What is the relation between kinetic energy and momentum ?

1 Answer
Jul 2, 2016

Answer:

#P=sqrt(2mE)#

Explanation:

#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)#