A body of mass \( M \) at rest explodes into three pieces, two of w...

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A body of mass \( M \) at rest explodes into three pieces, two of which of mass \( M / 4 \) each are thrown off in
P perpendicular directions with velocities of \( 3 \mathrm{~m} / \mathrm{s} \) and

W \( 4 \mathrm{~m} / \mathrm{s} \) respectively. The third piece will be thrown off with a velocity of
(1) \( 1.5 \mathrm{~m} / \mathrm{s} \)
(2) \( 2.0 \mathrm{~m} / \mathrm{s} \)
(3) \( 2.5 \mathrm{~m} / \mathrm{s} \)
(4) \( 3.0 \mathrm{~m} / \mathrm{s} \)
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