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In an experiment, three microscopic latex spheres are sprayed into a chamber and become charged with +3 e , +5 e , and −3 e , respectively. Later, all three spheres collide simultaneously and then separate. Which of the following are possible values for the final charges on the spheres? Select two answers.

X Y Z
(a) +4 e −4 e +5 e
(b) −4 e +4.5 e +5.5 e
(c) +5 e −8 e +7 e
(d) +6 e +6 e −7 e
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If objects X and Y attract each other, which of the following will be false?

  1. X has positive charge and Y has negative charge.
  2. X has negative charge and Y has positive charge.
  3. X and Y both have positive charge.
  4. X is neutral and Y has a charge.

(c)

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Suppose a positively charged object A is brought in contact with an uncharged object B in a closed system. What type of charge will be left on object B?

  1. negative
  2. positive
  3. neutral
  4. cannot be determined
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What will be the net charge on an object which attracts neutral pieces of paper but repels a negatively charged balloon?

  1. negative
  2. positive
  3. neutral
  4. cannot be determined

(a)

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When two neutral objects are rubbed against each other, the first one gains a net charge of 3 e. Which of the following statements is true?

  1. The second object gains 3 e and is negatively charged.
  2. The second object loses 3 e and is negatively charged.
  3. The second object gains 3 e and is positively charged.
  4. The second object loses 3 e and is positively charged.
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In an experiment, a student runs a comb through his hair several times and brings it close to small pieces of paper. Which of the following will he observe?

  1. Pieces of paper repel the comb.
  2. Pieces of paper are attracted to the comb.
  3. Some pieces of paper are attracted and some repel the comb.
  4. There is no attraction or repulsion between the pieces of paper and the comb.

(b)

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In an experiment a negatively charged balloon (balloon X) is repelled by another charged balloon Y. However, an object Z is attracted to balloon Y. Which of the following can be the charge on Z? Select two answers.

  1. negative
  2. positive
  3. neutral
  4. cannot be determined
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Suppose an object has a charge of 1 C and gains 6.88×10 18 electrons.

  1. What will be the net charge of the object?
  2. If the object has gained electrons from a neutral object, what will be the charge on the neutral object?
  3. Find and explain the relationship between the total charges of the two objects before and after the transfer.
  4. When a third object is brought in contact with the first object (after it gains the electrons), the resulting charge on the third object is 0.4 C. What was its initial charge?

(a) -0.1 C, (b) 1.1 C, (c) Both charges will be equal to 1 C, law of conservation of charge, (d) 0.9 C

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The charges on two identical metal spheres (placed in a closed system) are -2.4×10 −17 C and -4.8×10 −17 C.

  1. How many electrons will be equivalent to the charge on each sphere?
  2. If the two spheres are brought in contact and then separated, find the charge on each sphere.
  3. Calculate the number of electrons that would be equivalent to the resulting charge on each sphere.
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In an experiment the following observations are made by a student for four charged objects W, X, Y, and Z:

  • A glass rod rubbed with silk attracts W.
  • W attracts Z but repels X.
  • X attracts Z but repels Y.
  • Y attracts W and Z.

Estimate whether the charges on each of the four objects are positive, negative, or neutral.

W is negative, X is positive, Y is negative, Z is neutral.

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Section summary

  • There are only two types of charge, which we call positive and negative.
  • Like charges repel, unlike charges attract, and the force between charges decreases with the square of the distance.
  • The vast majority of positive charge in nature is carried by protons, while the vast majority of negative charge is carried by electrons.
  • The electric charge of one electron is equal in magnitude and opposite in sign to the charge of one proton.
  • An ion is an atom or molecule that has nonzero total charge due to having unequal numbers of electrons and protons.
  • The SI unit for charge is the coulomb (C), with protons and electrons having charges of opposite sign but equal magnitude; the magnitude of this basic charge q e size 12{ lline q rSub { size 8{e} } rline} {} is
    q e = 1.60 × 10 19 C . size 12{ lline q rSub { size 8{e} } rline =1 "." "60" times "10" rSup { size 8{ - "19"} } C} {}
  • Whenever charge is created or destroyed, equal amounts of positive and negative are involved.
  • Most often, existing charges are separated from neutral objects to obtain some net charge.
  • Both positive and negative charges exist in neutral objects and can be separated by rubbing one object with another. For macroscopic objects, negatively charged means an excess of electrons and positively charged means a depletion of electrons.
  • The law of conservation of charge ensures that whenever a charge is created, an equal charge of the opposite sign is created at the same time.

Conceptual questions

There are very large numbers of charged particles in most objects. Why, then, don't most objects exhibit static electricity?

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Why do most objects tend to contain nearly equal numbers of positive and negative charges?

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Problems&Exercises

Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many electrons are needed to form a charge of –2.00 nC (b) How many electrons must be removed from a neutral object to leave a net charge of 0.500 µ C ?

(a) 1.25 × 10 10

(b) 3.13 × 10 12

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If 1 . 80 × 10 20 size 12{1 "." "80" times "10" rSup { size 8{"20"} } } {} electrons move through a pocket calculator during a full day's operation, how many coulombs of charge moved through it?

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To start a car engine, the car battery moves 3 . 75 × 10 21 size 12{3 "." "75" times "10" rSup { size 8{"21"} } } {} electrons through the starter motor. How many coulombs of charge were moved?

-600 C

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A certain lightning bolt moves 40.0 C of charge. How many fundamental units of charge q e size 12{ lline q rSub { size 8{e} } rline} {} is this?

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Questions & Answers

how did you get 1640
Noor Reply
If auger is pair are the roots of equation x2+5x-3=0
Peter Reply
Wayne and Dennis like to ride the bike path from Riverside Park to the beach. Dennis’s speed is seven miles per hour faster than Wayne’s speed, so it takes Wayne 2 hours to ride to the beach while it takes Dennis 1.5 hours for the ride. Find the speed of both bikers.
MATTHEW Reply
420
Sharon
from theory: distance [miles] = speed [mph] × time [hours] info #1 speed_Dennis × 1.5 = speed_Wayne × 2 => speed_Wayne = 0.75 × speed_Dennis (i) info #2 speed_Dennis = speed_Wayne + 7 [mph] (ii) use (i) in (ii) => [...] speed_Dennis = 28 mph speed_Wayne = 21 mph
George
Let W be Wayne's speed in miles per hour and D be Dennis's speed in miles per hour. We know that W + 7 = D and W * 2 = D * 1.5. Substituting the first equation into the second: W * 2 = (W + 7) * 1.5 W * 2 = W * 1.5 + 7 * 1.5 0.5 * W = 7 * 1.5 W = 7 * 3 or 21 W is 21 D = W + 7 D = 21 + 7 D = 28
Salma
Devon is 32 32​​ years older than his son, Milan. The sum of both their ages is 54 54​. Using the variables d d​ and m m​ to represent the ages of Devon and Milan, respectively, write a system of equations to describe this situation. Enter the equations below, separated by a comma.
Aaron Reply
find product (-6m+6) ( 3m²+4m-3)
SIMRAN Reply
-42m²+60m-18
Salma
what is the solution
bill
how did you arrive at this answer?
bill
-24m+3+3mÁ^2
Susan
i really want to learn
Amira
I only got 42 the rest i don't know how to solve it. Please i need help from anyone to help me improve my solving mathematics please
Amira
Hw did u arrive to this answer.
Aphelele
hi
Bajemah
-6m(3mA²+4m-3)+6(3mA²+4m-3) =-18m²A²-24m²+18m+18mA²+24m-18 Rearrange like items -18m²A²-24m²+42m+18A²-18
Salma
complete the table of valuesfor each given equatio then graph. 1.x+2y=3
Jovelyn Reply
x=3-2y
Salma
y=x+3/2
Salma
Hi
Enock
given that (7x-5):(2+4x)=8:7find the value of x
Nandala
3x-12y=18
Kelvin
please why isn't that the 0is in ten thousand place
Grace Reply
please why is it that the 0is in the place of ten thousand
Grace
Send the example to me here and let me see
Stephen
A meditation garden is in the shape of a right triangle, with one leg 7 feet. The length of the hypotenuse is one more than the length of one of the other legs. Find the lengths of the hypotenuse and the other leg
Marry Reply
how far
Abubakar
cool u
Enock
state in which quadrant or on which axis each of the following angles given measure. in standard position would lie 89°
Abegail Reply
hello
BenJay
hi
Method
I am eliacin, I need your help in maths
Rood
how can I help
Sir
hmm can we speak here?
Amoon
however, may I ask you some questions about Algarba?
Amoon
hi
Enock
what the last part of the problem mean?
Roger
The Jones family took a 15 mile canoe ride down the Indian River in three hours. After lunch, the return trip back up the river took five hours. Find the rate, in mph, of the canoe in still water and the rate of the current.
cameron Reply
Shakir works at a computer store. His weekly pay will be either a fixed amount, $925, or $500 plus 12% of his total sales. How much should his total sales be for his variable pay option to exceed the fixed amount of $925.
mahnoor Reply
I'm guessing, but it's somewhere around $4335.00 I think
Lewis
12% of sales will need to exceed 925 - 500, or 425 to exceed fixed amount option. What amount of sales does that equal? 425 ÷ (12÷100) = 3541.67. So the answer is sales greater than 3541.67. Check: Sales = 3542 Commission 12%=425.04 Pay = 500 + 425.04 = 925.04. 925.04 > 925.00
Munster
difference between rational and irrational numbers
Arundhati Reply
When traveling to Great Britain, Bethany exchanged $602 US dollars into £515 British pounds. How many pounds did she receive for each US dollar?
Jakoiya Reply
how to reduced echelon form
Solomon Reply
Jazmine trained for 3 hours on Saturday. She ran 8 miles and then biked 24 miles. Her biking speed is 4 mph faster than her running speed. What is her running speed?
Zack Reply
d=r×t the equation would be 8/r+24/r+4=3 worked out
Sheirtina
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Source:  OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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