To find the magnitude of the resulting force on the 9 kg mass at the origin, use the formula F = G * (m1 * m2) / r^2.
Step-by-step explanation:
To find the magnitude of the resulting force on the 9 kg mass at the origin, we can calculate the gravitational force between the 9 kg mass and the other two masses using the formula:
F = G * (m1 * m2) / r^2
Using the given value of the universal gravitational constant G = 6.6726 × 10^-11 N·m²/kg², the mass of the 9 kg object, and the distances between the masses, we can calculate the gravitational forces and find their vector sum.