# physics

A bag of sugar weighs 6.00 lb on Earth. What would it weigh in newtons on the Moon, where the free-fall acceleration is one-sixth that on Earth?

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1. 6.00 lb weight on earth means its mass (anywhere) is M = 6/2.2 = 2.73 kg.

On the moon, its weight is
W' = M g' where g' = 9.81/6 = 1.63 m/s^2

W' = 4.46 Newtons

You could also have use the pounds-force (lbf) to Newtons conversion factor directly, if you happened to know it.

1 lbf = (1/2.205 kg)*9.81 m/s^2 = 4.45 N

The bag weighs 1.00 lb on the Moon, hence 4.45 N

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