First slide

Gravitational field intensity

Question

At what distance from the centre of the moon is the point at which the strength of the resultant field of earth's and moon's gravitational fields equal to zero? The earth's mass is 81 times that of moon and the distance between centres of these planets is 60 R where R is the radius of earth :

Easy

A

6R
B

4R
C

3R
D

5R

Solution

$\frac{GM}{x^{2}} = \frac{G (81 M)}{(60 R - x)^{2}} \Rightarrow x = 6 R$

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