4. Two objects carry initial charges that are q, and q respectively, where q, 41

Question

4. Two objects carry initial charges that are q, and q respectively, where q, 41 They are located 0.200 m apart and behave like point charges. They attract each other with a that has a magnitude of 1.20 N. The objects are then brought into are returned to their initial positions. Now it is found that the with a force whose magnitude What are the magnitudes of the initial charges on the o contact and then they objects repel one another is equal to the magnitude of the initial attractive force bjects?

Explanation / Answer

here,

r = 0.2 m

let the initial charges be q1 and q2

attractive force , F = k * q1 * q2 /r^2

- 1.2 = 9 * 10^9 * q1 * q2 /0.2^2 ...(1)

as the force is attractive , one charge is positive and one is negative

after they are in contact , net charge on each object , q = (q1 + q2)/2

force , F = 9 * 10^9 * q^2 /r^2

1.2 = 9 * 10^9 * ((q1+ q2)/2)^2 /0.2^2 ...(2)

from (1) and (2)

q1 = - 9.57 * 10^-7 C

q2 = 5.6 * 10^-6 C

or

q1 = 9.57 * 10^-7 C

q2 = - 5.6 * 10^-6 C

the initial magnitude of charges is q1 = 9.57 * 10^-7 C

q2 = 5.6 * 10^-6 C

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