Two balls, A and B, with masses ma and my, are connected by a taut, massless string, and are moving along a horizontal frictionless plane. The distance between the centers of the two balls is L. At a certain instant, the velocity of ball B has magnitude v and is directed perpendicular to the string and parallel to the horizontal plane, and the velocity of ball A is zero. (Figure 1) Part A Find T, the tension in the string. Express T in terms of m, m,, v, and L.

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### Two Balls on a String

Two balls, A and B, with masses \( m_a \) and \( m_b \), are connected by a taut, massless string and are moving along a horizontal frictionless plane. The distance between the centers of the two balls is \( L \). At a certain instant, the velocity of ball B has magnitude \( v \) and is directed perpendicular to the string and parallel to the horizontal plane, and the velocity of ball A is zero. ([Figure 1])

#### Part A

Find \( T \), the tension in the string.

Express \( T \) in terms of \( m_a \), \( m_b \), \( v \), and \( L \).

- **View Available Hint(s)**

\[ T = \]

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Transcribed Image Text:### Two Balls on a String Two balls, A and B, with masses \( m_a \) and \( m_b \), are connected by a taut, massless string and are moving along a horizontal frictionless plane. The distance between the centers of the two balls is \( L \). At a certain instant, the velocity of ball B has magnitude \( v \) and is directed perpendicular to the string and parallel to the horizontal plane, and the velocity of ball A is zero. ([Figure 1]) #### Part A Find \( T \), the tension in the string. Express \( T \) in terms of \( m_a \), \( m_b \), \( v \), and \( L \). - **View Available Hint(s)** \[ T = \] [Submit](#) [Provide Feedback](#)
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