What is the relation between kinetic energy and momentum ?

Question

28200 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-02T19:40:31

$P=sqrt(2mE)$

$P:"momentum of object"$
$E:"The kinetic energy of object"$
$m:"mass of object"$
$v:"velocity of object"$

$"momentum is expressed as "P=m*v$

$P^2=m^2*v^2$

$P^2/m=m*v^2$

$color(red)(1/2)*p^2/m=color(red)(1/2)*m*v^2$

$"The kinetic energy of an object is written a s "E=1/2*m*v^2$

$P^2/(2*m)=E$

$P^2=2*m*E$

$P=sqrt(2mE)$