Question

A body of mass 1 kg initially at rest explodes and breAks into 3 fragments of mass in the ratio 1:1:3 the two pieces of equal mass fly off perpendicular to each other with a speed of 30m/s each what is the velocity of heavier fragment

Answer 1

ACCORDING TO LAW OF CONSERVATION OF LINEAR MOMENTUM 
M1V1=mv+mv+3mv
v=30ms-1
30kg*0=30m+30m+3xm
assuming masses m,m and 3m and x=velocity of hevier fragment
o=60m+3xm
-60m/3m=x
-20=x
THEREFORE THE HEVIER FRAGMENT FLIES OFF WITH A SPEED OF 20ms-1 in the perpendicular direction.