Answer:
8.01 x 10^-7 N
Step by step explanation:
The magnitude of the force of gravitational attraction between two objects can be calculated using the formula:
F = G * (m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force between the two objects
G is the gravitational constant (6.7 x 10^-11 N m^2 kg^-2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
Using this formula and plugging in the given values, we get:
F = 6.7 x 10^-11 * (200 kg * 100 kg) / (0.5 m)^2
F = 8.01 x 10^-7 N
Therefore, the magnitude of the force of attraction between the two spheres is 8.01 x 10^-7 N.