Final answer:
The force of gravitation between two bodies of masses 10 kg and 30 kg separated by 12 meters is 1.39 × 10⁻¹¹ N, which is approximately 0.0025 N, answer option A.
Step-by-step explanation:
The force of gravitation between two bodies can be calculated using Newton's Law of Universal Gravitation. The equation for the gravitational force F between two masses (M₁ and M₂) separated by a distance (R) is given by:
F = G×(M₁×M₂)/R²
Where G is the gravitational constant 6.674 × 10⁻¹¹ Nm²/kg².
For two bodies with masses of 10 kg and 30 kg separated by 12 meters, the force of gravitation would be computed as follows:
F = (6.674 × 10⁻¹¹ N·m²/kg²) × (10 kg × 30 kg) / (12 m)²
F = (6.674 × 10⁻¹¹) × (300) / (144)
F = (6.674 × 10⁻¹¹) × (2.0833)
F = 1.39 × 10⁻¹¹ N
Therefore, the gravitational force is closer to the option A. 0.0025 N.