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Please show how the solution was arrived at I'm trying to learn something from this, just the solution doesn't do me any good in trying to learn how to solve the problem.

4.(2) The fern is defined as the unit of force required to accelerate a unit of mass, called the bung, with the gravitational acceleration on the surface of the moon, which is one-sixth the normal gravitational acceleration on earth.

a) What is the conversion factor that would be used to convert a force from the natural unit to the derived unit in this system (“gc”)?

b) What is the weight in ferns of a 5.6 bung object on the moon? What does the same object weigh in Seattle?

Explanation / Answer

(a)

1 Newton = the force necessary to accelerate 1 kg by 1 m/s. g sub c is the acceleration of Earth. Equal to 9.8 m/s^2 or alternatively 9.8 Newtons/kg. Another way to express it would be g[c] = 6*g[moon].

So if g[moon] = 1 fern/bung, then g[c] = 6 fern/bung.

(b)

So a 5.6 bung mass would weigh 5.6 ferns on the Moon,

and (5.6*6) = 33.6 ferns in Seattle (I.e. on Earth).

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