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Q.

Two bodies of masses $m_{1}$ and $m_{2}$ have equal momentum. Their kinetic energies are in the ratio ____.

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Detailed Solution

Two bodies of masses m1 and m2 have equal momentum. Their kinetic energies are in the ratio

\frac{m_{2}}{m_{1}}

.
The body's kinetic energy is supplied by

E = \frac{1}{2} mv²

,
Where momentum is given by

p = mv

E \propto \frac{1}{m}

(for the same momentum)
Finding

\frac{E_{1}}{E_{2}} = \frac{m_{2}}{m_{1}}

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