plz help!!!!! :D

[aaronmyung]

Hey guys,

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

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!

[Primarygun]

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.

[aaronmyung]

thanks

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