In SI units G = 6.67 × 10⁻¹¹ N m² kg⁻², with dimensions [M⁻¹ L³ T⁻²].
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
In SI units , with dimensions . What is its value in CGS units (g, cm, s)?
Need a reminder? The key ideaShow
A quantity with dimensions changes its number between two systems as
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Factors. , , and the seconds are the same.
Step 2. New number. .
Answer: .
Watch out. Each factor goes in with its own power. The mass, with the power , makes the number times smaller; the length, with the power , makes it a million times bigger.
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