Final answer:
The η0 meson has a short lifetime due to strong decay interactions, evidenced by its lifetime being within the range of lifetimes for particles that decay via the strong force. The large uncertainty in decay energy correlates with this short lifetime. Strangeness is not conserved in these strong decay processes.
Step-by-step explanation:
The η0 meson has a short lifetime compared to most other mesons due to strong decay interactions. This is because particles that decay via the strong force have lifetimes mostly in the range of 10-23 to 10-16 seconds, while those that decay via the weak force have lifetimes on the order of 10-16 to 10-12 seconds. The very short lifetime of the η0 indicates that its decay processes are governed by the strong interaction, despite it being a hadron which also feels the weak force.
The decay energy of the A+ with a lifetime interpretated from its 100 MeV energy spread can be calculated using Heisenberg's uncertainty principle. The uncertainty in decay energy and the short lifetime are inversely related, meaning a large uncertainty correlates with a very short lifetime.
For a particle decaying via the strong force, like the η0 meson, its decay processes do not conserve strangeness, which is evident in certain decay modes that do not occur despite being allowed by other conservation laws. This is in contrast to particles that decay via the weak force, where strangeness can change, and those particles typically have longer lifetimes as seen in particles like the E, having a lifetime of 1.64 x 10-10 seconds.