Question

Two bodies with kinetic energies in the ratio of 4 : 1 are moving with equal linear momentum. The ratio of their masses is

Moderate

Solution

$E = \frac{p^{2}}{2 m} ∴ m \propto \frac{1}{E}$ (If momentum are constant)
$\frac{m_{1}}{m_{2}} = \frac{E_{2}}{E_{1}} = \frac{1}{4}$

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