There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m . At what distance fr

Question

There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m . At what distance from the smaller body, the intensity of gravitational field will be zero\

Professor PC Thomas Classes · Answer

At the null point\ field due to $10000=$ field due to 100 .\ $\frac{\mathrm{G} 	imes 10000}{(1-\mathrm{x})^{2}}=\frac{\mathrm{G} 	imes 100}{\mathrm{x}^{2}} \frac{100}{(1-\mathrm{x})^{2}}=\frac{1}{\mathrm{x}^{2}}$\ $\frac{10}{1-x}=\frac{1}{x}$. Find the value of $x$\