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Valter edited Aug 2, 2026, 8:15 AM

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		+	### Statement
		+
		+	$2.1.52.$ [Insert the problem statement]
		+
		+	### Solution
		+
		+	### Problem
		+
		+	The accelerations of stars in a binary star system are $a_1$ and $a_2$. What is the mass of the second star if the mass of the first is $m_1$?
		+
		+	### Solution
		+
		+	The corresponding accelerations $a_1$ and $a_2$ are created solely by the forces of mutual interaction, then:
		+	$$ m_1 a_1 = F_1 $$
		+	$$ m_2 a_2 = F_2 $$
		+
		+	Since the interaction forces are equal in magnitude ($F_1 = F_2$), it follows that:
		+	$$ m_1 a_1 = m_2 a_2 $$
		+
		+	Solving for the mass of the second star $m_2$, we obtain:
		+	$$ m_2 = \frac{m_1 a_1}{a_2} $$
		+
		+	#### Answer
		+
		+	[Insert a concise answer or boxed result]

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			### Statement

			$2.1.52.$ [Insert the problem statement]

			### Solution

			### Problem

			The accelerations of stars in a binary star system are $a_1$ and $a_2$. What is the mass of the second star if the mass of the first is $m_1$?

			### Solution

			The corresponding accelerations $a_1$ and $a_2$ are created solely by the forces of mutual interaction, then:
			$$ m_1 a_1 = F_1 $$
			$$ m_2 a_2 = F_2 $$

			Since the interaction forces are equal in magnitude ($F_1 = F_2$), it follows that:
			$$ m_1 a_1 = m_2 a_2 $$

			Solving for the mass of the second star $m_2$, we obtain:
			$$ m_2 = \frac{m_1 a_1}{a_2} $$

			#### Answer

			[Insert a concise answer or boxed result]