Question

The acceleration due to gravity of the moon is 1/6times that of the earth . If the earth attracts the moon with a force of 'F' then the moon will attract the earth with the force of​

Answer 1

Answer:

hope this helps

Explanation:

Answer 2

GIVEN,

acceleration due to the gravity of the moon is 1/6th times that of earth.

TO FIND,

earth attracts the moon with a force of F, then the moon will attract earth with what force.

SOLUTION,

we are given that,

acceleration due to the gravity of the earth is 6 times that of the moon.

we know that

F= $\frac{G mM}{R^{2} }$

we see that force is directly proportional to the gravitational force G.

for earth,

F= $\frac{6Gm Mm}{R^{2} }$

we see,

F∝ 6Gm ( Gm is the gravitational force of the moon)

for moon,

F= $\frac{Gm Mm }{6 R^{2} }$

F∝ G/6

HENCE THE MOON WITH ATTRACTS EARTH WITH A FORCE OF $\frac{1}{6}$ OF THAT OF EARTH'S FORCE.