Identical point charges (+30 C) are placed at the corners of a rectangle (4.0 m 6.0 m). How much external energy is required to bring a charge of 55 C from infinity to the midpoint of one of the 6.0-m long sides of the rectangle?
a. 22 J
b. 16 J
c. 13 J
d. 19 J
e. 8.0 J
[Ques. 2] Identical point charges (+20 C) are placed at the corners of an equilateral triangle with sides of 2.0-m length. How much external energy is required to bring a charge of 45 C from infinity to the midpoint of one side of the triangle?
a. 26 J
b. 16 J
c. 23 J
d. 21 J
e. 12 J
[Ques. 3] A charge of +3.0 C is distributed uniformly along the circumference of a circle with a radius of 20 cm. How much external energy is required to bring a charge of 25C from infinity to the center of the circle?
a. 5.4 J
b. 3.4 J
c. 4.3 J
d. 2.7 J
e. 6.8 J
[Ques. 4] Identical point charges (+50 C) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?
a. 41 J
b. 16 J
c. 64 J
d. 10 J
e. 80 J
[Ques. 5] Through what potential difference must an electron (starting from rest) be accelerated if it is to reach a speed of 3.0 107 m/s?
a. 5.8 kV
b. 2.6 kV
c. 7.1 kV
d. 8.6 kV
e. 5.1 kV
[Ques. 6] Identical 8.0-C point charges are positioned on the x axis at x = 1.0 m and released from rest simultaneously. What is the kinetic energy of either of the charges after it has moved 2.0 m?
a. 84 mJ
b. 54 mJ
c. 96 mJ
d. 63 mJ
e. 48 mJ
[Ques. 7] 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. 8] 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. 9] 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. 10] 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
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