A binary star system consists of two stars of masses m1 and m2. The stars, which gravitationally attract each other, revolve around the center of mass of the system. The star with mass m1 has a centripetal acceleration of magnitude a1 . Note that you do not need to understand universal gravitation to solve this problem. Part A Find a2 , the magnitude of the centripetal acceleration of the star with mass m2.

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Chapter1: Units, Trigonometry. And Vectors
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**Binary Star System and Centripetal Acceleration**

A binary star system consists of two stars of masses \( m_1 \) and \( m_2 \). The stars, which gravitationally attract each other, revolve around the center of mass of the system. The star with mass \( m_1 \) has a centripetal acceleration of magnitude \( a_1 \).

*Note: You do not need to understand universal gravitation to solve this problem.*

---

### Part A

Find \( a_2 \), the magnitude of the centripetal acceleration of the star with mass \( m_2 \).

**Express the acceleration in terms of quantities given in the problem introduction.**

**You did not open hints for this part.**

**ANSWER:**

\[ a_2 = \_\_\_\_\_ \]
Transcribed Image Text:**Binary Star System and Centripetal Acceleration** A binary star system consists of two stars of masses \( m_1 \) and \( m_2 \). The stars, which gravitationally attract each other, revolve around the center of mass of the system. The star with mass \( m_1 \) has a centripetal acceleration of magnitude \( a_1 \). *Note: You do not need to understand universal gravitation to solve this problem.* --- ### Part A Find \( a_2 \), the magnitude of the centripetal acceleration of the star with mass \( m_2 \). **Express the acceleration in terms of quantities given in the problem introduction.** **You did not open hints for this part.** **ANSWER:** \[ a_2 = \_\_\_\_\_ \]
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