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plz help!!!!! :D

aaronmyung
in Mathematics

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Hey guys,

I stumbled upon these forums while looking for some help... :D

I've registered, and hope to become a regular poster here.

 

Anyways,

How would I show that the following mathematical expressions are dimensionally equivalent?

 

a) 1/2mv^2 and mgh

b) W and 1/2mv^2

 

Thank you so mcuh for your help.

 

Cya!

They have the same units.

To show it mathematically, convert the first one by v^2=u^2+2as

Assume u=0 or v=0.

For the second one, Work=Fs=mas=(m)(1/2)(v^2)=KE

Assume u=0 or v=0.

  • Author

thanks :D

Thats really helped me understand this a lot better, your an absolute legend !

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