A mass M moves with speed V. An explosion divides the mass in half giving each half a speed of v in the CM (Center of Mass) frame. The increase in the kinetic energy is LAB (Laboratory) frame is (the motion is confined in one dimension) :
1
\( \frac{\mathrm{M} v^2}{2}\)
2
\( \frac{\mathrm{M} v^2}{4} \)
3
\( \frac{\mathrm{M} v^2}{\sqrt{2}} \)
4
\( \frac{\mathrm{M} v^2}{8}\)
5
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