Question

G = 6.67 × 10⁻¹¹ N m² (Kg)⁻² = .......... (cm)³ s⁻² G⁻¹

Answer 1

Dear Student,

# Answer-
G = 6.67×10⁻¹¹ N.m².Kg⁻² = 6.67×10^-8 cm³.s⁻².g⁻¹

# Explaination-
Suppose x be the value of blank. Then,
G = 6.67×10⁻¹¹ N.m².Kg⁻² = x cm³.s⁻².g⁻¹ ...(1)

Here,
1 N = 10^5 dyne = 10^5 g.m.s⁻²
1 m = 100 cm
1 kg = 1000 g

Putting these values in eqn (1),
x = 6.67×10^-11 × 10^5 × (100)^2.(1000)^-2
x = 6.67×10^-8

Putting this x = 6.67×10^-8 in blank we get,
G = 6.67×10⁻¹¹ N.m².Kg⁻² = 6.67×10^-8 cm³.s⁻².g⁻¹

Hope this was useful...