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After diligently unraveling the question, I think it asks us to show something that's not true.

'N' ... the 'newton' ... is the SI unit of force.

1 newton = 1 kilogram-meter/second2 . It can't be defined with a unit of mass.

'kg' ... the 'kilogram' ... is a basic SI unit in itself. It can't be written in units of anything but mass.

It seems that there is some sort of truthful undercurrent flowing through this

question which, because of a word or two carelessly mis-copied, is not quite

visible from the surface.

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Q: Show that the units N and kg can be written using only units of meters and seconds Is this a unit of mass acceleration or force?
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