Question

Two point charges totaling 8.00 µC exert a repulsive force of
0.150 N on one another when separated by 0.802 m. What is the
charge on each?

smallest charge

largest charge

(b) What is the charge on each if the force is attractive?

smallest charge

largest charge

Answer #1

q1 + q2 = 8 uC

Electrostatic force is given by

F = kq1q2/r^2

when force is repulsive, means both charge is positive

q1q2 = F*r^2/k

q1q2 = 0.15*0.802^2/(9*10^9)

q1q2 = 1.072*10^-11

q1 + q2 = 8*10^-6 C

from above equation

q1*(8*10^-6 - q1) = 1.072*10^-11

Solve this quadratic equation

q1 = 1.7*10^-6 C (Smallest Charge)

q2 = 6.3*10^-6 C (Largest Charge)

B.

when force is attractive means both charge are of opposite signs

q1 + q2 = 8*10^-6

q1*q2 = -0.150*0.802^2/(9*10^9) = 1.072*10^-11

q1*(8*10^-6 - q1) = -1.072*10^-11

Solve this quadratic equation

q1 = -1.17*10^-6 C (Smallest Charge)

q2 = 9.17*10^-6 C (Largest Charge)

a) Two point charges totaling 8.50 µC exert a repulsive force of
0.150 N on one another when separated by 0.804 m. What is the
charge (in µC) on each?
smallest charge _____ µC largest charge _____ µC
(b) What is the charge (in µC) on each if the force is
attractive?
smallest charge ____ µC largest charge _____µC

Two point charges totaling 7.00 µC exert a repulsive force of
0.250 N on one another when separated by 0.357 m. What is the
charge (in µC) on each?
smallest charge
largest charge
(b) What is the charge (in µC) on each if the force is
attractive?
smallest charge
largest charge

(a) Two point charges totaling 9.00 µC exert a repulsive force
of 0.200 N on one another when separated by 0.314 m. What is the
charge (in µC) on each? smallest charge µC largest charge µC
smallest charge =
largest charge =
(b) What is the charge (in µC) on each if the force is
attractive?
smallest charge =
largest charge =

(a) Two point charges totaling 8.50 µC exert a repulsive force
of 0.200 N on one another when separated by 0.444 m. What is the
charge (in µC) on each? smallest charge µC largest charge µC (b)
What is the charge (in µC) on each if the force is attractive?
smallest charge µC largest charge µC

(a) Two point charges totaling 8.50 µC exert a repulsive force
of 0.250 N on one another when separated by 0.520 m. What is the
charge on each?
smallest charge 7.5E-6 Incorrect: Your answer is incorrect. µC
largest charge 1.0E-6 Incorrect: Your answer is incorrect. µC (b)
What is the charge on each if the force is attractive? smallest
charge 7.5E-6 Incorrect: Your answer is incorrect. µC largest
charge -1.0E-6 Incorrect: Your answer is incorrect. µC

two
point charges totaling 7.00 exert a repulsive force of 0.100N on
one another when separated by 0.703 m. what is the charge on each
if the force is attractive? Smallest charge? Largest charge ?

Two electrostatic point charges of +55.0 µC and +48.0 µC exert a
repulsive force on each other of 160 N. What is the distance
between the two charges? The value of the Coulomb constant is
8.98755 × 109 N · m2 /C 2 . Answer in units of m.

Two tiny conducting spheres are identical and carry charges of
-21.4 µC and +46.5 µC. They are separated by a distance of 2.39
cm.
(a) What is the magnitude of the force that each sphere
experiences, and is the force attractive or repulsive?
(b) The spheres are brought into contact and then separated to a
distance of 2.39 cm. Determine the magnitude of the force that each
sphere now experiences, and state whether the force is attractive
or repulsive.

Two point particles separated by 0.5 m carry a total charge of
150 µC.
(a) If the two particles repel each other with a force of 80 N,
what are the charges on each of the two particles?
q1 = µC (smaller charge)
q2 = µC (larger charge)
(b) If the two particles attract each other with a force of 80
N, what are the charges on the two particles?
q1 = µC (smaller charge)
q2 = µC...

5. Two identical metal spheres are placed 15.0 cm apart. A
charge of 6.00 µC is placed on one sphere while a charge of −2.00
µC is placed upon the other. What is the force on each sphere? If
the two spheres are brought together and touched and then separated
to their original separation, what will be the force on each
sphere?
Answer: F12 =4.80 N
attractive q = 2.00
μC
F12 = 1.60 N repulsive
7. Three charges q1...

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