Question

Two bodies of mass 9kg and 4kgare separated by a distance of 200m at what distance from 9kg the field is zero

Answer 1

$\huge\fcolorbox{red}{pink}{Answer \: :}$

✒ Given:

✏ Two bodies of mass 9kg ang 4kg are separated by a distance of 200m.

✒ To Find:

✏ A distance from 9kg mass where the field becomes zero.

✒ Formula:

✏ Formula of gravitational field is given by

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{\boxed{ \bold{ \rm{ \pink{E = \frac{Gm}{ {r}^{2} } }}}}}\:$

✒ Calculation:

✏ let distance of null-point from 9kg mass is x m and from 4kg mass is (200-x) m.

$\implies \rm \: E_{9 \: kg} = E_{4 \: kg} \\ \\ \implies \rm \: \frac{ \cancel{G} \times 9}{ {x}^{2} } = \frac{ \cancel{G} \times 4}{ {(200 - x)}^{2} } \\ \\ \implies \rm \: \frac{x}{200 - x} = \frac{3}{2} \\ \\ \implies \rm \: 2x + 3x = 600 \\ \\ \implies \rm \: 5x = 600 \\ \\ \therefore \: \underline{ \boxed{ \bold{ \rm{ \orange{x = 120 \: m}}}}} \: \purple{ \clubsuit}$

Answer 2

$\large \underline{ \red{ \boxed{ \bf \pink{Answer}}}}$