Question

Convert the value of g equal to 6. 6 into 10 minus -11NmKg per second square into CGS unit system

Answer 1

G = ?

M2 = 1 kg

L2 = 1m

T2 = 1s

The dimensional formula for gravitational constant is [M-1L3T-2]

In cgs system, dimensional formula for G is [M1xL1yT1z]

In SI system, dimensional formula for G is [M2xL2yT2z]

Here x = −1, y = 3, z = −2

[M2xL2yT2z] = Gcgs[M1xL1yT1z]

G = Gcgs[M1/m2]x[M1/m2]y[M1/m2]z

= 6.67 × 10−8 [1g/1kg]-1[1cm/1m]3[1s/1s]-2

= 6.67 × 10−11

In SI units,

G = 6.67 × 10−11 N m2 kg−2