Question

Two bodies of different masses $m _ { 1 }$ and $m _ { 2 }$ have equal momenta. Their kinetic energies $E _ { 1 }$ and $E _ { 2 }$ are in the ratio

• A. $\sqrt { m _ { 1 } } : \sqrt { m _ { 2 } }$
• B. $m _ { 1 } : m _ { 2 }$
• C. $m _ { 2 } : m _ { 1 }$
• D. $m _ { 1 } ^ { 2 } : m _ { 2 } ^ { 2 }$

Answer 1

Answer: (C)

$m _ { 2 } : m _ { 1 }$

Answer 2

$E = \frac { P ^ { 2 } } { 2 m }$ if bodies possess equal linear momenta then

$E \propto \frac { 1 } { m }$ i.e. $\frac { E _ { 1 } } { E _ { 2 } } = \frac { m _ { 2 } } { m _ { 1 } }$