First slide
Location of centre on mass for multiple point masses

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 (ν). The total kinetic energy generated due to explosion is



Let vbe velocity of third piece of mass 2 m. Initial momentum, pi=0(As the body is at rest)
Final momentum, pf=mvı^+mvȷ^+2mv

 According to law of conservation of momentum 


 The magnitude of v is 


 Total kinetic energy generated due to explosion 


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