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A body of mass 8kg at rest exploded into 3 pieces of masses 1kg, 2kg and 5kg. The first two pieces fly off perpendicular with velocities in the ratio $3 : 2$ and 5 kg piece fly off at $10m/s$ . Then

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Velocity of 2kg part is

20m/s

Velocity of 2kg part is

10m/s

Velocity of 1kg part is

30m/s

Velocity of 1kg part is

15m/s

answer is A, B.

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Detailed Solution

m = 8 kg, m_{1} = 1, m_{2} = 2, m_{3} = 5

$3 v_{i} + 2 v_{j} = 50$

$v (3 i + 2 j) = 50$

$v \times 5 = 50$

$v = 10$

Ration of masses velocity $= 3 : 2 : 5$

$v = 20 m/s of 2kg$

$v = 30 m/s of 1 kg$

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