Find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses `m_(1)=1kg` and `m_(2)=4kg` separated through a distance `l=3m` ?
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To find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses \( m_1 = 1 \, \text{kg} \) and \( m_2 = 4 \, \text{kg} \) separated by a distance \( l = 3 \, \text{m} \), we can follow these steps:
### Step 1: Identify the Position Where Gravitational Field Intensity is Zero
The gravitational field intensity \( g \) due to a mass \( m \) at a distance \( r \) is given by:
\[
g = \frac{Gm}{r^2}
\]
where \( G \) is the gravitational constant.
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