Two objects are identical and small enough that their sizes can be ignored relat

Question

Two objects are identical and small enough that their sizes can be ignored relative to the distance between them, which is 0.28 m. In a vacuum, each object carries a different charge, and they attract each other with a force of 0.5 N. The objects are brought into contact, so the net charge is shared equally, and then they are returned to their initial positions. Now it is found that the objects repel one another with a force whose magnitude is equal to that of the initial attractive force. What is the initial charge on each object? (Note: there are two possible pairs of answers, but assume q1 to be the larger number.) q1= q2=

Explanation / Answer

final charge on each object after bringing to contact = q1+q2 /2. magnitude of Initial attractive force = final repulsive force So, -q1q2 = ((q1+q2)/2)^2 -4q1q2 = q1^2 + q2^2 + 2q1q2 q1^2 + q2^2 +6q1q2 = 0 q1/q2 = -5.83 q1 = -5.83*q2 Force = 9*10^9 * q1q2/0.28^2 q2 = -8.6810^-7 C q1 = 5.04*10^-6 C

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.