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What is the force of gravitation between two bodies having masses 10kg and 30kg and separated by 12 meters?

A. 0.0025 N
B. 2.5 N
C. 25 N
D. 250 N

1 Answer

6 votes

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.

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