Final Answer:
The magnitude of the mutual gravitational force between the two particles is approximately 0.0088 N.
Step-by-step explanation:
The gravitational force between two objects can be calculated using Newton's law of gravitation:
, where G is the gravitational constant
are the masses of the two objects, and r is the separation distance between their centers.
In this case, both particles weigh 1.10 N, and their masses m can be determined using
, where \(w\) is the weight and \(g\) is the acceleration due to gravity (approximately
). Once the masses are known, the gravitational force can be calculated.
Substituting the values into the formula, we get
N.