Question 446: Gravitation

Question

The distance of the centres of Moon and the Earth is $D$. The mass of the Earth is 81 times the mass of the Moon. At what distance from the centre of the Earth, the gravitational force on a particle will be zero?

Accepted Answer

Force will be zero at the point of zero intensity.
$$\begin{aligned}
x & =\frac{\sqrt{m_1}}{\sqrt{m_1}+\sqrt{m_2}} d \
& =\frac{\sqrt{81 M}}{\sqrt{81 M}+\sqrt{M}} D=\frac{9}{10} D
\end{aligned}$$

Answer

$\frac{D}{2}$

Answer

$\frac{2 D}{3}$

Answer

$\frac{4 D}{3}$

Answer

$\frac{9 D}{10}$

Gravitation

The distance of the centres of Moon and the Earth is D. The mass of the Earth is 81 times the mass of the Moon. At what distance from the centre of the Earth, the gravitational force on a particle will be zero?

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