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Question

Question: A body of mass 5kg initially at rest explodes into 3 fragments with mass ratio 3 : 1 : 1. Two of fra...

A body of mass 5kg initially at rest explodes into 3 fragments with mass ratio 3 : 1 : 1. Two of fragments each of mass m are found to move with a speed 60m/s in mutually perpendicular directions. The velocity of third fragment is

A

60√2 m/s

B

20√3 m/s

C

10√2 m/s

D

20√2 m/

Answer

20√2 m/

Explanation

Solution

3mv = (m×60)2+(m×60)2\sqrt{(m \times 60)^{2} + (m \times 60)^{2}} = m 60√2

v = 20√2 m/s