Easy momentum/ kenitic

  • Thread starter tnutty
  • Start date
327
1
I know that :

kinetic energy of something = P^2 / 2m , or momentum squared over 2m


why so?

I see that taking the integral of mv dv = kenitic.

can you prove this to
 

Vanadium 50

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You know p in terms of m and v. You also know E in terms of m and v. This should get you started.
 
KE = [tex]\frac{1}{2} mv ^ 2[/tex]

= [tex]\frac{1}{2} pv[/tex]

= [tex]\frac{1}{2} \frac{pmv}{m}[/tex]

= [tex]\frac{1}{2} \frac{p ^ 2}{m}[/tex]
 

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