Two bodies which are mass, move with uniform velocities of 6 m s‐1 and 18 m s‐1, respectively. Find the ratio of their kinetic energies.
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Explanation:
Given velocity of first body v
1
=v
And velocity of second body, v
2
=2v
KE=
2
mv
2
Since masses are same, kinetic energy is directly proportional to the square of the velocity (KE α v
2
)
Hence, ratio of their kinetic energies is:
KE
2
KE
1
=
v
2
2
v
1
2
=
(2v)
2
v
2
=
4v
2
v
2
=
4
1
=1:4
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