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Physics · GRAVITATION
हिन्दीThree equal masses of mass \( m \) each are situated at the vertices of an equilateral triangle \( ABC \) of side length such that the distance from each vertex to the centroid \( G \) is \( 1\text{ m} \). If the mass at vertex \( A \) is doubled to \( 2m \), what is the magnitude of the net gravitational force on a mass \( 2m \) placed at centroid \( G \)?
Correct answer · Option 3
\( 2Gm^2 \)
Explanation
The initial three masses give zero net force at \( G \). Doubling mass at \( A \) adds an extra force towards \( A \): \( F_{\text{net}} = \frac{G(m)(2m)}{1^2} = 2Gm^2 \).
