Chapter 23, Problem 92E

(a)

To determine

velocity of the center of mass of the point charges.

(b)

To determine

To show: that relative energy of the system is $E_{\text{rel}}=\frac{1}{2}\left(\frac{m_1{m}_2}{m_2+m_2}\right)v^2+\frac{q_1{q}_2}{4\pi {\epsilon }_{0}r}$.

(c)

To determine

The numerical value of $E_{\text{rel}}$.

(c)

To determine

Whether the particles escape from one another and explain why it is.

(e)

To determine

The maximum separation when the velocity is zero.

(f)

To determine

$E_{\text{rel}}$ and final relative speed when $r\to \infty$ if the particle do escape otherwise determine the distance of maximum separation $r$ when $v=0$ For $v_1=400\text{m}/\text{s}$ and $v_2=1800\text{m}/\text{s}$ and separation between them is $9.00\text{mm}$.