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A body at rest explodes and breaks up in...

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 m/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.

Text Solution

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For momentum conservation in each direction of motion of the smaller pieces.
`{:(3m v cos theta = m xx 30),(3m v sin theta = m xx 30):}}`
These two relations give,
`tan theta = 1`, and `v=10 sqrt(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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