Physics

Problem

In a new system of units, the fundamental standards are defined as follows: unit length

L' = 10\,\text{cm}

, unit mass

M' = 100\,\text{g}

and unit time

T' = 1\,\text{s}

. Express the universal gravitational constant

G

in this new system if its SI value is

G = 6.67 \times 10^{-11}\,\text{N m}^2 \text{kg}^{-2}