Question

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

• A. $x=\frac{1}{21}$m.
• B. $x=\frac{1}{11}$m.
• C. $x=\frac{1}{12}$m.
• D. $x=\frac{1}{22}$m.

Answer 1

The correct option is B $x=\frac{1}{11}$m.

Let x be the distance from $100㎏$ for which resultant gravitational intensity is zero, gravitational force due to $100㎏$ is equal and opposite to $10,000㎏$. So,

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

$100x^2={(1-x)}^2$

$10x=1-x$

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