A geologist weighs a mineral sample on Earth, where the gravitational field strength is 10 N kg−110\ \mathrm{N\,kg^{-1}}10 Nkg−1. The weight of the sample is 56 N.
A fragment of mass 1.4 kg is cut from the sample and kept on Earth. The rest of the sample is taken to a research base on a moon, where the gravitational field strength is not known.
At the base, a 2.0 kg reference mass is hung from a newtonmeter. The newtonmeter reads 3.0 N.
Calculate the weight of the rest of the sample at the research base.