universal law of gravitation

Question

Two masses of 5 kg and 10 kg are separated by a distance of 2 m. What is the gravitational force between them? (G = 6.67 × 10⁻¹¹ N·m²/kg²)

RankGuru · Accepted Answer

1. **Universal Law Formula**: The force $F$ between two masses $m_1$ and $m_2$ is:
   - $F = G \frac{m_1 m_2}{r^2}$.
2. **Identify Data**:
   - $G = 6.67 	imes 10^{-11} 	ext{ N}\cdot	ext{m}^2/	ext{kg}^2$.
   - $m_1 = 5 	ext{ kg}$.
   - $m_2 = 10 	ext{ kg}$.
   - $r = 2$ m.
3. **Calculation**:
   - $F = \frac{6.67 	imes 10^{-11} 	imes 5 	imes 10}{2^2} = \frac{333.5 	imes 10^{-11}}{4}$.
4. **Result**: $F = 83.375 	imes 10^{-11} = 8.34 	imes 10^{-10} 	ext{ N}$.
5. **Note**: This force is always attractive and acts along the line joining the centers of the two masses.

Rank Guru

universal law of gravitation

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