When kinetic energy become equal to momentum then the velocity becomes?

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Answer 1 · 2018-07-21T13:40:23

#2\ \text{unit}#

Let #m# be the mass & #v# be the velocity of an object then

Kinetic energy of object #=1/2mv^2#

Momentum of object #=mv#

When kinetic energy & momentum become equal in the magnitude then we have

#1/2mv^2=mv#

#mv^2=2mv#

#mv^2-2mv=0#

#mv(v-2)=0#

#v-2=0\quad(\because m\ne0, v\ne0)#

#v=2\ \text{unit}#

Hence, when the kinetic energy & momentum of an object become equal in the magnitude then the velocity becomes #2\ \text{unit}#