Are the speakers amplified externally or are they running off of the radio's power? If it is running off of radio power, is it a stock radio or aftermarket?
Is the loud popping noise causing all music to stop playing through the speaker, or does it play music and still pop while its doing it?
It is probably the positive speaker wire touching the negative speaker wire or vice versa and causing distortion (the popping noise) But there are other factors that I wouldn't rule out.
-Steven-