Question

Convert the following measurement

Answer 1

3.4 x 10⁻² kg · m²/s²

Explanation:

`3.4* \:10^5=340000`

The numerator is in g.cm² and the denominator is the same s²

So we only need to convert the numerator from g.cm² to kg.m²

1 kg = 1000 grams = 10³ grams
1 gm = 1/10³ kg
1 gm = 10⁻³ kg

1 m = 100 cm = 10² cm

1 m² = 100² cm² = (10²)² = 10⁴ cm²

Or 1 cm² = 1/10⁴ cm² = 10⁻⁴ cm²

Therefore to convert g · cm² to kg · m² we multiply by

(10⁻³) · (10⁻⁴) = 10⁻⁷

Therefore 3.4 x 10⁵ g · cm² = 3.4 x 10⁵ x 10⁻⁷ kg · m²

= 3.4 x 10⁻² kg · m²/s²