A 0.200-g ball hangs from a thread in a vertical electric field of 3.00 kN/C directed upward. What is the
charge on the ball if the tension in the thread is (a) zero and (b) 4.00 mN?

Answers

Answer 1
Use the conservation of energy:
mg = Eq
q = mg / E
= ( 0.200* 10 ^ -3 kg ) (9.8 m/s^2 ) / 3000 N /C )
= 0.653 micro C

b)
mg = T + Eq
mg - T = E q
q = T-mg / E
= ( 4 * 10 ^ -3 N ) -( 0.2*10^ -3 kg ) ( 9.8 m/s^2 ) / 3000 N /C
= 1.26 micro C
Tension in the thread is 0, when
Mg = force due to electric field
.200* 10^-3*9.8 =q*3*10^3
Therefore, q= .200*10^-3*9.8/3*10^3
Net tension =4*10^-3N
i.e. mg-qE = 4*10^-3
.200*9.8*10^-3
The ball is in equillibrium if it is under the effect of three forces that is unde the tension of the thread , the pull of gravity on the ball= w=mg= 0.2*10^-3*9.8=1.96*10^-3 N and the coulumb force having charge x which is downward if the ball is positve and upward if the ball is negative. Fc=qE =x*3000N/C.
first case
T-mg-Fc=0 => T=0
mg=Fc
1.96*10^-3=x*3000
x=6.5*10^-7 C charge
second case
T= 4.00mN=4*10^-3 N
4*10^-3 -1.96*10^-3- x*3000=0
x=6.08*10^-7C

Related Questions

An object with a mass of 5.0 kg accelerates 3.0 m/s2 after a force is applied to it. What is the amount
of force acting on the object?

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Answer:

Dont

Explanation:

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The emf is induced in the wire will be 1.56 ×10 ⁻³ V. The induced emf is the product of the magnetic field,velocity and length of the wire.

What is induced emf?

Emf is the production of a potential difference in a coil as a result of changes in the magnetic flux passing through it.

When the flux coupling with a conductor or coil changes, electromotive Force, or EMF, is said to be induced.

The given data in the problem is;

B is the magnitude of the magnetic field,= 5.0 ×10⁻⁵ T

V(velocity)=125 M/SEC

L(length)=25 cm=0.25 m

The maximum emf is found as;

E=VBLsin90°

E=125 × 5.0 × 10⁻⁵ ×0.25

E=1.56 ×10 ⁻³ V

Hence, the emf is induced in the wire will be 1.56 ×10 ⁻³ V

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bem ²4.23=1.4m/s
3. Use Equations: What is the mean speed in kilometers per minute (km/min)?
Convert the speed from m/s to km/min using the following formula: mean speed
(m/s) x 1km/1000m x 60s/1min=km/min.

Answers

1.4 x 1/1000 x 60
= 0.0014 x 60
= 0.084 km/min

Use the table to answer the question.
A
B
formed by oscillating source
formed by vibration of charged particles
requires a medium to transmit energy
can transmit energy through a vacuum
examples include sound waves
examples include light waves
What should column A be titled?
(1 point)
seismic waves
mechanical waves
surface waves
electromagnetic waves

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Answer:

Mechanical Waves

Explanation:

I took the practice

Under what conditions do gases follow the ideal gas law

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Answer:

According to sciences, when under moderate pressure and temperature, gases tend to follow the ideal gas law.

The distance between Carol's house and her uncle's house is 24 km. What is her speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle.

Answers

Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.

How to calculate average speed?

The average speed of a moving body can be calculated by dividing the distance moved by the time taken.

According to this question, the distance between Carol's house and her uncle's house is 24 km. The speed it will take her to get to her uncle's house in 40 minutes by motorcycle is as follows:

Average speed = 24km ÷ 40/60 hour

Average speed = 36km/hr

Therefore, Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.

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Which of the following statements is UNTRUE? In order for an object to float..

The buoyant force must be stronger than the gravitational force
The density of the object must be less than the surrounding fluid
The object must be equally buoyant with the surrounding fluid
The fluids must be more dense than the object

Answers

Answer:

The object must be equally buoyant with the surrounding fluid

is an untrue statement - because the object could not float - it could be anywhere in the fluid

Four different constant forces are exerted on a 2. 0 kg object. The figure represents the magnitude and direction of each force. If the object is initially at rest, how long will it take the object to reach a speed of 2. 0 m/s?.

Answers

Based on the mass of the object, and its acceleration, the time taken to reach a speed of 2.0 m/s is 4 seconds.

How many seconds will the object take to reach the required speed?

The time can be found as:

= Required speed / Acceletation

Accelaration is:

= Force / Mass

= (0.99iN + 0jN) / 2kg

= 0.5 ms⁻²

Time taken is:

= 2 / 0.5

= 4 seconds

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Since the force that axts on the object  is the resultant force, the time taken is 0.8 s.

What is resolution of forces?

Since force is a vector, it can be resolved into its components. From the complete question, the componenets of the force are;

Vertical component;

5N sin 373N sin 9017 N-20NTotal = 3 + 3 + 17 - 20 = 3 N

Horizontal component;

5N cos 373N cos 90Total = 3.99 + 0 = 4

Resultant force = √(3)^2 + (4)^2 = 5N

Now;

F = ma

a = F/m

a = 5N/2. 0 kg

a = 2.5 m/s^2

Given that;

v = u + at

since u = 0 (object started from rest)

2 = 2.5 * t

t = 2/2.5 = 0.8 s

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A sound wave travels at 379 m/sec and has a wavelength of 8 meters. Calculate its frequency and period.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Wavelength, Wavespeed and frequency depends on each other in the following way :

[tex]\qquad \sf  \dashrightarrow \: frequency = \dfrac{wave \: \: velocity}{wavelength} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f = \dfrac{389}{8} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f \approx 48.62 \: \: hertz[/tex]

And we know the Reciprocal relationship between frequency and period ~

So, let's find it's period •

[tex] \sf{\qquad \sf  \dashrightarrow \: t = \dfrac{8}{389}} [/tex]

[tex] \sf{\qquad \sf  \dashrightarrow \: t \approx 0.02 sec } [/tex]

Karyn is a zookeeper who takes care of baboons. Each day, Karyn writes down how the baboons eat, play, sleep, and wash. She reviews her notes every week to see if the animals are healthy and content. Which statement explains why Karyn's approach is an investigation instead of an experiment?


She is measuring variables.


She is testing a specific hypothesis.


She is not following the scientific method.


She is not attempting to change outcomes.

Answers

The statement which explains why Karyn's approach is an investigation instead because she is not attempting to change outcomes.

What is Investigation?

This is defined as the systematic study of a subject topic and involves various forms of observation.

It however doesn't involve measuring variable as the outcomes aren't changed but only recorded.

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Planet A has a mass of 2.25 x 1020 kg, while planet B has a
mass of 6.20 x 1018 kg. What is the gravitational attraction
between two planets if the distance between them is
435,500 km? Estimate G as 6.67 x 10-11 N (m/kg)

Answers

Answer:

4905.95 N

Explanation:

F= G m1 m2 / (r^2)

  = 6.67 x 10^-11   *  2.25 * 10^20 * 6.2 * 10^10 / ( 435 500 000)^2 =

( be sure to use meters    NOT kilometers !)

The gravitational attraction between two planets is  4905.95 N

What is gravitational attraction?

When two objects with masses are placed at a distance, there will an attractive force acting between them.

According to the Newton's law of gravitation, gravitational force is

F = Gm₁m₂ /r²

where r is the distance between the masses m₁ and m₂ and  G is the gravitational constant G = 6.67 x 10⁻¹¹ N-m²/kg²

Substitute the values into the expression, we get

F =  6.67 x 10⁻¹¹ x  2.25 x 10²⁰ x 6.20 x 10¹⁸ / (435,500 x 1000)²

F= 4905.95 N

Thus, the gravitational attraction between two planets is  4905.95 N.

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Two conducting spheres have net charges of +3.0 uC and -9.0 uC and attract each
other with a force of 0.20 mN. How far apart are the spheres?

Answers

The force between the two charges will be 16,000 N. It is the force exerted by one charge on another charge.

What is electric force?

The electric force between the two charges is directly proportional to the product of the charge and inversely proportional to the square of the distance between them.

The given data in the problem is;

The magnitude of charge of sphere q₁  = +3.0 μC=-3.0×10⁻⁶ C

The magnitude of charge of sphere q₂ =  -9.0 μC=9.0×10⁻⁶ C

k is the proportionality constant = 9 × 10⁹ Nm²

r is the separated distance to be found;

The electric force is F =  0.20 mN = 0.20 ×10⁻³ N

The electric force is found as;

[tex]\rm F = \frac{K q_1q_2}{r^2} \\\\ \rm 0.20 \times 10^{-3} = \frac{9 \times 10^9 \times 3.0 \times 10^{-6}\times 3.0 \times 10^{-6} }{r^2} \\\\\ R^ 2 =4.04\times 10^{-4} \\\\ R= 0.020 \ m[/tex]

Hence, the force between the two charges will be 16,000 N.

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Between 1992 and today, astronomers using large telescopes have discovered many icy pieces that orbit in the same region as the orbit of Pluto. These are believed to be members of the

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Icy pieces that orbit in the same region as the orbit of Pluto are believed to be members of the Kuiper belt.

What is the Kuiper belt?

The Kuiper belt is a shape-disc formation in the solar system observed from Neptune and more away from our sun.

The Kuiper belt consists of different celestial bodies including among others icy pieces, planets, and comets.

In conclusion, icy pieces that orbit in the same region as the orbit of Pluto are believed to be members of the Kuiper belt.

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what will be the key difference in the energy of the particles in the iron 250 K and 500 K ?​

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Answer: the guy is right

Explanation:

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The value of the peak power will be 50 W. The peak power is found as two times of the average power. Option C is correct.

What is average power?

Average power is a ratio of total work done by the body to the total time. Its unit is the watt. It is also defined as the rate of total work done by the body.

The given data in the problem is;

Average power = 25 W

Peak power = ?

The peak power is found as;

Peak power = 2 × average power

Peak power=2×25

Peak power = 50 W

Hence, the value of the peak power will be 50 W.

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What are two ways an engineer can build a car in order for it to accelerate faster

Answers

Explanation:

Take F=ma

a = F/m

For a higher, F higher or m lower

Means higher horse power for engine or lower mass for the car

An engineer can make a car to accelerate faster by having higher horsepower for the engine or less mass for the car.

What is an Acceleration?

Acceleration is defined as the rate of change of velocity of an object with respect to time. These are vector quantities because they have both direction and magnitude. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Acceleration in a car has everything to do with the torque and horsepower on the car where these two characteristics essentially determine the speed of the vehicle. The higher the torque and horsepower, the faster we go

Acceleration is expressed in terms of Force which is equals to

F=ma (m=mass, a= accelaration)

So, a = F/m

For a higher, F will be higher or m will be lower

Thus, an engineer can make a car to accelerate faster by having higher horsepower for the engine or less mass for the car.

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Spacesuits have different parts, each of which is important for the astronaut’s survival.

Use the same article and answer the question.

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Answers

Answer:

On the back of the spacesuit is a backpack called the Primary Life Support Subsystem. This backpack contains the oxygen that astronauts breathe during a spacewalk. It removes carbon dioxide that astronauts exhale. The backpack also provides electricity for the suit.

Explanation:

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brainliest, please?

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Answer:

The Local Group/ Virgo Cluster

Explanation:

Our solar system is part of a galaxy called the Milky Way galaxy. The Milky Way galaxy is part of a small cluster of just over 30 galaxies known as the "Local Group." This cluster resides in a larger cluster of galaxies called the "Virgo Cluster" (sometimes called the Virgo Supercluster). The Virgo cluster contains just about 2000 galaxies.

The study of properties of matter, energy and of their mutual relationships is called

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Explanation:

The study of properties of matter, energy and of their mutual relationships is called physics

What is the mass of a truck if it produces a force of 14,000 n while accelerating at 5 m/s^2?

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Answer:

[tex]F=ma \\ 14000 = 5m \\ m = \frac{14000}{5} \\ \therefore \: m = 2800 \: kg[/tex]

Could 2 students do different amounts of work and have the same power, why?

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Answer:

Power is defined as Work / Time

P1 = P2 = W1 / T1 = W2 / T2       W1 and W2 are not necessarily the same Power expended depends on both work input over a unit of time

I need a detailed explanation on What is nuclear fusion is and what company’s are using it

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Answer: here are some of the places that use nuclear fusion

Commonwealth Fusion Systems (CFS)

TAE Technologies.

General Fusion (Canada)

Helion Energy.

Tokamak Energy (U.K.)

First Light (U.K.)

Explanation: nuclear fusion is a nuclear reaction in which atomic nuclei of low atomic number fuse to form a heavier nucleus with the release of energy.

If the andromeda galaxy collided with the milky way, what would most likely happen to earth?.

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Answer:

the surface of the earth would've already turned into a very hot liquid water to even exist and there would be no existence of humans on earth

What is the missing number in the nuclear reaction shown below? 237 Np 93 - 4 He+ 2 233 ? Pa

actually answer pls​

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Answer:

91 is the missing number because an alpha particle with a charge of 2 was emitted.

Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a wavelength of 5.9 m and the velocity of sound in water is 15 m/s, what is the frequency of the signal?

Answers

The frequency of the signal is = 2.5 Hz

Calculation of frequency

The wavelength of the sonar device = 5.9 m

The velocity of the sound = 15 m/s

The frequency = ?

But the formula for the velocity of sound wave = frequency × wavelength

Male frequency the subject of formula,

f = v/ wavelength

f = 15/5.9

f = 2.5Hz

Therefore, the frequency of the signal is = 2.5Hz

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The amount of energy that would be needed to accelerate a large spaceship to half the speed of light is:.

Answers

At a known mass of the spaceship, the amount of energy that would be needed to accelerate the spaceship to half the speed of light is 1.5 x 10⁸  x m (J).

Energy needed

The amount of energy that would be needed to accelerate a large spaceship to half the speed of light is calculated as folllows;

E = mc²

where;

m is mass of the spaceshipc is speed of light = 3 x 10⁸ m/s

half the speed of light = 1.5 x 10⁸ m/s

E = 1.5 x 10⁸  x m

Thus, at a known mass of the spaceship, the amount of energy that would be needed to accelerate the spaceship to half the speed of light is 1.5 x 10⁸  x m (J).

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How do the amplitudes of a 120 decibel sound and a 100-decibel sound compare?​

Answers

The 120 decibel sound has more amplitude than the 100 decibel sound.

In Physics, the relation between amplitude and intensity is that the intensity of the wave is directly proportional to the square of its amplitude.

150N
V
nail
0.50 m
wood
pivot
The man applies a force of 150 N at a distance of 0.50m from the pivot.
Calculate the moment of this force about the pivot. Include a unit.

Answers

Moment = force x distance

Force = 150N
Distance = 0.50m

Moment= 150 x 0.50
=75Nm

You find 6.21 g of diamonds. You measure that the diamonds have a volume of 1.77 ml. What is the
density of diamonds, and where would the diamonds fit into your density column?

Answers

Answer:

3.51 g/mL

Explanation:

Density can be found using the equation: density = mass / volume.

In this case, mass is given in grams (g) and volume is given in milliliters (mL).

You can find the density of the diamonds by plugging the given values into the formula and simplifying.

Density = mass (g) / volume (mL)

Density = 6.21 g / 1.77 mL

Density = 3.51 g/mL

Write out the solution to the following problem: Find the force of an object with a mass of 5 kg and an acceleration of 3 m/s2.

Answers

Answer:

15 N

Explanation:

Force=mass x acceleration

15= 5 x 3

Answer: 15N

Explanation:

If the object has a mass of 5kg and accelerates 5m/s^2, force that is applied to move the object is simply the product of mass and acceleration.

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