Two small plastic spheres having positive electrical charges are given. When they are 60.00cm apart, the repulsive force between them has the magnitude 0.250N.calculate the charge on each sphere

Answers

Answer 1

Answer:

3.16 × 10‐⁶

Explanation:

through coulomb's law

the force of attraction or repulsion of charges is given by the relation

F = k.q1.q2/r²

where your k = 9 × 10⁹

Answer 2

Answer:

Charge 3.16 mkC  microcoulomb

Explanation:

 Given:

q₁ = q₂ = q - Electrical charges

r = 60.00 sm = 0.60 m - Distance between charges

F = 0.250 N - Repulsive force between charges

___________________

q - ?

F = k·q₁·q₂ / r² = k·q·q / r² = k·q² / r²

Charge:

q = √ (F·r² / k )

q = r·√ (F / k )

q = 0.60· √ (0.250 / 9·10⁹) ≈  3.16·10⁻⁶ C or:

q = 3.16 mkC  (microcoulomb)


Related Questions

How do diet and exercise Positively affect cv disease risk

Answers

Frequent exercise is robustly associated with a decrease in cardiovascular mortality as well as the risk of developing cardiovascular disease. Physically active individuals have lower blood pressure, higher insulin sensitivity, and a more favorable plasma lipoprotein profile.


A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 2.0 x 10¹
meters per second². After 30 seconds of flight, how high has it reached?

Answers

It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.

What is altitude?

Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of  celestial object above the horizon, measured in angular distance.

Sol-A sign simply indicates multiplication operation.

As per the question we have given- a=accelaration =-2*101=-202m/s^2

(We use negative sign here because it opposes the gravitational force)

d= distance/altitude =9*103= 927 meters

V= initial velocity= 0 m/s

T = Time substituting,927=3.03 second.

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according to particle model of light what happens to the speed of light as it enters a optically denser medium.

Answers

According to particle model of light, speed of light decreases as it enters a optically denser medium.

Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:

where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.

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Why does a power plant generator produce alternating current and not direct
current?

Answers

A power plant generator does easily generate alternating current and not direct

current simply because the AC current is far cheaper to produce.

Why is a power plant generator cheaper to generate alternating current?

The simple reason why a power plant generator generate an alternating current cheaply is because the plant loses a very few energy when electricity is being transmitted with it through a long distance. Whereas, the direct current usually, frequently and most of the time loses more energy.

So therefore, we can now deduce from above that it is easy to generate alternating current from a power plant.

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Explain how friction affects the mechanical energy of a system

Answers

Friction decreases the kinetic energy which decreases the mechanical energy

A force of 10 N acts on a toy car of mass 2kg. What is the acceleration if the force is doubled?



Answers

Explanation:

According to newton's second law.

The acceleration of the car would be 10 m/s² if the force (10 N) on it is doubled.

We know that the acceleration of an object can be calculated using the formula ⇒ a = F/m (i)

Here, the force experienced by the car is ⇒ F = 10 N

If this force is doubled we would have ⇒ 2×10 ⇒ 20 N (ii)

The mass of the car is ⇒ m = 2 kg (iii)

Now, putting the values of the doubled force and mass (ii and iii) in (i), we get ⇒ a = 20/2

a = 10 m/s²

Therefore, the car has an acceleration of 10 m/s² when the force on it is doubled.

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A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters

Answers

The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.

Velocity- The rate of change of displacement is the definition of velocity.

The formula below is used to determine the cannon ball's initial velocity.

Formula:

v² = u²+2gH......... Equation 1

Where:

v = Final velocity

u = Initial velocity

H = Height

g = Acceleration due to gravity.

From the question,

Given:

v = 0 m/s (At the maximum height)

H = 4.75 m

g = 9.8 m/s

Substitute these values into equation 1

0² = u²+2×9.8×4.75

u² = 93.1

u = √(93.1)

u = 9.65 m/s

Hence, the initial velocity of the cannonball is 9.65 m/s.

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The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time? Explain your answer.

Answers

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

What is magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

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Does the coaster car travel as high as point h

Answers

Answer:

no coaster car does not travel as high

Which direction do the electrons move when the south end of the magnet goes through the coil?

Answers

Electrons will move in anti- clockwise direction in the coil when the south end of the magnet goes through the coil

If you flip the magnet to bring its south pole towards the coil, the current flows in the direction that produces a magnetic field whose south pole faces the magnet . And as we know that , in south pole of the coil , the current will move in clockwise direction . Hence , electrons will move in anticlockwise direction because electrons move in opposite direction of the current .

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If the motion of an object in the x direction and y direction is known, how can the total motion of the object be found?

Answers

Explanation:

resultant motion = √x² + y²

this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.

hope it helps. :)

What is the speed of the car with a distance of 100 meters in 35 seconds?​

Answers

Answer:

Formula

V = D/T

Resolve:

V = 100m / 35sV = 2m/5

Hope this helped

Hello..!

We first apply the data to the problem.

Data:

Depth = 100 metersT = 35sV = ?

Then, we apply the formula that is.

Formula:

V = D/T

Finally we develop the problem.

Developing:

V = 100m / 35sV = 2m/s

The speed is 2 meters per second.


Calculate the useful power output for an electric motor that uses 200 W and has an
efficiency of 40%

Answers

Correct option is B)

Power with which crane lifts the load =0.8×0.9 × input power

P=0.8×0.9×200 kW

Now, P=

F

.

v

Here, F=mg (since there is no acceleration)

10

3

×0.8×0.9×200=3.6×10

3

×10×v

⇒v=4 m/s

Which of the following courses might a mechanical engineer take in college?


Agriculture Operations

Organic Chemistry


Ethics in Sustainable Agriculture

Molecular Biology

Answers

The course to be likely taken by a mechanical engineer in college is agriculture operations (option A).

What is engineering?

Engineering is application of mathematics and the physical sciences to the needs of humanity and the development of technology.

Mechanical engineering is a subfield of engineering concerned with designing and building machines and mechanical systems.

A mechanical engineer is an individual who specialises in the field of mechanical engineering. This means that a mechanical engineer is expected to be vast in the knowledge of designing and building machines for operations in other fields.

One of those fields that a mechanical engineer can build or design machine for is agriculture. Therefore, agriculture operations is the most likely course to be taken by a mechanical engineer in college.

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Answer:  The correct answer is Agriculture Operations

Explanation:  This answer has been confirmed correct.

Mechanical engineers work with equipment and automation, in areas such as agricultural operations. In contrast, they do not typically work with chemistry, ethics, or molecular biology.

How much tension must a cable withstand if it is used to accelerate a 1800- kg car vertically upward at 0.60 m/s2

Answers

Answer:

Approximately [tex]1.9\times 10^{4}\; {\rm N}[/tex] (rounded up) assuming that [tex]g = (-9.81)\; {\rm N \cdot kg^{-1}}[/tex] (downwards.)

Explanation:

The car is accelerating at a constant [tex]a = 0.60\; {\rm m\cdot s^{-2}}[/tex] (positive since the car is accelerating upwards.) Hence, the net force on this car will be:

[tex]\begin{aligned}F_{\text{net}} &= m\, a \\ &= 1800\; {\rm kg} \times 0.60\; {\rm m\cdot s^{-2}} \\ &= 1080\; {\rm N}\end{aligned}[/tex].

Note that since net force points in the same direction as acceleration (upwards,) [tex]F_{\text{net}}[/tex] is also positive.

The main forces on this car are:

Weight (downward).Tension from the cable (upward): [tex]F(\text{tension})[/tex].

With a mass of [tex]m = 1800\; {\rm kg}[/tex], the weight on this car will be [tex]m\, g = 1800\; {\rm kg} \times (-9.81)\; {\rm N \cdot kg} = (-17658)\; {\rm N}[/tex] (negative since weight points downwards to the ground.)

The net force on this car is the sum of the external forces:

[tex]F_{\text{net}} = F(\text{tension}) + m\, g[/tex].

It is shown that [tex]F_{\text{net}} = 1080\; {\rm N}[/tex] while [tex]m\, g = (-17658)\; {\rm N}[/tex]. Substitute both values into the equation and solve for [tex]F(\text{tension})[/tex]:

[tex]1080\; {\rm N} = F(\text{tension}) + (-17658)\; {\rm N}[/tex].

[tex]\begin{aligned}F(\text{tension}) &= 1080\; {\rm N} + 17658\; {\rm N} \approx 1.9\times 10^{4}\; {\rm N} \end{aligned}[/tex] (rounded up.)

You are given 13.0 m of thin wire. You form the wire into a circular coil with 70 turns.
If this coil is placed with its axis parallel to a 0.19 T magnetic field, what is the flux through the coil?

Answers

The magnetic flux through the coil is determined as 25.2 Tm².

What is the magnetic flux through the coil?

Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.

The magnetic flux through the coil is calculated using the following formula.

Ф = BA cosθ

where;

B is the magnetic field strengthA is the area of the coilθ is the inclination of the coil

A = πd²/4

where;

d is the diameter of the wire

A = π(13)²/4

A = 132.73 m²

Since the coil is parallel to the magnetic field, θ = 0

Ф = BA cosθ

Ф = 0.19 T  x  132.73 m² x cos(0)

Ф = 25.2 Tm²

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A 487 kg bear grasping a vertical tree slides
down at constant velocity.
The acceleration of gravity is 10 m/s².
What is the friction force that acts on the
bear?
Answer in units of N.

Answers

Answer:

4870 N

Explanation:

Since he is not accelerating

  the force is equal to his weight    mg  = 487 * 10 = 4870 N

what form of energy can you produce by rubbing an eraser against a piece of paper?

Answers

Answer:

it gets hot

Explanation:

because you are rubbing it hard

you can produce heat by rubbing an eraser against a piece of paper.

An astronauts suit is heated through which method?

A. Conduction
B. Convection
C. Radiation

Answers

Radiation is correct answer.

What is radiation?

Radiation is energy that moves through space at the speed of light from a source. This energy is coupled with an electric and magnetic field, and it has wave-like qualities. Radiation is sometimes known as "electromagnetic waves."

UV rays, which can be fatal, are readily avoided by covering oneself. The visors are coated to reflect UV, while the suit's opaque layers take care of the rest. On the other end of the spectrum, x rays and gamma rays are difficult to shield—here is where lead comes in, but there isn't enough of this type of radiation to justify the added weight. A radiologist's lead apron can weigh 10-15 kg, so filling the entire suit with this thickness of lead would add at least 25-40 kg to an already large and heavy suit. The material of the suit absorbs some of the radiation, although this is not the greatest danger to astronauts.

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Mendeleev arranged elements in order for increasing?

Answers

Answer:   Relative Atomic Mass

Explanation:   The closer the element is to the bottom-right corner, the higher the relative atomic mass. Hydrogen has the lowest relative atomic number at 1, whereas Lawrencium has the highest relative atomic mass at 262.

Find the resultant force of 16N and the force of 25N acting at the same point on an object if the Force at : (1) In the same direction in the same line. (11) In the opposite direction but in the same straight line. (111) At right angles to each other.​

Answers

1 ) Resultant force if the forces act in the same direction = 41 N

2 ) Resultant force if the forces act in the opposite direction = 9 N

3 ) Resultant force if the forces act at right angles to each other = 29.68 N

F1 = 16 N

F2 = 25 N

1 ) If the forces act in the same direction,

F = F1 + F2

F = 16 + 25

F = 41 N

2 ) If the forces act in the opposite direction,

F = F2 - F1

F = 25 - 16

F = 9 N

3 ) If the forces act at right angles to each other,

F² = F1² + F2²

F² = 16² + 25²

F² = 256 + 625

F² = 881

F = 29.68 N

Therefore,

1 ) F = 41 N

2 ) F = 9 N

3 ) F = 29.68 N

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A cart is sliding across a horizontal floor. It has a mass of 25 kg and a force of 250 N. Using Newton's second law, a = F ÷ m, what is the acceleration of the cart?

0.1 m/s2
5 m/s2
10 m/s2
25 m/s2

Answers

Answer:

10m/s2

Explanation:

250/25=10

At some point during construction, the International Space Station had a
mass of 235,565 kg. When it orbited the Earth at an altitude of 400,000 m,
what was the approximate gravitational force on the Station due to Earth's
gravity? (Recall that Earth has a radius of 6.37 x 106 m, it has a mass of 5.97
x 1024 kg, and G = 6.67 x 10-11 N•m²/kg².)

Answers

The gravitational force exerted on the Station by the gravity of the Earth is approximately 0.00026680N.

Give an example to define gravitational force.

The gravitational force is the force that the earth exerts on a body to attract it. Examples of motion caused by gravitational force include the downward motion of water in rivers and streams, the upward motion of thrown objects such as balls, and the downward motion of the leaves and fruits of trees as they fall to the earth.

Where is gravity located?

All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional towards the masses of the two objects & directly proportional to the distance of their distance from one another gravitational force

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Which method occurs in a refrigerator?

A. Conduction
B. Convection
C. Radiation

Answers

Convection is the method which occurs in a refrigerator

What is Convection ?

Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.

Cool air sinks, hence the freezer is located at the top of a refrigerator. The warmer air rises, creating a convection current inside the refrigerator that helps keep it cool. Convection in refrigerators is crucial, so why? The food in the freezer cools the air at the top, which then cools the food as it descends.

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Pls draw me what a velocity time graph would look like : moving at a positive constant speed to then at rest? Thank you!!!

Answers

Answer:

See below

Explanation:

Here are a couple of options..... one where the object slows to a rest and the other where the object stops to a rest instantaneously

For one length of wire the potential difference across the wire was 1.68 V The current in the wire was 0.70 A calculate the resistance of the of this length of wire  

Answers

For one length of wire the potential difference across the wire was 1.68 V . The current in the wire was 0.70 A . The resistance of the of this length of wire will be 2.4 ohm

using ohm's law

V = IR  

I = current

R = resistance

R = V/I

  = 1.68 / 0.70 = 2.4 ohm

The resistance of the of this length of wire will be 2.4 ohm

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One way to find the mass of an object is to
measure its acceleration when a force acts on
it. If a force of 80 N causes a box to accelerate at
0.10 m/s², what is the mass of the box?

Answers

800 kg, as mass= force divided by acceleration is 80N, and mass divided by 0.1m/s2 is acceleration divided by mass, is equivalent to mass.

How does acceleration work?

The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it travels in a straight line at a quicker or slower rate. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.

What qualities make a force?

The definition of force is: The pushing or pulling on a massed object changes its velocity. An outside force has the ability to change a body's resting or moving status. It has a size and a movement.

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Can u pls show me what a velocity time graph would look like when it’s “moving at a negative constant velocity but then decelerates to a rest”? I cant figure out how it can decelerate to zero is deceleration is going down

Answers

If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period  equals the change in velocity during that time period.

What happens to an acceleration graph when velocity is constant?

Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.

During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.

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What has to happen with the time to have the smallest force to stop a moving body.

Answers

Answer:

You can only stop (or start) your body moving through space if you can cause an external force to be applied to it.

Explanation:

To cool 350 mL of coffee at 90 ∘C to 0 ∘C , what is the minimum mass of 0 ∘C ice required?

Answers

Ice at 0°C must have a minimum mass of 0.39 kg.

As we know that

M(ice) at Ti(ice) = 0°C

Mс = 350 ml at Tic = 90°C

Now,

The heat loss by coffee=heat gain by ice

So,

McScΔ₁ = M₁L₁

Then,

ρv = 10³×(350×10-³)×10-³ = 350g

The specific heat of coffee = 1 cal/9°C

The latent heat of ice = 80 cal/g

Now, we plug all the values in above formula

350×1×(90-0) - M₁x80

M₁ = [tex]\frac{350x90}{80}[/tex]

    =393.75g

    =0.393kg

The minimum mass of 0°C ice required is 0.393 kilograms

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