PART A IS CORRECT, PLEASE SHOW WORK (a) If an equivalent charge of the same mass

Question

PART A IS CORRECT, PLEASE SHOW WORK

(a) If an equivalent charge of the same mass is placed at the origin, what is its speed at any moment after it was released?
1 m/s

(b) If an equivalent charge of the same mass is placed at the midpoint of one of the side of the square, what is its speed at after it has traveled a distance L/2?
2           m/s

(c) If a charge of equal mass but opposite charge is placed at the midpoint of one of the side of the square, what is its speed at after it has traveled a distance L?
3           m/s

Four equal charges, q=9.61C, of mass m 9.61kg are at the corner of a square of side L=0.0181m. If an equivalent charge of the same mass is placed at the origin, what is its speed at any moment after it was released? If an equivalent charge of the same mass is placed at the midpoint of one of the side of the square, what is its speed at after it has traveled a distance L/2? If a charge of equal mass but opposite charge is placed at the midpoint of one of the side of the square, what is its speed at after it has traveled a distance L?

Explanation / Answer

a)the work done on the equivalent charge is

W = k x (q^2/r)

where k = (1/4pi x e_o) = 9 x 10^9 Nm^2/C^2 and r = (0.0181 - 0) m

the work done is equal to the kinetic energy of the charge therefore

W = (1/2)mv^2

or v^2 = (2W/m)

or v = (2W/m)^1/2

where m = 9.61 ukg = 9.61 x 10^-6 kg

b)the new work done is

W1 = k x (q^2/r1)

where r1 = (L/2 - 0) m

the new speed is

v1 = (2W1/m)^1/2

c)the new work done is

W2 = k x (q^2/r2)

where r2 = (L - 0) m

the new speed is

v2 = (2W2/m)^1/2

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