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Two bodies of masses m(1) and m(2) are i...

Two bodies of masses `m_(1)` and `m_(2)` are initially at infinite distance at rest. Let they start moving towards each other due to gravitational attraction. Calculate the (i) ratio of accelerations and (ii) speeds at the point where separation between them becomes r.

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To solve the problem, we will break it down into two parts: (i) finding the ratio of accelerations of the two masses, and (ii) finding the speeds of the masses when the separation between them is \( r \). ### Part (i): Ratio of Accelerations 1. **Understanding the System**: - We have two masses, \( m_1 \) and \( m_2 \), that are initially at rest and at an infinite distance apart. They start moving towards each other due to gravitational attraction. 2. **Using Newton's Second Law**: ...
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