Answer
See explanation.
Work Step by Step
Charge must be conserved. The total kinetic energy comes from the decrease in mass-energy.
The rest energies are given in Table 44.3.
a. Charge is conserved, so the decay products are neutral overall. There are 2 possibilities, $\pi^0\pi^0\pi^0$ and $\pi^0\pi^+\pi^-$.
b. The starting particle has rest energy of 547.3 MeV.
For the first possibility, the final rest energy is 3(135.0 MeV), so the difference is 547.3MeV-3(135.0 MeV) = 142 MeV.
For the second possibility, the final rest energy is 135.0 MeV+2(139.6 MeV), so the difference is 547.3MeV- 135.0 MeV-2(139.6 MeV) = 133 MeV.
