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Two point particles of mass m and 2m are...

Two point particles of mass m and 2m are initially separated by a distance 4a. They are then released to become free to move. Find the velocities of both the particles when the distance between them reduces to a.

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To solve the problem of finding the velocities of two point particles of mass \( m \) and \( 2m \) when the distance between them reduces from \( 4a \) to \( a \), we will use the principles of conservation of linear momentum and conservation of mechanical energy. ### Step-by-Step Solution: 1. **Initial Setup**: - Let the mass \( m_1 = m \) and mass \( m_2 = 2m \). - The initial distance between them is \( 4a \). - When they are released, they will move towards each other due to gravitational attraction. ...
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