Final answer:
The gravitational constant, denoted by G, has a value of approximately 6.674 × 10^(-11) N·m²/kg². It is used to calculate the gravitational force between two objects. In this case, plugging the given values into the formula, we find that the value of the gravitational constant is approximately 3.2 × 10^(-10) N·m²/kg².
Step-by-step explanation:
The gravitational constant is denoted by G and has a value of approximately 6.674 × 10-11 N·m²/kg². It is used to calculate the gravitational force between two objects. The formula to calculate the gravitational force between two objects is F = G * (M₁ * M₂) / R², where F is the force, G is the gravitational constant, M₁ and M₂ are the masses of the two objects, and R is the distance between them.
In this case, the masses of the objects are given as 100N and 200N. The force is given as 0.00000200N and the distance is 2m. Plugging these values into the formula, we can solve for G:
F = G * (M₁ * M₂) / R²
0.00000200 = G * (100N * 200N) / (2m)²
0.00000200 = G * (100 * 200) / 4
0.00000200 = G * 50000 / 4
G = (0.00000200 * 4) / 50000
G = 0.000000016 / 5000G ≈ 3.2 × 10-10 N·m²/kg²
The value of the gravitational constant is approximately 3.2 × 10-10 N·m²/kg².