차다 is three unrelated verbs sharing one shape, and all three appear here: strapping something on (a mic, a rope), kicking, and filling up. The -게 in front is the manner word — 이렇게 (like this), 세게 (hard), 뿌옇게 (cloudily, of a window fogging with steam). Only the object tells you which meaning is in play, so 이렇게 차는 거 맞냐 is 'is this how I wear it' while 너무 세게 찼다 is 'kicked it too hard'.