A body of mass (4m) is lying in x-y plane at rest. It suddenly

A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total kinetic energy generated due to explosion is :

By conservation of linear momentum

2mv₁ = √2 mv ⇒ v₁ =	v
	√2

As two masses of each of mass m move perpendicular to each other.

Total KE generated =	1	mv² +	1	mv² +	1	(2m)v₁²
	2		2		2

= mv² +	mv²	=	3	mv²
	2		2