A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 
. The two pieces of equal masses fly off perpendicular to each other with a speed of 
each. The velocity of the heavier fragment is 
.
Text Solution
Verified by ExpertsD
From mass ratio 2:2:3 with total mass 14 kg: individual masses are 
, and 6 kg.
Setting coordinate axes along the motion directions of the two equal fragments: fragment 1 has momentum 
, and fragment 2 has 
.
By momentum conservation, initially at rest: 
, so 
.
Velocity of 6 kg fragment: 
.
Speed: 
.
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