A body at rest explodes and breaks up into 3 pieces. Two pieces having equal mass, fly off perpendicular to each other with the same speed of 30 in/sec. The 3rd pieces has 3 times the mass of each of the other pieces. Find the magnitude and direction of its velocity immediately after the explosion .

A body at rest explodes and breaks up into 3 pieces. Two pieces having

1.	A body at rest explodes and breaks up into 3 pieces. Two pieces having equal mass, fly off perpendicular to each other with the same speed of 30 in/sec. The 3rd pieces has 3 times the mass of each of the other pieces. Find the magnitude and direction of its velocity immediately after the explosion .
Answer» Solution :For momentum CONSERVATION in each direction of motion of the smaller pieces, `3mv cos theta = m xx 30` `3m V sin theta = m xx 30` These two relations give, `TAN theta =1` and `v=10sqrt(2)`m/s The 3rd PIECE of mass 3m will go making an angle (180- `theta`) = 135° relative to either piece of equal masses.

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