A mass 1 kg initially at rest explodes to 3 fragments of mases 1:1:3. The two pieces of equal masses fly off perpendicular to each other with a speed 30 m/s each. Find the velocity of heavier fragment.

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A mass 1 kg initially at rest explodes to 3 fragments of mases 1:1:3. The two pieces of equal masses fly off perpendicular to each other with a speed 30 m/s each. Find the velocity of heavier fragment.