A stationary body explodes into four identical fragments such that three of them fly off mutually…

A stationary body explodes into four identical fragments such that three of them fly off mutually perpendicular to each other, each with same kinetic energy E0. The energy of the explosion will be K times of E0, then the value of K is

Solution

P 1 =m v 0 i ^
P 2 =m v 0 j ^
P3=mv0j^
P4=mv
0=P1+P2+P3+P4
V=-v0(i^+j^+k^)
v=v03
Total energy =3×12mv02+12mv2=3E0+3E0
=6E0
 

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