Two point masses and are kept apart on a straight line

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

Two point masses

m_1 = 2\,\text{kg}

and

m_2 = 8\,\text{kg}

are kept

24\,\text{cm}

apart on a straight line. Using

G = 6.67\times10^{-11}\,\text{N\,m}^2\text{kg}^{-2}

, calculate the distance from the

2\,\text{kg}

mass at which a third very small test mass would experience zero net gravitational force.