Question

Fill in the blank by suitable conversion of unit: 

G = 6.67 × 10⁻¹¹ N m² (kg)⁻²= ______ (cm)³s⁻² g⁻¹

Answer 1

G = 6.67 × 10⁻¹¹ N m² (kg)⁻² = 6.67 × 10⁻⁸ (cm)³s⁻² g⁻¹

Explanation:

1 N = 1 kg m s⁻²

1 kg = 10³ g

1 m³ = 10⁶ cm³

G = 6.67 × 10⁻¹¹ Nm² kg⁻²

= 6.67 × 10⁻¹¹ (kg m s⁻²) m² kg⁻²

= 6.67 × 10⁻¹¹ m³ s⁻² kg⁻¹

= 6.67 × 10⁻¹¹ (100 cm)³ s⁻² (1000 g)⁻¹

= 6.67 × 10⁻⁸ cm³ s⁻² g⁻¹