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Dividing units for gradients (Physics EMPA)

Hi,

Doing my AS Physics EMPA soon and I've just realised I've not got a clue about units. I've been practising graph drawing and I'm unsure, when calculating a gradient, how to write my units.

For instance: I have a graph of acceleration/m per s against force/N and to work out gradient I would be doing metres per second divided by Newtons. So what unit would this have? m per sec per Newton? How would I write that?

Like, I know that according to F=ma the gradient of this should be 1/mass ... then unit would be kilograms? So confused.

any help appreciated! :smile:
Reply 1
Vertical axis you write first and then the horizontal i.e. in the case of Acceleration ms-2 against Force N, you would write it metres per second squared per Newton ms-2-N ( I think) . The unit of force is Newtons, if you're sure the gradient is 1/mass ( although I'm not sure where you got that from) then the unit should be kg-1 ? Could I get a second opinion on this from someone

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