Final answer:
The statement is false because according to Newton's law of universal gravitation, the gravitational force between two objects increases by a factor of the square of the inverse of the distance. If the distance is reduced by 10 times, the gravitational attraction increases by 1000 times.
Step-by-step explanation:
The statement that moving two objects 10 times closer to each other will increase their gravitational attraction 100 times is false. According to Newton's law of universal gravitation, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This is represented by the equation:
Fgravity = G (M1 x M2) / R²
Where Fgravity is the gravitational force, G is the gravitational constant, M1 and M2 are the masses of the objects, and R is the distance between the centers of the two masses. If the distance is made 10 times smaller, the gravitational force would increase by a factor of 10², or 100 times. Therefore, when two objects are moved 10 times closer, the gravitational force between them actually increases by 10², or 1000 times, not merely 100 times.