Answer:
Explanation:
According to Newton's law of universal gravitation:
Where:
is the module of the force exerted between both bodies
is the universal gravitation constant.
and are the masses of both bodies.
is the distance between both bodies
In this case we have two situations:
1) Two bags with masses and mutually exerting a gravitational attraction on each other:
(1)
(2)
(3)
2) Two bags with masses and mutually exerting a gravitational attraction on each other (assuming the distance between both bags is the same as situation 1):
(4)
(5)
(6)
Now, if we isolate
from (3):
(7)
Substituting found in (7) in (6):
(8)
(9)
Simplifying, we finally get the expression for in terms of
: