
k2 = 3.95
Therefore, the new dielectric constant is 3.95.

c) The new voltage can be calculated as,
V2 = V1(C1/C2)
Substituting the given values in above equation,
V2 = 110(3.23 x 10^-6/5.63 x 10^-3)
V2 = 0.063 V
Therefore, the new voltage is 0.063 V.

d) The electric field can be expressed as,
E = V/d
d = V/E
Substituting the given values in above equation,
d = 63/8.99 x 10^4
d = 7.01 x 10^-4 m
The voltage, V = 110 V > working voltage, Vw = 63 V

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The magnitude of vector C is 15.5. The angle with positive x axis is 209.4°.

The vector A is given as

\(\vec{A}\) = \(A_x\)Î + \(A_y\)Ĵ

   = 0Î + AĴ

   = 18Ĵ

The vector B is given as,

\(\vec{B}\) = \(B_x\) Î + \(B_y\)Ĵ

= B cos (90° - 30°)î-B sin (90° -30°) Ĵ

= B cos 60°Î - B sin 60°Ĵ

= 12 cos 60°Î  - 12 sin 60°ĵ

= 6Î - 10.39Ĵ

The vector A+B is given as

\(\vec{A}+\vec{B}\) = 18Ĵ + 6Î - 10.39Ĵ

          = 6Î + 7.61Ĵ

The resultant of vectors A, B, and C is 7.50 units along the -x axis. Then the y component of C vector must be equal and opposite to the y component of vector A+B. That is,

\(C_y= A_y + B_y\)

    = -7.61

Then the sum of the x component of all three vectors will be equal to -7.5. Then the x component of vector C is determined as follows:

\(A_y+B_x+C_x = -7.5\\0+6+C_x=-7.5\\C_x=-13.5\)

The magnitude of vector C is given as,

\(C=\sqrt{C_x^2+C_y^2}\\C = \sqrt{(-13.5)^2+(-7.61)^2}\\C=15.5\)

The angle \(\phi\) is given as,

\(\phi = tan^{-1}(\frac{-7.61}{-13.5})\\\phi = 29.4\\\)

The angle with positive x axis is given as,

\(\phi'=\phi\) + 180°

=29.4° +180°

= 209.4°

A vector is a mathematical object that has both magnitude and direction. A vector is typically represented as an arrow in a coordinate system, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Vectors can be used to describe various physical quantities such as velocity, acceleration, force, and displacement. They are commonly used in calculus, linear algebra, and geometry. In linear algebra, vectors are used to represent points in a space, and they can be added and multiplied by scalar values to create new vectors. This allows for the creation of vector spaces, which are important in many areas of mathematics and physics.

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Complete Question:-

In this figure, the magnitude of vector A is 18.0 units, and the magnitude of vector B is 12.0 units. What vector C must be added to the vectors A and B in Fig. 1.3 so that the resultant of these three vectors points in the -x-direction and has a magnitude of 7.50 units? Use vector components to find your answer, and express vector C by giving its magnitude and the angle it makes with the x-axis taking counter clockwise to be positive.

Density is the mass per unit volume of any object. It is calculated by dividing the mass of an object by its volume. This is:

ρ = m/V

ρ = 4.05 g  / 12 mL

ρ = 0.3375 g/mL

OPTION A