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During explosion, a bomb explodes into t...

During explosion, a bomb explodes into three pieces. Two fragments, whose masses are 0.8 kg and 0.5 kg fly off with velocities of `10ms^(-1)` and `16ms^(-1)` respectively along the paths at right angles to each other. If the third fragment goes off with a velocity of `24ms^(-1)`, then find its mass and direction of motion w.r.t. the first fragment.

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