A neutral \( K \) meson at rest decays into two \( \pi \) mesons, which travel in opposite directions along the \( x \) axis with speeds of \( 0.828 c \). If instead the K meson were moving in the positive \( x \) direction with a velocity of \( 0.486 c \), what would be the velocities of the two \( \pi \) mesons?
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In the rest frame of the neutral \( K \) meson, the total momentum before the decay is zero since the \( K \) meson is at rest. After the decay, the two \( \pi \) mesons must have equal and opposite momenta to conserve momentum. Show more…
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