Two bodies of equal masses move with uniform velocities v and 3v respectively Find the ratio of their kinetic energies - Science - Work and Energy

Question

Two bodies of equal masses move with uniform velocities v and 3v
respectively Find the ratio of their kinetic energies

Jyoti Pant · Accepted Answer

We know that kinetic energy is given as
E = (1/2)mv2
now,
for body 1
E1 = (1/2)mv2
and
for body 2
E2=
(1/2)m(3v)2
= (9/2)mv2
so,the ratio will be
E1/E2 = [(1/2)mv2] /
[(9/2)mv2]
thus,
E1/E2 = 1/9

Two bodies of equal masses move with uniform velocities v and 3v respectively.Find the ratio of their kinetic energies.