The mass of Munem and Shahriar is 40 kg and 30 kg respectively. Both of them are running in a race.
Assume that the momentum of Shahriar and Munem is equal. Who have the greater kinetic energy among them?
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According to the condition, m 1 v 1 = m 2 v 2 .
So,
The kinetic energy of Munem, E k ′ = 2 1 m 1 ( v 1 ) 2 = 2 m 1 ( m 1 v 1 ) 2 .
The kinetic energy of Shahriar, E k ′ ′ = 2 1 m 2 ( v 2 ) 2 = 2 m 2 ( m 2 v 2 ) 2 .
Now,
E k ′ ′ E k ′ = 2 m 2 ( m 2 v 2 ) 2 2 m 1 ( m 1 v 1 ) 2 = 2 m 1 ( m 1 v 1 ) 2 × ( m 2 v 2 ) 2 2 m 2 = m 1 m 2 = 4 0 3 0 = 4 3
Since E k ′ ′ > E k ′ , the kinetic energy of Shahariar is greater.