A particle (charge = 40 μC) moves directly toward a second particle (charge = 80 μC) which is held in a fixed position. At an instant when the distance between the two particles is 2.0 m, the kinetic energy of the moving particle is 16 J. Determine the distance separating the two particles when the moving particle is momentarily stopped.

Answers

Answer 1

Answer:

The distance separating the two particles when the moving particle is momentarily stopped is 0.947 m

Explanation:

Given that,

First charge = 40 μC

Second charge = 80 μC

Distance between the two particles = 2.0 m

Kinetic energy = 16 J

We need to calculate the distance separating the two particles when the moving particle is momentarily stopped

Using conservation of energy

[tex]K.E+\dfrac{kq_{1}q_{2}}{d}=\dfrac{kq_{1}q_{2}}{x}+K.E[/tex]

Put the value into the formula

[tex]16+\dfrac{9\times10^{9}\times40\times10^{-6}\times80\times10^{-6}}{2}=\dfrac{9\times10^{9}\times40\times10^{-6}\times80\times10^{-6}}{x}+0[/tex]

[tex]16+14.4=\dfrac{28.8}{x}[/tex]

[tex]30.4x=28.8[/tex]

[tex]x=\dfrac{28.8}{30.4}[/tex]

[tex]x=0.947\ m[/tex]

Hence, The distance separating the two particles when the moving particle is momentarily stopped is 0.947 m

Answer 2

The distance separating the two particles when the moving particle is momentarily stopped is 0.947 m.

The given parameters;

charge of the first particle, q₁ = 40 μCcharge of the second particle, q₂ = 80 μCinitial distance between the particles, x₁ = 2 minitial kinetic energy, K.E₁ = 16 J

The kinetic energy is zero at the instant the moving particle is momentarily stopped.

The distance separating the two particles when the moving particle is momentarily stopped is calculated as follows;

[tex]K.E_1 \ + W_1 = K.E_2 + W_2\\\\K.E_1 + \frac{kq_1q_2}{x_1} = K.E_2 + \frac{kq_1q_2}{x_2} \\\\16 \ + \ \frac{(9\times 10^9)\times (40\times 10^{-6})\times (80\times 10^{-6})}{2} = 0 \ + \ \frac{(9\times 10^9)\times (40\times 10^{-6})\times (80\times 10^{-6})}{x_2} \\\\30.4= \frac{28.8}{x_2} \\\\x_2 = \frac{28.8}{30.4} \\\\x_2 = 0.947 \ m[/tex]

Thus, the distance separating the two particles when the moving particle is momentarily stopped is 0.947 m.

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Related Questions

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mass
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volume

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Answer:  It is mass

Explanation: It is caused by a bending of space-time.

Answer:

B - Mass

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do you think objects will be able to move without action and reaction forces?

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Your car burns gasoline as you drive up a mountain road. What energy transformation is taking place?

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Answer:

the chemical energy of the gasoline is converted into kinetic energy of the car.

Explanation:

Gasoline contains several chemicals like lubricants, anti-rust agents and anti-icing agents which are added to improve the performance of a car. The energy change taking place during the burning of gasoline is chemical energy to thermal energy.

What is gasoline?

Gasoline is a pale brown or pink liquid which is made from the processed crude oil. It evaporates easily and is highly flammable and form explosive mixtures in air. It is a mixture of many hydrogen and carbon containing chemicals which are hydrocarbons.

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Your answer will be 0.016 I think. Hope this helps!

a gardener crosses a plant with red flowers with one with white flowers. each plant is pure for its trait for flower color.

if the gene for flower colors shows incomplete dominance, what kind of coloring will the flowers on the offspring plants most likely have

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A Gardner crosses the plant with red and white flowers. Each is pure of its traits. If the gene of the flower shows incomplete dominance the dominant flow gene will show the color.

They are a mix of red and white then on the basis of dominance and recessiveness. The offspring will be in pink color. Hence the option C only pink is correct.

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mechanical advantage of a first class Lever can be one or greater than one or less than one why​

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Explanation:

Because they change the direction of force and multiply the effort.

They increase the rate of doing work.

So, MA of first class lever can be one or greater than one or less than one

how can being physically fit help you emotionally

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It can help you feel better about your self and body
it helps your self esteem and mental heath, this also motivates u to become physically active and less self conscious

How do we know if something is living or non-living?

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If something is living it usually has to eat something to thrive, for example a tree photosynthesis to get the nutrition it needs while a rock just sits there and isn't living.

Answer:

To be considered living it have to use energy, it has to be made of cells. Something living is also referring to things that were once living

Explanation:

What is the mass of the block of iron that has a density of 7.87 g/cm3. Its volume measurements are 2 cm x 10 cm x 5 cm.

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I believe that the mass is 787 but I’m not 100% certain.

Which statement accurately describes the atmospheres of the inner planets?

Mars has no atmosphere.
Mercury has a thick atmosphere.
Mars and Venus have similar atmospheres.
Earth and Venus have similar atmospheres.

Answers

Answer:

Mars and venus have similar atmospheres

Answer:

Earth and Venus have similar atmospheres

Explanation:

If nitrogen, which has an electronegativity of 2.0, bonda with hydrogen, which has an electronegativity of 2.1, the bond between the two atoms will be classified as a(n) _________ covalent bond.

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Answer: it’s Nonpolar

Explanation:

Atoms with small differences in their electronegativities are said to form nonpolar covalent bonds.

Answer:

caden

Explanation:

Earth's crust is made up of large and small plates that are in slow, constant motion, driven by convection curents in Earth's mantle. Scientists who study Earth have consistently observed that most earthquakes and volcanoes
occur where plates meet Which of the following best describes or categorizes plate tectonics?
A scientific law
B scientific theory
C hypothesis
D Aprediction

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Answer:

B

Explanation:

Answer:

c

Explanation:

because it is a hypthesis led up by earths crust is made up of large, but dont get to wrong! it is slow so answer is

HYPOTHESIS

Define rest
Define motion

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Rest- to stop doing work or an activity, spend time relaxing

Motion- an act of process of moving

Answer:

motion: motion is the phenomenon in which an object changes its position over time. four common types of motion are rotary, oscillating, linear, and reciprocating.

rest is the polar opposite

Explanation:

the smooth and accurate execution of movement as conceived in the mind and executed by the body parts

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The smooth and accurate execution of movement as conceived in the mind and executed by the body parts describes ; The central nervous system.

Although your question is incomplete an answer is provided which falls within the scope of your question

The human brain receives, interprets and transfer signals it deduces from the impulses it received to the various sense organs ( body parts ) for execution. and this process involves coordination within the nervous system.

The central nervous system is a category of the Nervous system of a human and it consists of the spinal cord and the human brain. and the peripheral nervous system

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The organisms and environments that make up a community, called an Response area, are constantly changing. Sudden and violent events, such as Response area from the ocean and Response area, that often cause these changes are called Response area. Response area results when rainfall exceeds the holding capacity of a drainage system.

Answers

Answer:

ecosystem; hurricanes and tornadoes; catastrophic events.; Fooding; moving water; soil

Explanation:

After using the word bank to fill in the blanks in the passage, the passage reads;

"The organisms and environments that make up a community called an ecosystem are constantly changing. Sudden and violent events, such as hurricanes and tornadoes that often cause these changes are called catastrophic events. Fooding results when rainfall exceeds the holding capacity of a drainage system. The energy of the  fast-moving water and the layers of sediment carried by it  can uproot or bury plants, reshape the soil and destroy  roads and buildings."

Which statement explains how gravity and inertia work together?

They change the motion of objects.

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They prevent objects from moving in a circular motion.

Answers

Answer:

A: They change the motion of objects

Explanation:

Gravity force that attracts a body toward the center of the earth, or toward any other physical body having mass.

Inertia: is a property of matter by which it continues in its existing uniform motion in a straight line, unless that state is changed by an external force.

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Assume that a scale is in an elevator on Earth.
what force would the scale exert on a 53-kg person
standing on it during the following situations?
(use Fnet = ma and F = mg and g = 10m/s^2)
a. The elevator moves up at a constant speed.
b. It slows at 2.0 m/s^2 while moving upward.
C. It speeds up at 2.0 m/s^2 while moving downward.
d. It moves downward at a constant speed.
Blank 1:
Blank 2:
Blank 3:

Answers

★ Remember :

The reading of scale of a man in an elevator :

When the elevator moves upward with acceleration a, R = m(g + a)When the elevator moves downwards with acceleration a , R = m(g - a)When the elevator falls freely, we take a = g so, R = m(g - g) = 0When the lift is at rest or moves with uniform velocity, a = 0, so R = m(g - 0) = mg

A). The elevator moves up at a constant speed[tex].[/tex]

∴ Acceleration of elevator = 0

➠ R = mg

➠ 53 × 10

➠ R = 530N

B). It slows at 2m/s² while moving upward.

∴ Acceleration of elevator = -2m/s²

[Negative sign shows that speed decreases with time]

➠ R = m(g + a)

➠ R = 53(10 + (-2))

➠ R = 53 × 8

➠ R = 424N

C). It speeds up at 2m/s² while moving downward.

∴ Acceleration of elevator = 2m/s²

➠ R = m(g - a)

➠ R = 53(10 - 2)

➠ R = 53 × 8

➠ R = 424N

D). It moves downward at constant speed.

∴ Acceleration of elevator = 0

➠ R = mg

➠ R = 53 × 10

➠ R = 530N

Hope It Helps!

(a) When the elevator moves up with a constant speed, the force on the scale is 519.4 N.

(b) When the elevator slows down at 2 m/s² while moving up,  the force on the scale is 625.4 N

(c) When the elevator speeds up at 2 m/s² while moving down, the force on the scale is 413.4 N.

(d) When the elevator moves down at constant speed, the force on the scale is 519.4 N.

The given parameters;

mass of the person , m = 53 kg

The force that scale must exert on the person is calculated as follows;

F = mg + ma

F = m(a + g)

(a)

When the elevator moves up with a constant speed, the acceleration is zero.

F = m(0 + g)

F = mg

F = 53 x 9.8 = 519.4 N

(b)

When the elevator slows down at 2 m/s² while moving up;

F = m(a + g)

F = 53(2 + 9.8)

F = 625.4 N

(c)

When the elevator speeds up at 2 m/s² while moving down;

F = m(g - a)

F = 53(9.8 - 2)

F = 413.4 N

(d)

when the elevator moves down at constant speed;

F = m(g - a)

F = 53(9.8 - 0)

F = 519.4 N

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A bar of gold has a temperature of 31°C, and a bar of aluminum has a
temperature of 27°C. Which statement explains why the bar of aluminum has
a lower temperature?

Answers

Answer:the particles that make up the aluminum bar are moving more slowly

Explanation:just did it on

A bar of gold has a temperature of 31°C, and a bar of aluminum has a

temperature of 27°C. Because the particles that make up the aluminum bar are moving more slowly.

What is Temperature ?

Temperature is a physical quantity which measures hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature.

Absolute scale of temperature means Kelvin scale of temperature. relation between Kelvin(K) and centigrade (°C), °C= K - 273.15 from equation, 273.15 K means 0 °C, which is freezing point of water (ice). when we give temperature to the body, its molecule or atom absorbs thermal energy and vibrate about their mean position.

Amplitude of vibration get increases as we go on increasing temperature and for higher temperature force of attraction between molecules gets weaker. Hence for higher temperature, due to weaken the force of attraction between molecule, solid goes into liquid state. and further increase in temperature liquid goes into gaseous state.

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A girl tries to jump over a 0.825 m
wide creek by jumping at 3.87 m/s
at a 18.8° angle. What is her
height when she reaches the
other side of the creek?

Answers

3.87 m/s)*sin (18.8 degree) = 1.247 m/s. That’s the vertical component of her initial velocity. The horizontal component is 3.864 m/s. It takes(0.825m/s)= 0.225 seconds for her to cross the creek. Height = 0.0325 meters

7. A mass m1 of 250 g is on a table connected to a massless pulley, as shown. The coefficient of friction between m1 and the table is 0.228. What is the maximum value of m2 before m1 starts sliding across the table?

Answers

Answer:

The minimum mass of m2 before m1 starts sliding across the table is 57 grams

Explanation:

The given mass on the table, m1 = 250 g

The coefficient of friction between the table and the mass, m1, μ = 0.228

Therefore, the friction force, F[tex]_F[/tex] between the mass m1 and the table is given as follows;

F[tex]_F[/tex] = W₁ × μ

Where;

W₁ = The weight of m1  = Mass of m1 × Acceleration due to gravity

W₁ = 250 g × 9.81 m/s² = 0.25 kg × 9.81 m/s² = 2.4525 N

W₁ = 2.4525 N

Which gives;

F[tex]_F[/tex] = 2.4525 N × 0.228 = 0.55917 N

F[tex]_F[/tex] = 0.55917 N

By equilibrium of forces, the weight, W₂, of the mass m2 at which the mass m1 starts sliding is equal to the frictional force F[tex]_F[/tex] of m1 or 0.55917 N

Therefore, for slipping to occur, we have;

W₂ = 0.55917 N

However, W₂ = Mass of m2 × Acceleration due to gravity

∴ W₂ = 0.55917 N = m2 × 9.81 m/s²

0.55917 N = m2 × 9.81 m/s²

m2 = 0.55917 N/(9.81 m/s²) = 0.057 kg = 57 grams

The minimum mass of m2 before m1 starts sliding across the table is 57 grams.

Which explanation is based on scientific evidence?
A. Using ancient techniques, it is possible to change lead into gold.
B. Chemical data collected from rock formations can be used to
determine that Earth is billions of years old.
C. The mineral quartz has properties that help protect the body from
illness.
D. The relative positions of the Sun, Earth, and stars at the time of a
person's birth can affect his or her personality.

Answers

Answer:

The answer is B. I hope this helps!

Explanation:

B is the only answer with a scientific explanation. You cannot change lead into gold, quartz can't protect you from illness, and the positions of stars and planets have no effect on a person.

What symbol do we use for the resultant?

Answers

Answer:

8-0!/

Explanation:

The capitary action of water is caused the cohesion of water molecules to different types of molecules and the adhesion of water molecules with other water molecules true or false

Answers

Answer:

This is True

Explanation:

I just did this exact unit in bio last week I hope this helps ;)

Find the horizontal and vertical displacement comments of 145m displacement of a superhero that flies from the top of a building at an angle of 28 degrees below the horizontal

Answers

Answer:

The horizontal and vertical displacement is 128.02 m and 68.07 m respectively.

Explanation:

Displacement, d = 145 m

The top of a building at an angle of 28 degrees below the horizontal

We need to find the horizontal and vertical displacement.

For horizontal displacement,

[tex]D_x=d\cos\theta\\\\D_x=145\times \cos(28)\\\\D_x=128.02\ m[/tex]

For vertical displacement,

[tex]D_y=d\sin\theta\\\\D_y=145\times \sin(28)\\\\D_y=68.07\ m[/tex]

So, the horizontal and vertical displacement is 128.02 m and 68.07 m respectively.

The real advantage to hydrostatic weighing is that it __________.
A.
can be done anywhere with no equipment
B.
gives one of the most accurate measurements of body fat
C.
uses calipers to measure body fat

Answers

Answer:

B. gives one of the most accurate measurements of body fat

Answer:

B. ) gives one of the most accurate measurements of body fat

You use 35 joules of energy to move a 7 newton box. How far did you move it?

Answers

If you picked it straight up, you lifted it 5 meters.

If you moved it horizontally, it could be ANY distance.

Answer:

5

Explanation:

distance = work / force

d = 35 J / 7 N

d = 5 m

Where is a bibliography or works-cited list placed within a paper or report?

in the introductory material
at the bottom of each page
at the end
in the appendix

Answers

Answer:

at the end

Explanation:

Answer:

at the end of the page

Explanation:

leave a rating for my dying soul please. :)

Please help me please! :(

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Answer:

The trachea is one part of the respiratory tree, that is a conduit for air to pass through on its way to or from the alveoli of the lungs. This transmits oxygen to the body and removes carbon dioxide.

The bronchi are the airways that lead from the trachea into the lungs and then branch off into progressively smaller structures until they reach the alveoli, the tiny sacs that allow for the exchange of oxygen and carbon dioxide in the lungs.

Explanation:

Answer:

dont know

Explanation:

sorry man

A high-speed train travels with an average speed of 227 km/hr. The train travels for 2 hrs. How far does the train travel?

Answers

Answer: The answer would be 454 miles.

Explanation: You multiply the average speed by time travelled

which of these is a logical hypothesis regarding mass and period​

Answers

Answer:

An increase in the mass on the string will cause an increase in the period.

Explanation:

We'll begin by writing an expression showing the relationship between the period and mass. This is shown below:

T = 2π√(m/K)

Where:

T is the period of oscillation.

m is the mass of the object.

K is the spring constant.

T = 2π√(m/K)

From the above formula:

The period (T) is directly proportional to the square root of mass (m) and inversely proportional to the square root of the spring constant (K). This implies that an increase in the mass of the object on the spring will result in an increase in the period of oscillation and a decrease in the mass of the object will also decrease the period of oscillation.

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