Question

A bomb of mass 6 kg initially at rest explodes in to three identical fragments. One of the fragments moves with a velocity of $10 \sqrt{3} \hat{i} m / s$ , another fragment moves with a velocity of $10 \hat{j} m / s$ , then the third fragment moves with a velocity of magnitude.

Moderate

Solution

$\begin{array}{l} P_{3} = - (P_{1} + P_{2}), P_{3} = \sqrt{P_{1}^{2} + P_{2}^{2}} \\ m_{3} v_{3} = \sqrt{{(m_{1} v_{1})}^{2} + {(m_{2} v_{2})}^{2}} \end{array}$

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