Four identical point charges (+4.0 C) are placed at the corners of a square which has 20-cm sides. How much work is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges?
a. +2.9 J
b. +3.9 J
c. +2.2 J
d. +4.3 J
e. +1.9 J
[Ques. 2] A particle (q = +5.0 C) is released from rest when it is 2.0 m from a charged particle which is held at rest. After the positively charged particle has moved 1.0 m toward the fixed particle, it has a kinetic energy of 50 mJ. What is the charge on the fixed particle?
a. 2.2 C
b. +6.7 C
c. 2.7 C
d. +8.0 C
e. 1.1 C
[Ques. 3] Two particles, each having a mass of 3.0 g and having equal but opposite charges of magnitude of 6.0 nC, are released simultaneously from rest when they are a very large distance apart. What distance separates the two at the instant when each has a speed of 5.0 m/s?
a. 4.3 mm
b. 8.6 mm
c. 7.3 mm
d. 5.6 mm
e. 2.2 mm
[Ques. 4] Two identical particles, each with a mass of 4.5 g and a charge of 30 nC, are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm. How far apart will they be when closest to one another?
a. 9.8 cm
b. 12 cm
c. 7.8 cm
d. 15 cm
e. 20 cm
[Ques. 5] Two particles, each having a mass of 3.0 g and having equal but opposite charges of magnitude 5.0 nC, are released simultaneously from rest when the two are 5.0 cm apart. What is the speed of either particle at the instant when the two are separated by 2.0 cm?
a. 2.1 m/s
b. 1.5 m/s
c. 1.8 m/s
d. 2.4 m/s
e. 3.2 m/s
[Ques. 6] Two identical particles, each with a mass of 2.0 g and a charge of 25 nC, are released simultaneously from rest when the two are 4.0 cm apart. What is the speed of either particle at the instant when the two are separated by 10 cm?
a. 7.3 m/s
b. 9.8 m/s
c. 9.2 m/s
d. 6.5 m/s
e. 4.6 m/s
[Ques. 7] A 60-C charge is held fixed at the origin and a 20-C charge is held fixed on the x axis at a point x = 1.0 m. If a 10-C charge is released from rest at a point x = 40 cm, what is its kinetic energy the instant it passes the point x = 70 cm?
a. 9.8 J
b. 7.8 J
c. 8.8 J
d. 6.9 J
e. 2.8 J
[Ques. 8] A particle (charge = 5.0 C) is released from rest at a point x = 10 cm. If a 5.0-C charge is held fixed at the origin, what is the kinetic energy of the particle after it has moved 90 cm?
a. 1.6 J
b. 2.0 J
c. 2.4 J
d. 1.2 J
e. 1.8 J
[Ques. 9] A particle (charge 7.5 C) is released from rest at a point on the x axis, x = 10 cm. It begins to move due to the presence of a 2.0-C charge which remains fixed at the origin. What is the kinetic energy of the particle at the instant it passes the point x = 1.0 m?
a. 3.0 J
b. 1.8 J
c. 2.4 J
d. 1.2 J
e. 1.4 J
[Ques. 10] A particle (charge = 40 C) moves directly toward a second particle (charge = 80 C) 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.
a. 0.75 m
b. 0.84 m
c. 0.95 m
d. 0.68 m
e. 0.56 m
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