Joules and Kinetic Energy [units wise]

[thomas49th]

K.E is in joules

joules = 1Nm

Nm = m/s² . m
= m²/s²

therefore

k.e = 0.5mv²

m²/s² = kg . m²/s²

there is an extra kg. I don't see how

there is the same problem with GPe
GPE = m gh
m²/s² = kg . m²/s²

How can that be. The units of 0.5kgv² need to equal Nm

Thanks :)

 

[mgb_phys]

N = kg m s^-2 ( from f=ma )

Energy = Nm = kg m² s^-2

 

[thomas49th]

i was just on my way to delete this post when i realized whay a stupid mistake i'd made.
F = ma
N = kg . m/s²

cheers :)