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

Two bodies of masses `m_(1)` and `m_(2)` are placed distant d apart. Show that the position where the gravitational field due to them is zero, the potential is given by, `V = - (G)/( d) ( m_(1) +m_(2) + 2 sqrt( m_(1) m_(2)))`

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To solve the problem, we need to find the position where the gravitational field due to two masses \( m_1 \) and \( m_2 \) is zero, and then calculate the gravitational potential at that position. ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have two masses \( m_1 \) and \( m_2 \) separated by a distance \( d \). - Let’s denote the position where the gravitational field is zero as point \( P \), which is at a distance \( x \) from mass \( m_1 \) and \( d - x \) from mass \( m_2 \). ...
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