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+ <h2>Solutions of Savchenko Physics Textbook</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../#2.3">$\leftarrow$Back</a></h3>
+
+ <h3> Statement </h3>
+ <p>
+ $2.3.39.$ One research institute decided to use an expression for the potential energy of point charges in the form $U' = \frac{kqQ}{r} - \frac{kqQ}{R}$, where $R$ is a constant distance set once and for all. Will using $U'$ instead of $U = \frac{kqQ}{r}$ affect the results of particle motion calculations?
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+ $$
+u = \frac{kqQ}{r}
+$$
+
+$$
+u' = \frac{kqQ}{r} - \frac{kqQ}{R}
+$$
+
+$$
+R = \text{const}
+$$
+
+$$
+(u_x)' = p
+$$
+
+$$
+(u')' = - \frac{kqQ}{r^2} \, dr
+$$
+
+$$
+(u')' = - \frac{kqQ}{r^2} \, dr
+$$
+
+$$
+(\text{const})' = 0 \Rightarrow (R)' = 0
+$$
+
+$$
+(u')' = (u')'!
+$$
+
+$$
+u = u'!
+$$
+
+$$
+\text{No, it won't!}
+$$
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ No.
+ </p>
+
+ <p style="text-align: right; font-style: italic; font-size: 14;">
+ Almaskhan Arsen<br>
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