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A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1: 1: 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s. The velocity of heaviest fragment in m/s will be
(a) 7 sqrt2
(b) 5 sqrt2
(c) 3 sqrt2
(d) sqrt2
(a)
Masses of the pieces are 1, 1,3 kg. Hence
(1 × 21)2 + (1 × 21)2 = (3 × V)2
That is, V = 7sqrt2
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