Two bodies of masses 100 kg and 10,000 kg are at a distance of 1 m apart. At what distance from 100 kg on the line joining them…

Q: Two bodies of masses 100 kg and 10,000 kg are at a distance of 1 m apart. At what distance from 100 kg on the line joining them will the resultant gravitational field intensity be zero ?

Sol: $\large \frac{G \times 100}{x^2} = \frac{G \times 10000}{(1-x)^2}$

$\large \frac{1}{x} = \frac{10}{1-x}$

10 x = 1-x

$\large x = \frac{1}{11} m $